diff --git "a/data/dm_maths/full_data_2/6251_11255.jsonl" "b/data/dm_maths/full_data_2/6251_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/6251_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = -c + 2*s + 32, 0 = 22*c - 24*c + 2*s + 66. Calculate the remainder when 914 is divided by c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a - 2. Let g = 268 + -273. Let l be d(g). Calculate the highest common divisor of 258 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/5 + 824*z**4\/15 - 21632*z**3\/15 + 12892*z**2 - 148430*z\/3 + 209300\/3 = 0. Calculate z.\nAnswer: -161, 5, 26\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5 + 25. Let z be -5*(-3)\/(3 + x). Let p be (z\/10)\/(2\/(-12)). Solve -4 = -p*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419212 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3770\/(-3393))\/((2\/(-9))\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (150\/63825)\/((-6)\/(-138))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 47\/(-28)*2 - -3. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6305835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5379 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 18 - 558. Let t(o) = o**3 + 23*o**2 - 56*o - 36. Let s be t(-25). Let v = s - w. Calculate the remainder when 17 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -981 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6079 - 6081. Put l, 8\/9, -0.1, -1\/9 in ascending order.\nAnswer: l, -1\/9, -0.1, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -740516 divided by 13?\nAnswer: -740516\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.2 (c) 2 (d) 2.7 (e) 2\/3 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396976 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -241 - -5?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/2 + 9 - 2. Let d(g) = -709*g + 4256. Let z be d(6). Solve -3*a = w, -y + 27 = z*y - 5*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1289105991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.948 - 0.052. Let a = m - 39. Let c = a - -16. Is 1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 16*f**2 + 29*f - 69. Calculate i(-13).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p = 947 - 137. Solve 16 + 54 = p*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15504000 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*u - 43 + 64 = 0, 7 = 5*i + 4*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 - 1 + h**3 + 2*h + 4*h**2 - 6*h**2. Let r(w) = -1647*w - 6585. Let t be r(-4). Calculate l(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*c - 87, f = -c - 3*f - 43. Let k = c + 46. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/96 and -101\/60?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 + 11*c + 83. Let h be q(16). Let o = h + 1180. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.08 times 1052?\nAnswer: -27436.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13820*t**3 + 3*t + 98561 with respect to t.\nAnswer: 41460*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6935 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 4*a = -40. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 585661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -12*h**2. Suppose 2*k = -3*k - 0*k. Let u(q) = 4*q + k*q - 5*q - q. What is c(u(g))?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-12) - (-53)\/4. Let m be 5\/(0 + 0 + 1). Let q(g) = -g**3 + 9*g**2 - 6*g. Let k be q(m). What is the greatest common divisor of w and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 54 - 114 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 110 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.27, 3, -2\/41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 14234824.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -16. Let o(p) = -40*p - 6. Let v(s) = -41*s + 1. Let y(j) = o(j) - v(j). What is y(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/126 and 7\/250422.\nAnswer: 5258862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10664\/682)\/86)\/((-4)\/(-32)).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*d**6 + 6243*d**5 + 556*d**2 + 146 wrt d.\nAnswer: 1920*d**3 + 374580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from {b: 2, t: 2, n: 2, w: 12, s: 1}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 728\/224 - 2\/8. Solve 4*b = 2*r - 6, b + 6 = -r + a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+24785\nAnswer: 24785.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3 + 4)*(0 + -1). What is the third biggest value in a, 4, -21, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruomooiio. What is prob of sequence uim?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.181 - 0.389. Let a = 1.8014 + -3.4032. Let i = a - b. Round i to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 11 (b) 5 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3\/2 (c) 3 (d) -4158 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.95\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2 = 4*u, 4*u = 2174*k - 2177*k - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62\/637 + -1832\/5733. What is the nearest to 15 in -0.1, 22, v, -0.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**8\/20160 - m**7\/2520 + m**6\/360 + m**5\/15 - 6*m**2. Let x(i) be the third derivative of n(i). What is x(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Let f = 20 - 19.92. Which is the second smallest value? (a) i (b) -2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t + 0*t**2 + 5 - 2*t**2 - t**3 - 3*t**2. What are the prime factors of j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/96390 and -26\/48195.\nAnswer: 96390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnno when four letters picked without replacement from givonvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8321\/8 + 1038. Let j(a) = 4*a + 1. Let o be j(1). Calculate the common denominator of 2\/o - 28\/120 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -2 - (38 + -28 + -14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.7 - -15. Let x = -36 + 38.7. Let c = -0.3 - x. Sort a, 5, c.\nAnswer: c, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 + (-9 - ((35 - 23) + (1 - 11) + 2))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112526 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, 1 d, and 1 t when four letters picked without replacement from bdtbstcccbsdb.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 10, -32, -146, -362, -710?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -19*n**2 - 2*n - 64. Let k(c) = -5*c. Give k(i(s)).\nAnswer: 190*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -90*z - 453. Suppose -9110*u + 86 + 159 = -9159*u. Determine c(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/3 + 16*o**2\/3 + 38*o\/3 + 20\/3 = 0. What is o?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-8)*-12*(-2)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8662 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/120 - 7*z**5\/60 + 3*z**4\/8 - 2*z**3\/3 - 2*z**2. Let i be c(7). Round i to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + 1 + (-2 + 8 - (40 + -30 + -8))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (-47)\/12*(-4)\/3. Let h = 2 + -1.5. Which is the closest to -2? (a) h (b) -1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 5 (b) 0.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 122*g**2 - 124*g**2 + 249*g**2 - 3*g as d*g**2 + s*g + m and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/9)\/((-1)\/159) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8895.23202 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -19476.56 != 78\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, -455.\nAnswer: -455, -13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30782 - -70741. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 2*i = 210. Let k = i - -41. Find the second derivative of k*a + 0*a + a - 13*a**3 + 0*a**3 wrt a.\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkvkkvkvkk?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28396302 and 33?\nAnswer: 28396302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(1 + (1 - 4)). Put 0, -1, x, -2 in descending order.\nAnswer: 0, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u**2 - 2356*u - 9425. What is a(-4)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, d: 1, m: 1, b: 3, l: 1}. Give prob of sequence bcm.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + -1)*664\/40. What is the greatest common divisor of 249 and k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*n**2 - 9*n**4 - 34*n**2 + (-158*n**2 + 158*n**2 + 11*n**4)*(7 + 11 + 18) in the form q*n**2 + c*n**4 + k + p*n**3 + t*n and give c.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 5*a**2 + 2*a**2. Let k(n) be the first derivative of -10*n**2 + 1 + 4*n**2 + 3*n**2 + 2*n**2. Calculate k(s(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (24 + -31 - (-3 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 6, 0, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (0 - (0 + -3)). Let n(p) = -p + p + p + z + 2*p. Is n(6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -o. Let a be 17\/o - 5\/20. Sort a, 0, -3.\nAnswer: -3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - 4*c. Let o(q) = -4*q**2 - 5*q. Let h(z) = -4*o(z) + 5*t(z). Let f(n) = 6*n**2. Give h(f(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 232754 to the power of 1\/2, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-52))\/(2*(-3)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 500107859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178 + -174. Suppose -5*u = -3*m - 65, 2*u - m = -0 + 27. Let w be (-628)\/(-16) + 12\/u. Solve -4*c - 2 = 14, w = -b*j - 5*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*d + 10 - 91, -9*d + 302 = -67*u - 25*d + 15*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -100\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*v**2 + 690*v**2 - 378*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*x + 2777 + 2244 = -3295 for x.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4, -2, 121, 45 in increasing order.\nAnswer: -4, -2, 3, 5, 45, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let m(a) = -3064621*a. Calculate m(u(z)).\nAnswer: 3064621*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:41 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14257862 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3 and 200.\nAnswer: 201.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 152*c**2 + 126*c + 1803. Calculate i(75).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 3. Let l be u(12). Suppose 0 = -3*b + l + 3. Put b, 2, -4 in ascending order.\nAnswer: -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - n = -3602, 4*x + 3*n + n = 3608. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331972 divided by -557.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3541 = 4*n, 2*n - 1110 = -2*b + 662. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 5*v - 323. Let w be q(-22). Sort 2, 3, w, -3 in ascending order.\nAnswer: -3, 2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 2:59 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24951*s + 724 + 1683 = 24955*s - 49935*s for s.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = -20. List the prime factors of (3 + z)*6\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*x + 98. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 47. Let z be y(7). Let a(i) = -7 + 3*i**2 + 7*i**z + 7. Let s(w) = -5*w. Calculate a(s(x)).\nAnswer: 250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 - 9 = 0. Sort 0, d, 4 in ascending order.\nAnswer: 0, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020618709 rounded to seven decimal places?\nAnswer: 0.0000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 51, 79, 129, 207, 319, 471?\n\"Answer: a**3 + 2*a**2 - a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 - 716*i**2\/3 + 778*i\/3 + 7180.\nAnswer: -2*(i - 6)*(i + 5)*(i + 359)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(4608) + sqrt(4608) + 2)*-1)**2.\nAnswer: 1536*sqrt(2) + 73744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1118.7*-0.08.\nAnswer: -89.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**2 - 55*l + 63. Let i be w(-12). Put -13, 5, i in descending order.\nAnswer: 5, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -158*j + 273. What is z(0)?\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, -3, -2, 5, 0, -2320 in increasing order.\nAnswer: -2320, -3, -2, 0, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/720 - w**5\/40 + w**4\/24 + 3*w**2. Let z(p) be the second derivative of g(p). Give z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3934?\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssxsxxsxxsxxxxxsxx. Give prob of sequence xxs.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (32 - 30 - (-2 + 1)*1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -16*h + 16. Let s be g(1). Suppose -15*m + 10*m + 280 = s. What is the remainder when 157 is divided by m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*b - 8 = -8*b, 0 = -u - 2*b + 2. Suppose 0 = -u*k + 35 - 13. Calculate the greatest common factor of 88 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -210, -285, -382, -507, -666?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -0.3004, -1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2\/(-12)*(400\/32 + 18).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 59 + 13. Let n(g) = 232*g + 639. Let y be n(6). Is (-1)\/(-6) + y\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1.5, -10, 8.4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -52, -2\/5.\nAnswer: -52, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 723*z - 788 + 13079 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*m**4 + 25*m + 12 + 0*m**3 + 27\/2*m**2.\nAnswer: -(m - 6)*(m + 1)**2*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1304 (base 6) to base 12\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.63064 + -9?\nAnswer: -20.63064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -3232.\nAnswer: 6464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136085239111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -894274, -1788540, -2682806, -3577072, -4471338, -5365604?\n\"Answer: -894266*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.053, 6, 5, -2\/5, 10?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*n - 15, -7 = -18*n + 20*n + 3*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101121 (base 3) in base 9?\nAnswer: -11347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(5*24\/(-320))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*f + 25*f + 105*f)*(-227 - 73*f + 227) as v*f + b*f**2 + a and give b.\nAnswer: -11826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1554549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0 + 1. Suppose 4*n - o - 2*o - 9 = 0, 3*n = -2*o + 11. Let i = n - f. Solve -10 = 2*d + i*c, 21 = d - 6*d - 4*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4144\/(-3626))\/(3\/42) + -69.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234295600 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/18164 and -21\/13?\nAnswer: 236132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**2 + 23*k**2 + 16*k**2 + 2*k**3 - 13*k**4 - k**2 wrt k.\nAnswer: -312*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 4*y**3 + y**4)*((2 + 0 + 0)*(-9 - 7 + 5) + (-4 - 1 + 3)*(0 - 1 - 1) + 3 - 5 + 1).\nAnswer: -19*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71514 by -137.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4, 0.5, -1685?\nAnswer: -1685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 16, -2*j - 6 = 229*u - 225*u. Solve 25 = -138*v + 143*v, -j*m = 5*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.353 + 14.353. Which is the second smallest value? (a) -1 (b) 125.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(105)\/sqrt(5))\/sqrt(7))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -5. Let l = -8 - w. Let y = 4.3 + -4. Which is the nearest to -0.1? (a) y (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4334, -8749, -13188, -17657, -22162, -26709, -31304, -35953?\n\"Answer: -j**3 - 6*j**2 - 4390*j + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132126455*t**3 + 264252905*t**3 - 132126480*t**3.\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22000313 + -211133?\nAnswer: -22212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859048 is divided by 71587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 22. Suppose 3*s = 3*z + 63, -2*z - 82 = -b*s - 2*s. Solve c + 4*i - 11 = -0*i, 0 = 4*c + 4*i - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415476809 is divided by 799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 6*d**2 - 2*d + 7. Suppose -u = -3 - 0. Let h be ((-4)\/10)\/(u\/45). Is k(h) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172 smaller than 2173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 + 0.7. Let q = k + -5.1. Let u = 0 + q. Sort 0.1, 3\/7, u.\nAnswer: u, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilvi when four letters picked without replacement from {q: 1, o: 1, i: 1, p: 4, v: 2, l: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 12:46 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -22. Let l = 0 + 5. What is the closest to -1\/3 in l, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995324323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -23*i. Let b(c) = -10*c. Determine q(b(n)).\nAnswer: 230*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18798, 73077, 163538, 290181, 453006?\nAnswer: 652013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*a + 10, 3*a = -5*w + 2*a - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 517. Determine c(-7).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-9))\/(6\/27). Sort i, -5, 5 in descending order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43050716 divided by -4.\nAnswer: 10762679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46339\/459 + -1715\/17. Suppose 7 = -4*g + r, 3*g - 5*r - 3 = 2*g. Let y be 1 + ((-6)\/g - 1). Which is the second smallest value? (a) 2\/7 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308972 is divided by 6352.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 3)\/(3\/(-8)). Calculate the common denominator of (100\/8)\/(3\/(-1)) and -1 - -2*43\/u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 111 - (106 + -262).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 2*i + 4*i)*(2*i + 6*i - 2*i - 1) to d*i**2 + z*i + a and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 211627907.67 and 4.1.\nAnswer: 211627911.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 1596 + 12168 = 0. Suppose -18*i = -55*i + d. What is the highest common factor of i and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-10)*20\/(-45).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 31. Let y(g) = 2*g + 16. Let z be y(-7). Suppose 7*a + 71 = 4*a + z*h, -3*a - 65 = -5*h. What is the units digit of j(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6707 + 19554. Suppose -3*m + u = 2*g, 5*g - 13752 + 908 = -3*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0356588 nanometers in meters?\nAnswer: 0.0000000000356588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-3*r - 2*r + 10*r) + (-1 + 1 + r)*(-4 + 1 + 1)*(4 - 1 - 4 + (6 - 4 - 6)*(-2 + 3 + 0)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3930*f**3*y**3 - 124*f**3*y - 287037*f**2*y**3 wrt f?\nAnswer: 23580*y**3 - 744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -0.3 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -0.08 in descending order.\nAnswer: 5, -0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -22. What is the second biggest value in 0.2, 1\/7, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 8*b**2 + 6*b - 2. Calculate a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -47. Suppose -4*u + 84 = -l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 386 = -b, b + 10*c = 5*c + 398. Calculate the highest common factor of b and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 157a812?\nAnswer: 157a810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2119640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*m**3 - 1 + 5*m**3 - 20*m**3 as z + r*m**2 + w*m + g*m**3 and give g.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24303013105 + 0?\nAnswer: -24303013105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13228 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13806, -55117, -123968, -220359, -344290, -495761, -674772?\n\"Answer: -13770*a**2 - a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -14. Suppose -y + 4*j = -8, 2*y = -2*y - n*j - 8. Is y at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1653.5 weeks?\nAnswer: 1000036800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 7:17 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.4 + -18. Let r = l - -4. What is the nearest to -0.1 in r, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 25862*m. Let p(c) = 1692*c + 2. What is p(f(k))?\nAnswer: 43758504*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 7. Let x be i(5). List the prime factors of 35\/3 + x\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 + 76*g**3 - 468*g**2 - 11340*g - 10800.\nAnswer: 4*(g - 12)*(g + 1)*(g + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 17*v + 17*v**2 - 1\/3*v**4 + 0*v**3 + 17\/30*v**6 + 1\/20*v**5 + 4. What is the third derivative of y(r) wrt r?\nAnswer: 408*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -81. Let h = 8 - 5. Let d(r) = 2 + r - 4*r**2 + 4*r**3 + 0*r**2 - h*r**3 + r. Give d(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*u**2 + 205*u - 6202?\nAnswer: -10*u + 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -16*x - 137. What is h(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 8*c**2 - 11*c - 6. Let h be (48\/(-56))\/((-44)\/(-14) + -3). Is 34 a factor of t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.299 - 0.072. Let j = -0.039 + w. Let z = j + 0.4422. Round z to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-74)\/(-26) + 24\/156. Suppose 0 = 3*d - 3*n - 255, -g*n + 0*n = 5*d - 441. Suppose d*w = 85*w + 232. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2022221 - -3?\nAnswer: 2022224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -2a1080?\nAnswer: 2a1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -64*y**2 + 105*y + 10452. Determine r(-12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from xqtq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 18*i = -19*i - 8, 11 = -3*w - 2*i. Solve 5*y + 22 = -3*v, 2*v + w = 2*y - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56838938.\nAnswer: 2, 13, 2186113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1201574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -615 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (13 - (30 - (-42 - -13)))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3862716 divided by 66\nAnswer: -58526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 312011 + -5?\nAnswer: 312002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 17. What is r(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2993135?\nAnswer: 5, 101, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -8 + 40. Solve -4*f = -8*f - a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 + -1 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from uynyvouyccun?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90 * -0.1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-31)\/2 - 6\/(-4). List the prime factors of (-231)\/(-49) - 4\/d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/23)\/m)**(2\/9)*((m*m*(m**4\/m)\/m)\/m)\/(m**(-6\/5)*m))**(-1\/24) assuming m is positive.\nAnswer: m**(-517\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1852754, 59, 4 in ascending order.\nAnswer: -1852754, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24b79 - 2?\nAnswer: -24b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0 + 1. Let k = 2016323\/148 - 13624. Let w = 2\/37 - k. Which is the nearest to u? (a) -5 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(1 - -1 - (-11 + 14)). Let l(w) = 2*w - 3. Let m be l(5). Let p = m + -5. Solve -z - i = -p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72367465 is divided by 609?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 17509189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -84?\nAnswer: -13\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 54 = -l + z, z + 242 = 5*l. Suppose -2*q - 8 = -l. Solve h - 6*h + 5*n = -5, -5*n = -q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1334 + 1334.3. Which is the closest to 0.3? (a) 1 (b) 1\/4 (c) -5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 695 and 0.188?\nAnswer: 130.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 1. Let l be s(6). Find the common denominator of -22\/7 and 2 - ((-56)\/l)\/((-6)\/80).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1044, -1407, -1770, -2133, -2496, -2859?\n\"Answer: -363*f - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*j - 10, -3*i + 4*j = -5 - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-1*5)\/(sqrt(132)\/(sqrt(33)\/sqrt(3))))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2 (c) 0 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2297 + -2293. Solve 4*v - 6 = s + 2*s, -2*s - y = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 736 - 151 = 0. Let t = -207 + 220. What is the greatest common divisor of t and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761014811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from {z: 1, y: 1, a: 1, m: 1, j: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259 + -213.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 25*t**2 + 96*t + 6. Let j(a) = -71*a**2 - 272*a - 17. Let y(x) = 6*j(x) + 17*p(x). Let w(g) = 20 - 13 - 2*g**2 + 8 + 10. What is y(w(b))?\nAnswer: -4*b**4 + 100*b**2 - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3))**33 assuming n is positive.\nAnswer: n**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12926724047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.1. Let l be ((-16 - -18)*-1)\/(-36) - (-1 - (-15)\/18). Sort -23, 3, l, z in ascending order.\nAnswer: -23, z, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (sqrt(1573) + -1*sqrt(1573))*1 + sqrt(1573))**2 - (1 + (sqrt(1573) + -1*sqrt(1573))**2 + (-1*sqrt(1573))**2*2).\nAnswer: -1573 - 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1. Let b(u) = u - 7. Let w be b(5). Let z be 1\/(w\/4)*-3. Let r(t) = 2*t - 5. Let c(q) = z*j(q) + r(q). Find the first derivative of c(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5 times 24?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z - 4 - 2 - 7*z - 10*z. Give p(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. What is the third smallest value in r, 5, 4\/3, 2\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 170 + 57 + 57 + 64*y - 695*y.\nAnswer: -631*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11692*i**3 - 23376*i**3 + 11688*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 4 - 3*w**2 + 13*w**2 + 14*w**2)*(10*w + 31*w + w).\nAnswer: 1008*w**3 - 84*w**2 - 168*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (-6 - (-10 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 + 5 + (-81)\/12 and (-6 - 1)*1\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**0)**(3\/14))**7)**(-1\/9))**15 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7362 and 28905666.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*2)\/sqrt(5) + 2 + sqrt(2) + sqrt(8)\/sqrt(4))**2.\nAnswer: 16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -37\/28, -114\/11, -19\/5 in decreasing order.\nAnswer: -37\/28, -19\/5, -5, -114\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -3) + (0 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53096, -106140, -159180, -212216?\nAnswer: -265248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11085)\/(-4434)*148\/30*3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -47*r**2 + 32. Let m(i) = 31*i**2 - 21. Let k(h) = -7*m(h) - 5*w(h). What is the derivative of k(a) wrt a?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496521?\nAnswer: 3, 43, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9*b = 4*b + 10, -4*z = 2*b - 40. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 353*n + 2. Let a be m(1). Suppose 0 = 7*c - 562 - a. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/25, -1\/3, 1, 0.4 in descending order.\nAnswer: 1, 0.4, -4\/25, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -48484.2232 and 4?\nAnswer: 48488.2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**4 + 2*p**3*u**2 - 4*p**2*u**2 + 2*p*u + u**2 - 7*u wrt p.\nAnswer: 24*p**2 + 12*p*u**2 - 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4 - 56*p**3 + 8*p**2 + 224*p = 0.\nAnswer: -28, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*x**3*y**3 + 120*x**2*y**3 wrt x.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171 - -158) + 33 + 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yczyzc. Give prob of sequence zyy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/4170 and -11\/60.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/15*140\/98.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5466 and -29\/20042.\nAnswer: 60126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 701536698 to the power of 1\/2, to the nearest integer?\nAnswer: 26487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35 - 35*v + 38*v - 26 - 4 wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p. Let c(y) = -580*y**2. Give q(c(l)).\nAnswer: 1160*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 - 4*r**2 + 4*r - 2. Let z be t(2). Suppose -f = 5*f - 18. What is the third derivative of -9*b**2 + z*b**3 + 2*b**3 - b**3 + 0*b**f wrt b?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v - 6 + 6 - v + 4*v - v + (1 + 2*v - 1)*(3 + 3 - 4) + 5*v - 3*v - 3*v - 10 - 1 + 10 - 31*v.\nAnswer: -30*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 9*g - 34. Let d be z(-4). Let u be (3 - 2) + (d - 2)\/(-8). Let 2\/7*o**4 - 8\/7*o**u + 8\/7*o - 8\/7 + 6\/7*o**2 = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 15\/(-9) - 0\/(-3). Is q > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -5527.\nAnswer: 5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.01, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 241, -1, 3, -14 in decreasing order.\nAnswer: 241, 3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 3*j**3 - 2*j**3 + 0*j**2 - 2*j**2 - 3 + 0*j**3. Let x be y(3). Let k(p) = 0 + x - p + 0*p. Let d(m) = m. Give -4*d(z) - 5*k(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 4*z - 21*z - z.\nAnswer: -18*z + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 390.87 + -391. What is the closest to -0.1 in 0.5, 1, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-one halves of a millisecond?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2798 = -5*j + 3*m, -2*j = 6*m - 4*m - 1116. Calculate the remainder when j is divided by 143.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y - 2. Suppose -3*j - 15 = -3*x + 2*x, 18 = 4*x + 2*j. Let k(l) = -l + 4. Let q be k(x). What is z(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1\/(4\/8). Suppose -2*j - 3*a = 2*a - 29, 20 = w*a. Let v(q) = -q**2 - 6*q + 2. Let d be v(-6). Solve -d*k - j = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d - 24. Let n(m) = -m - 5. List the prime factors of n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 + 11*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502807886 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30994*t - 3*t**3 - 30994*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 14217816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 10*r**2 + 6*r - 7. Let i be y(6). Suppose -5*a - 325 = 5*k, -3*a = -k - 7*a - 62. Let m = i - k. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**4 + u - 1. Let s(q) = -4*q**5 - 8*q + 8. Let g = -71 + 79. Let y(f) = g*x(f) + s(f). Factor y(d).\nAnswer: -4*d**4*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*b + 180 = 193, 4*c - 4*b + 24 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11220392\/783 + -14330. Is 1 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:10 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33867 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2387*h + 0*h**2 - 2386*h - 3*h**2 - 2*h**3 to the form m*h**2 + d*h + z*h**3 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*a - 9. Suppose a = 4*h - 0*h. Suppose -5*q = 3*l - 71, q = 3*l - h - 64. Calculate the highest common divisor of 88 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g**6 + g**3 + 234*g**2 wrt g.\nAnswer: 1320*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, -1 in increasing order.\nAnswer: -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/5239410 and -19\/26895638.\nAnswer: 403434570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115039 - 114975 = -16*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46319797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + n**3 + 0*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/4 - 2*u**3 + 3*u**2 - 3*u + 4. Let i be n(-7). Suppose -6*q = -2*q + 8. Sort q, i, 2.\nAnswer: q, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534 = -28*i + 814. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 10 = 7*f - 2*g, 0 = 5*f - 4*g + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 4, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5719 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230\/5863 + -1 + 14\/22?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + 2 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39\/4*s**2 - 45\/4 - 87\/4*s + 3\/4*s**3.\nAnswer: 3*(s - 15)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 380*j - 48. Let m(g) = g**3 + 22*g**2 - 22*g + 26. Let w be m(-23). What is the tens digit of s(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -7*a + 4. Suppose 4*x - 13 = -a. Solve b - x*i - 3 = 0, -5 = -2*b + 4*b + 5*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 8) to base 12.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iifiiviiiizissiviss. What is prob of sequence iisf?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -615 or 832?\nAnswer: 832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 57. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4329270, 4329230, 4329190, 4329150, 4329110, 4329070?\nAnswer: 4329030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -6*w - 3*w. Suppose -w*n - 380 - 325 = 0. Let p = n - -205. Is 35 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0.016, -0.4?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*i = 19, -3*i = -3*t - t + 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfbtiiaf. What is prob of picking 1 n and 2 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 13*m**2 - 44*m**2 in the form t*m**2 + o + a*m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*(-16)\/(-13708). Let a = o - -291271\/41124. What is the common denominator of 53\/2 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784.697cm in meters?\nAnswer: 7.84697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (3 - (-2 + 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4\/3 - 84*r**3 - 5072*r**2\/3 - 10320*r + 12096 = 0. Calculate r.\nAnswer: -28, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 5 + 15 + 10*b**3 + 6.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -74, -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -52*j + 54*j. What is the nearest to -18 in 4, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/49, 0.2, 0.5, -57, -5, 5 in descending order.\nAnswer: 5, 0.5, 0.2, 2\/49, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 173*z**2 - 9*z - 5. Let b(u) = 88*u**2 - 4*u - 2. Determine -5*b(y) + 2*p(y).\nAnswer: -94*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 44. Let d(r) = -15. What is 11*d(q) - 4*j(q)?\nAnswer: 4*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0847 + 0.0053. Sort n, 9, 0 in increasing order.\nAnswer: 0, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217216188 a multiple of 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1420 + -1421. Which is the smallest value? (a) k (b) 0.3 (c) 5 (d) -7\/9 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/43 - -66\/215. Which is the closest to 1\/4? (a) -0.2 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-9) - -3*220\/(-170)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40643 greater than 40644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - -56 - (-2 + -10 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.989348 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 72. Let y = d + 21. Solve 5*p + 10 = -2*m - y*p, 5*m - 5*p = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*a - 225 = 0, -5*a - 3 = 2. Let k(z) = x*z + 114*z - 450*z + 111*z + 116*z. Let h(v) = -4*v - 6. Determine -h(d) - 6*k(d).\nAnswer: -2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138130 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5, -784*p + 3 = -780*p - i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10454509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 - 1.06. Let p = -0.8 - r. Let z = p + 0.1. What is the third biggest value in 1\/3, z, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc729 (base 14) to base 6.\nAnswer: 13443201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -78720 * 155\nAnswer: -12201600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-308259)\/(-4725) + 1820\/(-28).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85716.19t in kilograms?\nAnswer: 85716190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + -5 - -4) + 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 15348, 4, -1\/2 in descending order.\nAnswer: 15348, 4, 1\/10, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -20*w**4 - 125660*w**3 - 376725*w**2 + 470980*w - 125600 = 0.\nAnswer: -6280, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -360 * -12.3.\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 + 164*l**2 + 165*l = 0.\nAnswer: -1, 0, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 822*p**4*w**3 + p*w**2 - 18*w**3 wrt p?\nAnswer: 9864*p**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41107978 plus 2130?\nAnswer: -41105848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/4 - 23*q**3\/4 - 2116*q**2 - 60835*q.\nAnswer: q*(q - 115)*(q + 46)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 365 - 160. Suppose 4*t = 2*z + 406, -4*t - z = -2*t - n. Let g = 32 - 11. What is the remainder when t is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**6\/60 - s**5\/10 + s**4\/12 + s**3 - 5*s**2\/2 + 12. Let r(n) be the second derivative of f(n). Factor r(h).\nAnswer: -2*(h - 1)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -533240551, -1066481101, -1599721651, -2132962201?\nAnswer: -2666202751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 4 + -14 + 3. Let u = -5 - k. Let g(x) = -2*x - 1. What is g(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 2*f - 4. Let m(v) = v**2 + v + 1. Let d(r) = -3*m(r) - q(r). Let l(i) = 5*i + 5. Let j be l(-3). Let a = j + 11. Calculate d(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*t = -63*t - 3*a - 1482, -6 = -a. What is the least common multiple of t and 375?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:31 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1708*l**2 + 5*l + 5. What is the tens digit of z(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = b - 240. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b + 36*b = -1052415. What is the ten thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1766854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 6. Suppose 5*o - 345 = -5*q, -294 = -u*o + 2*q - 0*q. Calculate the highest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o\/(o*o*o\/o**0))\/o))**30*(o**(-1\/2))**30)\/((o**(-1\/4)*o)**9*((o\/o**(-1))\/o)**40) assuming o is positive.\nAnswer: o**(113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63316472 to the power of 1\/2, to the nearest integer?\nAnswer: 7957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06647 - 0.0678215. Round c to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1126*u*x**3 - 26479*u - 3*x**4 - 2 wrt x.\nAnswer: -3378*u*x**2 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18637 less than -0.06?\nAnswer: -0.24637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (605 - 577).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1251)\/15 + -2 + 4\/10. Suppose 0 = -31*f + 34*f - 306. Let x = d + f. What is the remainder when 75 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -117*o - 2455. Determine i(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 29\/4972, 0.5, 1\/3?\nAnswer: 29\/4972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 33035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - y)*(1 - y - 1) - 8*y - 8*y**2 + 8*y + (-2 + 5 - 4)*(0 - y**2 + 0) as w + m*y**2 + b*y and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 16*d**2 - 835*d - 198. Let i be x(57). Calculate the highest common divisor of i and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 725794\/7, 0.2, -3 in descending order.\nAnswer: 725794\/7, 3, 2, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a + 58 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109404207 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507067473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -407 + 551. Suppose 3*b = -d - 2*b - x, 2*b = 4*d + 620. Which is smaller: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0*x**3 - 1\/420*x**6 + 0*x - 2\/105*x**5 + 3 - 14*x**2 + 1\/735*x**7 + 1\/21*x**4. Factor m(r).\nAnswer: 2*r*(r - 2)*(r - 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 29*c**2 + 13*c + 25. Let g(j) = -7*j**2 - 3*j - 6. Let v(f) = -26*g(f) - 6*l(f). Differentiate v(i) wrt i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5497? (a) 5 (b) -4 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*v - 5*j = 1202*v - 60, 2*j = -v + 8 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1 - 9 - 5*r + 1 + 1. Does 5 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12721*k**3*u - 34*k**3 - 130*k**2 - 75*k*u - 2*k + 2*u + 1 wrt k.\nAnswer: -76326*u - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -w + 47222, -3*w + 36*i = 32*i - 141641. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-843)\/(6220\/(-365) - -17).\nAnswer: 73, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + 22129. Let y = x + -10664. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/169)\/((-48)\/52)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3303, -3262, -3223, -3186, -3151, -3118, -3087?\nAnswer: -3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 l, and 1 n when four letters picked without replacement from {i: 2, s: 2, y: 1, l: 8, n: 2}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -4419 and -4424 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 17476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + sqrt(125).\nAnswer: 2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/569 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 260 - 175. Let j = a + -78. Let o be 1 + (2\/j)\/(1\/7). Let y(w) = -3. Let m(q) = q + 4. What is o*y(p) + 2*m(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564117591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -8688?\nAnswer: 4344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*y + 940, -5*y + 594 = 3*o - 2*y. Let f = -190 + o. Solve -2*m - f*k = 5, -3*k + 0 = 4*m + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5025*z + 2. Let o(p) = 10048*p - 2. Let w(i) = 6*o(i) + 13*u(i). Is w(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -148, -1\/3, -0.1, -3\/2, -3691?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 6:28 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 21*n**3 - n**2 + 4*n - 4. Calculate the lowest common multiple of z(1) and (-68)\/(-7) - (-6)\/21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/14*(-266)\/57. Which is bigger: 42\/19 or s?\nAnswer: 42\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a century in years?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 15)\/(-37 - (-35998)\/984)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21100221120000 (base 3) in base 12?\nAnswer: 138a160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/5)\/(l*l**(1\/10))*(l\/(l*l**(-2\/7)*l)*l)**(-4\/19))**(-19\/6) assuming l is positive.\nAnswer: l**(-53\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**4\/12 + s**3\/3 - 3*s**2\/2 - s. Let l be k(-3). Let o = 2.3 + -0.3. Which is the nearest to -0.2? (a) l (b) o (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnvnvnnrrnrnnr. Give prob of picking 2 r and 2 v.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*q = -5 + 37, -4*v + 32 = -q. Let x = v + -5. Suppose -r - 3*w + 4 = 3*r, -12 = 3*w. Which is greater: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.16 (b) 2\/15 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13364516 greater than or equal to 13364519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.639841 millimeters?\nAnswer: 0.2639841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 21. Let q(o) = o + 11. Determine 4*h(j) + 7*q(j).\nAnswer: -j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -54336.57 times 4\nAnswer: -217346.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3459 + -3322. Solve -7*j = -q + 179 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267812\/(-4899)*(-3)\/4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 12. Let t be d(13). What is the first derivative of 3*n**4 + 2*n**4 + t + 0 - 9 wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 9:37 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 106\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -18 + 3. Let l be (-4 - -2) + (2 + -2 - -7). Suppose -3*n - 2 - p = -l*a, -5*a = -25. Let d(m) = m - 4. Calculate d(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(132) - (sqrt(132) - -2*sqrt(132))*1)\/sqrt(11))\/(sqrt(864) + sqrt(864) + (2*sqrt(864)*2 - sqrt(864))) + -3)**2.\nAnswer: sqrt(2)\/5 + 5401\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -48. Which is smaller: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-3 - (-4 + 2)). Let q(w) = -2*w - 2. Let p(r) = -3*r - 3. Let u(j) = o*q(j) + 4*p(j). Give u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31905165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -280*x**3 + 7*x**3 + x - x - 192 - 105*x**3 with respect to x.\nAnswer: -1134*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13816835 to the nearest integer?\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/((-348)\/(-396)) - -17)*(-1)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 417606?\nAnswer: 41761b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/120 + c**5\/30 - c**4\/12 + 11*c**2. Let r be i(-3). Put 0.5, r, 15 in decreasing order.\nAnswer: 15, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -35*g + 83*g + 224 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81505 divided by 5?\nAnswer: 16301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmxi when four letters picked without replacement from {b: 1, m: 2, d: 1, x: 2, i: 1, z: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/4*(-496)\/(-372).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -10*d + 1250. Suppose -50 = 3*i - d. Calculate the greatest common factor of i and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*j - 290*g + 293*g, 0 = -4*g + 16. Solve -4*v = -j*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c - 2385 = 4*h, -5*h - 4*c = 2979. Let s be 15\/2*(h\/200 - -3). Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8436 and -8.6.\nAnswer: -9.4436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -20, n + 111 = 2*i + 2*n. Suppose 0*p - 15 = -5*p, -y + i = p. What is the lowest common multiple of 10 and y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 - 3*s - 1. Let k be g(3). Let x be k\/5 + 10\/(-25). Suppose 5*f - 5*m - 50 = 0, -2*m + x*m - 20 = -4*f. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*r**3 - 2*r**4 + 1 - 2*r**2 + 6*r**4 - 68*r**3 - 69*r**3 + 207*r**3 in the form a*r**3 + t*r**2 + o + i*r + b*r**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 130854 = -14*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13058291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 243. Let c = 1022118 + -1021880. What is the remainder when c is divided by b?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1664)\/(-7164) - 504\/2268)*-1?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 112.\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/((48\/(-3))\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -73, -0.06, -0.0552?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5812500 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 3*l**2 + l**3)*(10 + 6 - 1).\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3450874 and 122848673.\nAnswer: 119397799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11.58, 5, 0.4, 0.2, 1\/14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 3*i**4 + 2*i**4 + (-66*i**3 + 218*i**3 + 535*i**3)*(-3*i + 0 + 0).\nAnswer: -2059*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060812 is divided by 945?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -242010000 rounded to the nearest one million?\nAnswer: -242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-2 + 29\/15). Let r = -80958 - -80988. What is the greatest common factor of x and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176747 + -176669.777. What is x rounded to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighty-seven fifths of a tonne?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxk when three letters picked without replacement from mjjmjxxjjmkmj.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g - 7. Let j be h(2). Solve 4 = -j*y + 2*q, 2*y = -q - 8 + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*s - 808*s + 488*s + 169824 = 1898*s for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 8*s**2 + 8*s**2 - 6*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 14*i + 3. Let g(b) = -4*b - 2636. What is j(g(q))?\nAnswer: -56*q - 36901","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*r + 78*r - 12*r)*(4*r + 4 + 0 - 2*r).\nAnswer: 168*r**2 + 336*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12070155 to the nearest integer?\nAnswer: 3474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {m: 2, h: 4, j: 4}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -526127249 - -526127258.99999948. Let f = 968 + -958. Let n = f - v. What is n rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -23*u - 8. Let y(t) = -11*t - 4. Let s(g) = 6*l(g) - 13*y(g). Calculate the remainder when s(6) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 39*z**2 + 2*z - 13. Let j(v) = -8*v - 36. Let c be j(-5). Is p(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4\/9 + 16856*t**3\/9 - 36838472*t**2\/9 + 1858205440*t\/3 - 24305715200 = 0.\nAnswer: 80, 4134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7609951 or -7609949?\nAnswer: -7609949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -364*s**3 + 2*s**2 + 8*s + 8. Let b(q) = 365*q**3 - 2*q**2 - 6*q - 6. Give 5*b(f) + 4*r(f).\nAnswer: 369*f**3 - 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 1277*x**5\/60 + x**4\/8 + x**3\/2 + 3*x**2. Let s = 33 + -34. Is q(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -241*x**5\/20 + x**4\/6 + 16*x**3\/3 + 1902*x. Find the third derivative of k(y) wrt y.\nAnswer: -1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 42. Let k(m) = 2*m**2 - 42. Give -3*d(p) + 4*k(p).\nAnswer: 2*p**2 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -105156*n - 630938. Determine t(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -905188, -1810357, -2715526, -3620695?\n\"Answer: -905169*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 449307 and 1677?\nAnswer: 5840991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 109, 98, 79, 52, 17, -26?\n\"Answer: -4*p**2 + p + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.43 - 7.03. Sort i, 0.5, 0, -74 in decreasing order.\nAnswer: 0.5, i, 0, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -9. Let k be (4\/5)\/(54\/(-15) + 4). Suppose k*r = -2*o - 18 + 50, 3*r = -b*o + 88. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489952816.\nAnswer: 2, 37, 47, 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(39)\/sqrt(3).\nAnswer: -4*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -78 (c) -184 (d) -0.2 (e) 2\/77 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 17*a + 45. Determine j(20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153\/3260 - -1\/326. Let m(r) be the third derivative of 0*r + 1\/12*r**4 + 0*r**3 - r**2 + 0 + o*r**5. Find the second derivative of m(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439826.\nAnswer: 2, 47, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*w**2 + 3*w + 18 - 601*w**2 - 4194*w**2.\nAnswer: -4602*w**2 + 3*w + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 15*l = 16*l - 383, -3*o + 5*l = -353. What is the remainder when o is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1350 divide 653565543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -96*a**2 + 10*a - 64. Let j(x) = 94*x**2 - 9*x + 53. Determine 6*j(u) + 5*z(u).\nAnswer: 84*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -752 + 391. Let g = -176 - v. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 + 0*f**5 - f**5)*(-54 - 157 + 14)*(-12 + 6 - 32).\nAnswer: -14972*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 690205733 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-164)\/(-14) - 68\/(-238). Suppose s*h + 683667 = 2039667. Round h to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, -14, -2, 21885 in descending order.\nAnswer: 21885, -2, -14, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24 from -266175572755.\nAnswer: -266175572731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*k + 3*k + 2*v, -15 = -3*v. Calculate the remainder when (8\/5)\/(19\/95) is divided by 14\/6 - (-4)\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*m + 35 = 8*t, 3*m + 9 = -3*t. Let r be t + 2 + 0\/(-4). Solve -4*o + r*b = -o + 20, 20 = 2*o + 4*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*y + 3216 = -50*y. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -46*a - 9. Let z(l) = 44*l + 7. Give -2*o(j) - 3*z(j).\nAnswer: -40*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88860 or 88882?\nAnswer: 88882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201656?\nAnswer: 2, 7, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 115*z + 881. Let l be w(8). Let i = -19 - -294. Calculate the highest common divisor of i and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 746, -4 in descending order.\nAnswer: 746, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a - 407 + 467. Solve -8 + 0 = 4*j, -3*y = 4*j + a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 2*z**3 + 4*z**3)*(3 + 1 - 6)*(1 - 4 + 5).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -96, -192, -288, -384, -480, -576?\n\"Answer: -96*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9269 + 9269 - 4*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -19*m + 74. Let a be y(5). Let p = 24 + a. Solve u + n - 4 = 2, p*u + 5*n = 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 22*w + 4. Let p be l(-22). Suppose -3*v - p*b = -6 + 10, -5*b = -5*v + 5. Solve h + 2*a - 13 = v, -4*a + 41 = 3*h + 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/7433 - 676383\/74330. What is the common denominator of g and (1\/(-3))\/((-8)\/132)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2097*v**3 - 3639*v**2 + 987*v + 555 = 0.\nAnswer: -185\/699, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1\/(-6)*28*(-16)\/(-1008))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -37. Let y(j) be the third derivative of -43*j**4\/12 + j**2. Is y(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12746)\/638 - (6\/(-32) + (-3528)\/(-12672)). Is -20 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.01, -115, -0.1192?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4556 and -54\/38743?\nAnswer: 10383124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(6\/(-12)*(-128)\/(-800)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -29 + 1 - (-69 - -56).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44*((-1)\/(-1) + 0). Suppose 0 = -z + 4*z - 9. Suppose -c = -s - z*s + 5*u, -s = -u - 11. Solve 0 = -5*q - 4 - s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -3311323403?\nAnswer: 3311323410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10577024999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/454 - 61519\/908. Let v = l + 4073\/60. Is v at most 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {f: 4, z: 4, n: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 134436 (base 13) to base 7\nAnswer: 3652005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 - 26 = 0. Let l be 6\/g*(-12)\/6. Suppose 58 + 36 = 4*z - s, -5*s = -l*z + 62. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, m: 2, w: 1, z: 1, c: 1}. What is prob of picking 1 z and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114.3282 + -97.32914. Let f = s - 17. What is f rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 8:47 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnnc when four letters picked without replacement from {c: 6, n: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/198 and 53\/264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5aa3e9 (base 16) to base 15.\nAnswer: 7c50d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3*(-64)\/576*(-899)\/58?\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224018 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 972716479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -318.6, 16, -1, -3.\nAnswer: -318.6, -3, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2234112 and -41\/6912.\nAnswer: 20107008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/13, 0.1, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46596, -92253, -136016, -176937, -214068, -246461, -273168, -293241?\n\"Answer: 158*t**3 - t**2 - 46760*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 6. Let w be a(-8). Suppose 33*y = 31*y + w. Is ((-14)\/42)\/(y\/(-69)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1*407\/148.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27574, 27572, 27570, 27568?\n\"Answer: -2*r + 27576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 259. Let i = 59 + n. Let p = -92 - i. What is the greatest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**4\/24 - 5*a**3\/6 - a**2. Let y(j) = 3*j + 11. Let q = -56 + 54. Let u be (0 - -2)*q\/(-2). Determine u*y(x) + 5*v(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w - 1. Suppose -6 = 5*f + f. Let i be a(f). Let 3*j**i + 10 + 0*j**4 - 10 = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 5*o**2 - 5*o + 7. Let i be y(-6). Let w be (-120)\/64 - (-1 - i). Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 - -2) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -26. Suppose 0 = -4*s - 1 - 3. Which is the closest to s? (a) 0.4 (b) -1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4863, 9687, 14405, 18963, 23307, 27383, 31137?\nAnswer: 34515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 2*d. Is 8 a factor of -5*(d - (-69)\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4 + 4. Is (-9)\/(-12)*(j - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 7 - z + z + 2*z**2 to the form v*z**2 + t*z + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3)*q)\/(q**(-7\/3)*q)*(q**(-2))**27 assuming q is positive.\nAnswer: q**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (17 - (-21 - (-17 + -23)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -804 < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 2 + 4)*(4*l - 3*l + l + (1 - 1 - 1)*(-3*l - l + 2*l) - 3 + 3 + 3*l) - 3*l + 0*l + 4*l)*(-10 + 10 + 5*l) as k + i*l + j*l**2 and give j.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 145. Determine f(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*i - 16. Suppose d - 231 = -i*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l. Let a be f(-2). Suppose c = a*c - 972. List the prime factors of (-1)\/((-2)\/(0 + c)*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*p - 18648 = 909*p + 138*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/154 and 38\/37?\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 9*m**2 - 6*m + 3. Is v(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25618*s - 12808*s - 2*s**2 - 12810*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8044842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 2*y**2 + 262*y + 1071. Let q be h(-4). Suppose -2*n + 4*n - 4*p - 282 = 0, -5*p - 710 = -5*n. Calculate the highest common factor of q and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**5\/20 - 4*i**4\/3 + 6*i - 25. Let x(c) be the first derivative of g(c). What is the third derivative of x(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 20 = -4*x. Let o(l) = -6*l + 14. Let d(m) = 2*m - 5. Let i(r) = x*d(r) - 5*o(r). Let n(f) = 215*f**2 - 432*f**2 + 214*f**2. Calculate n(i(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1955 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271403479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -51*x - 50. Let k be i(-5). Which is greater: k or 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 50. Suppose 0 = m + h - 13, 4*h = -m + 2*h + o. What is the remainder when 29 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*2\/(-8)*(-1020)\/9.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 7. Let b be i(9). Let x be (-357)\/(-39) - b\/13. Suppose x = 5*c - 16. Solve -m = -2*m - 4, -3*k - c*m - 29 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-21)*2*6\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**12\/(g**(-3\/16)*g*g) assuming g is positive.\nAnswer: g**(163\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, m: 1, k: 4, d: 1}. Give prob of picking 1 m and 2 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 21*j**3 + 1 - 44*j**2 + 30*j**3 + 9*j**3 in the form w*j**2 + v*j**3 + t + b*j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 374.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 28*s**2 - 23*s - 5. Suppose -x - 3*q + 44 = 0, 5*q = -x + q + 49. What are the prime factors of h(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - 1\/((-3)\/3). Suppose b = 3*o - 0*o. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(17\/3)\/(l*l**(-1\/2)*l*l)**(-38))\/((l**1)**39\/(((l**(-1\/6)\/l)\/l*l)\/l*l*l**(-1))) assuming l is positive.\nAnswer: l**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66 - (-22 + -5)) + 81 - -38?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7176 by 104.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47111312 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2011, -4192, -6373, -8554, -10735, -12916?\nAnswer: -15097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/60 + (-36)\/10. Let y(s) = 3*s + 16. Let v be y(m). Solve v + 1 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1021*a + 453222 - 226608 - 226614.\nAnswer: 1021*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -99*l**3 - 2*l**2 - 2*l - 1. Let x be a(-1). Let b = 177 - x. Round b to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n*o*u**2 - 153378*n*o + 589945*n + 11*o*u**3 - 11*u**3 wrt o.\nAnswer: -n*u**2 - 153378*n + 11*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -661770, -662621, -663472, -664323, -665174?\n\"Answer: -851*g - 660919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2254 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-1))\/(-32)*1\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 740 = -5*w, -5*d - w + 1730 + 51 = 0. What is the remainder when d is divided by 149?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25410 (base 13) in base 6?\nAnswer: 1250300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 8 = -2*q + 5*q, 0 = 5*q + 3*t - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1535*p = -832*p - 2812 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -9, -4, -6 in ascending order.\nAnswer: -47, -9, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 26*t + 141. Let w be c(17). Solve -w*m - 23 = b, 0*b + 4*b + 20 = -2*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -52*f**2 + 7*f - 30. Let l(o) = o**2 - o. Let p(i) = -h(i) - 3*l(i). Is p(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 111\/683, -0.119, -1 in decreasing order.\nAnswer: 111\/683, -0.119, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 3*m**2 + 2*m**2 - 711*m**3.\nAnswer: -711*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(((q**(-1\/3)\/q)\/q)\/q))**(-12\/17))**25 assuming q is positive.\nAnswer: q**(-1600\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 6:40 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 80 = -7*t, -5*t = -332*f + 339*f + 38 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/5 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131 - 2016?\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2597901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274827 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8822, -12037, -15252, -18467, -21682?\n\"Answer: -3215*f - 5607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*k**(-1\/22)\/k)*k\/(k\/(k\/(k\/k**2)))*k assuming k is positive.\nAnswer: k**(111\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 1. Let k(m) = m**2 + 4*m + 6. Let w(g) = 3*k(g) - 12*z(g). Differentiate w(f) with respect to f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocyc when four letters picked without replacement from mmooocmylmmqc?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 8*f**2 + 4*f - 11. Let t be s(-6). Let c = 110 + t. Suppose c*u - 438 = -3*o - 0*o, 3*u = -o + 144. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/3 + 23029*a - 69088\/3 = 0. What is a?\nAnswer: -69088, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, 360, 2168, 6248, 13494, 24800?\n\"Answer: 149*h**3 - 205*h**2 + 2*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 11*s**2 + 21*s + 7. Calculate t(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262 or 41309?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -141 (b) 22 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1088 + 1088 - 3*x)*(2 - 4 + 0).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 3) in base 15?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -21\/4, 50\/4557?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 1. What is the units digit of d\/10 + (-132)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*g + 71*g = -45. Calculate the remainder when 44 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 6888?\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 16) + (18 - 14) + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2000, -3959, -5890, -7781, -9620?\nAnswer: -11395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*v - 26 = -2*f, 0 = 2*f - 3*v - 19. What is the closest to 0.2 in -1\/5, -2, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 (base 12) in base 13?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 192 - 13*q**2 - 14*q**2 + 21*q**2 + 7*q**2 in the form m + w*q**2 + u*q and give m.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*w + 2, 6*t - 5*t - 5 = -2*w. Let h = -112 - -111. Which is the nearest to h? (a) -4\/5 (b) -5\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 905.722 decades?\nAnswer: 9.05722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m + 100. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6921838\/770)\/((-1)\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r - 7. Let l be k(0). Let u(y) = y**2 + 2*y + 10. What is the remainder when u(l) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - h - 2 = -2*r, -5*r + 12 = -3*h. Suppose 10 = v + 5*u - 3, 3*v = r*u - 15. Let o(j) = -12*j**3 + 2*j - 1. Is o(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i. Let w(z) = 834*z**2 + 27*z + 81. Let r(a) = a**2 + a + 3. Let f(b) = -27*r(b) + w(b). Give v(f(h)).\nAnswer: 4035*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359\/150 + 14\/25. What is the common denominator of z and -49\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -0.01 (c) -1.6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14052279 rounded to 3 dps?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 181 = -25. Let g(p) = -28 - 15 + c + 9*p. Calculate the remainder when g(19) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r - 20. Let s(p) = 12*p**2. Give f(s(q)).\nAnswer: 96*q**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 1. Let j(k) = -5*k**2 - 3*k + 10. Let z(m) = -j(m) + 2*v(m). List the prime factors of z(-6).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(2700)\/sqrt(9))**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 18 = -0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**4 + 1\/20*h**5 + 0*h**3 - 9*h - 1 + 2\/3*h**6 - 2*h**2. Find the first derivative of q(z) wrt z.\nAnswer: 80*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:52 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**2 - z + 4. Let t(c) = 2*c - 2. Suppose -5*u - 2*v + 15 = -5*v, -4*v = 0. Calculate u*l(p) - 2*t(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4163 divided by -12212?\nAnswer: -4163\/12212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 130320649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -866038?\nAnswer: 86603.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -198777 - 22?\nAnswer: -198799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 4)*(-t - 2*t + 4*t)*(-17*t - 4 - 2 - t**2 + 7).\nAnswer: -8*t**3 - 136*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 + (-46)\/(-8). What is the third derivative of -m**2 - 5*m**2 + 2*m**2 + m**2 - 6*m**u wrt m?\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - o**2 - 6*o. Let z(m) = -m**3 + m**2 + 4*m. Suppose -53*t = -49*t + 20. What is t*g(q) - 7*z(q)?\nAnswer: -3*q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 - (11 + -20)) - 4) + (1 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-1)\/5*225\/5310.\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 1, -1497, -1.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 6) to base 13\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 40*r - 168. Suppose -5*y = -0*z + 4*z - 70, -z = 4*y - 23. What is the units digit of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1318*a**4\/5 + 1334*a**3 + 16734*a**2\/5 + 8186*a\/5 - 112 = 0. Calculate a.\nAnswer: -1, 40\/659, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21104355365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 527 + -530. Let f(v) = 2*v. Let o be f(-2). Let l = -11\/2 - o. What is the nearest to 1\/4 in -5, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -138 (c) -0.83 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1008*d**3 + 3*d**2 + 46*d - 48. What are the prime factors of n(1)?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjoj when four letters picked without replacement from {o: 11, j: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (sqrt(78) - -2*sqrt(78))*-5 + sqrt(78) + sqrt(78))\/(1*sqrt(147)))\/((1*sqrt(640))\/(sqrt(5) + sqrt(5) + (4*sqrt(20) - sqrt(5)))).\nAnswer: -27*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 - 103. Suppose -280 = -4*a + 4*p, -9*p = 5*a - 4*p - 310. Calculate the greatest common divisor of a and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmbbmmmmgqmmmmgmmbqm. What is prob of sequence bbmb?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + q - 31*q**2 - 30*q**2.\nAnswer: -61*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 2*x - 2\/3*x**4 + 4\/3*x**3 - x**2 + 9 - 1\/20*x**5. Determine f(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69326896?\nAnswer: 2, 19, 228049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2695 = -8*a - 359. Is a a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 12) to base 11\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*b + 4*b. Suppose -o = -b*q + 4*q + 12, 2*o = 2*q - 8. Let y(k) = -7*k - 3. Give y(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + -50 + 5 + (-14 - -9) + 10\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29714891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 k when four letters picked without replacement from fmmks?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**8\/2520 - a**7\/2520 + a**6\/1080 + 2*a**3\/3 + 3. Let v(d) be the third derivative of u(d). Find b, given that v(b) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 2. Let h(x) = -4*x + 4. Let j(c) = 3*f(c) + h(c). Let t(p) = 4 + 0 + 2*p - 5 + 1. Calculate t(j(g)).\nAnswer: -2*g + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9927554l in millilitres?\nAnswer: 992.7554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + 0.1. Let p(r) = -14*r + 1. Let s be p(-7). Let c = s - 95. Sort n, c, -2 in ascending order.\nAnswer: n, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:54 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m + 64*m + 637 = 1707 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 15*k - 23. Let w be (0 + 2)*(-52)\/(-8)*-1. Let v be d(w). What is the derivative of -10 + 21*p**3 + 24*p**3 - 21*p**v - 2*p**3 wrt p?\nAnswer: 66*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13160 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 348*b**2 - 246. Let i(z) = 117*z**2 - 82. Let s(n) = 5*g(n) - 14*i(n). What is the first derivative of s(w) wrt w?\nAnswer: 204*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 5. Suppose 0 = -5*z + 25, -2*p + 0*z + 43 = -z. Let o be ((-3)\/(-2))\/(9\/p). What are the prime factors of l(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -1\/120*i**6 + 1\/20*i**5 - 1\/3*i**3 + 0 + 0*i - 24*i**2 - 1\/210*i**7 + 1\/24*i**4. Factor d(u).\nAnswer: -(u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30709 and 105288.\nAnswer: 737016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039508536 to seven decimal places.\nAnswer: 0.0000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59147004 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -19. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -46, 265394.\nAnswer: -46, 2, 265394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29722 + 24228 = 13*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnnq when four letters picked without replacement from {q: 3, n: 5, z: 3, h: 2, d: 5}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 10. Let y be (-1 - v)\/((-10)\/25). What is the greatest common factor of 60 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/644 - (-56)\/115\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, q: 2, z: 1, c: 1, a: 1, n: 2}. What is prob of picking 1 n, 1 c, and 1 z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u = -15. Suppose u*k = 5*o - 20, -4*k = 11 + 5. Sort -5, 3, o.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.3. Let d = 1595 + -1596. Which is the closest to -3? (a) q (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1464*a - 278. What is the hundreds digit of t(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -3a5?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssstttttst. Give prob of sequence stt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/2528 and -71\/96.\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 312338 divided by 2?\nAnswer: 156169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 9:51 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.410533, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 26. Let f be p(13). Suppose f*d - 2*d = -146. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 2\/53 (c) -296 (d) -9 (e) -57 (f) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + r**5 + 3*r**4 + (-r**2 + 0*r**2 + 0*r**2)*(-30*r**3 + 11*r**3 + 210*r**3) + 0*r**5 - 2*r**5 - r**5.\nAnswer: -193*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 16518*c**2 - 19*c - 2. Let s be q(-14). Let o = s - 9985285. Let u = -3547493 - o. What is u rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/15)\/((-6)\/(-15)). Suppose 3*d = a*d. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12069910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 8 - 6 - (-4 - -18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4\/3)*h**21)\/(h*h*(h\/(h\/(h\/(h\/h**(8\/7)))))\/h)**(-35))**(22\/5) assuming h is positive.\nAnswer: h**(6314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(234\/(-9)))\/((-3)\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -1.3. Let h = 12707 - 12668. Which is the nearest to k? (a) 0 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2335000 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 89627*p**2 - 4. Let g(i) = -i**2. Give d(g(b)).\nAnswer: 89627*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 8457*k + 25344.\nAnswer: 3*(k + 3)*(k + 2816)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 284, 904, 2114, 4112, 7096, 11264?\nAnswer: 16814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*g**3*j - 2*g**3 - 2*g**2*j - 54*g wrt g.\nAnswer: 312*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3432?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((6 - 2) + -3) - (-1302)\/327?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 5*x - 3. Let i be u(5). Let p = i + 5. Suppose 0 = n + p*n - 36. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -42, 5, -11, 2 in decreasing order.\nAnswer: 30, 5, 2, -11, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-170))\/(36\/84*56\/360)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3\/3 - 63364*m**2\/3 + 252419708*m\/3 - 11724170492\/3 = 0.\nAnswer: 47, 7897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 3, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10670.37289273 - -0.12.\nAnswer: 10670.49289273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4, -3*m + 9 + 40 = 5*f. Factor -6 - 60*j + 31*j**2 - 10*j**2 + 37*j**2 + m*j**3 - 10.\nAnswer: 2*(j - 1)*(j + 4)*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + v + 5*v**2)*(85*v + 48586 - 48586) to r*v**2 + j*v + k*v**3 + l and give k.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(3 - 3 + 2)*(-4 - j + 4) + (-2*j - j + 0*j)*(2 - 5 + 4) + 2*j - 3*j + 2*j in the form y*j + t and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/8*(-42)\/105. Let k be (-1)\/(-4*(-4)\/16). Let m be -6*(k - 20\/(-12)). Put m, -2, l in decreasing order.\nAnswer: l, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -29*d**3 + 4*d - 2. Let v(t) = 57*t**3 - 7*t + 3. Let a(p) = -5*j(p) - 3*v(p). Suppose -1 = n - k - 5, 3*n + 8 = -k. What is the units digit of a(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -283609.84 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/42717 - -4869803\/555321. Factor -2\/13*k**2 + 0 - h*k.\nAnswer: -2*k*(k + 57)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -659*h - 51. Let o(i) = -330*i - 26. Let f(q) = -7*o(q) + 3*r(q). List the prime factors of f(2).\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*m + 8, -i - i + 6 = -2*m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158077775.\nAnswer: 5, 6323111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + s + 7 = 0, s + 10 = u + 6*s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42608319 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -138, -349, -624, -951, -1318, -1713?\n\"Answer: 2*k**3 - 50*k**2 + k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 1 c when three letters picked without replacement from {c: 1, m: 1, p: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -227c4 (base 15) in base 2?\nAnswer: -11010110010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-153)\/408*(-28)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -62*z + 870. Let t be g(14). Let l = 0.11 + 0.09. Which is the closest to -1\/4? (a) l (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/120 + 13 - 5\/(120\/(-9))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/2)*f)**(-8\/5)\/(((f\/(f**0\/f))\/f)\/(f\/(f\/(f\/f**6)*f))))\/((f*f*f*f**6*f*f*f*f)\/(f\/f**2)*f**(-3\/7)\/(((f\/f**(4\/9))\/f)\/f)) assuming f is positive.\nAnswer: f**(-7691\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - r - 17, -i = -26*r - 4845 + 4823 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 8*d**2 - 3*d - 4. Let v = 7 + -1. Suppose -v = -2*h - 22. Let k be z(h). Solve a + k = 6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i**5 + 0*i**4 + 3*i**2 - 1\/840*i**7 + 0*i + 0 + 0*i**3 - 1\/480*i**6. Factor k(x).\nAnswer: -x**3*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33d + -23?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 36 = 36*c - 1089. Solve 4*v - c = 5*m, -3*v + 14 - 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 441\/5 + -3187\/35. Is -4 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*d**2 - 13 - 32*d**2 - 15 to u*d + k*d**2 + v and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4913 - -6188. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + r - r)*(5*r - 3*r + 0*r) - r + r - 2*r**2 + (4 - 4 + 2*r)*(1 + 4 - 6)*(-r - 2*r + r) as i + h*r + x*r**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**4\/3 + 400*f**3\/3 + 515*f**2 + 1910*f\/3 + 760\/3 = 0.\nAnswer: -76, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428058 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/8 (b) -1\/2 (c) 2\/33 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 3*c**2 - c**2 + (-c + 0*c - c)*(-25*c + 14*c - 20*c) + 2*c**2 + 0*c**2 + 0*c**2.\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 1. Let q be g(-1). Let i(k) be the third derivative of 5*k**4\/24 - k**3\/3 + 98*k**2 - 1. Calculate i(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 720 - 90 = 0. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 3*u**2 + u - 1. Let k = -1 + 6. Let x be 1\/(45\/21 + -2). Suppose k = 4*n - x. What is s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*i - 97*i + 216. Solve x - 25*x = i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200608 divided by -2.\nAnswer: -600304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 6*j = 108. Suppose -2 = 2*a + 5*h, -6*a + 4*a - h = -6. Solve -a*f = 2*v - f - j, v - 5*f + 28 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4498 = 118*r - 116*r, -3*r + 6766 = 5*l. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 208, -280, -1598, -4160, -8380, -14672, -23450?\n\"Answer: -69*d**3 - d**2 - 2*d + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6*y**2 - 3*y**2 + 6.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2012, 4022, 6032, 8042, 10052?\n\"Answer: 2010*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 369539\/69140 + 18\/3457. What is the common denominator of (-13)\/(-4)*2\/14 and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = -3*w. Let z(c) = -2*c**2 + 2*c**w - c**2. Let a(q) = 3 - 2*q - 7 + 4. What is z(a(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2.5, 1, 5, 38, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 124\/(-186)*-3*2\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221000111 (base 3) in base 5?\nAnswer: 2203141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414425, 828887, 1243341, 1657787?\nAnswer: 2072225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 0.5 (b) 1\/4 (c) 1.17 (d) -0.457\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110010110000001000001 + 1111?\nAnswer: 1010110010110000001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - 2 - -3 - (9 + -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 551219, 2201106, 4950917, 8800652, 13750311, 19799894, 26949401?\nAnswer: 35198832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 900 divide 65233800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -e1 (base 15) to base 13\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14616226*j - 12389422?\nAnswer: -14616226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, 15 in increasing order.\nAnswer: -4, -2, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 38*h + 765. What is v(-2)?\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -8*r - 84. Let x = -8 - -2. Let n = x - r. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-1*sqrt(396))\/((2*sqrt(96) - sqrt(96))\/sqrt(8)))\/(-4*sqrt(44)\/(sqrt(36)\/sqrt(9))*-3))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4621634, 1 in increasing order.\nAnswer: -4621634, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 161 (b) -0.3 (c) 3 (d) -4 (e) -5 (f) -9 (g) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, -32, -4, 4.\nAnswer: -163, -32, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzzyhhzfyffzfyzy. Give prob of sequence fzf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 2.997 (c) 0.5 (d) -3\/7 (e) -3\/4 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 18*l + 38 - 11*l as v*l + z and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5693 and -0.5.\nAnswer: -2846.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -14*g + 84. Give r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/5 + 2048*i**4 - 6334386*i**3\/5 - 19064588*i**2\/5 - 19085063*i\/5 - 1273020 = 0. Calculate i.\nAnswer: -10825, -1, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**4 - 2*s**3 + s**2 + 4*s - 2. Let o(d) = -d**2 + d - 1. Let v(r) = r**2 + r - 6. Let w be v(3). Let u(g) = w*o(g) - 3*m(g). Factor u(n).\nAnswer: 3*n*(n - 1)*(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 - 7*v**2 - 73*v - 65 = 0.\nAnswer: -5, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5451723 and 1374232?\nAnswer: 828661896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-1176)*-8*28.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*z = -117*z + 53900. List the prime factors of z.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -4, 4 in increasing order.\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s - 37 - 25 + 54)*(3*s + 17*s - 12*s) in the form r*s**2 + l + g*s and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2412426 divided by -1206213.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 228604802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 30*h + 60. Give i(30).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1592 is divided by 476?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - -1. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 11. Let s = -140.6 + 138.6. Which is the closest to -10? (a) y (b) 3\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 3*p**2 + 2*p**2 + 43*p**3 + 0 + 2*p**2 wrt p?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j = -2*v + 32, -4*v = 3*j - 42. Suppose 2*a + a - v = 0. Suppose -2*u - 8 = 0, -a*d + 4*u = d - 51. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44790 divided by 5\nAnswer: 8958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, and 1 g when three letters picked without replacement from {g: 1, y: 3, h: 2, w: 3, m: 3, a: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/4 + j**2\/8 + 27*j\/8 - 9\/2 = 0. What is j?\nAnswer: -4, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 - 2*g + 1. Let f be n(-2). Suppose 2*m - 5*q = 35, -q = 2*m - 6*m + f. Suppose 0 = -m*x + x - 15600. Round x to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/(l\/(l*l**(-3\/16)\/l*l))*l)\/l)\/l))\/((((l*(l\/l**(-13\/3))\/l)\/l*l)\/l)\/l) assuming l is positive.\nAnswer: l**(-103\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 4 = -11*a. Let z(h) = -2*h**3 - 35*h + 14*h + h**3 - a + 2*h**3 - 6*h**2. List the prime factors of z(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-2961))\/((-64)\/448))\/((-2)\/(-6))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 18 - 40)*(-c**2 + 15 - 388*c + 385*c - 4).\nAnswer: 14*c**2 + 42*c - 154","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1488 or 8929\/6?\nAnswer: 8929\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + o - 65 = 0, -4*k + 20 = -o + 108. Let i = k - -39. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Let u(h) = 515081556*h. Calculate c(u(l)).\nAnswer: -1030163112*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.11 or 8.9?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q - 130 + 986. Let z = -32 + q. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 32, 1, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 23, 33, 43?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 156, 3\/2, -450.81, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104.2 - 126. Let c = -56 + 78. Let n = h + c. Sort 1\/3, n, -2 in descending order.\nAnswer: 1\/3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)*u\/(u*u**(15\/7)) assuming u is positive.\nAnswer: u**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 28.3. Let o = h + -3.7. What is the second biggest value in o, -1\/2, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 18 + 56 - 19)*(-n - 2*n + 5*n).\nAnswer: 164*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -a - 10278, -6*z + 4*z + 6852 = -a. List the prime factors of -8 - (-31)\/4 - z\/(-8).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9023000 rounded to the nearest one hundred thousand?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*g + 6. Suppose -5*p - 164 = 4*c, -2*c + p - 82 = -p. Let j = c + 43. Sort g, j, -2 in ascending order.\nAnswer: g, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645428 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 8 - 59 + 79 - 144.\nAnswer: 10*y - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1789, 3976, 6165, 8356, 10549, 12744?\n\"Answer: n**2 + 2184*n - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(12\/5)*k*k*k))**(-1\/2)*(k**(-1\/2))**(4\/9) assuming k is positive.\nAnswer: k**(134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34097 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2 - -5 - 15) + 5 + 0)\/7. What is the closest to -4 in -2, -147, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 13 = 3*h, 0*h - 4 = -h + b. Let m(o) be the third derivative of o**5\/15 + o**4\/24 + o**3\/6 - o**2. What is m(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37447 + -0.450253.\nAnswer: -37447.450253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178020582.\nAnswer: 2, 3, 59, 502883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*c = -18. Solve 2*r = c + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 + -3.7. What is the closest to -1 in w, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6*(-6)\/10. Let j be (2\/(-36))\/(2\/8). Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1\/((-2)\/2). Let n be (-12)\/(-2) - d\/(-2). Suppose -3*s - 5*p = -13, 0 = n*s - p - 0*p - 31. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587884207?\nAnswer: 1051, 559357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15371281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1144 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11202 - -12?\nAnswer: 11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13785 or -13798?\nAnswer: -13798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5*p\/(p\/p**(-2\/15)))\/((p*(p\/(((p\/((((p*p**4)\/p)\/p)\/p))\/p*p*p*p)\/p))\/p*p*p)\/p*p*p\/((p*p\/(p*p**(1\/5))*p)\/p*p*p)))**24 assuming p is positive.\nAnswer: p**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 29383927 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.1, -54, 2, -1, 140?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*t + 58, -6*t + 41 = -2*v - t. Let j = v - -10. Let i(x) = x**2 + 10*x + 8. Let o be i(-9). Put 3, o, j in ascending order.\nAnswer: j, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.89 + 2.11. Let o be ((-2)\/4)\/((-3)\/(-18)). Put o, 1\/4, b, 21 in decreasing order.\nAnswer: 21, b, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 181 + 1\/2*h**2 + 0*h. Let k(v) = -61*v. Calculate g(k(c)).\nAnswer: -61*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 1. Let v be q(1). Let a(k) = 21 + 2*k**2 - 41*k + 55*k - k**2. Let r be a(-12). Sort r, -5, v in descending order.\nAnswer: v, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a centimeter?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -247 + 122?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.1 + 19. Let f = o + 7.9. Let r = 7.7999482 - f. Round r to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/32039 and 155\/49349214.\nAnswer: 345444498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 30. Let p(x) = x**3 - 6*x**2 + 2*x - 9. Let s be p(6). Suppose o + b + 2 = 3*d, 0 = -d + s*o. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 38191*t**3 + 1055. Let d(f) = 217*f**3 + 6. What is 1055*d(l) - 6*o(l)?\nAnswer: -211*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -637 - -433. Let g = -204.01705 - r. What is g rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/60 + j**4\/4 - j**3\/2 + 100*j**2 + 1. Suppose -5*m + 24 = -6. Suppose -m - 12 = 3*p. Calculate g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -77, -139, -219, -317, -433?\n\"Answer: -9*m**2 - 17*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.52 - 36.12. What is the smallest value in 10, 5\/3, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 40, -83, -330, -743, -1364?\nAnswer: -2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 111 = -303. Let t = g + 7. Suppose 0 = -3*x + 6*x - 2*w - t, 5*x + 2*w = 57. What is the remainder when 14 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-79)\/395*90\/12\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6245311.1 to the nearest one thousand.\nAnswer: -6245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*j - 5*i - 0*i, 0 = j + 2*i - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-1) - (-1 + 4). Suppose -781 = -4*r - 3*b, -3*b + 10 = v. Let h(x) = -r*x + 79*x + 92*x. Let n(d) = -2*d. Give h(n(z)).\nAnswer: 56*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 23*r + 220. Let m be c(29). Let g = -19 - -42. What is the greatest common divisor of m and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2\/7 + 646*k\/7 + 92 = 0?\nAnswer: -322, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 95? (a) -1\/11 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**8\/1848 + h**7\/1155 - 3*h**6\/220 + h**5\/30 - h**4\/33 - 194*h**2. Solve x(n) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653088 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5 + 5*r + 26*r**2 + 0 + 7*r**3 - 21*r**2. Let l(t) be the second derivative of -t**5\/20 - t**4\/12 - t**3\/6 + t**2\/2 - 4*t. Calculate -f(o) - 5*l(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8\/9 (b) 48 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1453358*i**2 - 14*i + 227860258.\nAnswer: -2906716*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -125, -195, -277, -377, -501, -655, -845?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*o**3 + 10*o**2 + 135*o + 2 wrt o.\nAnswer: 72*o + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:21 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 5*m + 12, 102*k - 4*m + 6 = 100*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1252 and 1839117262.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (3 - (1 - -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*g**2 + 138*g**2 - 471*g**2 + 166*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/19 - 20094984*p\/19 - 241139520\/19.\nAnswer: -2*(p + 12)*(p + 10047480)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -35*s - 30. Suppose -49*j + 47*j = 10. Let q be c(j). Let x = q + 33. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -2\/21, -2, -0.24?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 3)*(-w + w - 2*w**2) - 555 - 515 - 189664*w**2 + 1587 - 31304*w**2 - 517 to c*w**2 + i + h*w and give c.\nAnswer: -220966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttab when four letters picked without replacement from bbtbebabbebaatbb?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 19*a**2 - 2*a + 43. Let q be j(19). Suppose -13*u = q*u - 54. Solve -4*t - 2*c - 10 = 0, 3*t + c - u = -4*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2700725 greater than -2700722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1609 + 3.8391. What is the nearest to -1\/7 in -33, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136*0.5\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -33. Solve 0 = -d*t - 26 + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 7702.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-432)\/360)\/(((-8)\/(-2447590))\/2))\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from yqjyzyzjyj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68 + -472?\nAnswer: -4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/15 and 28\/85945.\nAnswer: 257835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3876, -8291, -12706, -17121, -21536?\nAnswer: -25951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 586, 1, -41 in decreasing order.\nAnswer: 586, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27614, -2, -435, -20 in descending order.\nAnswer: 27614, -2, -20, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:17 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {c: 4, y: 3, l: 1, b: 7, a: 1, f: 4}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -336394814, -336394812, -336394810, -336394808, -336394806, -336394804?\n\"Answer: 2*c - 336394816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/12 - 7975*g. Let z(t) = 3*t. Let u(w) = -w. Let r(x) = 4*u(x) + 2*z(x). What is f(r(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 135233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2 + (0 - -34). Let k = w + -16. Calculate the lowest common multiple of k and 284\/14 - (-2)\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 55*t**2 - t - 9. Let u be r(-3). Suppose -3*s = 438 - u. Solve 0 = 5*k - 42 + s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 6*i + 5*i)*(0 - 1 + 3) - 2*i - 2*i + i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exqlfof. Give prob of sequence qoxq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1 + 4\/(-1)). Suppose 6*v - 58 - 170 = a. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388751, 388077, 387405, 386735, 386067?\nAnswer: 385401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 254323\/166704 - 245\/151. What is the common denominator of a and -85\/2024?\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 117*m - 117*m + m**2. Let z(b) be the second derivative of -b**3\/2 - 2*b. What is z(r(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558112 to the power of 1\/2, to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 13*j + 170. Determine y(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - 9 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 10*v**2 - 3*v + 10. What is the remainder when z(-10) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y**2 - y. Let s be k(1). Suppose -5*u + 12 = 3*d, 3*u - 2*d + 0*d - s = 0. Solve 17 = u*w + 4*i - 2*i, 30 = 5*w + 5*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -16 - (-51 + 31 - (-8 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 89. Let r = 50 + f. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 2 - 2)*(-3 - 1 + 9) - 4*o - 42*o - 88*o to the form y + s*o and give s.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 1.09\nAnswer: -6.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*x = 25, 5*d - 2*x - 11 = 33. Solve 0 = -3*r + 5*s + d, -3*r = r - 2*s - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675b8 (base 12) in base 2?\nAnswer: 100001100010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 + -103. Suppose d*c = 13 - 5. Solve -5*n + 4 = 4*o - 7, 9 = -n + c*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 539*q**2 - 172*q + 26090. What is d(-269)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.03, 1, 0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u - 2. Let c(f) = -10*f - 78. Let s be c(-8). Calculate w(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 3155 + 1973 + 44 + 4314 to g + s*j and give g.\nAnswer: 9486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201590 is divided by 132?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 300231661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*a**5 - 3*a**4 - 702*a wrt a?\nAnswer: -1380*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*d + 25 = 736*d + 5*p, 0 = 14*d - 3*p - 53 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7268, 14579, 21892, 29207?\n\"Answer: k**2 + 7308*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(392) - (sqrt(392) - sqrt(392)*1)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488403 to the power of 1\/2, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 1\/2*f**4 + 22*f**2 + 0*f - 10\/3*f**3 + 0. Is 17 a factor of c(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42584 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 53. Suppose 2*m + m = -2*g + 13, -g + 5 = z. Let k(j) = j**2 + 3*j - 7. Let x be k(-5). What is the nearest to m in x, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13*d + 1. Let x be q(-1). Let h be x\/5*20\/(-6). Solve 5*a - h = -28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14704384 is divided by 1867?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2142*k**2 + 50 - 1427*k + 1786*k - 54 wrt k.\nAnswer: 4284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -56*x**2 + 150*x + 1107. Give a(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 45*g**3\/2 - 1441*g**2\/4 + 683*g\/2 - 15\/4 = 0?\nAnswer: 1\/90, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, f: 2, c: 1}. Give prob of picking 1 f and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = w + 4*w. Let y = w - 11. Suppose 0 = y*u - 3*u. What is the second biggest value in u, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6184 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -11\/10 in increasing order.\nAnswer: -3, -11\/10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69.952 - 70. Let v = 7.048 + o. Let u = v - 7. Which is the nearest to 0? (a) -1\/3 (b) u (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -160.5938 and 0.2.\nAnswer: -32.11876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + -2 - (8 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 2\/1960671 (c) -0.3 (d) -4\/9 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -796 - -379. Let t = -416 - y. Which is smaller: t or 1.32?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(384)\/sqrt(2) + sqrt(432)\/sqrt(4)) - ((sqrt(9)\/sqrt(12))**2 + (sqrt(300)*3)**2 + -1).\nAnswer: -10799\/4 - 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 347 - 156 - 24*m**2 - 188. Let u(q) = 49*q**2 - 7. Calculate -7*i(s) - 3*u(s).\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881749925?\nAnswer: 5, 7, 5038571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2 = 3*n, -4*n + 7*u + 15 = 51 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - b + 4 = -v, -2*v = -2*b. Suppose 0 = 5*j, 9 - 3 = v*k - j. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 51\/12 - 4 - (-68)\/(-16). Let n be (1 + 9)\/((p\/(-2))\/1). Sort -5, n, -3, 3 in decreasing order.\nAnswer: n, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 10100110000011?\nAnswer: -10100110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*c - 2*c = -0*c - 4634078. List the prime factors of c.\nAnswer: 2, 23887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)*3*-2. What is the third derivative of 2*g**c + g - g**2 - g wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -119, -239, -361, -485, -611?\n\"Answer: -p**2 - 115*p + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2252 + 4?\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 81*i - 189. Let n be r(43). Calculate the highest common factor of n and 1118.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25228.6 + -10461.6?\nAnswer: 14767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007549 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 14*s**2 + 19*s + 41. Let n be a(8). Solve n = 212*q - 199*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from {r: 2, i: 5, y: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 277*p**3 - 814*p**3 + 10 - 323*p**2 - 2*p + 317*p**2. Is t(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 471 + -221. 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: List the prime factors of 51931344.\nAnswer: 2, 3, 29, 37307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/32 - (-6)\/(-32))\/(4*3\/16)\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 27 = -h, -h + 2*i = -6*h + 144. Suppose a - h = -4*a. Suppose -a*o + 230 = -o. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.1, 5\/11, -0.01, 1, -0.4.\nAnswer: -0.4, -0.01, 0.1, 5\/11, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -g - 5*j - 7, 3*j = 2*g + 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = -23*z + 66*z - 113 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 99. Suppose -5*j - h = -461. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 21\/11, 0.2, -5\/6, -0.4, 139, -3\/7?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3 + (-85585155)\/(-9). Suppose -2*d - a = 1090538. What is d rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/84 - 0)*((-5143)\/(-74) + -29). Solve k*l**3 + 0*l**2 + 3\/7*l**5 + 0 + 0*l - 18\/7*l**4 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-51090)\/(-33) - (-30)\/(-165)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 308 - 326 + 634.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**3 + 109*v**2 - 238*v - 530. Let y be z(19). Suppose 0 - 1\/9*k**5 + 0*k - 784\/9*k**3 - 56\/9*k**4 + 0*k**y = 0. Calculate k.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -4*d + 5*h, -h = -d + 1. Let s be d\/2 + 1*(3 - 0). Solve g = 0, s*t + 2*g + 20 = -g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(6\/13)\/z)\/z*z)*z**(-3))\/(z**(-38)\/(z*z\/(z*z\/((z\/(z\/(z\/z**30)))\/z*z*z)*z*z)*z*z)) assuming z is positive.\nAnswer: z**(111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.14 + -2.86. What is the nearest to -0.2 in y, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*c - 2*c - 5775 = -4*g - 5871, 196 = c - 8*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to 747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11185 or -3042501\/272?\nAnswer: -3042501\/272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/18 + 220\/3?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuxn when four letters picked without replacement from xdnududxdddnx.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 17*m + 3. Let q = -1 + 10. Let d(o) = -4*o - 1. Let t(h) = q*d(h) + 2*k(h). Find the first derivative of t(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + -36. Let o be (-154)\/s + 2\/(-4). Let c(v) = -1 + 4 - o + 5*v. Let j(h) = 2*h. Calculate j(c(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(153\/34)*(-117)\/26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 715685068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34aa149 (base 11) in base 16?\nAnswer: 5d5d7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*s**3 + 587615*s**2 + 7478850*s = 0.\nAnswer: -2049, -730\/57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w. Let z(s) = 377*s**2 + 9. What is t(z(m))?\nAnswer: -3770*m**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-29)\/(y*y**(-17)))**34)**(-13) assuming y is positive.\nAnswer: y**5746","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((1 - 0) + 0). Suppose -4*k + 7*k - 3 = -3*i, -3 = i + z*k. Calculate the remainder when 234\/i + (-4 - -2) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -71*b**2 + 6*b**3 + 35*b**2 + 46*b**2 + 5. Let r(q) = q**3 + q**2 + 1. Let l(d) = 14*r(d) - 2*v(d). Is 3 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w + 2. Determine m(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + (-1535)\/15)*2106\/(-65)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 11. Suppose j*s = -3*s. What is the second derivative of 2*n**2 + s*n - n**2 + 3*n wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -182037691773 and 282.\nAnswer: -182037691491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**3*v + 4686*f**2*v**2 + 2*f*v - f + 7*v**2 - 16 wrt f.\nAnswer: -36*f*v + 9372*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30889726*q**3 - 15739485 wrt q?\nAnswer: -92669178*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r + 50 = 0. Calculate the highest common factor of r and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -940, -807, -598, -319, 24, 425, 878, 1377?\nAnswer: 1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98206752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -104*n**3 + n**2 - 3*n - 3. Let g be u(-1). Let m = -38 + g. List the prime factors of m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19909.85l in millilitres?\nAnswer: 19909850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1966717 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {d: 9, w: 6, o: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 746523 divided by -6?\nAnswer: -248841\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.038, -0.2, 1\/12, -5, 0.5, 5\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.072 plus -0.2848?\nAnswer: -1.3568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 - -332. Let u = 168.97 - v. What is the closest to 2\/3 in 3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70518 and 8694?\nAnswer: 634662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*d*o**2 - 265*a*o**3 + 18*d*o**3 + 6*o**3 with respect to a.\nAnswer: -3*d*o**2 - 265*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -127\/5, 2\/9, 2\/7, 0.1, 27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 19*l**2 - l - 7. Let n be y(-19). Suppose -7*u + u + n = 0. Suppose -2*i - 8 = 0, -u*m + i = -7*m - 14. Are -4 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408 and 24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6199933*f**5 - 22*f**4 + 87776773*f.\nAnswer: 123998660*f**3 - 264*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (-2*sqrt(143)*-6 - sqrt(143)) + sqrt(143) + sqrt(143)*-2*1)\/((-2*sqrt(99)\/sqrt(3))\/(sqrt(12)\/(-1*sqrt(4)))))**2*1.\nAnswer: 1573\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4018, -8012, -12006?\nAnswer: -16000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/45 - -37*34508\/6. Suppose -4*f - 4*f = -o. Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -106, -15, -0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -28)*(791\/196 + -4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*l = -1130, -5*g = -5*l - 2279 - 476. Let o(w) = -34*w - 13. Let u be o(5). What is the common denominator of (-1)\/(-3 - g\/u) and 8\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffty. What is prob of sequence fyt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*x = 17, -4*i + 3*i - 1 = x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/((sqrt(24)*-1)\/sqrt(4))*2 + -1)**2.\nAnswer: 4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225492900.\nAnswer: 2, 3, 5, 751643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**0\/j*j)\/(j\/((j**(-2\/7)\/j*j)\/j*j)))\/(j**(-3)*(j\/j**(-3))\/j)*j**(1\/7)\/j**3*j**(-6)*(j\/j**(-4))\/j assuming j is positive.\nAnswer: j**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2. Let i(o) = -18*o**2 + 54*o - 243. Let p(l) = -15*a(l) + i(l). Factor p(b).\nAnswer: -3*(b - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 96 = 31. Suppose 3*l - 230 = -7 - 40. Calculate the remainder when l is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-3*z**3 - z**3 + 3*z**3) - 6913*z**3 + 19685*z**3 - 8032*z**3.\nAnswer: 4739*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766127 = -350*m - 763677 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000271490207 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*g = -22, -26 = -2*u + g + 4*g. Suppose u*x - 3*y + 18 = 0, 5*x + 27 = -0*x + 4*y. Is (-203)\/x - 12\/18 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.060904 + 9656?\nAnswer: 9724.060904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2206, -22806, -78712, -187576, -367050, -634786, -1008436?\n\"Answer: -2942*t**3 - t**2 - 3*t + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k - 5 = 0, 0 = v + 2*k - 3. Suppose -3*a - 205015 = -v*d, 3*d + 122975 = 6*d + 5*a. Round d to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, m: 2, h: 2}. What is prob of picking 1 g, 1 h, and 1 m?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.9 - -37. Which is the nearest to u? (a) 6\/11 (b) -2\/11 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8*1300\/3575. Which is smaller: v or 1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525625\/6 + 1\/6*a**2 + 725\/3*a = 0 for a.\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65777, 65784, 65795, 65810?\nAnswer: 65829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 8. Let b be y(6). What is the tens digit of (8\/12 + b\/(-6))*83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 69, 1, -41.\nAnswer: -41, -1, 1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554070518?\nAnswer: 2, 5581, 49639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let y(z) = -z**2 - 16*z - 12. Let j(u) = -2*u - 1. Let b be j(7). Let h be y(b). Calculate the highest common factor of v and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1466 - 775. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272*z + 1253734 = 1350406 for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s**2 + 5. Let j(h) = -5*h**2 + 3. Suppose -6*v - 25 = 5*c - v, 3*c - 3*v = -3. Calculate c*m(x) + 5*j(x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34*(-5)\/(-40)*4. Let j = n + -13. What are the prime factors of (j - 18\/5)*90?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3122 + -78038\/25. Let x(b) = -2*b - 30. Let j be x(-16). Suppose 2*d - 3*n + j = 0, 5*d + 3 = -n - 2. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 2*f - 18. Solve -2*i + 10 = f*b, b + 2*i + 6 = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 22*j + 6. Suppose -s + 41 - 47 = 0. Let u(k) = -k + 1. Let r(n) = s*u(n) + a(n). Let x(p) = -p. What is x(r(w))?\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3684, 7217, 10676, 14067, 17396, 20669, 23892, 27071?\nAnswer: 30212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/10)\/(1\/14). Let j be 2*(-490)\/100*(21\/(-18) - -2). Is j smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 48239 = -67206. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -414 <= -414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 10. Suppose 0 = r*h - 0*h. Suppose -3*s + 8 = -s - 2*a, -2*a = h. 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(j) = -j**3 + 10*j**2 - 12*j + 4. Let l be y(8). Suppose l = 10*v - 6*v. What is the highest common divisor of v and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - 1) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 2*a**2 + 17*a + 38. Let y be x(-2). Let k(u) = -u**3 + 3*u**2 + 3*u - 1. Determine k(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrccrrrrrrrrrrrccrrr.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6854 + 18b?\nAnswer: 6a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 12:43 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + 0.6. Let m = 5.5 - w. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(18\/5)*c*c)\/(c**(24\/11)*c)*(c\/c**(-11))**(-42))**(-30) assuming c is positive.\nAnswer: c**(164862\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/12 + 7*t**3\/3 - 17*t**2\/2 - 2*t. Let l be a(13). Is (l\/10)\/(1\/(-20)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -303, -6\/23, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**5 - 140*t**4 + 2655*t**3 + 19890*t**2 = 0.\nAnswer: -39, -6, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 44 + 8*c**3 + 2*c - 13 - 17 - 12 - 29*c**4 + 2*c**2 to t + q*c**2 + f*c**3 + z*c**4 + w*c and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(o**2 - 9 + 10 - 11*o**2)*(-o - o**2 + o) + (-o**3 - o**3 + o**3)*(3 - 3 - o) + 4*o**4 - o**4 - o**4.\nAnswer: -27*o**4 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 175.4, -1, 3\/7, -2 in decreasing order.\nAnswer: 175.4, 3\/7, -0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25 and -26.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14094254 a multiple of 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6229 or 6227?\nAnswer: 6229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 3 + 3*w - 3*w - 5*w. Let q be n(6). Let b(a) = -a**3 + 3*a**2 + 2*a + 4. Is b(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17*k**3 - 5*k**2 + 3*k - 11. Let x(j) = -6*j**3 + 2*j**2 - j + 4. What is 4*h(q) + 11*x(q)?\nAnswer: 2*q**3 + 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 5*d - 7. Let o(l) = l + 1. Let r(i) = -4*o(i) + y(i). Let j be r(10). List the prime factors of j\/(-4) + 51\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1814883 or -1814882?\nAnswer: -1814883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 993885795 to the nearest integer?\nAnswer: 31526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.86775 meters to micrometers.\nAnswer: 45867750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1900.00006651 + 1900. Round t to 6 decimal places.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-84 - -86) + (-5)\/(-2). Let s(v) be the second derivative of -3\/2*v**4 + 5*v + 1\/5*v**5 + d*v**3 + 0 - 27\/4*v**2. Determine t, given that s(t) = 0.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 4*j - 4. Let v be o(4). Let k be v\/(-18) + (-2)\/9. Is (-17)\/(-1) - (k - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 65904.\nAnswer: 65904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50455.3 or -91?\nAnswer: -50455.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 1, l: 3}. Give prob of sequence llq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + sqrt(7)*-3)**2 + (sqrt(14)\/sqrt(2))**2*3 + sqrt(7).\nAnswer: -91 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((136320\/800)\/(-142))\/(2\/(-10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(4\/6) + (-3150)\/(-6). Let k = -338 + j. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0 + 1\/40*r**6 + 0*r + r**2 + 1\/2*r**3 - 1\/6*r**4 + 1\/20*r**5. What is the units digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Let j(g) be the second derivative of g**7\/140 - 17*g**4\/12 + 12*g. Let i(s) be the third derivative of j(s). Determine t(i(k)).\nAnswer: 324*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5787381 + 5787456 = 2*r + 5*x, -4*r + x + 95 = 0 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -1805 - 723*k + 21*k**2 - 119*k**2 - 5*k**3 - 97*k**2 - 1272*k = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/k*k**(-11)*k*k assuming k is positive.\nAnswer: k**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 359234143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7633 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 5. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 2, -25\/72 in descending order.\nAnswer: 2, -25\/72, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-3726)\/(-252))\/(2\/14)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13*i**3 + i - 14. Suppose 2 + 22 = 4*w. Let o be n(w). Round o to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260, -1059, -2378, -4205, -6528?\nAnswer: -9335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnf when three letters picked without replacement from jfvnfn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*r + 34, 2*r + 5*q = 3*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 29*d**2 - 1929*d - 18. Let f(a) = 25*a**2 - 1926*a - 15. What is 6*f(q) - 5*s(q)?\nAnswer: 5*q**2 - 1911*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12168957 is divided by 90813.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60174673304387 take away -0.1?\nAnswer: 60174673304387.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -13, 13, 61, 137, 247, 397, 593?\n\"Answer: o**3 + 2*o**2 - 3*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -955 - -1040 - (33 - -3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 41 - 145 = 0. Suppose 4*s + 10 = t. Solve f - s = -4*i, 3*i + i + 2*f = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -16*n + 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*l - 316679 = 0, -3*n + 193372 = 5*l - 756631. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18031 - 252323\/14. Suppose -3*a = 5*s - 22, a - s + 8 = 2. Calculate the common denominator of ((-365)\/20)\/a + -2 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 14. Let l = 3 - 2. Let q(o) = 4*o**3 - 6*o + 4*o - o**2 - o + 8*o - 7*o. Let h(i) = i**3 - i**2 - i. Determine c*h(f) + l*q(f).\nAnswer: f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 1\/6, 3, 1.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*x - 7*x + 9*x)*(3*x + x - 3*x) + 3*x**2 - x**2 - x**2 in the form t*x**2 + f*x + v and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -16 - 15\/2*i**2 - 18*i. Let a be g(-6). Calculate the greatest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14848 and 9136160.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, 0.1, 2336?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 18. Let k = 9 - q. Is 1\/k*0 + 19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdmhmamammmm. Give prob of sequence hdmm.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82.681 - -0.881. Let v = -82 - l. Which is the nearest to v? (a) -4 (b) -11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18921304 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 - 2*g - 6. Let z(q) = 2*q + 27. Let o be z(-11). Let p(t) = -3*t**2 - 2*t - 5. Determine o*c(x) - 6*p(x).\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + (-2316)\/(-210))\/((24\/(-9))\/(5\/3))\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9665 + -9645. Calculate the greatest common factor of v and 16740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/2 + 12*d**4 + 89*d**3\/2 - 405*d**2 - 900*d = 0. Calculate d.\nAnswer: -15, -12, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 51969 = -3*c, -46*z + c = -48*z + 34646. What are the prime factors of z?\nAnswer: 17, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 94986.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000047072 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17917881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*o**2 + 49*o**2 + 99*o**2 in the form b*o + h + c*o**2 and give c.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-40)\/(p\/(p\/(p\/p**0))*p)**37 assuming p is positive.\nAnswer: p**(-438\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360, 361, 362?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 - 85 + 6*t to x + m*t and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.7 - 8.5. Round q to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 11:02 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z + 1. Let b be r(1). Let j be (4 - 5)*32\/b. Solve j*k - 25 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 + 42 = n, -5*s + 5*n + 180 = 0. Let h be (s\/(-32) + (-1)\/4)\/(-12). Which is the third biggest value? (a) -2 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 4*c - 92, 19729*c + 2566 = 2*r + 19857*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*t + 4*b, -2*t = -t - 4*b - 26. Suppose t = f + 5*p, 0 = p + 2*p - 9. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3848204, -7696405, -11544604, -15392801, -19240996?\n\"Answer: r**2 - 3848204*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425355889.\nAnswer: 19, 75018731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -57. What is the remainder when 114 is divided by (-308)\/(-8) - (0 - 3\/w)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*c + 71*c + 415264. Suppose -c = -7*l - 17415. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - ((2 - 0) + -2). Let u = -16.1 + -56.9. Let h = u - -71. Which is the nearest to 1? (a) h (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n + 162. Let z be k(26). Solve -2*v - 2*f = -0*f + 8, -2*f - z = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 11928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdff when four letters picked without replacement from ffdffdfd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-30))\/(6\/(-24))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f)**(-2\/39)*(f*(f*f**(-2\/15)\/f)\/f*f)\/((f*f**(-1\/4))\/f) assuming f is positive.\nAnswer: f**(317\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o + 5*j = 15, -3 = -o + 4*j. Let t(w) = -5*w**2 - 3*w + 2. Let d(y) = -4*y**2 - 3*y + 2. Give o*t(g) - 4*d(g).\nAnswer: g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 8*p - 6. Let d(n) = -13*n + 8*n**2 - 67*n + 47 + 15*n. Let i(j) = 6*d(j) + 51*o(j). Factor i(m).\nAnswer: -3*(m - 4)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:30 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*k**5 - 12866 + 12866 + (k**3 - k**3 + 2*k**3)*(-k**2 - 4*k**2 + 4*k**2) + 2*k + k**5 - 2*k + 4*k**2 - 4*k**2 + 3*k**5.\nAnswer: -29*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.4 (c) 3 (d) -68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -24.2 (c) 2\/11 (d) 2 (e) -0.2 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 435361 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1387935 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*h = -2*h + 149, 3*h = -6. Calculate the remainder when ((-6940845)\/172)\/153*(4\/(-5) + 0) is divided by m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 8*d**2 - 5*d - 14. Let b be a(7). Suppose 13*h - 15*h + 216 = b. What is the remainder when h is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*d - 72*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -12*h - 24933 - 19335. What are the prime factors of h?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -893.19 rounded to the nearest 10?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1494*v - 1494*v - 19*v**2.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*w - 5*m, 3*w = -3*m - 13 - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 2. Let l(w) = -48*w**2 - 33. Let n = -27 + 29. Suppose -3*z - 165 = n*z. Give z*m(s) - 2*l(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 - 0.17. Let p = 0.5 + -2.5. Put d, p, -1 in descending order.\nAnswer: d, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 20, 3*c + 3 = -2*o + 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 1. Let v be p(7). Let q = 34 + v. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. What is the nearest to k in -1, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 2. Let r be b(6). Does 17 divide 4\/(-6)*(-1656)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/4429125 and -106\/2303145?\nAnswer: 57578625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/3 - 68423*d**3\/3 - 159665*d**2 - 342147*d - 205290 = 0.\nAnswer: -3, -1, 68430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292932 and 4467213.\nAnswer: 17868852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + 0*x**2 + 0*x**2 + 4*x - 2*x**3 to f*x**2 + c*x**3 + t + y*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137266 is divided by 372?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1305.7 - 4.041.\nAnswer: -1309.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 27098 = 4*y, -5*z + 27096 = 15*y - 18*y. Calculate the greatest common divisor of z and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29319529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert eba7e (base 15) to base 2.\nAnswer: 10110110101011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3344240400 (base 5) to base 15\nAnswer: 9b7100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*v = 110, -v = l + 2*v - 3. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77, 84, 95, 110, 129, 152?\n\"Answer: 2*g**2 + g + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = t - 13, -36 = -10*t - y - 28 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/78)\/(28*(-4)\/(-48))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 325555*z + 2 - 325592*z to t + w*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*d - 1731 = -3635. Calculate the greatest common divisor of d and 4590.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 12*a + 11*a)*(a - 1 + 1 + (-1 + 3 - 4)*(1 - 1 + 2*a) - 14*a + 19*a + 86*a).\nAnswer: 2376*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {g: 1, j: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + c = -20, 3*i - 3*i + 5*i + 2*c = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(0 + -12) + (-78)\/260?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 85, 59, 11, -65, -175, -325?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 - 4*k. Suppose -3*q + q = y + 18, -4 = 2*y. Let x = q - -8. Suppose x = -n - 2*v + 7, 2*n + 1 = 3*n - v. What is w(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240576.61 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 265.46 - 270. Let n = y + 0.54. Which is the biggest value? (a) n (b) 0.4 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7922544*a - 5*a**3 - 5628 + 7922544*a)*(3*a + 3*a - 4*a) in the form t*a + u*a**3 + n*a**2 + j*a**4 + k and give t.\nAnswer: -11256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161904 a multiple of 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (156\/(-1014))\/((-1)\/(65\/(-5)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, m: 5, n: 6, p: 1}. Give prob of sequence nm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 20. Let r(g) = -5*g**3 - 39*g - f*g**2 + 14*g + 21*g + 4. Let j = 10 + -6. Let y(m) = 4*m**3 + 3*m**2 + 3*m - 3. Calculate j*y(d) + 3*r(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -3, 19.3, 1.59, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000000111 (base 2) to base 8.\nAnswer: 6007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5426658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2998*t - 14 = -2984*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -892, -1785, -2678, -3571, -4464, -5357?\nAnswer: -6250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 9*k**2 + 5*k + 10. Let l be g(-9). Let d = l + 41. Solve -3*m = 15, z - 3*m + 17 = -d*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/120 + f**5\/12 + f**4\/8 + 7*f**3\/6 + 13*f**2. What is v(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32963.58 milliseconds in hours?\nAnswer: 0.00915655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40 + 1470\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*u - 2776 + 2788 - 30*u - 5856*u**2 wrt u.\nAnswer: -11712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2431 - 811 + 2*g - 811 - 809.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28125 is divided by 194.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2))\/u**(1\/15))**(-42) assuming u is positive.\nAnswer: u**(224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 less than 1.66?\nAnswer: 25.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/13)\/p)\/p**(-2\/13))**(-13\/2)\/(((p\/p**(-1))\/p)\/p**(-3)*(p**0*p)**(-24)) assuming p is positive.\nAnswer: p**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 2. Find the first derivative of 4*d**2 - d**2 - 2*d**y + 1 wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3746743 and -3746743 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**3\/3 + 5*m**2 - 9*m - 4. What are the prime factors of r(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t - 11. Let p(k) = 4*k - 6. Let c(a) = -3*f(a) + 5*p(a). What is c(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 2)*(-92)\/(-6). Let i be d\/14 + (-4)\/(-14). Let f be i\/(-6) - (-2)\/(-4). Put f, -2, 2 in decreasing order.\nAnswer: 2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Let z = 10 + -8. Suppose -p = -2*p - t - 6, 0 = -z*t - 10. Which is the smallest value? (a) p (b) f (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 33660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usus when four letters picked without replacement from {s: 1, n: 4, h: 3, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 4*g**2 - 2*g + 3. What is b(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 + 2*l + 4. Let x be a(-1). Are 3 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 96 = -g + 20*t, 2*t - 308 = -3*g. What is the remainder when g is divided by 89?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o**2 + 3*o - 12. Let z(v) = -18*v**2 + 6*v - 27. Let u(g) = -9*c(g) + 4*z(g). Let s(y) = 14*y. What is u(s(m))?\nAnswer: 1764*m**2 - 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 63655263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(sqrt(11) + 1) - (sqrt(11) + -1 + 4 - (-3 + sqrt(11) + 0 + sqrt(11)))**2.\nAnswer: -37 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(204) + sqrt(204))*-2)\/sqrt(12) - 6*(0 + 0 + sqrt(17))) + 3*(sqrt(2448) + 1) + -5*(sqrt(2448) + 1).\nAnswer: -34*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*m**2 + 4*m**4 + 17*m**2 - 2*m**4 + 1 - 2*m**3 to i + k*m**3 + o*m**4 + b*m + r*m**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.51.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 4583595*p + 77920248 = 0 for p.\nAnswer: -1527848, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7234 is divided by 90?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 times -3?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z - 281*z**2 + 0*z + 2 - 1005*z**2.\nAnswer: -1286*z**2 + 16*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.332909mm?\nAnswer: 7332.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -567, -2128, -4681, -8226?\n\"Answer: -496*k**2 - 73*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.3. Let b = -1 + 1. Let n = -0.06 - 3.94. Sort n, o, b in descending order.\nAnswer: o, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*a + 26. Let h(k) = -2*k**2 - 5*k - 2. Let d be h(-3). Let g = a + d. Put -4, -2, g in descending order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 111 = -27. What is the least common multiple of g and 286?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0.0693409\nAnswer: 3.9306591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3788 and 12.\nAnswer: 11364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73901271 = 4*y + 2*c + 18341267, -13889996 = -y + 2*c. Round y to the nearest one hundred thousand.\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33527980 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*l - a + 245, -57 = -l - 4*a. Calculate the remainder when l is divided by (-8)\/((-1872)\/4966) - (-2)\/(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from zzzzdzzzdzzzdzddzz.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 + 7*w - 3. Let j be f(6). Suppose j*p = -4 - 5. Put -4, 3, p in decreasing order.\nAnswer: 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 144\/19?\nAnswer: 144\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1556, -3113, -4670, -6227?\n\"Answer: -1557*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 16 = 7*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -772.271 - -772. Let p = 0.27095108 + x. Round p to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let c(i) = -4*i**2 + 3*i. What is c(m(t))?\nAnswer: -4*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429947 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 106216?\nAnswer: 106222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61240 is divided by 354.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 55.92139 kilograms?\nAnswer: 0.05592139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -215*a**2 + 14*a + 4. Let d be w(-2). Is 11 a factor of (20 + -19)\/(0 + -1)*d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (721*w**2 - 337*w**2 - 361*w**2)*(4 - 4 - 5*w).\nAnswer: -115*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 137*h - 126. Give k(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 26, 461, 7 in ascending order.\nAnswer: 7, 18, 26, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*l + 295 - 44, -253 = -5*n + l. Let j = n - 47. Solve 1 = -j*c + 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = a + 75 + 66, 4*a + 132 = 3*t. Let f be (8\/t*-15)\/((-5)\/4). Solve f*b + 5 = v - 2*v, v = -b - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3599*p + 1807*p - 1792 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 178.8. Let s = 173.6240849 + 5.3760081. Let b = s - f. What is b rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h + 1. Let j be 2\/(-11) + (-4)\/(-22). Let d be b(j). What are the prime factors of 24 - (d - (0 - -3))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 9:41 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5.1. Let o = 0.047 + -2.047. What is the nearest to -3 in o, 0, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1699*r - 884*r + 205*r + 7134 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 171 = -5*p - 128, -4*h = -4*p - 240. Let n = p + 94. What is the greatest common factor of 35 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4*p = 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**3\/2 - 29861*j**2 - 445690318*j + 4459889780 = 0.\nAnswer: -29866, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014376 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23877 and 17997?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 29*l + 27*l + 1 - 2*l to the form s*l + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -6. Suppose -3*z + 12 = 0, 2*a + 4*z - 43 - n = 0. What is the remainder when 30 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/120052140?\nAnswer: -1\/120052140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t - 2*i - 18, -5*t - 4*i = 90. Calculate the common denominator of (2 - 3) + t\/10 and (-3 - -1)\/((-40)\/18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.79 times -89?\nAnswer: -5499.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(132) + -2*sqrt(132)*-5 - (sqrt(132) + -2*((sqrt(132) - (sqrt(132) + 2*sqrt(132))) + sqrt(132))))\/((-2*-2*sqrt(96))\/sqrt(8)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v - 40. List the prime factors of p(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/24 + 5*b**2. Let p(s) = 3*s. Give p(q(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 306975*w**2 + 23558259168*w + 23558566144.\nAnswer: (w - 153488)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*r + 49, 2*s + 30 = 3*r - s. Suppose 5*g = 12 + r. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 832*j**2 - 415*j**2 - 1365*j**3 - 417*j**2.\nAnswer: -1365*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-210)*-15*-7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18441 greater than -262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15691\/786 - -17\/131. What is the common denominator of l and 20\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**2 + 187970*c + 375951. Give n(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132108 and 99408?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adeeyreede. Give prob of sequence yr.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/(-150) - (-4974)\/8290.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10422?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1950 and 4016850.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-9)*c)\/((c**4\/c)\/c))**44 assuming c is positive.\nAnswer: c**396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/2 - (-6)\/(-12). Suppose -o*p + p = -140. What is the remainder when 82 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 4*m + 2. Let c be g(-4). Suppose 0 = -2*u - 3*r + 10, 4*r + 2 = 6*u - u. What is the highest common divisor of u and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732639487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**6*j**0)\/(j**(-7)\/j**(-6)) assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41.2 in -2, 14, -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + 125. Factor -f + 40*a**2 - 3 - 522*a + 517*a + 20*a**3.\nAnswer: 5*(a + 2)*(2*a - 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 14175 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5109398?\nAnswer: 2, 7, 163, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:16 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15 - -3) + (12 - -1). Let a = 0.97 + -1.1. What is the closest to a in t, -2\/13, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let m(b) = 13*b**2 + 5*b - 3. Let p(w) = m(w) + 5*y(w). Let u be p(3). Suppose 3*q - u = q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - m - 2. Let d(c) = c**3 - 8*c**2 - 9*c + 6. Let h(j) = -3*a(j) - d(j). Suppose h(b) = 0. Calculate b.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4134549809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {t: 3, d: 2, q: 1, i: 2, p: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 7) to base 8\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 6. Let v be q(4). Let w = v + 31. Suppose 162 = w*g - 128. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*p)*(3*p**2 - 4*p**2 + 3*p**2) + (4*p + 12 - 5*p + 0*p)*(3*p - 3*p + p**2).\nAnswer: 3*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105860, 211730, 317608, 423494, 529388?\nAnswer: 635290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 5. Suppose -272 = 55*o + 113. Calculate the smallest common multiple of ((-4)\/o)\/(g + 305\/(-105)) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3302 and 1143?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 1619 = 43*s + 32*s + 31 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22133 (base 4) in base 14?\nAnswer: -35d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + k - 1 + k + 4*k.\nAnswer: 12*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -331300, -662647, -994020, -1325431, -1656892, -1988415, -2320012?\n\"Answer: -2*k**3 - k**2 - 331330*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -2 (c) -42 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*b + 1)*(-133493 + 241349 - 121856).\nAnswer: 28000*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*t + 36, d = -0*t - 2*t - 3. Find the second derivative of 11*b + 3*b + 22*b**2 - d*b wrt b.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(10*c + 24*c + 13*c) - 10 + 2*c + 3*c - 3*c to w*c + i and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122202 - -11?\nAnswer: -1122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -95*((-54)\/(-15) - 4). Suppose 3*y + o = -13. Let f = -14 - y. Solve -f + 6 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -264\/5. Which is the closest to o? (a) 0.9 (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 171.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -2 + 20\/9*w**3 + 1\/18*w**4 - 7*w**2 - 106*w. Factor u(z).\nAnswer: 2*(z - 1)*(z + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7195.382 centuries in years?\nAnswer: 719538.2","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 31487*0.287\nAnswer: 9036.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -5)*(1 + (-2 - -1)). Which is smaller: -3\/94 or f?\nAnswer: -3\/94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*q - 31 - 36 + 67 as d + c*q and give c.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*j = -278, -35*o + 31*o + 243 = -5*j. Suppose -5*r = 3*m - 392, 3*m - 231 = -2*r + 176. What is the remainder when m is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - v + 5*v = 29, 2*v - 1 = 3*i. Let b be i\/(180\/68) + 6\/(-45). Let o be b\/(-1)*(-1)\/(5\/50). Put 1, 0, o, -1 in increasing order.\nAnswer: -1, 0, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4, -284 in descending order.\nAnswer: -1\/4, -4, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*o + 72, -7*o = -3*w - 13*o + 105 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 8*f**2 - 9*f - 7. Determine w(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-4\/9)*j**(5\/4) assuming j is positive.\nAnswer: j**(97\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*f = -40, -3*f = 3*o + 2*o - 35. Suppose w + 2*k = -2*k + 601, 2446 = o*w - 5*k. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x - 10. Let o be (-220)\/30 + (-1)\/(-9)*3. Let b(f) = -23*f + 29. Let s(a) = o*t(a) - 2*b(a). Let c(h) = -7*h + 8. Determine 7*c(u) - 5*s(u).\nAnswer: u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 16) in base 5?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7157821 and 650711.\nAnswer: 7157821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 26, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1057 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 + 9*l**4 - 12*l**4 + (2*l**4 - 5*l**4 + 2*l**4)*(-1 + 4 + 4).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*b - 6*b. Let k(q) = 2*q**2 + 6*q - 2. Let x(n) = 5*n**2 + 12*n - 5. Let v(o) = -9*k(o) + 4*x(o). Is 12 a factor of v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:36 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85, 100, 141, 220, 349, 540, 805, 1156?\n\"Answer: 2*w**3 + w**2 - 2*w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 7 = -11*y + u, -y + u - 9 = 0. Let f be y\/(-28) - (-1 - 80\/(-35)). Which is smaller: f or -1\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.2668 - 0.2668. Which is the nearest to -1\/4? (a) i (b) 0.4 (c) -7\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1168, -2588, -4008, -5428?\nAnswer: -6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -182\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 2586003 = 3*k, 0 = 20*k - 25*k - 3*t + 4310005. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/14 and -89\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/178, 70, 0.2, -5, 3 in ascending order.\nAnswer: -5, -5\/178, 0.2, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 - 40*r**4 + 170*r**3 - 260*r**2 + 175*r - 44.\nAnswer: -(r - 1)**4*(r + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.96 + -4.3. Let j = q - -0.12. Let f = j - 0.78. Which is the closest to -1? (a) 0.3 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255277497 to the power of 1\/3, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -0.1 (c) -23 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34*14*(-11)\/(-308)*1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*b + 252 - 117 - 111 = l, -2*b = -2 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -214, -0.5, 4, -1.\nAnswer: -214, -1, -0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -95225604 divided by -15870934?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*x - 1. Let k(v) = 3*v**2 - 3*v - 2. What is k(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.23.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 + 26*v**2 + 15*v - 331. Is t(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -705 (base 9) to base 2\nAnswer: -1000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2646816*-0.01.\nAnswer: -26468.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.043.\nAnswer: 0.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-71)\/(-142))\/((-2)\/(-100)) + -4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 10 = -25*v. Let x(c) be the first derivative of 1\/2*c**2 - v + 0*c. Let o(h) = -9*h. Determine o(x(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2272 is divided by 454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkdkkddkkdddd. Give prob of picking 2 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-15)*(0 - 24). Let d(h) = -8875*h. Let n be d(q). What is n rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63059\/5 - -12615. Find x such that -4\/5*x**3 + 4\/5*x + 16\/5 - o*x**2 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -2 + 1 + -3)*-4*6)**2.\nAnswer: -46080*sqrt(7) + 412416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 304\/72 + 1292\/18. What is the highest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12\/7 - -29\/21. What is the nearest to 1 in o, 5, -0.7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 3. Let u be m(6). Suppose -r = u*r + 4*t - 16, 4 = r - 2*t. Suppose 0 = -2*n + 5*n - 4*c - 6, 2*n + c + 7 = 0. Put 5, n, r in decreasing order.\nAnswer: 5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1*q**(-9)*q*(q\/(q\/q**10))\/(q*q*(q*q*q*q**(1\/7)*q*q)\/q*q) assuming q is positive.\nAnswer: q**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 10) in base 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -156834 - 10*p + 0*p**2 + 156856 - p**2. Give x(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Let g = 16 - a. Calculate the highest common factor of g and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 + 0 + 0)*(j**2 + 2*j**2 + 0*j**2) + 125*j**2 - 12*j**4 - 125*j**2 to the form a*j**3 + w*j + m + s*j**2 + l*j**4 and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d**2. Let x(r) be the third derivative of -r**7\/2520 - 7*r**4\/12 + 10*r**2. Let p(t) be the second derivative of x(t). What is b(p(n))?\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 0*i**2 + 32 + 13*i + 13*i**2 - 6*i. List the prime factors of a(-5).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u - 1. Let s be (-11)\/(-4) + u\/(-4). Suppose p + 3*p + 4*b + 4 = 0, -p - s*b = 11. Put p, 1, 0 in increasing order.\nAnswer: 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 805 + -805 + (0 - 22).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (54\/63*-21)\/(20\/5)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2041646260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3758.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 + 48*m**3 - 159*m**2 + 186*m - 72 = 0. Calculate m.\nAnswer: 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2170 (base 14) to base 7.\nAnswer: 22600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 minus 0.08?\nAnswer: -130.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let i(b) = 1 + 6*b + 0 - 2*b. Suppose -25 = -5*x, 33*x - 23 = -3*k + 32*x. Let s(m) = k*f(m) + 3*i(m). What is s(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -59*t + 2011. Let g be m(34). What is the second smallest value in 4, g, 0.11, -5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.8 times -14972?\nAnswer: 1554093.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 855, 2305, 4345, 6981, 10219, 14065, 18525?\nAnswer: 23605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, 42, 32, 2, -54, -142, -268, -438?\n\"Answer: -k**3 - k**2 + 14*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 527*r**2 - 48*r**6 - 339*r - 9*r**4 + 668*r**2 + 339*r wrt r?\nAnswer: -5760*r**3 - 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567435 is divided by 63046.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 535.7\nAnswer: 14999.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -421?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 > 318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.76942 to 1 decimal place.\nAnswer: -230.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3621 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2857 + 377 = -469*j - 701 + 1973 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 23*j**2 - 21*j - 23. Let v be f(22). Is 7 a factor of (1 + v + 1)*-5 - -627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 29*j**2 + 27*j - 35. Calculate q(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 179*q**2 + 2267*q - 1894. Determine k(11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4. Let i = l - 4. Suppose 88*h + 33 = 99*h. Put i, -20, h in decreasing order.\nAnswer: h, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165223921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 135 = 8*f. Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*u**2)*(-1 - 1 + 0)*(4*u**2 + 32*u - 32*u)*(0*u - 2*u + 11*u) + (-4*u**4 - u**4 + 4*u**4)*(6*u + 0*u - 2*u).\nAnswer: 140*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*h - 12 + 12. Sort -68, 2, h, -3 in increasing order.\nAnswer: -68, -3, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) -6 (c) 1\/6 (d) 1\/7 (e) 2729\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 4.22?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -105605.\nAnswer: -1689680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.078 + -0.078. Is 0.2 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45.2 + -40. Let d = 3.2 - x. Are -1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(3645)*-1)\/((sqrt(1296) + (sqrt(1296) - (2*sqrt(1296) + sqrt(1296)))*5 + sqrt(1296) - sqrt(1296) - sqrt(1296))*2).\nAnswer: -27*sqrt(5)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(0 + -1) - (-4)\/4. Let w be (2 - -13)*(1\/3 + y). Suppose -33 = -2*d + w. Solve -3*x + 0*v - 2*v = -d, 2*x = -5*v + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (-7 + 2)) + (-10 - -14) + -10.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2. Let r(p) = 916*p**2. What is s(r(u))?\nAnswer: 1678112*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:12 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 38327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 7, s: 9}. What is prob of picking 1 m, 1 s, and 2 z?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 4 = 5*f. Suppose 3*i + t - f = 0, 2*i + 3*t = -i + 18. Let b be (-1 - -3) + 40\/4. Solve 5*s = b + i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150 - 128 - (-74)\/(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -269555092*g*i**2*s + 151*g*i + 815*i*s - 42 wrt i.\nAnswer: -539110184*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173954, -14\/11, 2 in increasing order.\nAnswer: -173954, -14\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d56a2 (base 14) in base 5?\nAnswer: 112430241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*u - 6 = 0, 0 = -3*x + 4*u - 12 + 4. Let w(p) = -3*p**3 - 2*p**2 - 11*p + 17. Let s(v) = -v**3 - v**2 - 4*v + 6. What is x*w(h) - 11*s(h)?\nAnswer: -h**3 + 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 102 = 3462. Let i = h + -147. Solve -d = -a + 1, -3*d - 2*d + i = -a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 2655\/34 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1185492 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*((d**2 - 2*d + 2*d)*(6*d**2 - 3*d**2 - 2*d**2) + 2*d**3 - 2*d**4 - 2*d**3 + (-7*d + 2*d + 3*d)*(-2*d**3 - d**3 + 0*d**3)).\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/12 - (3 + 0). Suppose -8 = b*p + 5*y + 3, 2*p - 13 = 3*y. Let u(l) = 2*l**p - 43*l + 43*l. Let k(t) = -2*t**2. Give k(u(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 10) to base 4\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b - 15. Let d be o(6). Suppose -d*r + 120 = 2*r. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.4. Let g = -3.5 + o. Let n = 7 - 11. Which is the smallest value? (a) 0.3 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-3 + 6)) + 3 + -1 - (-6 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 76531, 153062, 229593, 306124, 382655?\n\"Answer: 76531*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = -4*u - 3*w, w - 636 = -5*u + 4*w. What is the least common multiple of u and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/381, -14, 19 in ascending order.\nAnswer: -14, 1\/381, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/50220*93)\/((-4)\/(-6))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 472165672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*l + 67. Let p(n) = -n**3 + 13*n**2 + n + 8. Let x be p(13). Suppose -g = -5*f - 4, 7*g = 4*g + 4*f - x. Is l less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5664860 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 10*k**2 + 10*k - 9. Let t be f(9). Suppose -60 = -t*x + 3*x. Let w be 8\/x*(-10)\/12. Which is the third smallest value? (a) 3\/5 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75295 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*j = -2*t - 9, -3*t + 5*j = -9. Solve 5*w + x = t*w - 14, -5*x = -w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/8*g**4 + 0*g - 11\/60*g**5 + 19*g**2 + 0 - 1\/120*g**6 - 5\/2*g**3. What is the lowest common multiple of x(-11) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24301\/2 + -12143. Let h = 367\/284 + -3\/71. Factor -u*z - 45\/4 - h*z**2.\nAnswer: -5*(z + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 19b?\nAnswer: 19e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/8049290 and -14\/1745?\nAnswer: 2809202210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2 - 1, -6 = 2*z - 4*y. Let k = 2 - -1. Suppose k*u - 6 = z*c, c = 3*u - 3*c - 4. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 41*n**7\/42 + 11*n**3\/2 + 38*n. Find the second derivative of x(y) wrt y.\nAnswer: 820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/(-8)*-4)\/((-212)\/3872710)?\nAnswer: 5, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 222*v**2 - 8599*v + 198. Determine b(-172).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(14\/((-154)\/(-33)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(4\/27))\/(6\/80). Let m = d - -211. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 + 3 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*a + 4*m, 0 = 92*a - 93*a + 4*m. Suppose -5*p + 2*p - 9 = 2*t, 0 = t - 5*p - 2. Put a, -6, t in ascending order.\nAnswer: -6, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 22. Calculate o(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-175*t - 838*t + 258*t + (3 + 0 + 3)*(0*t - 3*t + 4*t))*(-3*t + 4*t - 5*t**2 + 2*t**2).\nAnswer: 2247*t**3 - 749*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 11*t**4\/2 + 81*t + 116. Find the first derivative of h(s) wrt s.\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003387365 rounded to six dps?\nAnswer: 0.003387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42638\/19 - -2244. Which is the fourth biggest value? (a) -0.4 (b) 0.5 (c) k (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-252)\/(-90))\/(2\/10). Is 13 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u**3 + 120*u**2 + 105*u + 25 = 0. What is u?\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2921 less than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -3*l**5\/4 + l**4\/12 + 5*l. Find the third derivative of d(g) wrt g.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259935315 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -480. Suppose -465*u = -x*u + 3330. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 1, n: 11}. What is prob of picking 4 n?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 371 - 100. Suppose 0 = -3*u + 206 + n. What are the prime factors of u?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 6*g + 4*g)*(g**3 - 2 + 2) + 3*g**4 + g**4 - 2*g**4 - 2*g**4 - g**4 + g**4 - 3 + 3 + 2*g**4 + (1 - 2 + 2)*(-g**4 - 1 + 1) + g**4 + 5 - 5.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -193*h**2 - 3581*h + 328350.\nAnswer: -(h - 33)*(193*h + 9950)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 6)\/((-3)\/18). Let x = 25 + m. Solve -2 + x = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 47*w**2 - 8*w - 388. Give c(-47).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + h - 1 = 0, -3*h + 5*h = 4*s - 16. Let a(m) = -m. Let d be a(-2). Let t be 3*(-3)\/(-6)*2. Solve l = -d*l - s*b + t, -5*l - 3*b = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:34 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**4\/7 + 52*k**3\/7 + 192*k**2\/7 + 272*k\/7 + 128\/7 = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) + 4)**2)*-4 + 5*sqrt(175)*2.\nAnswer: 190*sqrt(7) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32680 and 47487080.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 64 = -z, -4*f - 3*z - 16 + 136 + 82 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1615 and 40741605.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 9:14 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.13 + -6.2. Let k = -0.07 - r. Let t be (-52)\/(-507)*(-6)\/(-4). What is the nearest to -0.1 in 3\/4, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9600 by 150.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v. Suppose 0 = 2*o - 5*o - c + 7, 2*c - 10 = -5*o. Suppose o = -5*a + 9. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.057 - -37. Let x = h + 0.057. What is the closest to -0.1 in 1, x, 3\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 4*f + 6. Let y be k(2). Suppose -1 = -y*g - 3*r + 2*r, 5*g = -2*r + 2. Sort 2\/7, 0.04, g in decreasing order.\nAnswer: 2\/7, 0.04, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.481 + -18.55754. What is d rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 0*i**2 + 109 + 0*i**5 + 9\/2*i**6 + 0*i - 3\/2*i**4 + 191\/3*i**3. Find the third derivative of n(t) wrt t.\nAnswer: 1620*t**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/30)\/(298\/28 - 10). Let x be 5\/(-12)*44\/50. Let a = x + h. Does 0 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51638*m**2*u + 669*m*u - 85815229*u wrt m.\nAnswer: -103276*m*u + 669*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 1361 + 1363 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7066926 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 10905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 124.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 3*n - 1. What is the units digit of h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**17)**(25\/2) assuming r is positive.\nAnswer: r**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) + 4 - sqrt(320)) + sqrt(320) + sqrt(320))*2 + sqrt(320))**2*-4.\nAnswer: -32256 - 2560*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in -56\/9, -0.4, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, t: 1, s: 4, y: 1}. Give prob of picking 1 y and 1 t.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/23532 and -31\/4413027.\nAnswer: 935561724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*x**3 - 2*x - 871*x**3 + 1 - 536*x**3 - 421*x**3.\nAnswer: -1720*x**3 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, o: 3, g: 9}. Give prob of picking 1 o and 1 g.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*b + 4, 2*u + 4*b + 4 = -4. Let j be (42\/(-8) - -2)\/((-51)\/1836). Suppose 2*d - j - 25 = u. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/21 and 38\/4417.\nAnswer: 13251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19153344 to the nearest integer?\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 456 and 2.08?\nAnswer: 453.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -777\/2 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 14*k**2 - 17*k + 22. Let g be a(15). Let s be (-8)\/(2*1\/g). Suppose -2 + s = -6*t. Sort t, -4, -2 in descending order.\nAnswer: -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 29 = 15*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*t + 3*f + 5 = 117*t, 2*t + 2*f + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*c = -624, -56*z + 51*z + 630 = 5*c. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l - 3*l**2 + 2*l**2 + 4*l**3 + l**4 + 0*l - l**2 to the form o*l**3 + z*l**4 + n*l**2 + a*l + s and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 55. Sort -0.4, 5, 3, m in descending order.\nAnswer: 5, 3, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -64\/5 (b) -36 (c) 13\/2 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -5\/9, 2\/15, -10, 1, -1\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18.64686 kilometers?\nAnswer: 18646860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 7*m**2 - m - 1. Let l(h) = -4645*h**3 + 26012*h**2 + 3716*h + 3716. What is -3716*g(a) - l(a)?\nAnswer: -2787*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*d = 26*d - 52*d - 600 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219710 or 219712?\nAnswer: 219710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*l + 561*l = -4*m + 16, -4*m + 2*l = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*1)\/((-258)\/(-129))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273170 is divided by 242.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -70507, -70466, -70427, -70390, -70355, -70322, -70291?\n\"Answer: -s**2 + 44*s - 70550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28762983 and 2088?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 - 5*k + 5*k)*(22 - 22 + k) + (4 - 4 + k)*(-k**2 - 4*k**2 + k**2) in the form f + a*k**3 + y*k**2 + l*k and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1328 - -1426. What is the smallest common multiple of f and 42?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 39*p - 16*p + 572 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34762.455 - -34608. Let k = -153 - d. What is k rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 + 3 = 0. Suppose -4*z - 4*u + 12 = 0, 4*z + 5*u - l = 11. Calculate the common denominator of z\/8 - (-159)\/20 and -25\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = -4. Suppose -3*z - 3*m + y = 0, -5*z + m = -4*z. Let o = 21\/4 - 55\/12. Is z less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5462 is divided by 1351.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 2*m - 11*m**2 - 659*m**3 + 657*m**3 - 4*m to x*m**2 + q*m**3 + k + b*m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23433 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7 - d**2 - 424*d**5 + 10*d**2 - 8*d**2 + d**2 wrt d.\nAnswer: -25440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22101201 (base 5) to base 10.\nAnswer: 190801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-43)\/(2580\/(-30)))\/(1\/6))\/(-18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 73 = 5*d, -4*q + 60 = 3*d - 19. Let c be -6*3\/(9\/q). Let v = 286\/9 + c. Do v and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.3, -1\/2, -4\/5, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m + 0*m)*(26*m + 180 - 135 - 89).\nAnswer: 52*m**2 - 88*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 12. Suppose 2*c - 6 = 0, -w*c + 231 = 32*b - 29*b. What is the lowest common multiple of b and 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:54 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -518.1 plus -1665.9?\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:32 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 - 0.4. Let p = o - -3.96. Which is the closest to p? (a) -2\/3 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1 - -2) + -3. Suppose 4*g - g - 12 = q. Suppose 0 = -842*v + 325*v + 4136. Calculate the highest common divisor of g and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51111972 and 55188.\nAnswer: 7884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*v**2 + 41\/4*v + 10.\nAnswer: (v + 1)*(v + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*r + 12 = 513*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 j when three letters picked without replacement from {l: 4, t: 10, g: 1, j: 5}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7405013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 5.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 4, n: 14}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1607.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453848105 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 7*h**2 - 8*h - 9. Let t be v(-6). Let q = t + -5. Let x be (-1 + (7 - q))\/1. Solve -7 = -z - l, 0*z + x = -z + 2*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*v + 6*v - 2, 4*z = -v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = k + 42 - 10, 0 = 3*k + 15. Let v(n) = -40*n + 1. Let l be v(3). Let g = -67 - l. What is the remainder when g is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let w(k) = -22*k + 2602. Let f(r) = 5*r - 650. Let h(u) = 9*f(u) + 2*w(u). Calculate z(h(j)).\nAnswer: -j + 646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w + 5*v = 20*w + 55170, -v - 33082 = -3*w. What are the prime factors of w?\nAnswer: 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1590 = 107*w - 35*w + 246*w. Which is the nearest to -1? (a) -5 (b) 17 (c) w (d) 0.019\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*p + 20 = 37*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 119248415 rounded to the nearest 10000?\nAnswer: 119250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p + 4. Let t = -2.03 - -0.03. What is the second smallest value in t, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fziph. Give prob of sequence hfz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, z: 4, f: 2, l: 3}. What is prob of picking 2 y and 1 z?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 r, and 1 a when four letters picked without replacement from avhafaaaharrnvrfrvh?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165 - 254.5. Let l = -90 - q. What is the third biggest value in -2, 9\/2, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41bb + -18a0?\nAnswer: -5a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -1)*(-82)\/1. Suppose 2*g + 2*n - l = 0, -2*g + n + 107 = -2*n. Suppose -g = -5*r - 2*t, 3*r - 18 + 3 = 3*t. Solve 25 = -r*y + 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 335, -68.\nAnswer: -68, -9, -4, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l + 12. Let k be 4\/(-2) - (-1 + 5). Is b(k) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/(-72) - (-10)\/(-45). Let w = 0 + 0. Let x = 0.1 + -0.3. Which is the closest to w? (a) 0.3 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c6 - 841?\nAnswer: -1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -u - 4*u. Suppose -u*r + 10 = -26. Calculate the highest common divisor of r and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40777\/6 + -6812. Let f = -849\/82 + -6\/41. Calculate the common denominator of f and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(sqrt(288) + sqrt(288) + -1) + 0 + 0)**2.\nAnswer: -288*sqrt(2) + 10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-989)\/(-575))\/(514\/(-2570)).\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71285*u**4 - 16*u**3 - 1194944*u**2 - 3*u.\nAnswer: -1710840*u - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -738267 divided by 7611\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -167, -1079 in ascending order.\nAnswer: -1079, -167, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x**2 + 17*x**2 + 27*x**2 - 77*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031 - 2?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3 - 8 + s - 13. Let u be i(14). Which is the second smallest value? (a) -3 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)\/u)\/(u*u**12*u*u*u*u))**(1\/7) assuming u is positive.\nAnswer: u**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 7*t**2 + 7*t - 5. Let h be y(-7). Let x be 0 + 2\/(-4)*h. Let j = 1 + -1. Solve 5*f - x = -2*p - 0*p, j = -4*f + 5*p + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 6*v**2 + 20*v + 83. Let q be a(-7). Let u be (-10)\/(-15)*126\/8*2. Let l be 3\/(12 - 3) + 2\/u. What is the nearest to 1 in -3\/2, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1853 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 541996 divided by 4?\nAnswer: 135499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**2 + 1\/12*h**4 + 0*h**3 + 0 - 4*h. Let g(i) = 4*i. Calculate y(g(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -6. Calculate the remainder when 25 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 5*i**2 + 4. Let u be p(5). Suppose -2*m + 1 + 5 = 0. Let l(h) = -10*h + 67. Let s be l(6). Solve -m + s = -u*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*m - 0*z - 59, -37 = -4*m - z. Suppose -2*u = -5*u. Let k = u + m. Solve -30 = -l + 5*t, 0*t = -2*t - k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*3\/(-216))\/(8*15\/(-1080))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 49 + 6. What is the second smallest value in -2\/7, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**5 + 8*r**4 + 24*r**3 - 32*r**2 - 20*r + 24 = 0?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015233 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/45, -19, 5.161, -0.5?\nAnswer: 5.161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/1 - (-1 - 2). Let p = 10 - -10. Suppose r*g = 4*g - 3*c + p, 3*c - 5 = 2*g. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oob when three letters picked without replacement from {b: 1, l: 2, o: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - x + 967 = -1115, -4 = x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -51. Solve 6*u = 3*u + a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -17*g**3 + g. Let o be h(-1). Let n be o\/(-12)*3\/(-2). What is the second derivative of 21*s - 5*s**2 + 5*s**n + 20*s**4 - s**4 wrt s?\nAnswer: 228*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 713, 2374, 5593, 10886, 18769, 29758, 44369?\nAnswer: 63118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9\/h**(-7\/5))**(-21\/4) assuming h is positive.\nAnswer: h**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/72 + 1\/(-2). Which is bigger: -5.16 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34117 - -85668. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/19 and -43\/73.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 169. Suppose 4*w - 59 = -5*g, -2*w + 33 + 3 = -4*g. What is the greatest common divisor of w and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 85*z + 2528. Give j(-30).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209 + -206. Which is the closest to -1\/8? (a) j (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose z = 5*w - w - 12. What is the units digit of (-4 + 51\/9)\/(1\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10193605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3951 divided by -4?\nAnswer: 3951\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 76.\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 33*c - 3*c.\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 541589308 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h - 6. Let p(k) = -3*k + 15. Let u be p(3). Calculate the common denominator of ((-52)\/h - u) + (-1)\/(-2) and 73\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 48 = -36. Find the first derivative of -3*u**4 - 5*u**o - 142 + 131 wrt u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from {k: 4, y: 1, m: 2, i: 1, s: 3, u: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18555 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*s**2 + 8*a*s + 90321099*a - 44868*s**2 - 5*s wrt s.\nAnswer: 2*a*s + 8*a - 89736*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a + 15 - 50 - 7*a**3 + 9*a**2 + a**2 - 4*a**2. Is p(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*(j**6*j)\/j)\/(j*j\/(j*j**(1\/8))))**(-3\/7)\/((j**(-2\/3))**(-3\/14)*j**1*j*j*j\/(j\/j**3)) assuming j is positive.\nAnswer: j**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 8. Let v(m) = m - 6. Suppose -x = -4*x. Let i be v(x). What is the remainder when 4 is divided by g(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1459 in 2\/5, -0.1, -26, -5, -0.04?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/6)\/((-3)\/(-6)). Suppose -3*c + t*u - 19 = 0, c = -0*c - 4*u + 5. What is the smallest common multiple of 22 and c\/2*(-12)\/9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one halves of a century?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 254475 and 81?\nAnswer: 763425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 315 = 3*l - 25*t, 396*t - 388*t + 521 + 325 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 33*s - 4 - 42*s + 2 + 63*s**2 in the form z + c*s + o*s**2 and give o.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450960.\nAnswer: 2, 5, 7, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 29*j**3 + 4*j**2 - 8*j + 1. Let r(a) = -a**3 - a**2 + a. What is -f(w) - 5*r(w)?\nAnswer: -24*w**3 + w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kakh when four letters picked without replacement from dbdabbddhhkdbkbbbbkh.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998651289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 7*x**2 - 11*x - 7. Let k be 1 + (-2 - 0) + 25. Suppose 2*m = -3*a - k, a + 5*m - 8 = 2*a. What is the units digit of q(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 521122 (base 7) in base 5?\nAnswer: 10323440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179050?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 1. Let o(y) = 5*y. Suppose -4*w - 6 = 10. Let x(i) = w*h(i) + o(i). What is x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44753953151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5537*p = 110019 + 60817 - 60096 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -224 in 0.02, -0.1, 3\/265, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11088749 by 679.\nAnswer: -16331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-171)\/(-6) + 3 + 4. Let m be ((-1)\/2)\/(6\/(-132)). What is the greatest common divisor of m and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2\/5 + 1424*j\/5 + 38272 = 0. Calculate j.\nAnswer: -104, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005102 to four dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2412 divide 1111192641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enpnrrnnplxxppxrprrp. Give prob of sequence rr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**3 + 320*d**2 - 3900*d = 0.\nAnswer: 0, 15, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3 - 6. Suppose s*l = 42 + 39. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1134664 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-48)\/30)\/((-7)\/((-140)\/(-8))). Let y(x) = 133*x - 65*x - 69*x - z. Determine y(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 82, 133, 184?\n\"Answer: 51*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 5, j: 6}. What is prob of picking 3 s?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -7*i + 189. Calculate the remainder when 896 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 + 15*h**2 + 6*h + 8. Let m(c) = -5*c**3 - 13*c**2 - 5*c - 6. What is 4*m(d) + 3*w(d)?\nAnswer: -14*d**3 - 7*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -158688 divided by 114\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 337 times 1\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7557, 15074, 22547, 30000, 37457?\n\"Answer: 4*i**3 - 46*i**2 + 7627*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-4)*(-2)\/(-9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4 + 0 + 2 + 2*u + u - 4*u + (0*u - u - u)*(6 - 1 - 1))*(79*u**3 - 38*u**3 + 95*u**3).\nAnswer: -952*u**4 - 272*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8*4\/56*(-15)\/30\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36.2? (a) -1 (b) -0.1 (c) 0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16*882\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 62*z**2 - 211*z + 1154. Determine f(65).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 0*z**2 - 2*z**3 + z**2 - 3*z**3 + 4*z**3. Let p be v(-1). Find the second derivative of x - p*x + 5*x**5 + 5*x - 4*x**5 wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(1 + 2 + -35). What is the common denominator of 0\/(-2) + (-145)\/(-70) and ((-1)\/t)\/(6\/(-156))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12790402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 1 + 3. Suppose -o*l + 7*l = 385. Suppose 2*s + l = 735. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-97)\/2)*20734. Suppose -5*q + 3*q - 10 = 0, 2*p - 3*q - w = 0. Suppose 6*a - 1699526 = -p. What is a rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f + 8. Let v(o) = 8*o + 9. Let y(b) = -4*j(b) + 5*v(b). Differentiate y(q) with respect to q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.5, 2, 5, -2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from qyqhhlyqhqqhhqyhd?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18010 from 1.5.\nAnswer: -18008.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2 + 2 + (0*s + 4*s - s)*(s - 2 + 2).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2 and 18\/641.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 5*z - 30)*(4*z**4 + 0*z + 0*z) + 10*z**2 - 2*z**4 - 5*z**5 + 2*z**5 - 11*z**2.\nAnswer: 17*z**5 - 2*z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6324 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2428*k**3 + 2806*k**2 - 9*k. Let j(m) = -2428*m**3 - 2809*m**2 + 12*m. Let i(f) = -3*j(f) - 4*n(f). Find the third derivative of i(u) wrt u.\nAnswer: -14568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**4 - f**3 - 3*f - 1. Let s(l) = 11*l**4 - 31*l**3 - 45*l**2 + 147*l - 94. Let m(q) = -4*c(q) + s(q). Solve m(n) = 0.\nAnswer: -3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*n + 3*v, v = 8*n - 3*n - 61. Suppose -12*t = -0*t - n. Let i be t\/(-4) - (-3 + 480033\/12). Round i to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86921, -86907, -86893, -86879, -86865?\nAnswer: -86851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c - 7*c + 5*c. Let r(p) be the second derivative of 11*p**3\/3 + 16*p. Let a(f) = 7*f. Let o(l) = 16*a(l) - 5*r(l). Calculate z(o(h)).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-2 - (-8)\/4). Let j be ((-50)\/(-8))\/(x\/8). Let w = j - -25. Which is greater: w or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 253, 361, 469, 577, 685?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/14 (b) -0.1 (c) 0.1 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 66\/1501?\nAnswer: 66\/1501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j - 7. Let x(i) = -3*i + 60. Let g be x(19). Let q(z) = -3*z + 6. Let l(m) = g*q(m) + 2*r(m). Give l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-9))\/(1\/27). Let 4*d**3 + d**3 + 2*d**3 - 12 - d**3 + 27*d**2 - r*d**4 = 0. Calculate d.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -1\/2, 15, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 3338268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 5846750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6632*w**3 + 6841*w**3 - 20309*w**3 + 6838*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**3)\/((u*u\/(u**(-1\/4)\/u)*u)\/u))\/(u*u*u**(-2\/9))**(1\/33) assuming u is positive.\nAnswer: u**(-6301\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203 - -203. What is the second biggest value in k, -3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*s + 15*s**3 - 407*s + 133*s + 131*s.\nAnswer: 15*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/5 - 3583*l**4\/5 + 494772*l**3\/5 + 2022052*l**2\/5 + 2036368*l\/5 = 0. Calculate l.\nAnswer: -3716, -2, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12*f**(-15))**(-14\/5) assuming f is positive.\nAnswer: f**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/1802 - 1805\/5406. Which is the closest to -2\/5? (a) -12 (b) 0.5 (c) 1\/5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7*n - 16 = -2*n, -5*z = -5*n + 5. Which is the nearest to -1? (a) z (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 509750 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*(2 + 12\/(-8)). Let r be (-3)\/z*32\/(-4). Suppose r*m - 393 = 3*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 + 99. Suppose n*c - 167 = 8. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40328\/(-1065))\/142*(-255)\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (386*g - 144*g + 6*g)*(-2*g - 1 + 1) + 4*g**2 + 0*g**2 - 5*g**2.\nAnswer: -497*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19954 divided by 11?\nAnswer: -1814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0*p**5 + 0 - 7\/24*p**4 - 3*p**2 + 1\/120*p**6 + 0*p + 0*p**3. Find the second derivative of c(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 118461?\nAnswer: -1\/16923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1388582654 plus -86?\nAnswer: -1388582740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4 - 0. Let i = q + -3. Is 159\/(-2)*i\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhmmbymybhmmmmhhxhm. What is prob of sequence yh?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 1056000512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*n - 120953*h - 1379*n - 90 wrt h?\nAnswer: 2*n - 120953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5858718?\nAnswer: 2, 3, 976453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 261 - 266 = 0. Suppose -92 = -r*a - 18*a. Solve x - 12 = a*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {z: 3, d: 8}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -587\/7 + 83. Suppose 0 = -3*d + 9, 34 - 10 = 3*o + 3*d. Suppose w - 4*c + 13 = 0, 4*w + 2*c + 13 = o*c. Do q and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 plus 713?\nAnswer: 713.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 5*x**3\/3 + 2*x**2 + 4. Let w(o) = 3*o**2 + 2*o. Let d(h) = -6*b(h) + 11*w(h). What is the second derivative of d(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 950 + -913. Suppose s = -2*a + 27, -5*a - s = 4*s - 70. Let t = o - a. Solve 5*z + t = -4*p + z, -4*z = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 53. Let o(d) = -2*d - 34. What is the remainder when a is divided by o(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - r - 12 = 0, -4*q - 2*r = 3*r + 36. Let s = q + 7. Solve 0 = -s*z - 0*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.1 + -18. What is the closest to w in -4, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3335 - 304?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4629 (base 10) to base 4.\nAnswer: 1020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -933*z + 6532. What is v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 1, 18 in descending order.\nAnswer: 41, 18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*c**2 - 7*c - 267*c**2 + 7*c + 0*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 1, u: 3, r: 2, h: 1, q: 3}. What is prob of picking 1 h and 1 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + -8 + -8 + 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5)\/z**(-5\/2))**(-14))**(1\/42) assuming z is positive.\nAnswer: z**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t + 1. Let o be m(-2). Let w(b) = 4*b**2 - 23*b - 3 + 16*b - 3257*b**3 + 3258*b**3. Determine w(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-23)*s)\/s)\/s)\/s*s**(1\/9)*s*s)**(-18) assuming s is positive.\nAnswer: s**394","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((8\/2)\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/4*(7*3\/3)\/(730\/1825)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/54277 (b) 698\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/10 and 35\/61.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {h: 6, z: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = s - 5*v - 156, 2*v = 2*s - 546. What are the prime factors of s?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/15 - 14*a\/5 - 48\/5.\nAnswer: 2*(a - 24)*(a + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/60)\/((-129)\/((-39345)\/(-1342))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43709617 = 43709613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 213?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011518 is divided by 28096?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 2, p: 1, n: 2}. Give prob of picking 1 u, 1 p, and 2 n.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/((-2976)\/(-36)))\/((-3)\/92)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -940 by -4.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, y: 1, d: 1, l: 7}. What is prob of picking 3 p?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 5 (c) -2\/11 (d) -3\/20 (e) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, -1.26, -1489, 5?\nAnswer: -1489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13281 + -7074. What are the prime factors of r?\nAnswer: 3, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1501*s**3 - s**2 + 132*s + 133. Determine a(-1).\nAnswer: 1501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421, 250, 17, -308, -755, -1354, -2135, -3128?\nAnswer: -4363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 6312964*b + 50503456.\nAnswer: 4*(b + 8)*(b + 1578233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9381 + 4689 + 4692 + 2994*t - 10621*t.\nAnswer: -7627*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(192) + -4 + -2*sqrt(192) + sqrt(192))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:32 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 845213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - 4*(sqrt(33)*1 + sqrt(33)))\/(sqrt(176)\/sqrt(4)).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65230 and -0.1.\nAnswer: -6523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2 - 331428*m + 7290448 = 0.\nAnswer: 22, 165692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2526 and 4983432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-22\/5)*y*(y\/(y\/(y*((y\/(y*y**(8\/7)))\/y*y)\/y))*y)\/y)**38 assuming y is positive.\nAnswer: y**(-6042\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hii when three letters picked without replacement from hhhihnzsiz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9518961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5) + (710\/(-75) - -4) + 5. Which is the nearest to -0.13? (a) 0.4 (b) 0.16 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 11401*g - 11402.\nAnswer: (g - 11402)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b + 25. Let h(q) = 19*q**3 + 2*q - 1. Let v be h(1). Let l be (-6)\/(-15) - -74*(-2)\/v. What is the units digit of r(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) -4 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/24 - 7*u**3\/6 + 15*u**2. Let p be 9\/(-6)*(-5 + -1). What is the units digit of v(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(125) + sqrt(125) + (sqrt(125) - (-4 + sqrt(125) + (-2*sqrt(125) - sqrt(125)))))*-1 - ((2 + sqrt(125))*-4 + 1 + 5))**2.\nAnswer: 30*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2827 - 940 - 942 - 945 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1234 - -465?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let o = -1.69 - -1.62. Let z = -0.43 + o. What is the closest to 1 in z, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/47016 and -77\/2836.\nAnswer: 33334344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.6704 centuries in months?\nAnswer: 556404.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -0.5 (c) -0.06 (d) 126 (e) -1\/4 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 959742, 959743, 959744, 959745?\n\"Answer: l + 959741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 4*y - 2*y**2 + 2*y**2 + 5*y**2.\nAnswer: 15*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190 - -198. Let n(g) = g**3 - 8*g**2 + 2*g + 12. What is the remainder when n(j) is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 + 2 = 0. Let a = -21\/4454 - 4912489\/57902. Let d = a + 85. Which is greater: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2446323 + 878*r**2 + 2446323 + (-2 + 1 + 0)*(2*r**2 - 2*r**2 + r**2) as v*r + h*r**2 + i and give h.\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39994 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l + 10 = -5*y, -19 = -3*l - 4*y. Let j(q) = 13*q - 13. Calculate the least common multiple of j(l) and 40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jblrbws. What is prob of picking 1 w and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14098015 is divided by 162046?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142086691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 13 = -16*l - 2*p, -5*p - 16 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400597 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 times -101?\nAnswer: -59186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 3)*(5 - 30\/5)*-4. Let s be (1 + (-21)\/15)\/1. What is the nearest to -0.3 in -2\/7, s, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2859336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2, -4.\nAnswer: -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*c - 3 + 199, 4*k + 4*c = -172. Put -2, 3, 0, k in increasing order.\nAnswer: k, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 242*h**2\/3 + 8312*h\/3 - 17600\/3.\nAnswer: (h - 2)*(h + 44)*(h + 200)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - v = 16, -4*i - 3*v - 13 = 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/85?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 7*f + 2. Let n be m(-7). Let h be 2\/n*(-7 + 6). Let b = -23 + 35. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 14. Give w(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 21 (b) -2 (c) -7\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -346.15 + 365. Let a = -0.85 + y. What is the fourth biggest value in -1\/4, 2\/3, a, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 6 - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 4. Let z be i(4). Find the third derivative of -4*x**4 + x**2 + z*x**4 - x**4 wrt x.\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 27. Let o(m) = 2*m**2 - m. Calculate o(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 77634208\nAnswer: 388171040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7 - 25)*(-2*m + 3*m - 2*m + (3 - m - 3)*(3 - 4 + 2)) + 4*m + 4*m - 4*m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j + 25*j - 1 - 21*j + 16*j.\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6855 - -7323. Calculate the smallest common multiple of d and 450.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let j be f(-3). Suppose -1 = -5*i + m + 3, 0 = i + 4*m + 16. Solve -5*d - 5*k - 15 = i, 0 = d + j*k + 1 - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 49 - 126 = 0. Suppose -u*t - 10 = -27*t. Solve 7 = b - z + 3, -b - t*z = 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 5. Let h(d) = -1. Let x(k) = -b(k) + 2*h(k). What is the tens digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(0 - -1) + 5. Find the second derivative of p*x - 10*x + 5*x + x**5 wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-144)*88\/770.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -0*t - 24. Let k(z) be the first derivative of -2*z**4 + 6*z**2 + 0*z**2 + z**t - 8*z + 3. Factor k(o).\nAnswer: -4*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q = -4*t - 334, 0 = 5*q - 8*t + 297 - 603 + 243 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7795240 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/2 + 89529*w**4\/2 + 179043*w**3 + 268557*w**2 + 358071*w\/2 + 89517\/2 = 0.\nAnswer: -29839, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1608 and 578076?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 2038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(68) + -4 + -4)*-6.\nAnswer: -12*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -416 * 15.62\nAnswer: -6497.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3009 or -12035\/4?\nAnswer: -3009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-910)*2)\/((10\/35)\/1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - ((2 + (sqrt(275) - (-2 + sqrt(275))) - sqrt(275))**2 - sqrt(275))) + sqrt(275).\nAnswer: -291 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6765?\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-654)\/1)\/(-5 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 175*i**2 - 28*i - 121. Let s be p(-5). Calculate the highest common divisor of s and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -0.4, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 5*t**3 - 7*t**3 + 6*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -17 + 5. Let u be (-8*3)\/((-78)\/63*-7). Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 676 - 491. What is the remainder when j is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1305 divided by -5.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35586.1 rounded to the nearest one hundred?\nAnswer: 35600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5210*a = -5203*a + 10377*a - 324 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 10 + 29*o + 19*o + 10*o + 10.\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 79950 (c) 2\/3 (d) 1 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s + 25. Let o(g) = 4*g + 12. Let u(y) = -3*j(y) + 7*o(y). Let p be u(-5). Suppose 3*b - 5*b = -p. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 7:27 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 14*o**2 - o**3 + 3*o + 15 - 3*o**2 - 14*o. Calculate z(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248331 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -578384 divided by -196\nAnswer: 144596\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/((-20)\/18))\/(-3). Let r = -7 - -3. Let i = -89 + 87. Which is the smallest value? (a) r (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 65*z - 229893. Determine c(248).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.607261l?\nAnswer: 4607.261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fii when three letters picked without replacement from {n: 3, f: 4, r: 6, g: 2, i: 2}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13835137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98.90621 - -1.91921. Let i = f - 0.013. Let k = 96.6 + i. What is the nearest to 2 in k, 1\/4, -2\/17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from tgbjgttrttmrrbgbgbt?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20806 + 10386 + 34342*h + 10421 to the form j*h + k and give j.\nAnswer: 34342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 2. Let o be h(-2). Differentiate -2 - 1 + 0*b + o*b + b with respect to b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299731834?\nAnswer: 2, 3413, 190409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 3) in base 16?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5*b**(-2\/5)*b*b*(b**(-2\/7))**(3\/17)*(b\/(b**(-9)*b)*b**(-7))**(2\/79) assuming b is positive.\nAnswer: b**(310243\/47005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -8, -11, -1\/8, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*6 + 2.\nAnswer: 2 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 896 = -3*g, g - 448 = -2*t. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2286, -4478, -6670, -8862, -11054, -13246?\n\"Answer: -2192*l - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -74, -63 in descending order.\nAnswer: -7, -63, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (3 + -3 + sqrt(475)*3 + sqrt(475) - 3*(sqrt(475) - -6*(sqrt(475) + 0))))*5)**2.\nAnswer: -34000*sqrt(19) + 13727900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/i**(-31))\/i)*i*i\/(i*i**(-3\/16)*i))**20 assuming i is positive.\nAnswer: i**(-2385\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 0 + 1)*(-3*m + 0*m + 2*m) - 4*m + 3*m + 3*m)*(2*m**2 - 2*m + 2*m) + 2*m**3 + 4*m**3 - 3*m**3 to the form v*m + u + g*m**2 + i*m**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -0.06, 2\/151, 0.04, 1\/4 in descending order.\nAnswer: 1\/4, 0.04, 2\/151, -0.06, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + 4 - -3) + (-11)\/1. Let b be ((-6)\/(-8) - 2)*z\/35. Factor -15\/2*g**2 + 0 - 7\/2*g**3 - 9\/2*g - b*g**4.\nAnswer: -g*(g + 1)*(g + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -10*i - 9. Give r(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -136 - (-38 + (-114 - -62))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-17))\/(m*m*m**2\/m))\/(m**(-7\/6)\/(m\/m**(-1\/9))) assuming m is positive.\nAnswer: m**(311\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 + -15)*2\/(-5). Suppose 3*o - 2*p = 55, -z*o + 0*p = -4*p - 26. Calculate the highest common factor of o and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 171 = 17*c. Are 10 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 24*o + 29*o - 2*o**2 - 53*o. Let h(b) = -4195*b + 2 + 0 - 2 + 4531*b. What is h(s(y))?\nAnswer: -672*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2*c + c)*(-1 + 2 + 0)*(3*c - 6*c - c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4525461?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-10)*290\/812. Is v < -758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -41*h**3 + 4*h**2 + h - 9. Let u(j) = -21*j**3 + 3*j**2 + j - 5. Calculate 3*k(w) - 5*u(w).\nAnswer: -18*w**3 - 3*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 133946846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x = -x. Let f(z) = z**2 - z + 2. Calculate f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16978 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 4:37 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1172823 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 264 = 4*q, -5*y = 3*q - 55 - 150. Calculate the highest common factor of 156 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/2 + (0 - -2). Let i = -36 + o. Let x = i + 28. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.483*0.1\nAnswer: 2.4483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2873*b**2 + 72*b - 14. What is a(1)?\nAnswer: -2815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 10:05 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxzggxuxuizuxuxxxexu. Give prob of picking 1 e, 1 u, and 1 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -0.4877?\nAnswer: 7.8032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30543062141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 960 * -3.35644.\nAnswer: -3222.1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -172, -442, -820, -1306?\n\"Answer: -54*n**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:10 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + -393.\nAnswer: -392.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4529*d = 4532*d - 79863. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r - 6. Let a(i) = -10*i - 9. Let o(z) = -5*a(z) + 7*v(z). Let d be (-18)\/12*(-160)\/(-24). Let g(h) = 11*h + 110. Let y be g(d). Determine o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 2. Suppose 3*s + 3 = 12. Suppose -9 = -s*n + 3*x, -8*n - 4*x + 15 = -3*n. Suppose 57 + n = -10*y. Give j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-20)*(-6)\/(-72))\/((-12)\/80)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-51) - (3 + -12)) + -7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.5241 + 1.4759. Which is the nearest to 0? (a) -5 (b) -10 (c) n (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7132 + 20291. What are the prime factors of d?\nAnswer: 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(6\/1))\/(12\/(-96)). Suppose -105 = 4*q + 27. Which is the smallest value? (a) 1\/7 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140.615 + 128.07. Round h to 1 decimal place.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.4, 7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 883087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269 - 201*n**4 - 412*n**3 - 12*n**5 - 304*n**2 - 307 + 53*n**4 + 468*n**2 + 984*n = 0.\nAnswer: -8, -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 3 = -10*x. Let g = 2 - -2. Sort x, g, -2 in decreasing order.\nAnswer: g, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 6*p**2 + 9*p - 58. Let j be q(6). Let x be (-44)\/(-6)*2\/j - -4. Is 8\/3 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185748834 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 365291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 + -21 + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 4598590*y**2 - 1057351499405*y.\nAnswer: -5*y*(y - 459859)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/3, 294 in ascending order.\nAnswer: -1, 2\/3, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-12)\/8*10. Suppose -3*a - 15 = -3*f, -1 + q = a + 5*f. Let n(c) = 2*c + 1. Calculate n(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 52492?\nAnswer: 52492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1758 + -215?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = x - 15, 3*x - 8*g + 4*g = 46. Calculate the remainder when x is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26840 divided by -1342?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-313)\/(-4) - -3 - (-30)\/(-24). Calculate the highest common factor of u and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10a19 (base 12) to base 10\nAnswer: 22197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-105)*(-154)\/(-132). Let i(h) be the third derivative of 0*h + j*h**5 - 4*h**2 + 0*h**3 + 0 + 1\/36*h**4. Suppose i(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-6\/5)*p)\/(p**(-22)\/p)*(p*p**18\/p)**33 assuming p is positive.\nAnswer: p**(3094\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -3)*2\/1. What is the second derivative of 17*g**s + 49*g**2 - 101*g**2 + 14*g wrt g?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -955 - -0.5.\nAnswer: -954.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 81233 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j - 26*j**2 - 118*j**2 + 8*j + 25*j**2. Let m(z) = 3*z. Calculate v(m(x)).\nAnswer: -1071*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 12\/10)\/(2\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2758772 + -6?\nAnswer: 2758765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2. Let u(k) = 27*k - 15*k - 13*k. Give u(i(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1537612016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 105, 212, 345, 504, 689?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 5 (b) -1\/2 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -21. Let r be (12\/7)\/(i\/(-42)). Suppose 9 = b - r. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*l + 3. Let t be (-6)\/l + (-22)\/(-4). Let v = t + -2. Solve 0*f - 6 = -v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291*k - 1288*k = -2*o - 8, 4*k - 5*o = -26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:21 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2 - 24*a - 4*a - 26*a + 17*a. Let i be h(-2). Suppose 5*u - 23 = i. Calculate the remainder when 36 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00263732136 to seven decimal places.\nAnswer: -0.0026373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-22) + (-8 - 10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 89923710, 89923709, 89923708, 89923707?\n\"Answer: -n + 89923711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 10*s = -215, -287*a + 277*a + 33 = s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -6\/65 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 8*a**2 - 6*a + 16. Let h be i(7). Suppose -8713 + 1790 = -h*c. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + g**2 + g. Let q(i) = -7*i**3 + 4*i**2 - 5*i + 5. Let j(d) = q(d) + 6*z(d). What is the units digit of j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493784 a multiple of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 = -2*h, 5*h - 2 = 3*v + 9*h. Suppose v*k - 70 = -62. Suppose -16 = -4*j - 0*j. Solve -8 = -k*m + j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014894 to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -3*l**4\/8 + 3*l**2. Let w(z) = 0*z**2 - 5*z**2 + 3*z**2 + 3*z**2. Calculate w(o(c)).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 21 - 11 + a - 12 in the form t*a + c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**5*g**(-2\/21))**10 assuming g is positive.\nAnswer: g**(1450\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 174121.01 days?\nAnswer: 24874.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 64. Suppose 0 = w - 4*s + b, w - 4*s + 32 = 4*w. Solve -w*u = -u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14049376049\/308 - -45615149. Let r = c - 1167\/4. What is the common denominator of r and 79\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:17 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3039682\/(-194694) - (-6)\/(-111).\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g = 0. Suppose g = -3*q - 3*w - 99, -5*q - 4*w = 87 + 76. Let s = -12 - q. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 + 2*x - 94)*(-2*x**2 + 3 - 3).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5486, -5484, -5482, -5480, -5478, -5476?\nAnswer: -5474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*o - 5*o**3 - 10*o - o**2 + 8*o**3 + 4*o**3 + 11*o in the form f*o**3 + g*o + p*o**2 + r and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-352)\/(-44)*1\/(-2)*(-15)\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1817\/348 + -5\/174. Let l = -113\/20 - k. Let s be (13\/52)\/((-7)\/(-8)). What is the nearest to s in -1\/7, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 + 160844*x\/3 - 321682.\nAnswer: -(x - 321682)*(x - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 8a3d522?\nAnswer: -8a3d523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 8:32 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*z + 34 = 0, -2*j + 44 = -6*j + 4*z. Let u = -7 + 12. Put -5, u, j in ascending order.\nAnswer: j, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 20*r + 31. Calculate j(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*n - 2, -4*n + 5*b = 2*b + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 2*w + 0*w + w - 3*w - 3 + 3 - w - 4*w + w + w + (-5 + 2 + 4)*(-w - w + w) - 58 + 59*w - 50*w + 60 + 0*w - 2*w + 5*w)*(2 + 1 - 5).\nAnswer: -14*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -483785 to the nearest one thousand.\nAnswer: -484000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.205284 centimeters in kilometers?\nAnswer: 0.00009205284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z - 7211 + 347 = 484*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r + 13. Determine s(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.5 (b) -0.06 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -4, 1, 18, -3, -9, 5 in ascending order.\nAnswer: -23, -9, -4, -3, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3940\/(-15)*3\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101111010001110000 (base 2) to base 9\nAnswer: 764205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1082? (a) 2\/5 (b) -1\/5 (c) 1 (d) -6\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**2\/4 - 43559673*x\/4 + 141569064 = 0?\nAnswer: -14519904, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41519 (base 13) in base 15?\nAnswer: 24b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a week in hours?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 10*i**2 - 14*i - 2. Calculate the remainder when f(-11) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*w - 398*w - 174*w.\nAnswer: -485*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1188 - -368. Let z = 813 + m. Which is the nearest to 0? (a) -3 (b) 1 (c) -5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -12*a + 6. Solve 0 = 4*r - 4*z + 5*z - a, 0 = -5*r - 3*z + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p*u**3*y**2 + 131*p*u**3 + 2*p*u**2 + 3*p*u + 3*p - 9386*u**3*y**2 - 13*u**2*y - 2*u*y**2 - 7*u*y wrt u.\nAnswer: 6*p*y**2 + 786*p - 56316*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 47*b + 0*b**2 - 7\/6*b**4 + 0*b**3 + 0. Let h(r) = 3*r. Calculate h(y(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1374 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 = -5*k. Which is the nearest to -0.2? (a) 1 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -58, 0.25, -0.3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - (-1 - -47)) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1273446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 = i. Suppose 4*m - 3*f = i, 3*m + 2*f - 3 = 15. Suppose -137 = -m*v + 71. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**6\/360 - b**5\/24 + b**4\/6 - b**3\/2 + 6*b. Let n(k) be the second derivative of s(k). Give n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2071 - -71?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 159 = 303. Let q = 81 + l. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-14)*(-25)\/(2500\/160)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 - g - 1. Let u be l(-2). Let c(r) = 1201*r**3 - 6*r**2 + 3*r + 10. Let q be c(u). What is q rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1177 (b) 2 (c) -7 (d) -5 (e) 462\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*x + 12*x + 39691. What is the remainder when x is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 358 - -126?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 4. Let r be h(3). Let k be 248\/5 - (-2)\/r. Let a = k - 31. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2*q)*(-1 + 1 - 1)*(2 + 1 - 1)*((2 + 1 - 4)*(3 - q - 3) - 86 + 14*q + 86) to k*q + n + a*q**2 and give a.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p + p + 3 - p - 3 + (3 - 2 + 0)*(0 - p + 0) + (-3 + 4 + 4)*(-1 + 2*p + 1) + 3*p + p - 3*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21216 divided by 8?\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -711, 24, 43, -3.\nAnswer: -711, -3, 24, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 193 - 545. Suppose v + 0*l + 2*l - 26 = 0, -5*v - 3*l = -116. What is the greatest common divisor of n and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*b + 295 = 71. Let h(r) = 30*r**2 - 5. Let c(u) = -29*u**2 + 4. Calculate b*h(q) - 5*c(q).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270067 and 19761?\nAnswer: 810201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 u when three letters picked without replacement from {y: 4, c: 1, u: 4, m: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.3. Let d = -1458\/7 + 166331\/798. Let m = 6\/19 - d. Which is the second smallest value? (a) -3 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4238, -4240, -4244, -4250, -4258?\nAnswer: -4268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710936929 to the power of 1\/2, to the nearest integer?\nAnswer: 41363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000152961 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61.893 - -0.107. Let r = j + -64. What is the nearest to 1 in r, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 0.7 (b) -266 (c) -2\/3 (d) 0.5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**2 - 4. Let c(t) = -13*t**2. Give c(l(i)).\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*x + x + 5, -4*a = -3*x + 20. Let w = -434 - -436. Solve d - r + 6 = 0, -w*d - 3*r - r + 12 = x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -71 (b) 4 (c) -29 (d) 5 (e) -3\/8 (f) -665\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1227186, -4908657, -11044442, -19634541, -30678954, -44177681, -60130722?\nAnswer: -78538077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 - 9*r - 9. Let v be j(-6). Put v, 2, -4 in increasing order.\nAnswer: -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 21*f - 83. Let t be o(-16). Let b = 0.03 + 1.97. What is the third smallest value in b, t, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 less than 52177\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 48*h**2. Let u(w) = 4*w. Let i(b) = 3*b. Let l(o) = 10*o. Let a(v) = 7*i(v) - 2*l(v). Let x(r) = -10*a(r) + 2*u(r). Give p(x(j)).\nAnswer: 192*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-13)*z*z**(2\/17) assuming z is positive.\nAnswer: z**(-202\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 2*r**2 + 9. Let k(f) = f**3 + f**2 - 10. Let o(n) = 3*a(n) + 2*k(n). Let i be o(-4). Solve 3*p + 0*p = 5*b + i, 3*p - 3 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*z - 669 = -6688 - 965 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10293 and 1034?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (626\/(-28796))\/((2\/6)\/(3\/(-9)))\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**4\/12 - c**3\/2 - 4*c - 3. Let r(z) be the first derivative of m(z). Give r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7127564747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/4 in -624, 3, -1, -51?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -310 - -310.0000541. What is t rounded to six decimal places?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13270922947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 124\/31*3\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-902)\/(-88) - (-6)\/8. Find the first derivative of 160*f**2 + 11 - 173*f**2 + j wrt f.\nAnswer: -26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 61 (b) -1.2 (c) 1\/9 (d) -282 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 31, 48, 71, 100?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 60 + 115*s - 157*s + 44*s. Calculate f(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + w**2 - 7*w - 8. Let f(z) = z**2 - 2*z - 2. Let x(n) = 4*f(n) - t(n). Calculate the remainder when 298 is divided by x(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/20 + u**4\/12 + u**3\/6 - 13*u**2 - 94*u. Find the second derivative of g(w) wrt w.\nAnswer: 6*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-4 + (-47)\/(-12) - 7\/(-52))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -10805482\nAnswer: 5\/10805482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - 112*k - 136. Let t be c(-21). Solve -7*a = -3*a + g + 15, -3*g + t = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5*b + 1637, w + 4*b = -485 + 2123. Calculate the least common multiple of w and 16.\nAnswer: 13136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/(-4) + 4\/16. What is the smallest common multiple of 22 and b\/(-6) + (-144)\/(-27)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1805410074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/45*-6*-25. Suppose 5*g - 51 = t + 93, -5*g + 136 = t. Let n = -39 + g. Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -6 + 5 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7 - 4.9. What is the nearest to 2 in -4\/9, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d - 4. Let h(u) = 465*u**2. Determine g(h(b)).\nAnswer: -6975*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from ofrrqvqd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 7 + 17 = 0. Solve x = -4*g + 5*w + 14, 3*g - w = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**3 - 6*m**3 + 2*m**3)*(2 - 8 + 3)*(6 - 5 + 2) to g*m**2 + c*m + l*m**3 + a and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-2)\/5*(-120)\/32). Suppose s = 2*k - 30. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -36*f - 4. What is the hundreds digit of g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 1\/11 (c) 2\/1167 (d) -2\/15 (e) -1 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbbbbnaf. What is prob of picking 3 b?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -763065, -763045, -763025?\nAnswer: -763005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 + 5 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, 894, 1385, 1932, 2553, 3266, 4089?\nAnswer: 5040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 14*k**3 + k**2 + 6*k. Let t(m) = m. Give s(w) - 6*t(w).\nAnswer: 14*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34 - (0 - (-15)\/(-5)). Let w = y - 35. Suppose -w*s + 27 = 3. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 330 = -3*o. Let v = 264 - o. Suppose v = 3*m - 0*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m + 0 + 7 - 13*m - 3. Let t(j) = -2*j**2 - 2*j - 3. Let g be t(-2). Is n(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (25 + (11 - 10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 48*b - 29. Let x be u(7). Let i = x - 231. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1354809 + 52.8626391. Let b = m - 53. What is b rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7455 and 21?\nAnswer: 7455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110880 = 226*y - 2331827 - 1124025. Calculate the greatest common divisor of 26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(2\/688). Suppose c = 5*y + 42. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.91 * 0.5.\nAnswer: 0.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-2 + 5) - -12*46 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 2 + (1 - -5) - (25 - -2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*b - 142, -4*b + 0*n + 5*n - 121 = 0. Let z = b - -54. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -25*d**8\/168 + d**6\/10 + 1537*d**5\/60 + 5*d**2 + 19. Find the third derivative of u(r) wrt r.\nAnswer: -3000*r**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 458123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*x**3 - 59*x - 153*x + 130*x.\nAnswer: 64*x**3 - 82*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7600 = -2*m + 4*p, 9*p - 11436 = -3*m + 6*p. Suppose 0 = -2*x + m + 12574. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*i**2 - 68*i**2 - i - 9 - 66*i**2)*(-1129 + 41*i**2 + 1129).\nAnswer: -82*i**4 - 41*i**3 - 369*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/30 - p**4\/6 + 69*p**2 - 4. Let i(r) = -r**2 - r. Let j(s) = s + 4. Let b be j(-3). Determine b*q(u) - 4*i(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 246439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1828, 17, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0.4 (c) -0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -34. Suppose 0 - 4 = -t*v. Solve 2 = -v*r + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 3*g**2 + 2*g**2 + (2*g + g - 5*g)*(6*g - 6*g + 9*g) + (4*g - 2*g + 0*g)*(-2*g + 1 - 1) + (g + 0*g - 3*g)*(-5*g + 3*g - g).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9144, -9145, -9146?\nAnswer: -9147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = -6*r - 352. Let z = -62 - r. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 29 + 0 + -1 + 1. Suppose 13 = 3*n - p. Let g(m) = m**2 + 2*m - 13. Calculate the smallest common multiple of n and g(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 2, t: 1, w: 6, e: 2, m: 6}. Give prob of picking 2 e.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**3\/6 + 8*j. Let i(p) = 2*p - 2. Let o(t) = -21*t + 4. Let k(y) = -2*i(y) - o(y). Calculate k(s(u)).\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 1104*y**2 + 4468*y - 4456. Let v(u) = 5*u**3 + 4415*u**2 - 17870*u + 17830. Let n(b) = -15*g(b) - 4*v(b). Factor n(k).\nAnswer: -5*(k - 2)**2*(k + 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1130795 - -21464677.1130795. Let r = m - 21464659.399909. Let y = r - 16.6. What is y rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034297475 to six dps.\nAnswer: -0.00343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**3 + 10*g**2 - 17*g + 3. Let o(c) = -2*c**3 - 5*c**2 + 8*c - 1. Let d(f) = 3*i(f) + 7*o(f). Let j be d(4). Solve -j*n = -4*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i + 5 = 4*r, 5*i = -4*r - 1. Put i, 0.087, 5 in decreasing order.\nAnswer: 5, 0.087, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**8\/336 + d**6\/60 - d**4\/24 - 30*d**2 - 7*d - 2. Let u(g) be the first derivative of x(g). Find t, given that u(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*j**3 - 69*j**3 + 1 + 2*j**2 + 50*j + 36*j + 38*j**3 in the form s + y*j + q*j**2 + d*j**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-2*n + 3*n - 2*n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -8.01. Let f = 7.9 - m. Which is the closest to f? (a) -0.2 (b) 1\/3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 - 88. Put 0.2, p, -4, -1 in decreasing order.\nAnswer: p, 0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137417719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - p - p + (-2*p - 1 + 1)*(1 + 3 - 3) + 3 - 3 - 2*p + p - 3*p - p to h*p + d and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**3\/3 + 5*a**2\/2 - 2*a + 57. Suppose 0 = 5*o + 47 - 117. Let j = o + -19. What is y(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25.1 and -6842265.\nAnswer: -6842239.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k*u**2 - 3*k*u + 159823703*k - 3*u**4 + 40209*u wrt u?\nAnswer: 6*k*u - 3*k - 12*u**3 + 40209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lugffgegg. Give prob of sequence ul.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-3))\/(-1 - -2). Solve -5 = -q + p*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2207570 to the nearest 10000.\nAnswer: 2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849563107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 27041 - 13718. What are the prime factors of n?\nAnswer: 3, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 474559209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-14)\/(-4)) + 109\/2. Does x = 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6278 is divided by 3136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syy when three letters picked without replacement from {s: 5, y: 9}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 539 = -3*o - 0*d, 2*d = 3*o - 545. Sort -2, 5, o.\nAnswer: -2, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222013133 (base 4) to base 9.\nAnswer: 282568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 255*l + 6607. Give f(-26).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 3, j: 4, v: 2, a: 7}. What is prob of picking 2 j?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + o + 4*o - 6, 3*y = 4*o - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10683 - 10897. Sort 1, q, 5 in descending order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t)*(-2*t - 4*t + t) + 2 + 3*t**2 - 5*t**2 + 5*t**2.\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 650 and 53575?\nAnswer: 1392950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v**3 + 7*v**2 + 7. Let f(t) = 3*t. Let y be f(2). Let u(i) = 6 + y*i**2 - 2*i**3 - 7*i**3 + 2*i**3. Let d = -136 - -143. What is d*u(m) - 6*g(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*x + 92*x + 75*x - 70*x + 17.\nAnswer: -2*x + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -2\/3, 15, -23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -857 + 855. Which is the third biggest value? (a) i (b) 1 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/33032 and -41\/16516.\nAnswer: 33032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -3, -11, -1, -0.5 in increasing order.\nAnswer: -11, -3, -1, -0.5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 605, 1.\nAnswer: -4, 1, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -21*i**3 + 14*i - 7. Let g(a) = -11*a**3 + 8*a - 4. Let o(d) = 5*g(d) - 3*z(d). Suppose -p + 7 = 4*h - 0*h, -3*h + 2*p = 3. Determine o(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11430 and 30?\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -24\/115 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5\/4 + k**4\/4 + 2*k**3 - 2*k**2 - 4*k + 4 = 0. What is k?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 249201077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 712 + -737. Let h = 4\/13 - 452\/117. Calculate the common denominator of h and (-1)\/g*10 + (-1124)\/(-40).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26117*o - 25948*o = 3718 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89272 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-18)*u*(u*u**(-3\/8)*u)\/u assuming u is positive.\nAnswer: u**(-131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46525 and 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21308.4 and 5.5.\nAnswer: -21302.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 2*t + 3*t + (2 - 2 - 10*t)*(3 - 3 - 3)*(1 + 0 - 2)*(-3 - 1 + 3)*(-11 + 9 + 18).\nAnswer: 481*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)\/q)**(-2\/99)*q**(5\/2)\/q**(5\/2) assuming q is positive.\nAnswer: q**(2\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164813821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -6, 15, 2 in descending order.\nAnswer: 40, 15, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**2\/2 + 5*m + 12. What is f(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 437 = 5*m - 1892, 3*m + 4*j = 870. Suppose -11270 = 280*h - m*h. Is 60 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 11:49 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60104446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 641129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 7*w - 2*w, 2*w + 10 = 3*x. Let m be 1*x\/(-6)*0. Suppose 2*t - 4*p - 26 = m, -t = -5*t - 2*p + 32. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17720 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*q + 363 = 71, 5*c - 298 = q. Calculate the greatest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86.9 + 87. Let y be 4 + (272\/(-70) - 18\/45). Let t be -2*1*-1*2. Which is the closest to 0? (a) t (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219403 is divided by 138.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -8 + (-1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g*h**2 + 6827323*g*k**3 + 287*h**2*k**2 + 540*h*k**3 - 31*k**3 wrt g?\nAnswer: 3*h**2 + 6827323*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-10) + -8)\/((147\/154)\/(-21))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10228 is divided by 189?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 78518?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280738 and 3128?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -31*q**3\/6 - q**2 - 10*q. What is the tens digit of j(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*c**2 + 301*c**2 + 123*c**2 in the form r + v*c**2 + m*c and give v.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - o. Let s be r(1). Suppose -s*m = -6*m - 20. List the prime factors of 13*-2*5\/m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/123 in -5, 0, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 20. Let r be o(0). Suppose -5*i + r = -i. Let l = 3 + i. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2286484 or -2286485?\nAnswer: -2286484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44827943 divided by 23.\nAnswer: -1949041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -228 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 1. Let m(s) = 5*s**2 + s - 4. Let b(o) = 6*d(o) + m(o). Let g = -233533 - -233532. Give b(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446755.\nAnswer: 5, 199, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67 in -5, 4.54, 0.5, 1, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p*p*p**(2\/11)*p\/(p**(-18\/7)\/p)*p**(-42\/5)\/p**(-2\/151) assuming p is positive.\nAnswer: p**(21306\/58135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4 - 2915855*g**3 + 17495106*g**2 - 34990196*g + 23326792 = 0.\nAnswer: 2, 2915849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 129234 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11741?\nAnswer: 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 0.055704539.\nAnswer: 2.944295461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-4))\/(((-147)\/(-144))\/((-924)\/(-2640))).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 28*s = -2716. Which is greater: 387 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2135 + 30*n**3 + 2*n**2 - 2*n**2 - 2133.\nAnswer: 30*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7284*y - 7280*y - 7796 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 3, m: 3}. What is prob of sequence gm?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (-1 - (0 - -17))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a51 (base 12) in base 7?\nAnswer: -33346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/2 + 165*q\/2 - 564.\nAnswer: -3*(q - 47)*(q - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l - 6. Let m(t) = t + 4. Let d be m(0). Let s be (-9)\/(-36) - (-15)\/d. Let q(y) = -y + 1. Determine s*q(v) + n(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10948733206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 + 54 = 0. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480919, -961839, -1442759, -1923679?\nAnswer: -2404599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 4*g + 3. Let w be i(2). Let p be ((-84)\/(-38) - 2)*-4. Is p bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpm when three letters picked without replacement from {p: 12, m: 1, l: 1, j: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 1\/3, -3, 1, 10, 66?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/7, -0.1, -1.6, 1\/6, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2 + 22\/(-12)). Let n = -232 + 229. Sort -5, 3, o, n in increasing order.\nAnswer: -5, n, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 119*w**2 + 252*w + 1321. What is h(-121)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6547 is divided by 1634?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from riiiririiiiiiiii. Give prob of sequence rir.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24605431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((50\/(-10))\/(-35))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 4 + 4)*(2*w + 1 - 1 + w - 2 + 2 + 3*w - w - 4*w + (-3*w + w + 0*w)*(-1 - 5 + 4) + 1 + w - 1 - 3*w - w + 3*w).\nAnswer: 80*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15097 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 3*p - 4. Let b(t) = t**2 - 4*t - 2. Let d be b(5). Suppose -r = -d*r - 10. What is i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**3 - 25*n**2 - n + 17. Let y(t) = -t**3 + t**2 - 1. Let m(w) = -c(w) - 6*y(w). Let d be m(19). Solve 5*r - d = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + -677023954\nAnswer: -677023954.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.3 + 20. Let h = 0.8096 - 1.2096. Let i = 2.99 + 0.01. Sort 0.4, i, z, h in increasing order.\nAnswer: z, h, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -18\/662981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156 + 167. Suppose 5*r - 2*l + l - 44 = 0, 2*l + 16 = r. Calculate the remainder when m is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(sqrt(1800) + (sqrt(1800) - (sqrt(1800) + sqrt(1800)*-2))) + 0)*6.\nAnswer: 2700*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4554773*g + 13664323. What is n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 z, and 1 p when three letters picked without replacement from {z: 2, l: 1, p: 2, s: 4, i: 1, t: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 46, 71?\n\"Answer: 25*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 21*w**2. Let p(z) = 9*z**2. Give i(p(d)).\nAnswer: 1701*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(18)*-3)\/(sqrt(63)\/(sqrt(7)*-6) + sqrt(9)).\nAnswer: -54*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2232 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 25. Let m = -3.95 + 4. Let x = 0.25 + m. What is the third smallest value in c, 5, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 274181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -159*l + 5. Let d(v) = 4*v**2 - 2*v - 2426. Determine d(k(r)).\nAnswer: 101124*r**2 - 6042*r - 2336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = d - 10, 5*d + 1 = 3*m + 33. Let x(n) = n + 6. Let l be x(d). Suppose -3*w + 4*w = 3*j - l, 2*j - 2*w - 6 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31b03d (base 14) to base 5\nAnswer: 412312002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 4216045?\nAnswer: -4\/4216045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/3527 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 plus -118?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5301 = -107*r - 55*r - 9*r for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 0*p + 313 = -2*j, p + 10*j - 66 = -16*j + 23*j for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-897)\/322 - (-10)\/4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*k - 1\/3 + 1\/6*k**2 - 1\/2*k**3 + 1\/6*k**4.\nAnswer: (k - 2)*(k - 1)**2*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49205423 bigger than -49205434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5*b**(-4))\/(b**(-2)*b**6))\/((b**(-2\/5)\/b)**(-2\/47))**(1\/50) assuming b is positive.\nAnswer: b**(-17632\/5875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/20 and 103\/1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1185067464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 4*d**2 + 12*d - 4. Let t(i) = -i**2 - i + 1. Determine 4*t(k) + x(k).\nAnswer: 2*k**3 + 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.231676 kilometers in nanometers?\nAnswer: 6231676000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = -54888 + 54708 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18382 = -1432*j - 26358 - 37848 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/45*((-580)\/(-435))\/((-4)\/(-6)*1).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.2. Let h = 0.1 + i. Let m = -8210.1 + 8209.9. Which is the closest to m? (a) -1\/4 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**3 + 11*z**2 + 15*z - 37. Determine x(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 728*n + 739. Calculate m(181).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7911302 minus -43379560?\nAnswer: 35468258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 11*n**2 - 4*n - 94. Let g be s(12). What is the highest common factor of g and 261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.05766\nAnswer: 0.11532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 141014 (base 5) to base 6\nAnswer: 42355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2499 or 2\/29?\nAnswer: 2499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, n: 5, l: 3}. Give prob of sequence lunu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 60 = 4*u. Calculate the common denominator of 2\/u - (-1008)\/(-385) and 59\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*g - 7*g - 28, -2 = g. Suppose 5*v - 65 = 5*i, i - h = 3*i. Solve 4*w - 2*w = v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3431 + 2304033?\nAnswer: 2300102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2418)\/3348 - 1*2\/(-9). What is the closest to -0.3 in -0.2, 3, j, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*p + 3*p**2 - 4*p**2 + 33*p**2.\nAnswer: 32*p**2 + 57*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/504612 and -115\/756918?\nAnswer: 1513836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51697*d**3 + 22669*d**2 + 3*d wrt d.\nAnswer: 310182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (14\/42*-26)\/(((-44)\/(-297)*9)\/(-2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7221 = 8*s + 4*d - 3866 - 3767, 0 = 11*s + 3*d - 564 for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1493*n - 1461*n - 1495*n - 1491*n + 5898*n. Let q(r) = 372*r. Calculate q(f(a)).\nAnswer: -15624*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5371746636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*c + 28, -4*c - 2*p = -3*p - 56. Let i be c\/(-49) + (-48)\/(-364). What is the smallest value in -6, -4, -3, i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1809 (base 14) to base 3.\nAnswer: -12221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*h + 128, 2*h + 15*p - 12*p = 48. Calculate the smallest common multiple of 42 and h.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*x, -7*q - 12 = -x - 5*q. Let b(l) = -l + 7. Let t(s) = 2*s - 15. Calculate x*t(d) + 7*b(d).\nAnswer: d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 269 and 40.8.\nAnswer: 309.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3275*a. Let t(l) = 10*l**2. Give z(t(f)).\nAnswer: -32750*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 13*r - 1. Suppose w + 4 = 3*w. Let f be x(w). Suppose -2*u + f = 4*b - 9, 2*b - 29 = -5*u. Solve 3*q = b*q + 3*j + 10, 9 = q - 5*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21981, -356, 1 in increasing order.\nAnswer: -356, 1, 21981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10424412450 - -3?\nAnswer: 10424412453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 303?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 28*a - 3. Let l(o) = -5*o**2 + 57*o - 6. Calculate -3*l(j) + 7*y(j).\nAnswer: j**2 + 25*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1400.2 + -1401. Which is the nearest to 0? (a) -0.3 (b) 0.015 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828586.01 rounded to the nearest ten thousand?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = p + 22, 51*p = -3*a + 1993 - 2107 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**5 - 6*u**4 + 6*u**3 + 6*u**2 + 2*u. Let n(w) = w**5 - w**4 + w**3 + w**2. Let y(z) = -m(z) + 6*n(z). Find the second derivative of y(c) wrt c.\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -96, 0.3, -0.2, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*y**2 - 3*y**4 - 45*y**2 - 47*y**2 - 2*y**3 + 139*y**2 + 88 to l*y**4 + f*y + k*y**3 + i + u*y**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*l + 5. Suppose -l*s + 9 = -x, 3*x + 3*s + 1 = 5*s. Differentiate x + 3 - 2 - 3*o**4 + 2*o**4 with respect to o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let h = -192 - -197. Solve -h = -5*c + b - k, 8 = 4*c - 2*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/260*-91)\/(189\/36)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -371534*y**2 - 496103*y.\nAnswer: -743068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(s + 2*s**2 - s)*(40*s**2 + 2027*s - 2027*s).\nAnswer: 160*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (27 + -11 + -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 340.394 - 0.394. Let z = k - 339. Put 5, 2, z, 3 in decreasing order.\nAnswer: 5, 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*n = -4*n + 16, -11 = 5*v + 3*n. Let g(o) = -o**3 - 4*o**2 + 3. Let m be g(v). Suppose 0 = -m*x - 3 + 12. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**4\/4 + 73*n**3\/2 + 1386*n**2 - 7276*n. Suppose h(u) = 0. Calculate u.\nAnswer: -11, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1077 divide 245434864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191821.\nAnswer: 7, 67, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, -17\/3.\nAnswer: -15, -17\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - ((79 - 89) + 29).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -208721298.46899517 + 208722340.469. Let x = -1042 + w. Round x to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3531 - 1599. Does 69 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/65278 and -99\/330502.\nAnswer: 41973754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/12233 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9583 divided by -9583.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6104 - -6181. Suppose -357 = -3*y - 93. What is the smallest common multiple of x and y?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 244?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -929\/7 + 133. Sort 5, 10, x in descending order.\nAnswer: 10, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.084 - -1.1529002\nAnswer: 1.2369002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 459952025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -38, -31, 3, 25, -4, 9 in decreasing order.\nAnswer: 25, 9, 3, -3, -4, -31, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 949061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 12243?\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 2345778.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1713234744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*i + 32 = -454*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45621482 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3807*j - 30462. Calculate p(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 - 50*k**2 - 19*k**2 + 629 - 420.\nAnswer: -69*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddcdoddxdxdedczddx. Give prob of picking 2 c.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17051*l*o**3 - 2*l*o + 1684*l - 24967*o**3 + 1232*o - 43 wrt o.\nAnswer: 102306*l*o - 149802*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 25, 46, 67, 88?\n\"Answer: 21*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3162, -16.\nAnswer: -16, -5, 3162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 15 - 4 = 3*a, k + 4*a = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0413 - -0.1413. Which is the second smallest value? (a) -2\/5 (b) 0.5 (c) x (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9 - 13 - 9*c**2 + 22 + c. Determine z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-61110)\/(-60)*4\/3. Let z = j - 915. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 12, e: 4, y: 2}. What is prob of sequence uee?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a2 + 1?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329971744 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-6)*o*o*(o*o**(-3\/4))\/o)\/(o**1*o)**(7\/8)*(o**1)**(-22)*o\/(o*o\/o**(-3\/7))*o**1*o assuming o is positive.\nAnswer: o**(-209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -31288?\nAnswer: 31267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - ((34 - 11) + -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88*z**5 + 98*z**4 - 98*z**4 + (-8 + 0 + 1)*(0*z**3 + 0*z**3 - 2*z**5).\nAnswer: -74*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101010020 - 2102110?\nAnswer: 1021200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11044540 and 2344972.\nAnswer: 13389512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*(336\/20)\/(-28).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*k**2 - 7*k + 7*k + 207*k**2.\nAnswer: 140*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33034410 - 234?\nAnswer: -33040144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*t + 60 = 3*t, -3*d - 5*t = -44. Let n be d\/(-2)*5\/(-10). Let w = -3 - n. Let m(l) = -3*l - 6. Give m(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-9 - -13) - -20.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 38*x**2 + 240*x - 504.\nAnswer: 2*(x - 7)*(x - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 34. Suppose 0 = -4*u + 16, -i = -4*h - 2*u + 5. Let n = 0.082 - -0.918. Which is bigger: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116396 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 10. List the prime factors of l(29).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + o)*(-6 + 1 + 3)*(-o + 1258 - o - 1251)*(-2*o + 1 - 1) to the form i*o**2 + f*o + a + t*o**3 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 57*b**2 + 7*b - 142. Determine c(-28).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15729389.\nAnswer: 13, 67, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3621*j**3 - 19*j + 33 wrt j?\nAnswer: -21726*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(((-6)\/(-88))\/((-918)\/68)). What is the highest common divisor of 8 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -2, 3, -1 in ascending order.\nAnswer: -2, -1, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -2\/13 (b) -5\/2 (c) -0.3 (d) 1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/5)\/t**14*t**9*(t*t**(-3\/2))\/t assuming t is positive.\nAnswer: t**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 1472376?\nAnswer: 1472374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690 = 35*t - 655 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*-0.11.\nAnswer: 5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416 a factor of 112099056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1818734873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d + 4. What is x(-7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a - 100 = 0. Suppose -z + a = -0*z. What is the greatest common divisor of z and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 69102.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -701750?\nAnswer: 701754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -10*h**2 + 1\/2*h**3 - 3\/8*h**4 + 0 + 0*h. What are the prime factors of t(-7)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (-70 + 72) - (59 + 5 + -6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 13) to base 2\nAnswer: 1000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -14 + 12. Let s(i) = -4 + 6*i + 7 - 2 + d. Let y(o) = -25*o - 9. What is 9*s(u) + 2*y(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000286978601 to seven dps.\nAnswer: 0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 15169.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*s - 2540, -1905 = -52*c + 49*c + s. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-7)\/(-63))\/((-5)\/(-9))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -9, -0.5, -0.862 in descending order.\nAnswer: -0.1, -0.5, -0.862, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 112*m**2 - m + 10. What is the hundreds digit of r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqcqqqc. Give prob of sequence ccq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 2*q - 2. Calculate the lowest common multiple of t(1) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 5 + 6*i + 2 - 340*i**3 + 0 - 9*i**2 + 316*i**3 in the form v*i**2 + h*i + t + x*i**3 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69095647 to the power of 1\/2, to the nearest integer?\nAnswer: 8312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1130 + 1127. Sort 0.01, -3\/2, y, 5 in ascending order.\nAnswer: y, -3\/2, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*m - 2*z - 11 = 0, 5*m + 5*z = 25. Let v(b) = 14*b**2 - 2*b + 2. Let c be v(2). Suppose 0 = -m*o + 42 + c. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 3)*(3*d - 2*d + d) + (10 - 7 + 12)*(d - 2*d - d) + 5*d + d - 4*d to the form o*d + w and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 47. Let a(x) = x + 22. Let h be a(-19). Does 14 divide 6\/(2\/(s\/h))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 9 = -3*x, 5*x - 5*q + 10*q = 25. Solve 0 = -5*d + 4*y - 24, -x*d - 3*y - 12 = y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*c - 268 = -310*c. Solve 6*d = c - 152 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.72123 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 416.\nAnswer: -1\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 72610700 rounded to the nearest 100000?\nAnswer: 72600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575 is divided by 517?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(10\/3*36\/(-75)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.55 - -12. Let d = 7.1 - a. Let u = 1.176 + d. What is u rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7259.9 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10511, 10512, 10513, 10514, 10515, 10516?\nAnswer: 10517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.5 less than -2643948993?\nAnswer: -2643949030.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:22 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n**2 - n + 2. Let c(k) = -47*k**2 + 3*k - 5. Calculate 3*c(j) + 8*o(j).\nAnswer: -13*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45611*n**3 - 555*n**2 - 51*n wrt n?\nAnswer: 273666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 95*s**3 - 281*s**2 + 12*s - 24. Calculate m(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/20 + 122\/10. Suppose -2*v + 2 + g = -j, 5*j = 5*v - 50. Let k = 9 + j. Solve -k*n + 4*r + 2 = 0, -4*r + 1 - 5 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22335 smaller than -22340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -459992 at least as big as 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (7 - 8 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 10*n**2 - 13*n + 9. Let a be (-16)\/24 + 31\/(-3). Let d be q(a). Suppose -2*z + 21 = -d. Calculate the greatest common divisor of z and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1227, -1228, -1229, -1230?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((2\/10)\/1). Let r = -121 + 124. Let d(v) = -4 + 9 + r*v - 5 - 2 - v**2 + 2*v**2. What is d(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b*d**2*q**3 + b*d**2*q + 10*b*d*q**2 - 27*b*q + 6*d**2*q**3 - 2*d**2*q**2 + 37*d*q**3 + 1 wrt q?\nAnswer: -18*b*d**2 + 36*d**2 + 222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 533357.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2 + 452*y - 920 = 0.\nAnswer: -115, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379898.\nAnswer: 2, 189949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33.7 - -27. Let d = -6.6 - i. Which is the closest to d? (a) -1\/11 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 54\/(-8). Let k = n - 7. Factor -3*c**4 - 3 + 0*c**4 + 0*c**4 + k + 6*c**2.\nAnswer: -3*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/8*10)\/(3\/18). Let q = t + -24. Solve c = 4*c + q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - a + 37. Let x be 0\/(5\/((-5)\/(-3))). Let g be z(x). Let j = g + -4. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**8\/3360 - h**5\/60 - h**4\/12 + 2*h. Let u(v) be the third derivative of l(v). What is the first derivative of u(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w - 36*w + 19 + 18 - 5. Calculate the remainder when t(-7) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**2 + 495628*p + 13075485 wrt p.\nAnswer: -2*p + 495628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 84048.31 micrograms?\nAnswer: 0.08404831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (69\/15 - 7)\/((-6)\/(-340)). Let j = 267 + c. List the prime factors of j.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11158 and 134693?\nAnswer: 1885702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1232.257 nanometers?\nAnswer: 0.000000001232257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-16 + 24)) + 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 23707*h + 94. Is p(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(3) - sqrt(32)\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 1, u: 1, t: 1, d: 1}. Give prob of picking 1 c and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let g(c) = -674964*c. Give o(g(l)).\nAnswer: 455576401296*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51, -86, -137, -198, -263?\n\"Answer: p**3 - 14*p**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 36 = -4*p - 4, z = 3*p + 11. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07565 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 45 = 2*q. Suppose 0 = 3*n + 2*n. Suppose n = 4*g - 3*g - 15. Calculate the greatest common factor of g and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -28.11. Let x = 0.61 - h. Let q = 0.7 - x. Which is the nearest to q? (a) -0.2 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41*(-8)\/(8\/(-9)) is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2. Let r(h) = 30*h**2 - 5*h - 6. Let i(k) = -k**2 + k - 6. Let w(y) = -i(y) + r(y). Determine m(w(u)).\nAnswer: 961*u**4 - 372*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -43. Suppose -f - g*f + 290 = 0. What is the greatest common factor of 29 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30 = -0*b. Solve 4*x = x + b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 4)*(3*g**3 + 2*g**5 - 3*g**3) + (-5 - 2 + 5)*(5*g**5 - g**5 - 2*g**5).\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/16 + 50\/8. Let m(y) = -8*y**2 + 6*y + 6. Let v(s) = 7*s**2 - 5*s - 5. Let g(t) = l*v(t) + 5*m(t). Let k(h) = h. Give g(k(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/4 + 111*w**2\/2 - 110*w - 4346. Factor s(o).\nAnswer: -(o - 10)*(o - 1)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 5*x**8\/672 - 2*x**7\/21 - x**6\/12 + 4*x**5\/3 + 3*x**2 + 59. Find y, given that w(y) = 0.\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 7458*f - 7450*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3675 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 30*k**2 - 18*k**2 - 1 + 15 - 8.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/4 - 521275*p**4\/4 + 15637575*p**3\/4 - 117280125*p**2\/4 = 0.\nAnswer: 0, 15, 521245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**3*u**2 - 21*f**3 + 6*f**2*u - 4*f**2 + 6761*f*u**2 + 27*f*u - 3*u**2 wrt u?\nAnswer: 8*f**3 + 13522*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 386*a**3 + 813*a**2 + 158*a**2 + 790*a**3 + 250*a**3 wrt a.\nAnswer: 8556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130330 (base 5) in base 7?\nAnswer: -20561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 8:05 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, 0.5, 1.5, -3, 0.96?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -15*x + 14*x. Let o(q) be the second derivative of 0*q**2 + 3\/50*q**5 + 1\/75*q**6 + 0 - q + 0*q**x + 1\/15*q**4. Factor o(g).\nAnswer: 2*g**2*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*m - 3 + 2 = 0, 0 = 2*m - 6. What is the lowest common multiple of v and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - 2.5. Are -10 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -12*w + 19*w - 9*w. Let y(c) = -c**2 + 18*c. Give b(y(p)).\nAnswer: 2*p**2 - 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 i when three letters picked without replacement from {i: 5, k: 8}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 869224 and 1432?\nAnswer: 869224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 47*k + 11. What is the hundreds digit of c(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59280188.\nAnswer: 2, 11, 1347277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-400)\/6*-12*6\/10. Suppose c = -8*p + 16*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 2*a**2 + 3*a - 3. Let b be q(2). Let m = 8 - b. Put m, 1, 3 in ascending order.\nAnswer: 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 1. Let b(x) = 12*x - 2. Let j(q) = 4*b(q) + 14*g(q). Is j(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76738 is divided by 76471.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 329644.6092 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 + 0.03. Let m(n) = n + 4. Let c be m(-6). Let d = 0.1 - -0.4. Put d, c, h in decreasing order.\nAnswer: d, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f - 9. Let l be (-1)\/(10\/2 - 6) - 0. Let w be m(l). What is the nearest to w in 0, -2.3, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23\/70 + -9\/14. Let q = 5\/7 + y. Let p = 8.7 - 9. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Suppose v = 2*c - 12. What is the greatest common factor of 49 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 522\/696 - (0 - (-306)\/(-8)). Calculate the highest common factor of 312 and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 847506 - 847508. Let z = -0.2 - -0.1. Which is the smallest value? (a) -47 (b) z (c) r (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + f**2\/2 - 26*f + 18. Let g be k(-6). Suppose 5*o = g*o + 5. Solve -o*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -774978036 - -0.3.\nAnswer: -774978035.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10824\/(-123) + 175 - 22.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009807371 to 6 decimal places.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 67*t**2 + 1952*t - 135324. What is k(65)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*g - 64 + 79, -2*g + 0*u - 16 = -3*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**5 - 20471*n**3 - 101095*n**2 + 2*n wrt n?\nAnswer: 180*n**2 - 122826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21222 (base 3) in base 13?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 2. Let k(l) = -5*l - 8. Let h(g) = -13*g - 21. Let w(f) = 3*h(f) - 8*k(f). Determine 2*c(m) + 5*w(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54161109337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3500)\/((9\/(-1056))\/(-3)). What is h rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*a + 5 = 0, -7 = f + 3*a + a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230740 and 710812.\nAnswer: 494014340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**6\/90 - z**4\/8 + 2*z**3\/3 + z. Let o(q) be the second derivative of x(q). What is the derivative of o(p) wrt p?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3744 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 + 0.2. Sort -4, -0.04, o in descending order.\nAnswer: o, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(76) + -1*sqrt(76) - (-6*(sqrt(76) + 1) - sqrt(76)))**2.\nAnswer: 56*sqrt(19) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*9\/(-351)*(-7)\/2*-2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m - 54*m + 197 + 8 + 43*m + 0.\nAnswer: 7*m + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -42*l**3 + 5*l + 22. Let h(u) = -u**3 + u - 1. Let a(w) = 5*h(w) - k(w). What is the first derivative of a(i) wrt i?\nAnswer: 111*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -15, -28, -51, -90?\n\"Answer: -l**3 + 4*l**2 - 14*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 6*w**2 + 5973 + 0*w**2 - 8252 - 8695.\nAnswer: 6*w**2 - 10974","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z - 2. Let g(b) = -19*b - 5. Let l be 35\/(-20) - 9\/((-180)\/(-25)). Give l*g(p) + 8*n(p).\nAnswer: 9*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -487*l**3 + 5*l**2 - l + 158. Let y(f) = 485*f**3 - 4*f**2 + f - 157. Let k(m) = -4*n(m) - 5*y(m). What is the second derivative of k(u) wrt u?\nAnswer: -2862*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 0)\/((-12)\/548). Let m = -406\/3 + w. Let t = 113 - 113. Which is the third biggest value? (a) t (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8 (b) 2543 (c) 5 (d) -725\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 772861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 3*f**2\/2 - 2*f + 1. Suppose -4*w - 4 = 4*o, 4*w - 12*o - 17 = -9*o. What is the remainder when 14 is divided by p(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*2*((-88)\/96)\/11.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8250, -16482, -24702, -32910?\nAnswer: -41106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/10 - 21 - (-2 - (2 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7914856*d + 1737518.\nAnswer: -7914856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18569576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(5)) - (-3 + sqrt(320) - sqrt(320)))**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10865 and 2665.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a4 + -2?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, 8\/43, -2\/11, 0.2, 0.3.\nAnswer: -2\/11, 2\/31, 8\/43, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -63, -2, -0.51, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -15*i - 23 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 84939812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 + 33*k**4 - 57*k**3 + 27*k**2 = 0 for k.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2749 - 24770\/9. Let h = -7296 - -116653\/16. Find the common denominator of h and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 75. Suppose k*t + 2*p - 16 = 0, 4*t + 0*p + p = 38. Calculate the highest common factor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**4 - 3*u**4 - u**4 + (u + 0*u - 3*u)*(2*u**3 - 3*u**3 - u**3) - 6*u**4 + 3*u**4 + 4*u**4 as m*u + j*u**2 + l + x*u**3 + z*u**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/12 - (8 + 189\/(-28)). Suppose 5*m = -4*s - 10, 3*s - 10 = -u*s + 5*m. Factor s - 5\/4*f**2 + 0*f.\nAnswer: -5*f**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 - 118*x**2 + 2054*x - 11154 = 0?\nAnswer: 13, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 7745\nAnswer: -2\/7745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1698 = 1710. Suppose -18 + 6 = 6*m. Sort a, m, -5\/12.\nAnswer: m, -5\/12, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*d + 428 = -611 - 1355 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2*f**2 + 3*f)*(f**3 - 5*f + 5*f) + 0*f**5 + f**5 + 3*f**5 + 2*f**5 - 4 + 4 + 2*f**5 + f**5 - 5*f**5 + 4*f**2 + 2*f**5 - 4*f**2.\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 720 = -r + 6*r, 0 = 2*a - 4*r - 360. Calculate the greatest common factor of a and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069001 to the power of 1\/2, to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30281.05183 rounded to the nearest 10?\nAnswer: 30280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 - -2. Let q = -38\/33 + 20\/11. Let i(d) = d - 1. Let s be i(-1). What is the biggest value in w, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9084.9l to millilitres.\nAnswer: 9084900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1158 and 16.\nAnswer: 9264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**7\/4200 + m**6\/900 - m**5\/600 - m**4\/60 + m**3\/3 - 3. Let a(b) be the third derivative of r(b). Find w such that a(w) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) -217\/2 (c) 9295 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4850*z - 35 = -4853*z, -3*k + 4*z = 52 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/47060388 and -67\/198699416?\nAnswer: 1788294744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00072854911 rounded to 5 decimal places?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c15 (base 14) to base 5.\nAnswer: -1234243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1311 + 4652 + 3521 = -47*z. Do z and -2772\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25911814.\nAnswer: 2, 947, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, -4, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102620*z**4 - 194469 with respect to z.\nAnswer: -410480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -3*k**2\/2 - 5*k - 1. Suppose 0 = -4*l - 2*s - 26, 4*s - 6 = 3*l + s. Calculate z(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52786 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5905 and 9\/595.\nAnswer: 702695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -199, -96, 131, 524?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519179 is divided by 1940?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -9*k + 34. What is the least common multiple of 18 and ((-10)\/k*(-21)\/5)\/(-1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34826 + -25196. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rii when three letters picked without replacement from iqiiirqrqrrqrriiqqi?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(4 - (-52)\/(-10)). Suppose 36 = 3*v + v. Let z be 33\/v - c\/9. Solve -5*m + 1 = 4*y, z*y - 3*m + 6*m - 3 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.708554292 rounded to 3 decimal places?\nAnswer: -0.709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + 3137 + -3097?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvvvvvppvv. Give prob of picking 4 v.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 916157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54.6 from 22.549467482.\nAnswer: -32.050532518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*b - 3*r - 17, -3*r + 3 = b. What is the least common multiple of b and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 9*x - 4. Let f be k(-8). What is the third derivative of -5*h**2 - 7*h**2 + 3*h**f + 13*h**2 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*r + 152 = 65*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 11, -14, 743\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 312, -2, 2\/13, -4, 3\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 2*b - 1 - 9*b**2 + 2*b**2 wrt b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1. Let s(t) = 6*t + 8. Let a(p) = -s(p) + 5*y(p). Let u be a(-5). Solve 5*x + 5 = -2*n - 4, -5*x + u*n - 21 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6))\/(f**(-8)\/f)*(((f*f**(1\/3)\/f)\/f*f)\/f*f)\/(f\/(f*f*f**(-3\/8))) assuming f is positive.\nAnswer: f**(119\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and (20 - 21) + 3 + 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 162 + 131*g - 19 - 4 wrt g.\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4 - 85*d**3 - 12*d**2 + 7 wrt d.\nAnswer: -48*d - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 21.\nAnswer: -23\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -15 + (200 - 308 - (0 - -24)).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3 = -h - 17, -5*h = 2*z - 10. Which is the closest to -2\/3? (a) -4 (b) h (c) 3\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55014517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42271655 rounded to three decimal places?\nAnswer: 0.423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -124 + 1286*l**2 + 400 - 121 - 157. Let y(q) = q. What is f(y(j))?\nAnswer: 1286*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1146*s + 19*s**2 - 1146*s)*(-3 + 3 + 2*s) + 24*s**3 + 0*s**3 - 7*s**3 + (2*s**2 + 4*s**2 - 5*s**2)*(s - 2*s + 2*s).\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4+3.89241413\nAnswer: -0.10758587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 519611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/19)*t\/(t*t\/t**7))\/((t**(2\/7)\/t)\/((t*t\/((t**(-2\/9)\/t)\/t))\/t)))**(-20\/11) assuming t is positive.\nAnswer: t**(-240400\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10*((-36)\/(-15))\/12)\/((-20)\/(-10)). Let t = -0.04 + -0.26. Let m = 0.5 + -0.1. Which is the third smallest value? (a) m (b) u (c) 0 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/24*2\/(-5). Let u = 11 - 12. Which is the fourth biggest value? (a) n (b) -0.2 (c) -2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -158528*n + 3. Let d(i) = -2*i. Give d(k(v)).\nAnswer: 317056*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 + (-320)\/(-56). Let s be (-27)\/t*(1 + -5). Let l(i) = -10*i - 15. Let u be l(-6). Calculate the greatest common divisor of s and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 12*c - 16. Let j = 48 + -33. Is s(j) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24130 (base 10) to base 14\nAnswer: 8b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(2\/3)))**(-3\/4)*(s*s*s*s\/(s*s*s*s\/s**(-2))*s*s)**(-31))\/((s*s**(-5)*s**(2\/9))\/(s\/s**(-4\/3)*s**4*s)) assuming s is positive.\nAnswer: s**(409\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*x = -57, 2*i - i - 42 = -2*x. Suppose i*u + 125 = 33*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -12, 6 in descending order.\nAnswer: 6, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**5 + 2*t - 2*t + (2*t**3 - t**3 - 3*t**3)*(2*t**2 - 5*t + 5*t).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32856 is divided by 505?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:35 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Let x be 1 - (1 + -8)\/(-1). Let y be 2\/(4 + x)*3. Put y, n, -2 in descending order.\nAnswer: n, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*g - 4*g. Let h(u) = 1271*u**2 - 1. Let l be h(g). Calculate the common denominator of -19\/74 and ((-1)\/7)\/1 + l\/168.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 3*s - s + (5 - 1 - 5)*(0*s - 2*s + 5*s) as v*s + m and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**3\/6 + 33*r**2\/2 - 519*r. What is k(17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1196\/7*h**3 + 4000000\/7 - 4\/7*h**4 + 3880000\/7*h - 118800\/7*h**2 = 0.\nAnswer: -1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 + 0 + 504. Let j = x - 202. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*y + 6. Suppose y*p + 207 = 3*j - 0*j, -3*p - 273 = -4*j. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184319111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 921681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 73. Let k(a) = 3*a - 147. Give -4*k(w) + 7*s(w).\nAnswer: 2*w + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/15 + (-321)\/70 + 64\/224?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 1.34. Let l = 0.94 - f. Which is the second biggest value? (a) 0.5 (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + 6*((sqrt(1053) - (-2*sqrt(1053) - sqrt(1053))) + 1) + sqrt(1053) + (sqrt(1053) - (-1 + sqrt(1053))*-6) + 2 + -1*sqrt(1053))**2 + 1.\nAnswer: 1011934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 105? (a) 4 (b) 0.08 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -14. What is the highest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 16\/4 + 487. Suppose -j - 325 = -5*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -78. Let g = -67.9879 - n. What is g rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(170)*6 - sqrt(170)))\/(sqrt(70)\/sqrt(63)) + -4.\nAnswer: -45*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 5 (c) 5\/4 (d) 1833 (e) 0.082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(30)\/(sqrt(24)\/sqrt(4)).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68509013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147053 = -199*x - 146655 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 6\/13 (c) -1\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -9, 1\/6, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76585669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/120 + a**5\/30 - a**4\/3 - 32*a**2. Let i be b(-4). Solve 5*u + 5 - 15 = i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-6)*(-27)\/12. Suppose -4*t + 4 = -5*b + 2, a*b - 4*t + 6 = 0. Suppose 125 = 4*h + 37. Solve 2*d + 3*i - 10 = -b*d, -3*d + 5*i = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -162?\nAnswer: -35\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 12 = 4. Let g = -89 + 94. Let z be 1 - (g - (9 + -5)). Sort z, 3, b.\nAnswer: b, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqq. What is prob of sequence hh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7282 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 29. Let c(o) = -o**2 + o. Let l(m) = 2*m**2 - m - 1. Let q(i) = 7*c(i) + 4*l(i). Let p be q(-5). Solve 0 = 5*w + p + f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6223 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 2, o: 1, u: 13}. Give prob of sequence pu.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*y + 19, -m + 0*y + 2*y + 15 = 0. Let k(t) = t - 13. Let v be k(m). Calculate the least common multiple of (-5)\/v*42\/15 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 183*y**2 - 8*y - 2*y + 2*y + 7*y. Let d(j) = -4*j**2. Calculate f(d(p)).\nAnswer: 2928*p**4 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 116939234 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - b)*(48 + 162 + 37 + 9)*(3*b - b - b) to n + h*b**2 + s*b and give h.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 103926 equal to 103926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1185195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 260*j**3 - 117. Let n(k) be the first derivative of -9*k**4\/4 + 4*k + 2. Suppose 12*x - 61794 + 61842 = 0. Determine x*v(w) - 117*n(w).\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 922519.\nAnswer: -3\/922519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 7. Suppose -q - 11 = 3*c + 7, 4*c + 32 = -4*q. Let t be n(c). Let v(s) = -3*s + 2. Let f be v(t). Solve -1 = 2*w - f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:27 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -7. Let g = u + -11. Let l(c) = c**3 + 5*c**2 + c + 3. Give l(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 3:55 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**5*r - 116*f**4*r - 2*f**3 - f**2*r - 17*f**2 wrt f?\nAnswer: 180*f**2*r - 2784*f*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e6d681 + -7?\nAnswer: 1e6d67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 1 s when three letters picked without replacement from esxshsqhqsssxes.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/160474680 and -61\/720?\nAnswer: 320949360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 308 + -294. Suppose -4*i = -2 - 10. Suppose -3*m = -i*c + 33, 3*c - 2*m - 5 - 29 = 0. Calculate the least common multiple of c and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2847, 2445, 11249, 23565, 39393, 58733?\nAnswer: 81585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3448 is divided by 194?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**2. Let u(i) be the first derivative of 866*i**3\/3 - 2694. What is g(u(o))?\nAnswer: -4499736*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12153?\nAnswer: 3, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84826 and 60590?\nAnswer: 424130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 7*i + 2. Let t be f(7). What is the third derivative of -26*s**6 - 3*s**2 + 32*s**6 + s**t wrt s?\nAnswer: 720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/25 = 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286 and 154.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 + 22 = -4*t. Let b = 53 + t. Let h = b - -27. Is h a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b**5 - b**3 + 0*b + 0*b**4 + 1\/6*b**6 + 2 + 0*b**2. Find the third derivative of a(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855*g**2 - 1405*g**2 + 1002*g**2.\nAnswer: 452*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/151 in -13, 0, 0.25, -39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/51*-6*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + -6*-4*sqrt(187) - sqrt(187)))\/(sqrt(396)*4).\nAnswer: -23*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2241 - -2281. Calculate the highest common factor of w and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -97. Is 1 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**4\/12 + z**3\/2 - 3*z**2. Calculate q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 39 - (-234 + 199).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469220 by -5.\nAnswer: 93844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b6 - -6?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 148005100 to the nearest one million.\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135752 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/((-2 - -1)*2). Suppose n*k + v + 35 = 0, k + 21 = -2*k + 2*v. Let a(z) = -5*z - 7. Does 7 divide a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -14255111 = -185316441\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 23. Suppose -4*i = -5*x - k, 25 = -3*x - 0*i - 2*i. Let l be (-1 - -4) + (x - -5). Sort 2, -1, l in descending order.\nAnswer: l, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/9 + 20*f**3\/3 + 232*f**2\/9 - 368*f + 576 = 0.\nAnswer: -18, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4500792851 + -1.58?\nAnswer: 4500792849.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 10:43 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -7 + 8 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -13827.52 and -0.06 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 28*r - 3. Let y(m) = -m**2 + 19*m - 2. Calculate 5*b(j) - 8*y(j).\nAnswer: -2*j**2 - 12*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:51 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + 4 = -5*o - 36*p, 2*p = -2*o - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155 and 2470.\nAnswer: 76570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*z + 861 - 1085 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81761280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 5*l**2 + 1. Let n be g(-5). Let w = 36 - 30. Let y be (-5 - (-4 - -3)) + w. Sort y, n, -3 in ascending order.\nAnswer: -3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - r + 9. Let u(w) = 8*w**2 - 10*w + 67. Give -6*i(m) + u(m).\nAnswer: -4*m**2 - 4*m + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10306008 - -45?\nAnswer: 10306054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -16*t - 1. Let v(x) be the second derivative of 0*x**2 + 0 - 5\/12*x**4 + 133*x + 0*x**3. Determine v(j(h)).\nAnswer: -1280*h**2 - 160*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*y - 45*y + 26186. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2014410698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -6. Let i be 10*u\/(6\/(-9)). Suppose -y - 54 = -5*o - 3*y, o - y = i. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(13\/(-52)). Let c(m) = -m**3 - m**2 - 3*m - 1. What is c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15143001 (base 6) to base 11\nAnswer: -32a8a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 21*i**2 + 7*i + 45. Let h be o(-4). Let s = h + -349. Solve s*a = 3*j - 17, 8 = -a - 2*j - j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*m - 360 = 600, 3*c - m - 576 = 0. Let v = c - 98. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6165492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(11)*1)**2 + 2 + sqrt(22)\/sqrt(2).\nAnswer: -7*sqrt(11) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303007598 by 5135722.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*p**4*w - 5*p**3*w**2 - 896*p*w**2 - w**2 wrt p.\nAnswer: -360*p**2*w - 30*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(475) - sqrt(475))*-4 - sqrt(475))**2 + (sqrt(19) - sqrt(76)) + -2 + sqrt(228)\/(1*sqrt(12)).\nAnswer: 57473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-90) + 137\/15. What is the highest common factor of s and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 4. Let d(q) = -q - 1. Let v be d(w). Let m(x) = x**3 + 6*x**2 + 5*x + 4. Let k be m(v). Solve -2*y = -5*t + 2 - 4, 0 = 2*y - 2*t + k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -13, -30 in descending order.\nAnswer: 0, -1, -13, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s**2 + 301*s - 90. What is z(25)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(39 + (-18 - 16)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307983*z + 307983*z + 1 - 6*z**3 + 1.\nAnswer: -6*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*x = -168*x - 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*q + 154461*q**2 - 566*q.\nAnswer: 154461*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x - 2. Let h be s(1). Suppose 2*f - h*f + 96 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + -5*sqrt(243)*1 + (((sqrt(243) - (sqrt(243) + -3 + sqrt(243)))*-4)**2 - sqrt(243) - sqrt(243)).\nAnswer: -918*sqrt(3) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vybbbbybbb. What is prob of picking 1 y and 2 b?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(1*sqrt(2916) - sqrt(2916)) + sqrt(2916) + -6*sqrt(2916)*2))\/(sqrt(300) + (sqrt(300)*-2*4 - sqrt(300)) - (sqrt(192)*-1 + 2*sqrt(36)\/sqrt(3))).\nAnswer: 198*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*y - 204, -3*i - y + 118 = -0*y. Let u = 148 + -140. What is the greatest common divisor of u and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1367*g + 440604. Calculate r(-322).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**4*o**2 - 27*l**3*o**3 + 949*o**3 with respect to l.\nAnswer: 16*l**3*o**2 - 81*l**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and 997675.859476.\nAnswer: 997690.859476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73448 - 1?\nAnswer: 73447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277870 is divided by 6614?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -25\/21*i**7 + 1\/12*i**4 + 67*i + 0*i**5 + 0*i**6 + 0*i**3 + 0 + 19\/2*i**2. What is the third derivative of j(b) wrt b?\nAnswer: -3000*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233241 is divided by 33284.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817865 is divided by 408912.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/10*60\/(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8985796 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000212454 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1676 divided by -1\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6157 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*(-7)\/21\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 17 = z - 1, 5*z = -v + 40. Find the common denominator of -65\/2 and (-2 - (-21)\/z)*(-963)\/66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28626*r**2 + 25355*r**2 - 46814*r**2)*(2*r**2 - 2*r**2 - 2*r**2) in the form n*r**2 + h*r + l*r**4 + a + f*r**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1204 by 224.\nAnswer: -43\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 5*h - h + h - 3*h + 5*h + (-6*h + 0*h + 5*h)*(1 + 0 + 1) - 3*h + 3*h - 2*h - 2*h + 1 - 1 in the form b*h + c and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g - 2. Let k be a(-1). Suppose 3*z - z + b - 31 = 0, -68 = -4*z + k*b. Let j = -4 + z. Do j and 13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*y**2 + 0 + (0*y + 2*y - 4*y)*(2*y - 2 + 2) - y**2 - 2*y + 2*y)*(7*y - 2*y + 3*y)*(449 + 1082 + 661) as c*y + j*y**3 + h + l*y**2 and give j.\nAnswer: -52608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 4*p**2 + 2*p + 2. Let m be b(4). Suppose 5*h + 3*i + m = 0, h + 0*h - 2*i = 11. Let z(n) = 18*n**3 + n**2. Does 13 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000185455 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, w: 2, a: 2, s: 6}. Give prob of sequence szaw.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 788830 divided by 6685?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10388 is divided by 152.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (-19)\/(399\/(-76440)) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*p - 23*p + 10*p)*(-3 + 1 + 3) in the form k*p + l and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 347, -3, -2, 102 in ascending order.\nAnswer: -3, -2, 102, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 13066950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -17 + 7 - -552. Let o = 141 - u. Is -408 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17*z. Let o(g) = -1068*g. What is c(o(a))?\nAnswer: -18156*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*r + 447*r + 722*r.\nAnswer: 951*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h + 2*z - 10 = 0, 4*z = h - 22. Suppose -2*l + h*l = 40. What is the smallest common multiple of l and 4*((-1)\/1)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0. Suppose -1 = -5*n + 24. What is the third biggest value in n, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4178272 to the power of 1\/2, to the nearest integer?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(1 + (-14)\/8). Suppose -2 = -h + 3*f + 6, -5*h - 5*f = 0. Suppose 0 = d + w*k + 7, 3*d - 5*k = h + 33. Solve 7 = 3*v + 5*m, 1 = v - d*m + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 2:20 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 281378 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: Let c = 1058 - 639. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let n(j) = 4604*j**2 - 20*j. Let a(z) = -z**2 - 2*z. Let f(y) = 10*a(y) - n(y). Calculate i(f(l)).\nAnswer: -21288996*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 0 - z**2 + 1\/4*z**4 + 6*z + 1\/2*z**3. Let c(q) = q**3 - 7*q**2 - 7*q + 4. What is -3*c(n) - 7*s(n)?\nAnswer: -3*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 38730321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19873\/3 + 6624. Let g = -151\/6 + 25. What is the nearest to 1\/2 in q, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7729, 8164, 9351, 11668, 15493?\nAnswer: 21204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10007?\nAnswer: 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24059 (base 12) in base 11?\nAnswer: -33449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 23477*u**2 - 30*u + 30. Is i(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.63726262 - -0.6374. Round j to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19845 and 2915703?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q + 3. Let b be z(-4). Let c(r) = -r**2 - r**3 - 2 + 4*r + 5 + r**3 - r**b. List the prime factors of c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1334511 and -1334470 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 + -8 + 3. Let s(u) = u**3 + 2*u. Let h(r) = 3*r. Calculate g*s(c) + 2*h(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1892634 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -23705 and -23708 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -2. Suppose t - 4*z = -13, -7 = 3*z - 13. Let g = 23 + -22. Sort -4, t, r, g in increasing order.\nAnswer: t, -4, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*k - t, -5*t = -4*k - 2*t + 29. Let f = 2 - -2. Suppose -5*r = n + k, f*r - 2*n = 3 - 7. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006576 to four dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 254193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 3034230?\nAnswer: -3034240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12923407 is divided by 4307720.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r + 4*r. Let c(x) = x - r*x - x. List the prime factors of c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*x - 5*x - 5*o, -4*x - 3*o = 4. Let y(p) = -13*p**2 - 13*p**x + 24*p**2. Let t(k) = -35*k. Determine y(t(s)).\nAnswer: -2450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 225, 300, 395, 516?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - k. Let h = 13996 + -13944. What is the least common multiple of h and c(-3)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32122 - 609730\/19. Is 31 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-5) - 789\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1208*j + 3102 = -4234 - 30112 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110377488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 106103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 4*2*sqrt(68))*-3)\/((sqrt(72)\/sqrt(3)*2)\/sqrt(6)).\nAnswer: -27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-37620)\/(-5985))\/(((-8)\/14)\/2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -559 + 560. Solve -6*v = n - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-1\/2))\/j)**(-2\/7)*j*j\/((j*j**(1\/17))\/j*j*j)*j*j*j*j**(3\/5))**(-1\/33) assuming j is positive.\nAnswer: j**(-674\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 3*o, 4*f + 0*o + 2*o = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let f be -2*(y + 0)\/(-4). Is 2 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-9576)\/(-363)) + 2\/15*(-410)\/(-328)\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:20 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 4)*(-6*d**3 + 17*d**3 - 50*d**3) in the form u + i*d + f*d**2 + m*d**3 and give m.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11498 = 2*n, -28745 = -5*n - 0*d - 4*d. List the prime factors of n.\nAnswer: 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33181, -66364, -99547?\n\"Answer: -33183*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6670752479 to the nearest integer?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145583130 by -6634.\nAnswer: -21945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - -32972600000?\nAnswer: 32972599999.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y\/y**(16\/5)*y)\/y)))\/y*y**(-2\/7) assuming y is positive.\nAnswer: y**(-122\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 676852199 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let t(f) be the third derivative of 0 + 0*f**4 + 0*f**3 - 1\/20*f**5 + 3*f**2 + 0*f. Determine t(p(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 22*d - 2*d)*(0 + 3 + 0)*(-6*d + 6*d - 2*d**3).\nAnswer: -108*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5198 = 5*i - 77*h + 76*h, -6 = 2*h. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -77*o + 4012. Suppose 4*x = 2*x + l + 166, 4*x - 328 = 3*l. Calculate the highest common factor of x and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 6*n + 3*n - 14*n**3.\nAnswer: -14*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*m + 96 = 191*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 + (3\/(-6) - (-5)\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2018*w + 28287. Give c(14).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 14.837. Let q = 6.82 - 7. Let b = s + q. Round b to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o. Let y(k) = -795*k + 45. Let r(w) = 2*w - 1. Let p(n) = -90*r(n) - 2*y(n). What is c(p(m))?\nAnswer: 5640*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-2))\/t)\/(t*t**(2\/15)*t*t))\/(t*(t**(-1)\/t)\/t)**(9\/2) assuming t is positive.\nAnswer: t**(118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1004 bigger than -1000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(2057) - sqrt(2057)) - (sqrt(2057) + 5*sqrt(2057)*-1))*2 - (sqrt(2057)*-1 + 0 + -5)*-2)**2.\nAnswer: -1320*sqrt(17) + 74152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q**4 + 23*q**3 - 34*q**2 + q - 1341. Let c(s) = -s**4 - s**3 + 8*s**2. Let k(r) = 4*c(r) + i(r). What is the second derivative of k(y) wrt y?\nAnswer: -240*y**2 + 114*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*h + 32*h - 328*h + 93*h + 90*h.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52 - 161*q + 240 + 873*q - 452 wrt q.\nAnswer: 712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkkzkzkkz. Give prob of picking 3 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 9. Let l be x(5). Let t be 17\/(l\/4) + 122. Calculate the highest common divisor of 310 and t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -16*q**7\/7 - 44*q**6\/5 + 63*q**5\/10 + 119*q**4\/8 + 17*q**3\/2 + 9*q**2\/4 - 2*q + 36. What is d in g(d) = 0?\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4 and 41\/11414.\nAnswer: 22828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*v**2 - 2*v**2 + 82*v**4 - 89*v**4 as t*v + h*v**3 + c + l*v**2 + r*v**4 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.085 (b) 2 (c) 4 (d) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 2*y**2 - 9 - 3*y + y**3 + 2*y to l*y**3 + k + r*y**2 + f*y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b*b**2)**(-20)\/((b*b\/(b**(-1\/4)\/b*b)*b*b)**(10\/13))**(-27) assuming b is positive.\nAnswer: b**(605\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 4, e: 2, o: 2, f: 1, b: 1}. Give prob of sequence ieo.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 271*c**3 + 200*c**3 + 278 + 208 - 20*c**3 - 162 wrt c?\nAnswer: 1353*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 - (3 + -4 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 27, -0.5, -9 in descending order.\nAnswer: 27, 0.3, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401 + 124?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/25*(-20)\/8. Let c(x) = -x**2 + 8*x - 3. Let o be c(w). Let i be 7 + o + 54\/(-14). Is i at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.1. Let j be ((-10)\/(-4))\/(22\/(-1320)*-30). Which is the fourth biggest value? (a) j (b) -0.5 (c) y (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) 9 (b) 5 (c) 157 (d) 3 (e) -2\/39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 4*x + 24, 0*x = 4*l - 3*x + 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iifp when four letters picked without replacement from fipffiififpiiipp.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 0*h**2 + 0*h**2)*(0*h - h + 0*h) + 6 + 2*h**3 + h**3 - 5*h**3.\nAnswer: -h**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 2. Let y(h) = -h + 4. Let g be y(6). Let m be t(g). Solve -3*o + o = m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*t + 275 = -201*t + 89*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 14*f**3 + 78 - 4*f + 9*f.\nAnswer: -14*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 907114 and 10291.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 2 - (81 + 1). Let g = w - -120. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 4, 6.\nAnswer: -10, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 354 = -356 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 2720?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4)\/5*1*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -46. Find the third derivative of 14*m**5 + 8*m**x - 30*m**2 + m**2 wrt m.\nAnswer: 1320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55528\/128 - 12\/(-64). Suppose -309 - 351 = -4*q. Let f = b - q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1044 + 1349. What is the greatest common divisor of u and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 2*r + 2*r. Suppose 6*f = 5*p + 5*f - 3, -5*p = 3*f - 11. Let l(g) = -6*g + 8*g + p - 1. What is n(l(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 1. Let u(i) = 7*i**3 + i**2 + 8. Let g(a) = 6*d(a) - u(a). Let h be g(-2). Let q(x) = x - h*x + 5*x - 2*x. Let o(b) = 2*b. Determine o(q(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.382, -5, -118, 0.1.\nAnswer: -118, -5, 0.1, 0.382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h**2)*(-3 + 1 + 3)*((-h + 0 + 0)*(-3 + 1 - 1) - 2*h - 8*h - 5*h) + 9*h**3 - 10*h**3 + 3*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741*w = 4*z - 721*w - 24, -3*w - 5 = -8*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/24*6\/4. Let p = -6 + 8. Suppose p = b + b. Which is bigger: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 13) to base 10\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 6*a + 2. Let j be k(-6). Suppose j*d + 2 - 8 = 0. Let b be 5*(-2 + (d - 0)). What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1471 - -7088. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 58 = 4*p - 88, 4*i = p + 1. Calculate the remainder when 22 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 74*u + 76*u + 7, 0 = -3*u - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b**2 - 3*b + 17. Let j(x) = 3*x**2 - 1 - 7 + x + 2. Let g(f) = 6*a(f) + 17*j(f). Find the second derivative of g(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 1846.93445048?\nAnswer: 1846.53445048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (36 + (-3 - -22)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2621 + 0.0621. Let r = -1 + 0.05. Let c = r + d. What is c rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 - x**4\/4 + x**3\/6 - x**2\/2 + 190*x. Let o be f(3). Which is the nearest to o? (a) 0.9 (b) -2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407954983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4 - 5. Suppose 3*u - 57 = -o. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 52 - 117*y**3 - 55 + 107.\nAnswer: -117*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24564216 (base 7) to base 6\nAnswer: 115310410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 215*v**3 + 5*v**2 + v + 5. Let z(a) = 107*a**3 + 3*a**2 + a + 3. What is 3*b(p) - 5*z(p)?\nAnswer: 110*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pssbsbpbspsbps. Give prob of picking 3 b and 1 p.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11*f**2 + 8*f**3 + 14*f**2 + 1178*f - 1177*f - f**3 + 2*f**3 as a + i*f**2 + l*f**3 + j*f and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -983200 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-15))\/((-3)\/120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 + 6*t + 9. Give l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*g = -1642597 + 263725. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.0132?\nAnswer: -0.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6\/30)\/((-1)\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1711 (base 11) to base 10.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 0 (b) 1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/35*20\/(-8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134351.\nAnswer: 7, 17, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 271309921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*q = q + 33, -3*x = -4*q - 48. Let c = -124 + 79. Let h = c + 80. Calculate the remainder when h is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 183*k**2 - 8280*k - 8464.\nAnswer: -(k - 92)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48 - 0) + 24\/(-40)*-5. Let y be -7 + 5 + -9 + -1 + 2. Let k = y - q. Calculate the highest common factor of k and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.087 milligrams in grams?\nAnswer: 0.884087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*t = -0*t + 11, 3*s - t + 7 = 0. Let c be 1\/(((-5)\/s)\/(-5)). Calculate the remainder when 1 is divided by 4\/(-2)*c\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(((-385)\/(-175) - 2)*4)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24733?\nAnswer: 24733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 11. Let u(l) = 10*l + 1. Calculate u(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 5, 1, -41 in increasing order.\nAnswer: -41, 1, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + s - 1, 519*u = 523*u + 5*s + 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -30 + 34 - 2\/10*24. Let d = -1991 + 1990.9. What is the third biggest value in 2\/15, d, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.76368 + 1.\nAnswer: 0.23632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0307672 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36032408.7*-5.\nAnswer: -180162043.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in decades?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*9)\/(-3) + -2. Let v be a\/(-3) - (-64)\/3. Suppose h = 4*h - v. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 16. Let s(t) = 6*t - 18. Let o be s(u). Calculate the greatest common divisor of 324 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6647)\/(-255))\/(-23))\/(2\/(-5)).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 2742432451.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 22 = -2*p. Let n be (6\/1)\/(-2) - p. Solve -z + n = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(3\/12). Suppose -i = h*i - 21. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11624 + 11628. Calculate the remainder when 2801 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + h + 6 = 0, 5*c - 5*h = 2*c - 5. Let d(o) = -o**3 + 7*o**2 + 7. What is the units digit of d(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 59 - -59 - 130.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 393, -3, -2\/17, 3\/17 in descending order.\nAnswer: 393, 1, 3\/17, -2\/17, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 23998. Let d(v) = -13*v + 95991. Let g(a) = -2*d(a) + 9*u(a). Let o be g(0). Round o to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**3 - 2*h**2 + h. Let t be u(1). Suppose -n + 5*b = -t, 2*n - 3*b = 4 + 6. Factor -8*k**4 + 0*k - k**2 + 7\/2*k**n + 11\/2*k**3 + 0.\nAnswer: k**2*(k - 1)**2*(7*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -154 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2443640 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:20 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)**(-8\/3))**(-2\/3)\/((c\/(c\/(c*c**(-2)))*c**(-6))\/(c**2\/c**(2\/11))) assuming c is positive.\nAnswer: c**(521\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.79 + -0.21. Let t be (0 + 0)*(-8)\/(11 + -3). Is i at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4604 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j + 40 = 22*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 22*v**2 + 22*v - 31. Let m be f(21). Let q be (-26)\/m + (-34)\/(-85). Is (-20834)\/(-77) + q\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 136?\nAnswer: -15\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*x + 5. Let w = 6 - -17. What is the remainder when w is divided by -30*(17\/(-5) + x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 13 + 7. What is the highest common divisor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -79 - 31. Let q = 7 + u. Suppose 7 - 22 = -h. Calculate the remainder when q is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 2066750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 5 - 3*q - 2. Let y(p) be the second derivative of p**2\/2 + p. Let s(c) = r(c) - 2*y(c). Differentiate s(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*y**4 + 660*y**3 + 4*y**2 + 10*y - 5 wrt y?\nAnswer: 168*y + 3960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28040015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9086.52 minutes to hours.\nAnswer: 151.442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -44, 17 in decreasing order.\nAnswer: 17, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37102 and -0.06095.\nAnswer: -2261.3669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 22*u**3 + 10*u**2 + 7*u - 39. List the prime factors of h(4).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + v. Let z(g) = 8*g**2 - 6*g + 125. Let x(d) = 6*s(d) + z(d). Let i(f) be the first derivative of x(f). Let o(p) = 13*p**2. Calculate o(i(a)).\nAnswer: 208*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/348 + -1505\/1044. Let h = o + 83\/45. Which is the closest to 2? (a) 0.5 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 468*b**2 + 15*b - 85. Let p(w) = -w. What is y(p(r))?\nAnswer: 468*r**2 - 15*r - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23301023132 (base 4) to base 5.\nAnswer: -1242210042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80682232 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 5 (c) -1 (d) -5.9 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 10*x + 9. Let d be m(-5). Let f = d + 50. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1428 and 2164236?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5\/7 + 3*p**4\/7 - 12*p**3\/7 - 12*p**2\/7 = 0. What is p?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + w = -8*k - 5921, 3*k = -2*w + 17773. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eueuuuuuuue. Give prob of picking 3 e.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = 4, -4*y - 4*k + 1800 = 0. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 4*o - 9. What is t(12)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64424282789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.114727*-6\nAnswer: 6.688362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 6*a**2 + 6*a + 5. Let t be o(-6). Let w = -15 - t. What is the remainder when 46 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156410000 rounded to the nearest one million?\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -87. Which is the second smallest value? (a) -5 (b) j (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52743874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 + -12 - (-4)\/(-1). Suppose l = -2*q - 4*n + 78, -27 = -q - 3*n + 5*n. Let k = q + -27. Solve -5*v - 31 = -k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -196*a + 1180. Let d be h(6). Let 2\/3*y**2 + d*y + 6 = 0. What is y?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8981 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172 or 2399\/14?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**4\/12 - t**3\/3 + 2*t**2. Let f(o) = o**3 - 7*o - 7. Let u = 3 + -9. Let z = 13 + u. Calculate z*g(w) - 2*f(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*s - 57*s + 11 = 0. Which is greater: s or 2\/867?\nAnswer: 2\/867","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q + 25. Suppose -4*b = -0*b. Is d(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r - 10. Suppose -120 = -5*a + a. Suppose -n - a = 4*n. What is the tens digit of l(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:51 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82368?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 divided by -135?\nAnswer: -104\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 2 - 50\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 14*h - 70. Give i(-8).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/(((-55)\/(-60))\/11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567160 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, k: 1}. What is prob of sequence sssk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, -16755, -4\/9, 0.1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 40*h**2 + 15*h + 930. Let p be o(39). Which is the third smallest value? (a) 993 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k**2 + 38*k - 46. Let j be w(5). Let c(l) = -3 + 1 + 0*l + l. Give c(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30, -25, -12, 15, 62?\n\"Answer: s**3 - 2*s**2 + 4*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 100. Solve 0 = -2*b + 5*b + n - w, -4 = -5*b - 2*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -2. List the prime factors of (-3)\/b*(23 + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1252 + 0.735. Let o = l - -0.0202. What is the smallest value in -0.1, o, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 3*w + 4. Let x be l(4). Find the second derivative of -5*k**2 + 5*k**2 + x*k - k**2 + 3*k wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 474 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/5 (b) 4 (c) -0.1 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-25)*-1)\/(32\/(-60)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324987 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 364 - 86 = 0. Let a be 7*(z\/(-21))\/(-5). Suppose -a*g + 32 = -118. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t + 3. Let b be p(-2). Suppose z = 2*q + 15, -b - 22 = -4*z + 3*q. Solve -v - z = -4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x**2. Let l(h) be the second derivative of -h**4\/2 + 23*h. Give l(m(j)).\nAnswer: -1350*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 - u**2 + 1. Let f(h) = h - 2. Let d be f(4). Suppose 0 = 3*x - 5*x - d. Calculate g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 + 7*s + 208 - 16*s + 9*s + 26*s.\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 8*s - 8589*i + 8586*i = 0, -3*s + 4*i = -i - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-7) - 1) + (-84)\/(-147)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 331 - 102 = 0. Suppose -3*h - 2*f = -535, i = 3*h + 4*f - 304. Let z = 123 - h. What is z rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -33, -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4283, 6485, 8689, 10895?\n\"Answer: a**2 + 2199*a + 2083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 221744 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 3*u**2 + (-62*u**2 + 17*u**2 + 16*u**2)*(1 + 3 - 2) as h + r*u**2 + y*u and give r.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 20267983*u**3 + 20267984*u**3 + 4*u**2 - 3*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - 119. Do -37 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*h**2 - 3 + 3 - 43*h**2.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*g**3 + 1324*g**2 - 27*g - 4521085 wrt g.\nAnswer: 63*g**2 + 2648*g - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*1 - (32 + -29). Let h(f) = 3*f. Let b(z) = z. Let o(m) = -4*b(m) + h(m). Give o(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440014 (base 5) in base 14?\nAnswer: -12c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 45*j - 52*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o. Let m be l(-4). Suppose -m = -0*t - t. Is 16 a factor of (t\/9)\/(2\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 17 + 11)*(65614 - 2*v + 3*v - 64436).\nAnswer: -23*v - 27094","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1640*g + 844. Is f(-3) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y - 36 = 0. Solve 2*z = 4*p + 6, -3*z + p = 4*p + y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8 - 7*r + 15 + 3*r**2 - 25. Let p be l(3). Solve -7 = a - p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**3 - l**2 + l. Let a = 17 + -19. List the prime factors of r(a).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k - 4. Suppose 3*j + 14 = -7. Let b = -7 - j. Calculate g(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/60 + (24 - 8950\/375)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(48)\/(sqrt(8)*-2))\/(sqrt(2) + sqrt(96)\/sqrt(3)))**2)*-3.\nAnswer: -309\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 9695100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 92648 and 44?\nAnswer: 4076512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/15 - -6*8\/360\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 181*s + 21)*(2*s - 1 + 1) + 3*s**2 - 121*s + 121*s as b*s**2 + i + y*s and give b.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08166 and 24.\nAnswer: 1.95984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 9:28 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/5)\/((-112)\/140) + (-35)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 2*r**3\/3 - r**2\/2 + 3*r. What is the units digit of j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c. Suppose -4 = -5*q + 5*o + 26, -3 = -3*o. Let r(b) = 14 + 6*b - 21 + q. Give t(r(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2468609733 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50031 + -33615. Is 38 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -5*s**4\/12 + 85*s**3 - 13005*s**2\/2 + 39*s. Solve n(d) = 0 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -26*r - 2. Let z be f(-6). Let d be (-304)\/(-14) - (-8)\/28. What is the highest common divisor of d and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2. Let v(n) = 73*n**2 + 42*n**2 - 30*n**2. Determine t(v(p)).\nAnswer: 21675*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 384994.466 + -384661. What is n rounded to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 255\/14 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (60\/(-25))\/((-2)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 519552 and 38376?\nAnswer: 6754176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 10:04 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -344, -682, -1006, -1310, -1588, -1834, -2042, -2206?\n\"Answer: w**3 + w**2 - 348*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.62 - 8.4. Let y = i + 0.78. Let m = -49\/2 + 25. Which is the nearest to y? (a) m (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3312\/17353?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1224 and 15708.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -27*x. Let f = 27376 - 27375. Calculate s(f).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*n = 72, k + 114 = -2*k + 5*n. Let f = -30 - k. Suppose 0 = a + d - 3, a - 5*d = -0*a + 3. Solve -a = -f*g + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 26*v = -481. Suppose -v*g - 135 = -46*g. Solve -27 = d - 6*d + 2*p, 4*d + 5*p = g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3016 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23453 - -151?\nAnswer: 24044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + (-70)\/(-9). Suppose c = 2*f + 2*d, 2*f = f + 3*d. Let r(n) = n**3 - 2*n**2 + 1. List the prime factors of r(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -4 + 2\/3*c**3 + 0*c**2 + 0*c - 1\/4*c**4. Determine f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97557, 97561, 97569, 97581, 97597?\nAnswer: 97617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1838 times 0.5\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 27754?\nAnswer: 5\/27754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33519021.\nAnswer: 3, 19, 59, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -462417 - -1889417. Round q to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 272*o**3 + 3756*o**2 + 7112*o - 31360.\nAnswer: -4*(o - 80)*(o - 2)*(o + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164810?\nAnswer: 2, 5, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 396, 420, 458, 516, 600, 716, 870, 1068?\n\"Answer: m**3 + m**2 + 14*m + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -428, -720, -1150, -1784, -2688, -3928, -5570?\nAnswer: -7680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 8:31 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*x**2 + 133*x**2 + 24*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*b - 32 = -0*n, -n - 2*b = 36. Let g = -26 - n. Solve -2*r = 3*m - g*r + 8, 5*r - 6 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (18 - 11) - (-3 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -177*(-3 + (2 - 0))*1. Suppose -10*g + 57 = q. Let p be -2*(-2)\/(4\/(-11)). Is p <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(3\/(-18)). Suppose -4*f + 25 = x, -x - l*f = -0*x - 19. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*20\/(-18)*36\/(-10). Solve 0 = 4*u - 4*l - 4 + g, -2*u - 5*l = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:45 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -3, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 7*u - 20. Let w be m(10). Suppose w*r - 12 + 52 = 0. Calculate the remainder when 16 is divided by (9\/r)\/(5\/(-20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + 0.12. Let q = -8 + 5. Which is the closest to 1\/3? (a) -0.5 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 21 + 116 + -119?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/18*(-6)\/(-6). Let y = 2\/9 + m. Let k be ((-1)\/(-1))\/(6\/(-18)). What is the smallest value in y, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 5508106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let h be m(0). Let q be (2 + -4)*((-182)\/4 - -2). Let t be (-2)\/(-12) + q\/18. Solve f - t = 0, h*a = 2*a - 3*f + 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 0.01, -0.024, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-222)\/1221*-2*154\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 40*k - 153. Let o(i) = 21*i**2. Give t(o(c)).\nAnswer: 1323*c**4 - 840*c**2 - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2968 = -5*m + 2963, -5*f - 2*m = -25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 8. Let b(q) = q**2 + 3*q + 7. Let d(m) = 2*b(m) + 3*r(m). Let w be d(-9). Suppose 5*o = 5, o + 3*o - w = -4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*d**3 + 25*d**3 + 305 + 18*d - 71*d**3 + 21*d**3 + 107 to p*d + j*d**2 + g*d**3 + n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k = 3*j - 3, -5*j = -4*k - 41. Suppose 5*c - j*u + 1 - 11 = 0, 2*c = -3*u - 21. Let x = 7 + c. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.57237 years in centuries?\nAnswer: 0.9457237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 11*u + 5 + 6.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.228833541 to four dps.\nAnswer: 0.2288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:33 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1436162652 divided by 1292\nAnswer: -1111581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.189 - 13.189. Suppose y - 2 - 5 = 0. What is the smallest value in 0.4, l, -2\/9, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w + 34*w - 30*w. Let n(v) = 7*v. Give n(c(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 20545*b + 184676. Determine k(-9).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 395 * -0.06.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b. Suppose b = 3*t - 4*f - 42, -3 = -5*f - 18. What is the greatest common divisor of t and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31465553 (base 7) to base 15\nAnswer: 37ba25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2314432 + 10?\nAnswer: -2314422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -17. Suppose 2*o - 4*o = -20. Calculate the lowest common multiple of o and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 6*w + 6. Let c be -10 - (-5)\/(5\/6). Calculate s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15596 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -20b530?\nAnswer: 20b545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2 = -4*y, -7*y + 10*y = 3*d - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15645 = 8*n - 15987. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 + w**2 + 6*w**2 + (-w**2 + 2*w**2 - 2*w**2)*(1 - 3 + 4) - 3*w + 3*w + w**2 + 5*w**2 + w**2 + 0*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7072 - 7070. What is the closest to b in -7\/29, 0.1, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (8 - 17 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zseszzez. Give prob of sequence zs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -18. Suppose n = 4*b + b. Let u be 2 + (2 - b - 62000). What is u rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18863 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2649243431.\nAnswer: 23, 115184497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 76 - 3*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1465441*x - 1465441*x - 5*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - c**4 + 0*c)*(130 - 342 - 2 - 133) as u*c + i*c**4 + k*c**3 + a + f*c**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 0*z**5 + z + 0*z**4 + 0*z**2 + 1\/3*z**3 + 0*z**6 + 0 + 1\/14*z**7. Find the second derivative of p(w) wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336854.\nAnswer: 2, 7, 24061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**37\/g*(g\/(g**(2\/39)\/g))\/g assuming g is positive.\nAnswer: g**(1441\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.225 at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 22516025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 48297345.\nAnswer: -48297344.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l - 2*l)*(-16*l**3 - 22*l**3 - 5*l**3).\nAnswer: 43*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243 + 142. Let z = -85 - n. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -80*j - 1296. Let i be f(-13). Is -248 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 671 divide 313666110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11736731 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 683671280*n + 58425802387104800.\nAnswer: 2*(n - 170917820)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3469162m?\nAnswer: 346.9162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0*o**(2\/9)*o\/(o*o*((o*o*o\/o**(-3))\/o)\/o*o)*(o*o**(1\/9)\/o)\/o*o assuming o is positive.\nAnswer: o**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 481326359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 427.28749 + 30.67261. Let y = -458 + l. What is y rounded to 3 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 1893936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 22281*r**2 + 42063168*r + 2562296436.\nAnswer: 3*(r + 63)*(r + 3682)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482765 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a factor of 29562240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-9)\/(-54)*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**2 - 171*y - 39. Let z be v(-34). Let x = -0.27 - -0.09. Let d = 0.08 + x. What is the fourth smallest value in d, -2, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -128. Suppose -x*i - 2*i + 5570 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/48 + 62\/(-12). Let a(s) = -2*s + 2. Let m(y) = -y + 1. Determine t*m(q) + 3*a(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(144)*-4 - sqrt(4)) + 3 - 1*(sqrt(320) + 3)*4.\nAnswer: -801*sqrt(5)\/25 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 2848571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -2*d - 56. Suppose k = -4*k + d. Let a = 0 + k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (4 + -1)) + 4 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**3\/6 - 173*p + 3. Let l(h) = 2129*h. Give j(l(b)).\nAnswer: 2129*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16)*s\/(s\/(s\/((s*s\/(s\/(s\/(s**(-1\/2)\/s*s))))\/s))))\/((s**(-2)*s)\/(((s*s**(-2\/41))\/s)\/s)) assuming s is positive.\nAnswer: s**(-1357\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59410916017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 756 and 1989288.\nAnswer: 5967864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114316*c**2*w**2 + 198275*c**2 - c + 150*w**2 + 84 wrt w?\nAnswer: -228632*c**2*w + 300*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b - 402 + 714 = -876 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1223847491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 28 = 4*z, 0 = 3*z - 8*z - h + 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 294399345 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = -40. Let k = a + 1. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531170 is divided by 1613?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11714, -11698, -11682, -11666, -11650?\nAnswer: -11634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 5. Let r be u(2). Let x = 16 + -13. Which is the second biggest value? (a) r (b) x (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 + 35*g**2\/3 + 88*g\/3 - 1452.\nAnswer: (g - 9)*(g + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81624326 or 1?\nAnswer: 81624326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 227 = -2*h, 0*h + 5*h + 220 = 3*g. Is 11 a factor of 5*5\/(g\/96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.847 - 5.977. Let f = 13 + -17.7. Let p = v - f. What is p rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-5 + 1)) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74)\/(-14) + 20\/(-70). Let j = 5 - d. Let s = 12 + j. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 18, 62 = u + 5*o + 104 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/53 - 100\/159. Let q(t) = t - 2. Let p be q(-4). Let m = -8 - p. Is m equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/15)*p**(-5)*p*(p\/(p*p**(-9)))**(2\/53) assuming p is positive.\nAnswer: p**(-2698\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -44601 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 70806, 70712, 70560, 70356, 70106?\n\"Answer: z**3 - 35*z**2 + 4*z + 70836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166 - -87. Let v = -77 - t. Let r(s) = 23*s**3 - 2*s**2 - 3*s + 4. List the prime factors of r(v).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50512 and 2464.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27704748?\nAnswer: 2, 3, 59, 109, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 14*w**4 - 22*w**3 - 20*w**2 + 16*w = 0.\nAnswer: -1, 0, 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*u + 9. Suppose y + 3*j = -u, -6*y = -y - 4*j - 33. Suppose -y*w = x + 4*x - 50, -5*x - 2*w = -65. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 16*g + 11, 0 = 5*g + 13 - 3 - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 2*c**2 - 10*c - 1. Let m(l) = 494*l**3 + 24*l**2 + 50*l + 5. Calculate m(d) + 5*s(d).\nAnswer: 499*d**3 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 57?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - ((-3 - 0) + 6 + -9). Let t be -2 + 762\/g + -5. Suppose h = -5*x + 457, -4*x - 2*h + t = -4*h. What is the remainder when x is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 15, 43, 103, 207, 367?\n\"Answer: 2*s**3 - 2*s**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1507365.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2440000 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5695, -22444, -50337, -89380, -139579, -200940?\nAnswer: -273469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/5)*i)\/(i*i\/(i*i*i**(-1\/6)*i))*((i*i**3)\/i)\/((i*(i*i\/(i**(-3\/5)\/i*i))\/i)\/i*i))**48 assuming i is positive.\nAnswer: i**(344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1610.9923771 - 1478.99237543. Let b = 132 - p. What is b rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5386.794 litres?\nAnswer: 5386794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 divided by 16?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is add5ca + 0?\nAnswer: add5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 412\/7 + -59. What is the nearest to 2 in k, -24, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56.7 - 53. Let p = 4 - r. Let k = p + -0.2. Are k and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-98*p - 93*p + 52*p)*(-1 + 0 - 1 + (-5 + 5 + 1)*(1 + 2 - 2)).\nAnswer: -139*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 22 = 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 9*b**2\/2 + 15*b - 50.\nAnswer: (b - 2)*(b + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100498105.\nAnswer: 5, 37, 543233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 51*s**2 - 10*s + 211. Let x be q(-51). Let o = x - 12255\/17. Which is the biggest value? (a) -9 (b) o (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(8 + 7))\/((-8)\/(-18)) + 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228055.47 hours in days?\nAnswer: 9502.31125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 10434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1993 * -25.466.\nAnswer: 5.0753738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2928?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + k + 2*k = 9, 0 = -5*k + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3776*d**3 - 7*d**2 - 7*d - 4968. Let s(u) = 1250*u**3 - 2*u**2 - 2*u - 1656. Let a(h) = 7*s(h) - 2*x(h). Differentiate a(q) with respect to q.\nAnswer: 3594*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4074445319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.8 + -27.2. Is -9 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*v + 43 - 89 = 1762 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -10. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30\/1657 in 0.4, -0.11, -4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113754 + -113755. Let o(a) = 1. Let k = -3 - -1. Let l(g) = 1 + 3*g - 2*g**2 - 4 + 1. Determine k*o(n) + z*l(n).\nAnswer: 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y + 3*j, 67*j = y + 72*j + 26. Let f(v) = -5*v**2 - 9*v + 6. What is f(y)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 6*a**2 + 6*a + 7. Let o be s(-5). Suppose 46 = 2*v - o*y, -3*v + 4 = -4*y - 67. What is the remainder when 81 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 21202?\nAnswer: -21211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, l: 1, s: 9, c: 4, j: 3}. What is prob of picking 2 j and 2 c?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42024 is divided by 619.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -11. Suppose -d = 5*r - 11 - h, -r + 19 = 2*d. Let a(v) = v**3 - 7*v**2 - 5*v - 11. What is the tens digit of a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -16.0005. Round o to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 28, -4, 2, -3.\nAnswer: -4, -3, 1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 98\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(475) - -5*sqrt(475)*4)**2.\nAnswer: 209475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -23, 0.1, 10, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (0 + 0)) + -1. Let x(q) = 16*q + 117. Let v be x(-7). Suppose 0 = c + 3*d - 10, -v*c - 5*d + d = -28. Is c at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1296 + -179881771.\nAnswer: -179881771.1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.91 + -3.09. Let o = 0.2 + -0.1. Which is the closest to o? (a) r (b) -2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 408 + m**2 + m**2 + 6*m - 412. Let t be 4\/(-6) - 13\/3. Give q(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4710882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*b - 119, -b - 4 = -2*b. Let f = 161 + m. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -17. Let k(a) = 6*a**3 - 4*a**2 + 16*a - 13. Let y(n) = n**3 + n**2 + n - 1. Let i(j) = h*y(j) - k(j). What is the tens digit of i(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 - 2618*h**3*y + h*y + 4*h - 2*y + 1 wrt h.\nAnswer: -12*h**2 - 15708*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -6106.\nAnswer: 5\/3053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 10*c - 5. Let w be p(10). Let r = 236 + w. What are the prime factors of r?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*w - 86*w - 87*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 43\/2801, -1, 0 in ascending order.\nAnswer: -1, 0, 43\/2801, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 375.7297 milligrams?\nAnswer: 375729.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 173, 372, 569, 764, 957, 1148?\n\"Answer: -j**2 + 202*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3847977975 to the power of 1\/2, to the nearest integer?\nAnswer: 62032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49499 * 2.\nAnswer: -98998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, -8, 547, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1761575\nAnswer: 1\/352315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 9*h - 7*h + 26, 0 = 5*o - 4*h - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/122 and -13\/24.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 3) + (0 - -2). Suppose f = -2*p - 3*p + 50. Calculate the greatest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*j**3 + 48*j**3 + 32*j**3.\nAnswer: 126*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -637, 3, 4, -64067 in increasing order.\nAnswer: -64067, -637, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**7\/21 + 13*l**6\/15 - 35*l**4\/3 + l**2 - 116*l. What is the third derivative of r(g) wrt g?\nAnswer: -120*g**2 + 624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 + 101. Suppose -4*g = -19 - 1. Solve 2*u = -f*v + 5*v + 3, -u + g = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 68. Suppose 18*m + 429 = 69. Determine b(m).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6711778 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 38012685+45320.7\nAnswer: 38058005.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 14. Let o = 1823 - 1825. Let b be (8\/j)\/(o\/2). Solve -5*n = 4*x + 2 + b, 2*x = -2*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {r: 12, z: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*g**5 + 920*g**4 - 5*g**3\/2 - 115*g**2\/2 = 0. What is g?\nAnswer: -23, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 y when four letters picked without replacement from yhhhwwhhwwwy.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-11 - -6) + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 4*u**2 - 49*u + 113752000. Let f be h(0). What is f rounded to the nearest one million?\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*w - 710*w - 458*w + 6276 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**3\/3 + 9*g**2 + 3*g - 9. Let i be b(-18). Solve z = 5*x + 1, 8*z - 4 = 4*z - i*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/5 - (-31 + 24)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**9)\/s*s)\/s*s*s**(-6\/5)\/s*s)**(1\/53)*s*s**6*s*s**(-7)*s**(2\/5)*s*s**0 assuming s is positive.\nAnswer: s**(119\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -118, -172, -228?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53129759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506 + 82*a**2 - 38*a**2 + 502 - 40*a**2.\nAnswer: 4*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*f = -53 - 321 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.22 - 0.03. Let q = -18.75 + u. Let g = -19.00000065 - q. What is g rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2750 <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333794*h - 333794*h - 3*h**3 + 0*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -60 - (13 + -12) - 0. Suppose 0 = -3*r - 3*z + 180, r + 5*z - 68 = -0*z. Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -2\/291, 0.23, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -382679929 + 382679900.99999992. Let s = -67 - -39. Let p = s - a. Round p to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*u - 3)*(6*u + 8*u - 12*u - 116)*(3*u - 23 + 23).\nAnswer: -24*u**3 + 1392*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -148.87113076\nAnswer: 137.87113076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1068 - 11*w**2 + 2*w**2 - 12*w**2 + w**2 - 1095 to the form x*w**2 + c*w + h and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 3. Let o = -27 + 32. Suppose -o*g + 3 = 13. What is x(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/205 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0844 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.44577 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-2)\/(-2))\/(-1). Suppose u + 20 = 2*w - 0, -u = w - 10. Solve d + 5*g - 15 = v, -4*g + w = g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**3 + 2*i**2 - i. Suppose j + 10 = 2*b, -8 = 3*b - 2*j - 24. Suppose 2*y + 3 = 3*u, b*u = u + 3*y + 3. What are the prime factors of h(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**4*p - 38353*b**4 - b**2*p + 287*b*p - 1346*p wrt b.\nAnswer: 72*b**2*p - 460236*b**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 38 = -2*b, 48 = -108*b + 112*b - 3*t. What is the highest common divisor of 2559 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 594359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f + 1. Let g(x) = -6*x**2 + 6*x - 2. Let t(k) = g(k) + 4*m(k). Let l be t(2). What is the least common multiple of 8 and (-3)\/6 + (-5)\/l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1 - 5) - (-4 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/862 and -5\/16?\nAnswer: 6896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -47. Suppose 4*g + s*h = 0, 0 = 6*g - g - 2*h - 33. Suppose -g*n + 68 = -n. What is the remainder when 64 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51705 is divided by 74.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v = 54*v + 84. What are the prime factors of 2\/14 + (-51570)\/v?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 32*g - 599. Let f(n) = -16*n + 327. Give -11*f(q) - 6*y(q).\nAnswer: -16*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from {e: 4, h: 3, r: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 9 = -z + 3*z + 99, -a + 5 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201 and 2747?\nAnswer: 8241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -36530 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.78 + -0.48. Let q = -1.30000052 + h. What is q rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210800)\/(-3162))\/((-10)\/(-12)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3424 + 7255. Calculate the greatest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -31066616 <= -31066620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**4 - 24*s**3 + 693*s. Let l(c) = -2*c**4 - 27*c**3 + 690*c. Let x(i) = 5*l(i) - 6*u(i). Find the second derivative of x(n) wrt n.\nAnswer: 96*n**2 + 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 49*z**2 + 1775. Let b(n) = -31*n**2 - 1183. Calculate 8*b(k) + 5*p(k).\nAnswer: -3*k**2 - 589","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c - 6 + 6)*(-79*c**2 - 123*c + 123*c) + 2*c**3 - 3*c**3 - 2*c**3.\nAnswer: 471*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.300138ug to tonnes.\nAnswer: 0.000000000000300138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.5, -0.44, -9 in decreasing order.\nAnswer: 1\/2, -0.44, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/5 - 3099*a**4\/5 - 2368134*a**3\/5 - 531189184*a**2\/5 + 1614964512*a\/5 = 0.\nAnswer: -2086, -508, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*i - 205*i + 102*i - 4 to the form n + u*i and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -1, 77.\nAnswer: -10, -2, -1, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -b229b5 (base 15) in base 3?\nAnswer: -120220222111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 4.141?\nAnswer: -3.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + 10 - (-28 + 19 + 21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1577143*a. Let s(g) = -8*g. Calculate s(f(i)).\nAnswer: -12617144*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from madmrmddddmdmdad?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.09 - 4.01. Let n = d + 5.9. Sort -0.056, 0.3, n in increasing order.\nAnswer: n, -0.056, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 60593 + 60233 = 0 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, -14, 188, 4, -5.\nAnswer: -188, -14, -5, 4, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 6:15 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19494 times 669.3?\nAnswer: -13047334.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 + 357*m**2 + 175*m - 514. Determine p(-178).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.23084mg in nanograms?\nAnswer: 72230840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -221*b**2*u - 6822*b**2 + 56*b*u - 15 wrt u?\nAnswer: -221*b**2 + 56*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7053 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*k + 2)*(2 + 1 - 2) + (7*k - 24 + 24)*(0 + 3 - 2).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:16 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 167.57?\nAnswer: 11.7299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and -91?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20956387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.1 take away 0.14496?\nAnswer: 11.95504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82245*m**4 - 46051*m wrt m?\nAnswer: 986940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 f when three letters picked without replacement from {f: 10, b: 1, t: 2, g: 1}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.44 and 1271.\nAnswer: -4372.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l + 309. Determine t(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + 31. What is the lowest common multiple of t and 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*q + 2292 = 48*q + 72 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 320358 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 123067.18 times -2\nAnswer: -246134.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143\/3 - 48. Suppose -7*g - x + 1 = -8*g, 2*g - 4*x = -12. Which is the nearest to o? (a) 5 (b) g (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 5*v + 6. Let u be n(-6). Let g(m) = m**2 - 3. Let w be g(u). Let d = w - -6. Solve 2*i - 4*f = -28, i + d*f = 2 + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/p**(-7)*p*p))**(36\/11)\/(p*p*p**13*(p*p*p**4*p*p)\/p*p))**(-9) assuming p is positive.\nAnswer: p**(5517\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 0 - 6 - m + 5. Let g(v) = 4*v**2 - 5*v + 5. Suppose -59*q = -63*q - 8. Let h(u) = q*g(u) - 10*l(u). Determine d so that h(d) = 0.\nAnswer: 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 2 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012195971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + k - 1. Let j(z) = -4*z**2 + 5*z - 2. Determine -j(o) + 5*y(o).\nAnswer: -o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46*-0.2.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (1\/8 + 49323\/2952).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -215, -366, -493, -584, -627, -610?\n\"Answer: 2*i**3 - 165*i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 8*k**2 + 2*k - 12. Let f be q(8). Let j(w) = 6 - w + 22 + w**3 + 0*w**3. Let g be j(0). Solve -p + 6*p - g = -f*i, 0 = -5*i - 4*p + 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x + 15 = 0. Let f be (-1 - -1) + 2 - -2. Sort f, 1, x in descending order.\nAnswer: f, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 43887056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnytrht. What is prob of sequence ft?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + g)*(2*g + 0*g - 4*g) + 0*g + 2*g**2 + 0*g - 3*g**2 + 6*g**2 - 5*g**2 - 91*g + 20*g - 80*g + 5*g**2 - 4*g.\nAnswer: 9*g**2 - 155*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -65*(-208)\/39 - 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = 3*t + 40, -68 = 4*t - c. Let i = -11 - t. Solve -i*z - 7 = -q, 0 = -z + 4*z + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -1.8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 2, o: 1, w: 1, d: 2}. Give prob of picking 2 e and 1 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 953399.\nAnswer: -953392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bccchhhbfhbibh. Give prob of picking 1 c and 1 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6913 is divided by 3115?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2 - 52*a + 1. Give r(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*z + 13*z - 7*z)*(-5 - 3 + 6)*(-1 + 3 + 2) to the form a + j*z and give j.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1280\/(-79360) - 807\/(-3906) - (-4)\/6.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/3 + 68210*h\/3 + 68204 = 0. Calculate h.\nAnswer: -34102, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*a**3 - 1173 + 18*a**2 + 1173 wrt a?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58126361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -10. Let o = -4 - t. Suppose -3*n = -5*j + 104, -j + 31 = -o*n - 4*n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123395.\nAnswer: 5, 23, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7ce9 - -1bd0?\nAnswer: -6119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-28)*8\/6*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702554566?\nAnswer: 2, 7, 50182469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/162*(-9)\/(-32))\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k**5 - 3016*k**4 - 71278*k**3 - 420068*k**2 - 156816*k = 0. What is k?\nAnswer: -11, -2\/5, 0, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44721*x**3 + 44762*x**3 - 89481*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/50 (b) 0.1 (c) 1 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 - -277\/4. Which is the biggest value? (a) -8 (b) y (c) 0.5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*q**3 - 31*q**3 + 7*q**3 - 4*q.\nAnswer: 22*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -354? (a) -0.2 (b) 1\/766 (c) 5 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 19*j + 425. What is b(-23)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-521700)\/(-65) - 2\/13. Let y = r + -3755. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25)\/((-100)\/1623168) + -7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 12:44 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*t - 29 = 0, -4*t - 25 = -26*v + 25*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648\/5*k + 294\/5*k**3 - 96\/5 - 1008\/5*k**2 = 0. Calculate k.\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 13) to base 8\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575) + 2)*-4*3)**2*-6*6.\nAnswer: -8185536 - 311040*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -746?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f - 3*f - 2*f + 0*f. Let m(y) = 3*y - 1. Let p(o) = o**3 + 64*o**2 - 279*o + 30. Let a be p(4). Determine a*j(u) + m(u).\nAnswer: 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -37*q - 156. What is the hundreds digit of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1224)*3)\/(sqrt(864)\/sqrt(12))*3)**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35013 (base 11) to base 3.\nAnswer: -2120101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27028169.\nAnswer: 7, 3861167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1109527, -2, 5 in descending order.\nAnswer: 5, -1, -2, -1109527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27160?\nAnswer: 2, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a factor of 16604406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800 + 244 = 196*w + 260. What is the highest common factor of w and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * 0.205.\nAnswer: 0.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31997?\nAnswer: 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:14 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(t**5 + t**5 + 3*t**5) + (-4*t**2 - t**2 + t**2)*(7*t**3 + 8*t**3 - 9*t**3).\nAnswer: -29*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 8*b**2 - 10*b - 4. Let p(f) = -5*f + 1. Let r be p(2). Give y(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 514 - 138. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3159839521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(sqrt(72) - (sqrt(72) + sqrt(72)*4))*-4*5 + 4.\nAnswer: -7200*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6389.\nAnswer: 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**3 - c**2 - 1 - 4*c**2 - c**3 + 3*c - 7*c**3. Let n(r) = -r**2 + r. What is f(q) - 5*n(q)?\nAnswer: -3*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7062 (base 8) to base 2.\nAnswer: -111000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*j - 18 = 3*r - 0*j + 78, -4*j - 1302 = -1286 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6812 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - i**2 - i - 19. Let m be r(0). Suppose -14 = h + 18. Let t = m - h. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.4 - 10.41118. What is v rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 7*r + 3. Let y(j) = -8*j + 4. Let f(k) = 4*n(k) - 3*y(k). What is s in f(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 - 0.31. Let z = -1.4 - y. Let t = -14.5 - -15. What is the nearest to z in -1, t, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -6975, 131 in ascending order.\nAnswer: -6975, -4, 2, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*4 - sqrt(352))\/(sqrt(768)\/sqrt(6)))**2 - ((sqrt(132) - (-4*-3*sqrt(132) + sqrt(132)))\/(-1*sqrt(588)))**2.\nAnswer: -1485\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204360 = -2883*l + 10743*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*a**3*d*h + 2*a**3*d - 213734*a**3 + 16*a**2*d + 2*a**2 - 2*a - 39272*h wrt h.\nAnswer: 43*a**3*d - 39272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (7 - 1 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiskswpwxixiwssxis. Give prob of sequence sxsp.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 - 2 + m + 5 + 0 + 0 to the form s + l*m**2 + r*m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 - 1 = -4*z, 0 = -2*b - 2*z + 18. Suppose -5*m = -2*d - 208, -b*d - 141 - 22 = -4*m. Let q = -28 + m. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szqz when four letters picked without replacement from {s: 3, z: 3, q: 13}?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.26 * -0.0307646\nAnswer: -0.069527996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(-2 + sqrt(17) + sqrt(17) + 0 + sqrt(17) + 3*sqrt(68)\/sqrt(4)))**2.\nAnswer: -46200 + 1800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5\/u**12)\/(u**(-3)\/u*u)**33)**48 assuming u is positive.\nAnswer: u**4416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0081809 rounded to four dps?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 (base 8) in base 11?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4 - 2 + 1 + 29*l**2 - 2. Let o be d(-1). Suppose -n + 3*u + o = 0, 0 = -2*n + n - 4*u + 9. What is the remainder when n is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:39 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62134297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3763 times -955?\nAnswer: 3593665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - (246 + -103) - -112.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1545 = -69*v + 84*v. Is v bigger than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12873874.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 7:33 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/7)\/s**14*(s*s**(2\/9)*s)**(17\/2) assuming s is positive.\nAnswer: s**(290\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -60*x + 1118. Let g be j(18). Solve 4*n - 40*v + g*v + 22 = 0, 2*v + 2 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2308051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -86, -122, -158, -194, -230?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 6:32 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 397*k - 2. Let o(z) = -26277*z + 133. Let i(r) = 6*o(r) + 399*s(r). Let y(x) = -2*x. Calculate i(y(g)).\nAnswer: -1482*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -90*o - 23. Let p(n) = n**2 - n + 82. Let c(z) = 8*z**2 - 6*z + 492. Let j(b) = -c(b) + 6*p(b). Determine f(j(r)).\nAnswer: 180*r**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 10) to base 9.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*m - m. Suppose -2*g + m = g. Solve -g*v + 1 = -8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 7*w + 756. Let t = w + 22. Let l = t + 62. Solve l = -2*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 8, t + 23 = 3*c - t. Suppose 2*x + 4*q + 10 = 0, -3*q = 2*x - 0*x + c. Put 3, 0, x in increasing order.\nAnswer: 0, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 280 = s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 9 - 10)*(l - 4*l + 0*l) in the form d + u*l and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -231, -231, -225, -207, -171?\n\"Answer: o**3 - 3*o**2 + 2*o - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**6\/165 + i**5\/110 + i**4\/66 - i**3\/33 - 13*i. Let x(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*8\/72*-117?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*t = 44, 6*a + 3*t = 11*a - 75. Let r = 23 + a. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*1\/2 - (-39 + 2). Sort -2, 4, l in descending order.\nAnswer: l, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 403.344 - 401. Let j = 2.5 - s. What is j rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -260, -757, -1502, -2495, -3736, -5225?\n\"Answer: -124*y**2 - 125*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 2, a: 2}. Give prob of sequence zaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -20 - (12 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-47)\/(-3) - 1) + (-8)\/12. Suppose -109 + 4 = 3*z. Let h be (-10)\/z - 2\/q. Is -2 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**3\/6 - 2*q - 9. Let z(s) = -25*s - 6. Let b(c) = 525*c + 125. Let j(h) = 6*b(h) + 125*z(h). What is j(y(u))?\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (10\/(-2) + 903\/172)*25468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 0*w + 3*w + w + 0*w + w + w - 3*w + 3*w + (5*w - 2 + 2)*(1 - 4 + 0) + (-2*w + 0*w + 0*w)*(-1 + 10 - 2).\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2659, -5324, -7991, -10660, -13331?\nAnswer: -16004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*t - 101*t - 2391 + 7*t + 2391 as c*t + v and give c.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -32, -98, -198?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 480453.603901 + 58700.396083. Let g = 539149 - o. Let w = g - -5. What is w rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2131, -4920, -7709, -10498, -13287, -16076?\n\"Answer: -2789*z + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.49 + 0.034.\nAnswer: 4.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 30 + 14. Let f(j) = j + 3. Let z be (-1)\/(-3) - (-16)\/6. What is the remainder when f(z) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020785434 rounded to 6 dps?\nAnswer: -0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9727075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89\/2 - -45. What is the third biggest value in -1, -4, 9, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 12*v**2 + 13*v + 8. Give z(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**6*x\/(x\/x**5)*x*(x\/((x\/(x**0*x))\/x))**(-23\/3))**(-2\/27) assuming x is positive.\nAnswer: x**(86\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -37*k**3 + 3*k**2 + 7*k - 1. Let m(h) = -36*h**3 + 2*h**2 + 6*h - 1. What is 4*b(p) - 5*m(p)?\nAnswer: 32*p**3 + 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 10. Suppose -l = 5 + 1. Let k be 7 - l\/(-4 - -1). Is m(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**2 - 19\/3*i**3 + 2*i + 0*i**5 + 0 - 1\/60*i**6 - 1\/6*i**7 + 0*i**4. What is the first derivative of p(w) wrt w?\nAnswer: -140*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 633 + -521. Suppose -132*y = -n*y - 1280. Calculate the lowest common multiple of y and 20.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2110 + -21?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/53, 498, 3?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from llmmlmjmdldmlmmdj.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -248165 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(11) + sqrt(44)\/(sqrt(20)\/sqrt(5)) + sqrt(99)\/(sqrt(324)*-2))**2 + -5.\nAnswer: 188051\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - -16.92. Let c = 16.8 - d. What is the second biggest value in c, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c - 7. Let g be (15\/(-6) + 2)*-4. Is 21 a factor of a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143\/3 - 48. Let j = 323 - 349. Let r be j\/(-18) + (-46)\/46. What is the third smallest value in r, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96192?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 392.6 in -2\/5, 0.1, 2\/19, -2\/11, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -8. Let f = -7 + h. Suppose f = 3*z + 5 + 1. Sort 2\/7, 1\/5, z in increasing order.\nAnswer: z, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83850947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.0347 - -0.0347. Suppose 0*p + 3*k - 10 = -p, -3*p + 4*k = 35. Which is the nearest to -2? (a) l (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 11. Let w(k) = 2 + k**b - 2 + 0. Let r(l) = -7*l**2 + l. Determine r(w(q)).\nAnswer: -7*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1752266, -3504436, -5256606, -7008776, -8760946, -10513116?\n\"Answer: -1752170*o - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, m: 9}. What is prob of sequence mmee?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 8*m**2 + 10*m - 5. Let k be q(-7). Let n be (12\/(-14))\/(k\/(-182)). Let u(w) = -w**2 - 6*w + 4. Let d be u(n). Solve d*l = 2*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(2\/15)*j*j)\/j)**(-2\/81)\/(j\/((j**(-4)*j)\/j))**(-2\/11))**20 assuming j is positive.\nAnswer: j**(45784\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - f - 69, 2*f = 2*g - 2*f - 24. Suppose -g*y = -19*y + 4. What is the highest common divisor of y and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*f)*(-399 + 282 - 417).\nAnswer: -1068*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3827)\/(-5) + 8\/(-20). Suppose -13*y + 8*y + f = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 842*j**2 + 2*j**3 + 9*j**3 - 842*j**2.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*t, 2*t = b + 69 + 73. Let y = 280 + b. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 + 2 - (5 - 7) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.846833 tonnes in milligrams?\nAnswer: 1846833000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1307 - 489. Let d = n - -1458. Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1216688 and 7\/55304?\nAnswer: 1216688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*v + 479 + 1189. Solve -3*a = -5*t - v, -16*a - 4 = -17*a + t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2. Suppose 2*l = -4 + 54. Let j(n) = 8*n - l*n + 2*n. Give j(x(i)).\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/(-451) - (-604)\/(-44) - -14.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224244946.\nAnswer: 2, 673, 166601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 4*b**2 + b - 2. Let m be q(-2). What is the tens digit of 2\/m - 75\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 - 4*v**5 + 3*v**5 + (-v**5 + 6*v**5 - 3*v**5)*(-5 + 0 + 3).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 7, -5, 30, -612 in decreasing order.\nAnswer: 30, 23, 7, -5, -612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.6006 to two dps.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 - -146. Let s be ((-2)\/6)\/((-2)\/12). What is the remainder when q is divided by 14\/4*1*s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 733314633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -64b87 (base 13) in base 9?\nAnswer: -306740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 3, -5, 1 in ascending order.\nAnswer: -5, 1, 3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, -60, -130, -200?\n\"Answer: -70*k + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2192 and 591640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105507141*c**3 - 72884834*c wrt c.\nAnswer: 633042846*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from rgrjgjjggjjggjjgjg?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 27694 = -2*v - 12414, 5*z + 40153 = -2*v. Let d be v\/(-60) - 4\/10. What is the units digit of (d\/(-3))\/(14\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 56 (b) 18 (c) 2 (d) -0.02 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5.1. Let d = u + -0.8. What is the nearest to 1 in 1\/3, -2\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -136?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 d when three letters picked without replacement from {m: 10, w: 4, d: 6}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2536106605 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.05 - -7.52. Let k = v + -3.2. What is k rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(2*z + z + 2*z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -685757 * -0.07\nAnswer: 48002.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -80\/9?\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1549, -3, 38.\nAnswer: -1549, -3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15679, 15684, 15691, 15700, 15711, 15724, 15739?\n\"Answer: a**2 + 2*a + 15676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 2*c**3\/3 - 5*c**2\/2 + 2*c - 1. Let j = 68 - 64. What are the prime factors of z(j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4 + 4 + 2*v + 2*v - 6*v + (-3 + 5 + 0)*(2*v + 2*v - 6*v) + 2*v + 4 - 4 - 3 - 2*v + 3)*(-3*v + 0*v**2 - 2*v**2 + 3*v**2).\nAnswer: -5*v**3 + 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -387 * -4.\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.218 + -0.271. Let j = 2.489 + h. Sort j, -8, 2\/5 in decreasing order.\nAnswer: j, 2\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (304 - 297 - (2 + 50)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730183379 to the power of 1\/2, to the nearest integer?\nAnswer: 52251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3\/4 + 10141497*i**2\/4 + 20283003*i\/4 + 10141503\/4 = 0 for i.\nAnswer: -1, 3380501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 3:40 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6280 = 4*a, i + 2*i + 3*a + 9423 = 0. Round i to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52504983 to the power of 1\/2, to the nearest integer?\nAnswer: 7246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -379*i - 406*i = -118*i + 277*i + 41536 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 4*u - 1. Let n be f(-5). Let v(m) = -n*m + 4*m - 7*m**2. Let j(x) = -3 - 3 + x + 6. Give v(j(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1450\/174 + 6 + (-22)\/4*2\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by 2.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 + 2*m. Let n(u) = -u - 1. Let a be n(1). Let b be q(a). What is the units digit of (-9)\/(-6)*(b - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2825547 is divided by 201823.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 276 - 1033. Let v = w + 774. Solve -m = -4*q - 19, m = -4*q - q - v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-two fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 970 - 976 = -b, 0 = -3*b - i - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2 - 98*u + 2896 with respect to u.\nAnswer: 4*u - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -404*d**4\/3 + 32188*d**3 - 251656*d**2 + 1508096*d\/3 - 9856 = 0?\nAnswer: 2\/101, 4, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -be3cad4?\nAnswer: be3cacc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*t**2 - 112\/9*t.\nAnswer: 2*t*(9*t - 56)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - u**4 + u**4)*(-1 + 1 - u) + 4*u**5 - 2*u**5 + 4*u**5 - 7*u + 4*u**5 + 6*u - 2*u**5 - 3.\nAnswer: 7*u**5 - u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -77. Suppose 2*o - q = -15. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 42, 16, 3, -1, 24 in decreasing order.\nAnswer: 42, 24, 17, 16, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14604 is divided by 162?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6518 - 6080. What is the greatest common divisor of 5475 and v?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/15005*40\/(-12). Let h = -657131\/396132 - y. Calculate the common denominator of -13\/8 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014448249 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 637579*s - 637579*s - 49*s**2 - 14.\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 0*g**3 + 2*g**3)*((-5 + 1 + 1)*(2 - 5 + 5) - 1 - 2 + 5 + 1 + 0 + 1).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0 + (-3 - 4 + 6)*(5 + 2 + 0) + 4 - 4 - 1)*(141 + 2*u + 151 - 283).\nAnswer: -12*u - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1249\/24 + -231\/8. Let p = 183191\/22 - 8324. Find the common denominator of r and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eseeeesseeseeeeeseee. Give prob of sequence eees.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*t + 51*t - 4*j = -2, -5*j - 10 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-2329)\/765)*(16 - -4).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 - 23*a - 15. Let g be t(-5). Let z be (70\/g)\/(20\/(-1450)). What is the greatest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1824+-2574\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16405*b = 16395*b + 5*l - 25, 4*l - 28 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2. Let t(x) = 3*x - 8. Let r be t(5). Let l(v) = -r*v**2 + 3*v**2 + 6*v**2. What is l(n(p))?\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4484 or -4482?\nAnswer: -4482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18611517 divided by -22?\nAnswer: 18611517\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 13*d - 9. Suppose r = 1 + 2. Suppose x + r + 4 = 0. Let u be p(x). Calculate the highest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -66, -184, -412, -786?\n\"Answer: -6*b**3 - b**2 + b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miaauaaxaxxa. What is prob of sequence uii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10490325*q**4 - 4626941?\nAnswer: -41961300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -786*l + 6293. Let t be r(8). Solve -t*q = 4*f - 37, -4*q - 65*f + 35 = -60*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -10. Suppose -31 = -h*w + 4*f + 78, -2*w = -3*f - 45. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(300)*-1))**2.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Let z(t) = 0 - t - 2 + 2*t - 1. Let o(p) = -1. Suppose -3*w - 18 + 6 = 0. Give f*z(d) + w*o(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-523)\/523 + (2\/6)\/(14\/30).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 + 0 + -330 + 318. Solve h*n = 4*u - 23, -50*n + 46*n - u - 10 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w**3 + 751*w**2 + 94*w + 55. Give k(94).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 8\/32 + 166\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.68 + -16.48. Is -897 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 6:58 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1722*q**2 + 1633*q**3 + 3497*q**2 + 3 - 1752*q**2 - 3 - 3 wrt q.\nAnswer: 9798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2075.8 to the nearest 10.\nAnswer: -2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4050) - (sqrt(4050) + 2) - ((sqrt(150) - (sqrt(150)*1 + sqrt(150))) + sqrt(150) + sqrt(150))\/sqrt(3).\nAnswer: -5*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2141212 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 -90*k - 2716 = -284*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 7:27 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/(-126)*1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let p = -11 - -12. Which is the closest to q? (a) p (b) 2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 26*a + 4 + 5.\nAnswer: 26*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/5 + -6 + (-8)\/(-2) + 4. What is the third biggest value in 2, -4\/3, 1.5, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -793a (base 12) to base 16\nAnswer: -347e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163 (base 11) in base 4?\nAnswer: 1001113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8777590*z**2 + 2255254 with respect to z.\nAnswer: 17555180*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813166?\nAnswer: 2, 3, 373, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -386811 divided by -128937?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2 + 224\/(-80).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - (-23 + -8 + 3 - 1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1168051 = 554*l - 1152539 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1002 divide 615051648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 28*u**2 + 299*u + 4. What is m(-11)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148*l**2 - 3852*l - 3888.\nAnswer: 4*(l - 27)*(37*l + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 - z**3 + 9 + 2*z - 13*z**2 - z + 9*z**2 - 6*z. Let q = -9 - -2. Calculate w(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, 10.\nAnswer: 1, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*w = 34*w - 310 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 16*x**2 - 121*x + 890. Give w(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452 by 4.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 476*f**2 + 920*f - 13278. Calculate d(-474).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1211, 3, 2, 411 in decreasing order.\nAnswer: 1211, 411, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Solve m - 2*f = -d, 0 = 4*m - 4*f + 5*f + 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:21 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j + 15*j + 1881 = 5321 for j.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*g + 1 = -3*r, 2*g - 2 = 0. Suppose 2 = -n, -r*a - 3*n = -61 - 212. 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: Sort -320, 2196, 0.05 in descending order.\nAnswer: 2196, 0.05, -320","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -175483 plus -5?\nAnswer: -175488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 100\/9*r**3 - 200\/9 - 292\/9*r - 4\/9*r**4 + 4\/3*r**2 = 0.\nAnswer: -1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 73*i**2 - 5*i + 367. Let l be j(73). Solve -y + 4 = 4*x, 2*y + l = 2*x - 4*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 62*m - 100 = 96*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 140340?\nAnswer: 140344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*n - 110, 4*n + 0*k - 3*k = -132. Calculate the common denominator of (1 - 61)*(-2)\/(-27) and 166\/n*((-21)\/(-2))\/(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, 4, -3, 6 in descending order.\nAnswer: 6, 4, -3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -339.233718 - -0.796718. Let p = -194.52 - i. Let w = -144 + p. What is w rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 41.9?\nAnswer: -8.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 280 + 1?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 21*c + 216. Let y be s(-8). Let k be -1*12\/y*(-2 + 6). Solve -3*u - 3 = 3*x + 3, 3*x = -k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 61 (b) -1\/4 (c) 5 (d) -2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - 13*i**2 - 8*i + 1. Is g(-6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3359 times -0.1\nAnswer: -335.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/(7 - (-294)\/(-54)). Sort x, 1\/2, -0.2, 5.\nAnswer: x, -0.2, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80478 is divided by 122?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 2*h**3 + 2*h**2 - 2*h**2 - 2*h**3 + 2*h**2 + (0*h + h - 3*h)*(5*h**2 - 3*h**2 - h**2) + 2*h**3 + h**2 - h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*g = -0*g - 134, 0 = 2*r - 4*g + 92. Let o = r + 41. Suppose 0*h + o*z = 3*h + 30, z - 25 = 4*h. Let p(n) = -n - 5. Calculate p(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 7845 - 7845.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 14*o + 38. Let x(z) = -z**2 - 22*z - 89. Let k be x(-7). Calculate f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 b when three letters picked without replacement from ybryrbmhrmtmhy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 11\nAnswer: -31\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 0.046, -2\/157, 4, 67, -1\/8, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**3\/3 - c**2\/2 + 9*c - 39. Let z be a(-3). Solve -5*r = -z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 1. Let p(n) = n - 1. Let i(r) = -5*a(r) + 4*p(r). Suppose -2*z - 2*f + 16 = 0, -5*f + 31 = 5*z - 3*z. What is i(z)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*h**2*n**3*s - 22*h**2*n**2*s + 119*h**2*n*s + 6*h**2*n - 2*h*n**3*s + 2*h*s - 632*n**3*s wrt n?\nAnswer: -96*h**2*s - 12*h*s - 3792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let p be 4\/(-10) + (-4)\/(-10). Suppose -5*d + 20 = -p*d. What is the third smallest value in f, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13)\/v)**34*v**(5\/2)\/((v*v*v**(-6)\/v*v)\/v) assuming v is positive.\nAnswer: v**(-825\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 159*x**3 - 13 + 171*x**3 + 5*x**4 - 3*x**2 - 333*x**3 - x**4 - 3*x**4 in the form b*x + q + g*x**4 + n*x**3 + s*x**2 and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/9 - (-1)\/3. What is the remainder when 34 is divided by 2*r\/2*-12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 15773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2427, 3261, 2461, 27, -4041?\n\"Answer: -817*n**2 + 3285*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2080401*u**2 - 6758206*u?\nAnswer: -4160802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2446 and -0.4.\nAnswer: -2446.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -14. Let h = g - -26. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 180?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 715 divide 198416790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 309*s + 1. Let v(n) be the second derivative of -77*n**3\/6 + 6*n. Let m(k) = 2*u(k) + 9*v(k). Is m(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140244423 + 3?\nAnswer: 140244430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -0.0222.\nAnswer: 0.2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t. Suppose t - 2 = -x. Suppose 0*y = 6*y + 16*y - 88. Solve 0 = y*l - x*w - 24, 0 = 4*w + 6 + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/19 + 2190*b\/19 - 4388\/19 = 0. What is b?\nAnswer: -1097, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403633311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*c + 50332, c = -3*b - 0*c + 151036. Suppose 8*x + 10 = 3*x, -b = -5*h - 3*x. What is h rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*j - 5*j. Let l = 3 - j. Let h = 368 - 354. Calculate the greatest common divisor of h and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240833353 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.426.\nAnswer: -0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86 - 78*z - 42*z + 41*z - 85*z + 26*z with respect to z.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -306 - -59787. What is the ten thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 137430*n + 70098*n + 69402*n to the form m + v*n and give v.\nAnswer: 2070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 23 = -0*q. Let l = q + 75. Suppose -3*f + 23 = -l. Calculate the remainder when 98 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6578, -6581, -6584, -6587, -6590?\nAnswer: -6593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 35 = -12*q. Solve -3*i = 4*a + 7 + q, 3*i = -5*a - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52593 (base 10) to base 11\nAnswer: -36572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, 1, 3 in ascending order.\nAnswer: -190, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36774ac - 4?\nAnswer: -36774b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by 387006.\nAnswer: -14\/64501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p + 16. Let i be ((-9)\/(-6) + -2)*-2. Let y(b) = i - 3 - 2*b + 7. Let k(x) = 5*g(x) - 16*y(x). Let c(n) = -2*n. Calculate c(k(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16834 + -6.07665654.\nAnswer: -16840.07665654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 3*n**2 + 3*n**2)*(3*n + 0 + 0)*(-1 + 0 - 7).\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69624180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.08 - -13.7. Let r = -0.22 + b. Let j = r - -4.11. Round j to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-4 - -8) - -2. Suppose 3*l - 2 = p*x - l, 5*l - 13 = -x. Suppose 71 = f - 2*c, 0 = -x*f + 7*c - 4*c + 228. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(875))\/sqrt(7).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - (0 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 10 = 13*k - 8*k, -3*k = -d + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 times 629\nAnswer: 144.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 6. Suppose 5*i + 38 = -c, 0 = -2*c + 5*c + 9. Give m(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*s**2 - 5*s**2 - 6 - s**2)*(-15 - 7 + 26) to the form x*s + a*s**2 + v and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:25 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -0.1, -0.2, -1, -5, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3981*u**3 + 3*u + 5 - u + 83*u**2 - 80*u**2 + 3. Suppose 9 + 21 = -5*a. Let g be w(a). What is g rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1, -5, 3181 in increasing order.\nAnswer: -5, 0, 1, 4, 3181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3236*u**2 - 9752427*u + 4196841719 - u**3 + 1664366908 + 2173*u**2 = 0.\nAnswer: 1803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141232 (base 13) to base 3.\nAnswer: -220210120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 441098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/4)\/((f**(1\/10)\/f)\/f))\/(f**(-2\/5))**0)**(-40))**(4\/27) assuming f is positive.\nAnswer: f**(-344\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 3*a**2 - 5*a - 4. Let o be g(-3). Suppose 3*t - 11 = -i + o, -5*i + t + 30 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6526 - 6780. Suppose 0 = 3*c - c - 1550. Let o = c + r. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000459289 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 106 = 149. Suppose f*p + 3164 = 24*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.84 + -0.14. Let d = -1.3 - l. Which is the nearest to 1? (a) -2\/9 (b) 3\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -44 (b) 3 (c) -1\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(119) + (sqrt(119) - sqrt(119)*2*-2) - (sqrt(119) - (sqrt(119) - sqrt(119)*-1*-5 - sqrt(119)))))\/(5*sqrt(700) + 2*sqrt(7)*-4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.5. Let j be 102\/(-5) + (-2)\/(-5). Let o be -10*((-48)\/j - 2). Which is the nearest to -0.1? (a) o (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180097971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 10*a**2 - 9*a - 4. Let i be u(-9). Let n be -1 + (8\/i - -6). Solve 0 = -3*m + 4*k - 12, 4*m + 13 = -k - n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -73.82?\nAnswer: -221.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198 (base 11) to base 14.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -127, -252, -351, -412, -423, -372, -247, -36?\n\"Answer: 2*n**3 + n**2 - 142*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - (1 - 2) - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, f: 2, e: 1, q: 1, i: 2}. What is prob of picking 1 i and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Suppose 52 - y = -5*j. List the prime factors of (-488)\/j - 2*(-1)\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216566457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30022 - 1310?\nAnswer: 22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516*y - 1413 = -517*y. Round y to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 3374.5.\nAnswer: 6749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (28\/16)\/((50\/(-40))\/(-4 - 1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 4*y + 11. Let g be h(5). What is the third derivative of -12*c**2 + 2*c**2 - 11*c**g - c**5 + c**5 wrt c?\nAnswer: -1320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6. Let k = i + 3. Which is the third smallest value? (a) -4\/3 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 14 + -12 + 5 + -10 + -4 - 76?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45680162 by -143198.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 2*x**2 - 1. Let i be z(2). Let l = i + -3. Calculate the highest common factor of l and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*g - 35 = 0, -2*o - 2*o - 3*g = 58. Let f(s) = -6 - 3*s + s + s + 4. Let j(z) = 2*z + 4. Give o*f(n) - 6*j(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-6) + (-4)\/6. Suppose 1 = f - l. Let t(u) = -f*u + u**2 + 2*u - 2*u - 3 - 3*u. Determine t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 356 and 3293?\nAnswer: 13172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102450202 + 33.1?\nAnswer: 102450235.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - ((sqrt(700) - 3*sqrt(700)) + sqrt(700))) + 5 + 0 + (sqrt(28) - sqrt(700)).\nAnswer: 5 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000137753 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2 - 2*q + 31. Let m(r) = 4*r**2 + r - 21. Give 8*m(d) + 5*u(d).\nAnswer: 2*d**2 - 2*d - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527430213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-7)\/(175\/(-295)). Suppose 0 = -3*n + 7 + t. What is the greatest common divisor of n and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000121122222 (base 3) to base 11.\nAnswer: 341453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11632.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -18*v. Suppose -2*z = -2*m + 21 + 3, 2*z = 4*m - 34. Let u(i) = -12*i. Let k(g) = z*u(g) + 5*w(g). Let h(j) = 2*j**2. What is h(k(p))?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920300 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -6)\/(20\/25). Let l = 995 + -992. Which is the nearest to l? (a) -4 (b) s (c) 0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 + 1193514*i - 356118917049 = 0. What is i?\nAnswer: 596757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 248 + 42 = 0. Does 33 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -5067?\nAnswer: 83\/5067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + -17 + -1 + 4. Let i = 1 - 2. Let d be 4\/(i*m\/15). Solve -6*g + g = -d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*t - 1758 + 4758. What is the hundreds digit of 2\/5 + (-4)\/(t\/(-25278))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 42*l**2 - 106*l - 233. Is j(33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7685*o - 15342*o + 1075 = -7700*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 31*u**3\/3 + u**2\/2 + 2121. Let y(q) = -8*q**2. Give y(i(v)).\nAnswer: -7688*v**4 - 496*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -1705 in ascending order.\nAnswer: -1705, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9661.\nAnswer: 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 14*c**2 - 2*c + 3. Let l(u) = -u**3 - 5*u**2 + u + 7. Let i be l(-5). Is f(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*n - 76*n + 39 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 3*d**2 - d**2)*(166*d - 338*d + 163*d) - 8 - d**3 + 8 + (2*d**2 - 5*d + 5*d)*(-3*d + 0*d + 5*d).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 - 0.36. Let x = -2.4 + 6.4. Put g, 2\/9, x in increasing order.\nAnswer: g, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 9) to base 8.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 40*v - 4980. Give g(94).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 10642 + 10647 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**5\/120 + y**4\/6 - y**3 - 9. Let n(q) be the third derivative of f(q). Let o(w) = -w - 5. Give -6*n(i) - 5*o(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2709 - -2679. Which is smaller: f or -374\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 - 6 = 5*l, b - 4*l + 7 = 0. Let d be b\/6 + 1\/2. Solve -d = -2*u, 4*u - 5 = -0*h - h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3422990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52\/3 + 2\/3*p**2 + 10*p = 0 for p.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1 + -2)\/((-18)\/630). Suppose 3*j + 60 = 2*w, 5*j + 52 + l = 4*w. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9}. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 35, -4\/9, -50.\nAnswer: -50, -16, -4\/9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b**2. Let v(k) = 2*k**3 + 29*k**2 - 20*k - 11. Let q be v(-15). Let d = q - 60. Let j(s) = 13*s - d*s - 9*s - 3*s. What is m(j(n))?\nAnswer: 90*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -6050730.4181075?\nAnswer: 6050729.4181075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 3*g + 26, 4*g = -11112*c + 11116*c - 32 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1908 = -5*j - 3*w, 241*j + w + 1904 = 246*j. What is the remainder when j is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, g: 15}. What is prob of picking 2 g?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*u = 3*v - 380, -4*v + 5*u = -304. Let l = 1280 - 1278. Suppose l*p = -2*p + v. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 2 - 2 + (-7 + 3 + 2)*(4*r - 6*r + r) - 4*r - 5*r + 3*r in the form l*r + y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**3 - t**2 + 2*t + 2. Give r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 70*i**2 - 42*i + 56. Does 5 divide t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(198)*2 - sqrt(198))*-6)\/sqrt(6))\/(sqrt(66)\/sqrt(216)*-6))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8*h**(-2\/5)*h**5*h**(-7) assuming h is positive.\nAnswer: h**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from allnbbnaawlaalwwany.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17671 divided by 3.\nAnswer: 17671\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5447481km in nanometers?\nAnswer: 544748100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 108*o**2 + 220*o + 18. Calculate l(110).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(12\/18*(-3)\/7). Let f be 0 + 1 - (-13 - -1). Let v be -2 + 5\/1 + f. Solve -3*d = -6, -3*s + u*s + v = -2*d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 3 + 3. Let d(z) be the second derivative of z + 0 + 0*z**2 - 1\/3*z**3. Give k(d(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 427 + -426.1. Let n = -0.13 - -5.13. Let b = n + -4.8. What is the second smallest value in b, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2541*g**6 - 887*g**2 wrt g.\nAnswer: 304920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (2\/14 - 1). Suppose -529 = -h - 528, r - 5*h + 5 = 0. Factor r*t**3 + 0 - 2\/7*t**5 + 0*t + 0*t**2 - q*t**4.\nAnswer: -2*t**4*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 6 = 31*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7568 and 1936?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32058 and 426618.\nAnswer: 5546034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1744 = -k - 2*v, -3*k + 9*v = 5*v - 5202. Calculate the greatest common factor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 261 + -244. Let u(c) = 52*c + 42. What is the tens digit of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 11.78748.\nAnswer: 9.78748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 33*n**4\/4 + 25*n**3 + 4. Find the third derivative of h(g) wrt g.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 8*n. Let u be k(7). Suppose -1 = 2*q - u. Let z be q - 25\/(-45)*-3. Which is the third biggest value? (a) 2\/11 (b) 4\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*r - 125*r + 7*r.\nAnswer: 140*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4571274*a - 4854973?\nAnswer: -4571274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/92250 and -65\/738?\nAnswer: 92250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 14. Let x be m(-14). Let q be (-1 + 0)*(-2 + 1). Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:10 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22203 + 10?\nAnswer: -22143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -116351007 > -116351009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -60. Let i = -8 + r. Which is the closest to i? (a) -1\/11 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 + -78 + (-37 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -847696, -1695449, -2543202, -3390955?\nAnswer: -4238708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4761684*z + 1404742 with respect to z.\nAnswer: -4761684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680 - 271 + 1079 = -82*q + 176 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 742 - 1189. Let t = p + 660. Suppose -2*r + 0*r + t = 3*q, 2*q = 3*r + 142. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -5\/66276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 divided by -41.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x + 4 = 0. Let q be -12*-1*(0 + x). Let n be 5\/(-1)*18\/(-5). What is the greatest common divisor of n and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16495899 by 6601.\nAnswer: -2499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 170 + 94. List the prime factors of (-614)\/(-8) - (-11)\/y.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/8, 3, -4\/3 in decreasing order.\nAnswer: 3, 3\/8, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1860)\/(-4))\/1 + -1. Suppose 5*o - 172 - 994 = 3*d, -2*d - n = -2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 22626, 0 in increasing order.\nAnswer: -2, 0, 7, 22626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = 10. Let s(l) = l + 6. Let a be s(-2). Suppose 4*u + 16 = 2*t, -a*t - 4*u + p = 3. Solve -t = -3*f - f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i + 3. Calculate d(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(396)\/(sqrt(9)*2) + (sqrt(2816)*2 - sqrt(44)))\/(sqrt(44)\/(1*sqrt(11))*-6).\nAnswer: -31*sqrt(11)\/12 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*m = -0*t + 6, -3*m = 2*t - 6. Suppose -t*z = -12 - 18. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008 and 126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28355 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: What is the common denominator of -77\/24 and -103\/102?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25486, 3\/590 in ascending order.\nAnswer: -1, 3\/590, 25486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1853\/(-204) - (-3 - 1) and -79\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(112) + -1)*5 + -4*(-1 + sqrt(112)) + sqrt(112) + 2)*1.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27584 divided by -3.\nAnswer: 27584\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 2*n**2 + n + 1. Let j be z(-2). Suppose -2*x - 102 = -5*x. Let k = x - 30. Sort j, -3, k in decreasing order.\nAnswer: k, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(448) - sqrt(252)\/(sqrt(441) + sqrt(9) + sqrt(9))) + -5.\nAnswer: -218*sqrt(7)\/9 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1, 0.2, 4\/6435, 0.5 in ascending order.\nAnswer: 4\/6435, 0.2, 0.5, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 1759339?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 230 = -250. What is the remainder when p is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q**2 - 2*q)*((2*q + 5 - 5)*(2*q + 2 - 2) - 64*q**2 - 677*q**2 + 120*q**2).\nAnswer: -617*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 1.07. Let m = -0.07 - p. Let z = -11 - m. Which is the third smallest value? (a) -0.5 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 99. Let s = u + -102. What is the highest common factor of 128 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + d = 2*j + 282, 0 = -2*j - d + 114. Suppose 3*l - j = 34. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 + 223*h**2 + 237*h - 4014. Determine z(-73).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Suppose 0 = -5*d - 3*l + 12, 0 = -d - d - 3*l + k. Suppose -d*g + j - 57 = -4*g, 2*g = 3*j + 104. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356\/20114 + (-348)\/(-5876)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35169 - 20054461200.\nAnswer: -20054496369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1065520 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + o + 9. Let p(t) = -t - 8 - 148*t**2 + 65*t**2 + 81*t**2. Let f be (-46)\/8 - 2\/8. Calculate f*g(d) - 7*p(d).\nAnswer: 2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766\/(-6511) - (-2 + (-545738)\/34)?\nAnswer: 3, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*s**2 - 926*k**2*s + 29522*k**2 - 112155468*k*s**2 + k*s wrt k.\nAnswer: 4*s**2 - 1852*s + 59044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) -2 (c) 2\/3 (d) -5 (e) 6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4) + 7 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 964*q - 10846.\nAnswer: 2*(q - 493)*(q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let t be 1 - j\/(-4 - -5). Suppose 5*z + 48 = 4*i + 11, -t*i - 5*z - 19 = 0. Solve i*a + 4 = 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let l(w) = 46088*w**2. Calculate l(v(r)).\nAnswer: 46088*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34032658*k*y**3 - 335395715*k*y**2 wrt y?\nAnswer: -204195948*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 2}. Give prob of sequence gsgs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160941*c**3 + 616438*c wrt c?\nAnswer: -965646*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11135661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 15, -1 = -2*x + 5*h + 4. Let w(n) = -n**2 - 3 + 3*n - 32 + 12*n - 1. Let j be w(11). Solve 5*y - 4*u = x, -5*y + 2*u = -2 - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 516985528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 27.2, 1\/15, 9, 4\/7.\nAnswer: -4, 1\/15, 4\/7, 9, 27.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 + c**2 - 6 + 3. Let z be m(-3). Let o = -31 + z. Calculate the highest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 74?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 10. Which is the closest to m? (a) -4\/3 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + -305?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*3*-3 - (-37)\/37. Let a(v) = 27*v + 2. Let n be a(4). Calculate the greatest common divisor of n and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 11. Let s = x - -10. Solve 5*c - 9 = s*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13 = -2*m + 25, 0 = -4*j - m + 54. What is the greatest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3893168, -3, -5 in increasing order.\nAnswer: -5, -3, 3893168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202010121122 (base 3) to base 10.\nAnswer: -927737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6514 in 1, 1\/2, 2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1) - 230\/(-10). Suppose -2*s - 2*q + 189 + b = 0, -2*q - 390 = -4*s. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.2 + -14.1. Let m = g + 0.9. Let h = -0.54 + 0.74. Which is the third smallest value? (a) 0.1 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 454, 914, 1376, 1840, 2306, 2774?\n\"Answer: a**2 + 457*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4058 in -3, -12, 0, -2\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 8\/(14\/(-21)*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1484981 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 23360 divided by -1.\nAnswer: -23360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1 + -643449.3.\nAnswer: -643448.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5946 = 29*z - 35*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.121*1725.5.\nAnswer: 3659.7855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 71. Let a(d) = -15*d**3 + d**2 + d. Determine a(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcm when three letters picked without replacement from {m: 2, c: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -10 + 25 - 9?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.839 + -31.8355403. What is g rounded to 5 dps?\nAnswer: 0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.8455936 + -21.14559492. Let z = 434 - 438.3. Let w = q - z. What is w rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2236*o = 548*o - 50112. Let z = 3 + 13. Calculate the lowest common multiple of o and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 1. Let j be d(-4). Put -1, 2, j in decreasing order.\nAnswer: 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -1) + (-2 - (-37 + -2))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -616 - -617.617. What is h rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.46 + -1.1718747454\nAnswer: 0.2881252546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 29*b**2 + 8*b + 122. Is 2 a factor of p(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11449\/35 greater than -327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) 2\/15 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pssspspssp. Give prob of sequence sp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 54, -99, -250, -399, -546?\n\"Answer: h**2 - 156*h + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 9*j - 5. Suppose 5*k - 56 + 6 = 0. What is c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*d = 96, -2*k + 29 = -2*d - 19. Calculate the least common multiple of 28 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23209781 is divided by 277.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-1 - 2) + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-9))\/j*j*j)\/(j**(-4)*j))**46 assuming j is positive.\nAnswer: j**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 25 = -2*k - 2*j, -25 = -4*k - 5*j. Suppose -1 = -2*q - 4*i - 7, k = -2*q - i. Put q, 4, 5 in descending order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20381 and 85084?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**6\/180 - m**5\/60 + m**4\/6 + 56*m**3\/3 - 26. Let w(f) be the third derivative of z(f). Factor w(c).\nAnswer: -2*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245609, -245632, -245645, -245642, -245617?\nAnswer: -245564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 5*u + u)*(4 + 4 + 5) - 1 + 0 + 2 + 2*u in the form w*u + c and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134.71 + -0.71. Let f = p - 134.69. What is f rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 15. Let h be a(-3). Suppose h = -0*x - x + 4*o + 10, -5*x + 5*o = -20. Find the second derivative of 118*q**2 - 27*q - 100*q**x - 2*q wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(896)\/(sqrt(28)\/(sqrt(8)\/sqrt(2))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 153*v**2 - 774*v + 70. Give g(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 5*c - 3. Suppose 4*n - 24 = 16. Let w = n - 7. Let a be 2 + 1\/(w\/3). Calculate k(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b + 1508?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/5209, 3\/5, -5, -4?\nAnswer: -1\/5209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 6, 24, 60, 120, 210?\n\"Answer: q**3 - q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*x = 4, 2*x + 2 = 4*x. Let d be (-19)\/10 + 2 + 0. Is d at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 654 - 312. What are the prime factors of i?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 3132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*a + 18. Suppose 5*j - 3 - 2 = 0. Let w be -2*((-4)\/(-2))\/j. Sort w, -2, a in descending order.\nAnswer: -2, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*h - 60 = 0, 0 = 2*r + 7748*h - 7751*h + 69 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 884*x**2 - 46864*x + 97280.\nAnswer: -2*(x - 2)*(x + 64)*(x + 380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m = -73*m + 7137277. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1547139*h**6*i**3 - 4*h**6 - 30*h**2 - 81602*i**3 wrt h.\nAnswer: 185656680*h**3*i**3 - 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 89 from -0.79719489.\nAnswer: -89.79719489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 491385183 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4988 + 5045. Calculate the remainder when 97 is divided by q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*t**3 + 3*t**2 + 13*t - 14 wrt t?\nAnswer: 228*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -242, -3, 5, -4, -21.\nAnswer: -242, -21, -4, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10031210321 - -1?\nAnswer: -10031210320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*n**3*z + 2*n**2*z**2 - 91*z**2 - 7 wrt n.\nAnswer: 69*n**2*z + 4*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 - 6*y + 9. Let k be h(4). Suppose 2*d + 2 = 14. Does 19 divide (k + -3)\/(d\/(-57))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + -5 - (-11 - -7). Let s be (4\/6)\/(1\/3). Sort -2, -4, y, s in ascending order.\nAnswer: y, -4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483 is divided by (-448)\/(-64) + (1 - -45).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1867 = -0*k - 2*k, 3*k = q - 376. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0. Put 1\/2, 0.3, g in descending order.\nAnswer: 1\/2, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 - 128. Suppose 5*c = l + 107, 0 = c + 4*c + 2*l - 116. What is the least common multiple of w and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -87*k - k**2 + 86*k + 3*k**2 - 3. Is 21 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 16) to base 14\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204*p**2 + 77*p**2 + 110*p**2 + 6*p + 20 to the form q*p**2 + z + m*p and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174 - -35. Let j = q - 1255\/6. Which is the biggest value? (a) j (b) -0.1 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75999, -75712, -75425?\nAnswer: -75138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 1. Let q(z) be the third derivative of z**5\/12 + z**4\/12 + z**3\/3 - 3*z**2. Suppose -x - 22*x = -46. Determine x*i(f) + q(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -949.99996348 + 950. Round g to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 6*v**2 + 3*v**2 + (-8*v + 11*v + 12*v)*(11*v + 40 - 40))*(-6 + 1 + 2)*(-2 + 1 + 3).\nAnswer: -978*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 469480*r + 1408404.\nAnswer: 4*(r - 117367)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4661?\nAnswer: 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o**2 + 8*o - 16. Let r be b(6). Suppose -4*w = -r - 84. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-15)*(3 - -2). Let t(b) = 2*b**2 + 2. Let k(j) = 4*j**2 + 5. Let v(f) = p*k(f) - 5*t(f). Let z(c) = -c. Calculate v(z(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/2*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - v**2 + v. Let w(m) be the third derivative of -m**6\/20 - 2*m**5\/15 + m**4\/3 - m**3\/3 + 8*m**2. What is -8*f(n) + w(n)?\nAnswer: 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20.809 * -0.122\nAnswer: -2.538698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - 14?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2152203, -2151873, -2151323, -2150553, -2149563, -2148353, -2146923?\n\"Answer: 110*n**2 - 2152313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 66.7. Let z = y + -19.3. Which is the closest to -2\/9? (a) z (b) -1 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**3 + 11*d**2 + 2*d + 9. Let w(r) = 14*r**3 - 17*r**2 - 3*r - 14. What is -5*w(g) - 8*z(g)?\nAnswer: 2*g**3 - 3*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2676286?\nAnswer: 2, 743, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -257*h - 4144. Give g(-16).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/9)\/(-5*8\/(-60)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-57)\/132)\/(21\/(-28)) and -41\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 20. Let f be m(-6). Is (f\/1)\/(16\/(-5912)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19039581139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(16\/136 - (-69)\/(-153)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2312*-18.\nAnswer: 22.1616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:08 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/30 - 2*n**4\/3 - 7*n**3\/3 + 60*n**2. Factor t(q).\nAnswer: -2*(q + 1)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + 39a71?\nAnswer: 39a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189535359?\nAnswer: 11, 307, 503, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -15*b - 3*b + 18*b + 2*b**2. Let u(v) = 495*v - 973*v - 5 + 503*v. Determine s(u(k)).\nAnswer: 1250*k**2 - 500*k + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3948 rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 148362 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + ((-768)\/(-4))\/3. Let q be ((-3)\/(-3))\/((-1)\/(-6)). Calculate the highest common divisor of q and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(8\/5)\/d*d**(-18)*(d*(d\/((d\/d**10)\/d))\/d*d)\/d**(-6) assuming d is positive.\nAnswer: d**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 7 = 4*o, 0 = -13*f + 10*f - o - 2. Is 35 a factor of 1 - (-138 + 8)\/(f\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/4 + 5*f**3\/3 + f**2 + 12*f + 18. Let d be r(-4). Solve k - 4*l + d = 0, -l + 3*l - 10 = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -46*o**2 - 14148*o + 4. Let t(z) = -z**2. What is k(t(h))?\nAnswer: -46*h**4 + 14148*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.385937158 rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(2 - 1 - 2). Is 2 - 19\/q*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-34)))**(-6)*b\/(b*b**40)*b**(-5) assuming b is positive.\nAnswer: b**(-249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1067600 by 5.\nAnswer: 213520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + x = -58, -29*a - 10 + 59 = -24*a + 2*x for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.79 in 17, -1\/4, -5, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otdqoqqoiic. Give prob of sequence cd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(755\/1 + (-14)\/28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**14\/(u*u**(7\/6)*u*u*u*(((u*(u\/(u*u*u**(-11)))\/u*u*u)\/u)\/u)\/u*u*u))**(-27) assuming u is positive.\nAnswer: u**(117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 6:42 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (760\/80)\/((-1501)\/(-316))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, -195 in ascending order.\nAnswer: -195, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - d + 0*d)*(-59327 + 26098 + 24191)*(3*d + 0*d + 3*d) as q + s*d**2 + z*d and give s.\nAnswer: 54228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722 less than -0.2?\nAnswer: -1722.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -22 - (26 + -43).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8186069 is divided by 1169432?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -800 (base 9) to base 13.\nAnswer: -3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 410 and 1080?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssplhhsshsg. What is prob of picking 1 r and 1 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o - 1. Let p(c) = 12*c + 2. What is -4*p(g) - 9*r(g)?\nAnswer: 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322640 is divided by 6584.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 44*r**2 + 483*r - 19. Let c be w(24). Solve c*h = 56*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1381 - -1397. Let g(t) = 18*t**2 - t + 4. What is the remainder when g(2) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11572, -12126, -12670, -13198, -13704?\nAnswer: -14182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 1959972?\nAnswer: 1959967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9902834*i**4*j**2 + 473988*i**2*j**2 - i**2 - i*j**2 wrt i?\nAnswer: 237668016*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 7*w - 10. Let t be z(8). Let s = 1 + 0. Which is the biggest value? (a) s (b) t (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 0, -8*x + 4*x - 3*g + 12 = 0. Solve 5*y = 2*i + 20, 9*y - 12 = 6*y + x*i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1493 by 4.\nAnswer: -1493\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14877.6 - 14878. Let b = 0 + 3. Put 6, b, p, -3\/8 in ascending order.\nAnswer: p, -3\/8, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 - -364. Let a = x - 275. Solve a*u = -3*u - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 27*x**2 + 6*x - 11. Let y(g) = 18*g**2 + 4*g - 7. Let d(m) = 5*c(m) - 8*y(m). Let z be d(1). Suppose t - 2 + 11 = 0. Which is smaller: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**3 + 16*a**2 + 2*a + 2. Let o be u(-3). Let w = 95 - o. Which is smaller: -260 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 4 + 5*m + m + 2.\nAnswer: 10*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccu when three letters picked without replacement from {u: 5, c: 14}?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 878 from 1010.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21701911.\nAnswer: 7, 11, 17, 59, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*u, z + 3 = -0. Let p(r) = 2*r**2 + 6*r + 2. Let k be p(-5). Calculate the greatest common divisor of k and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.91882169 to one decimal place.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*b + 11 - 6 + 5*b**3 + 27*b to n*b + v*b**2 + f + u*b**3 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/7368 and -101\/9882?\nAnswer: 12135096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v\/v**(-15))\/v)\/v*v)\/(v\/v**0)*(v**1)**2 assuming v is positive.\nAnswer: v**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f - 2. Let i be s(7). Suppose -4*y - i + 226 = 0. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Let x(v) = v**3 - v**2 + v. Let p be x(0). Let k be p - (0 + b\/(-7)). Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -59*j - 5. Let g(p) = -13 - 60*p - 10 + 19. Let r(f) = 7*g(f) - 6*u(f). Let l be r(-1). What is the highest common divisor of l and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2449*v + 4*v**4 - 2449*v + (-4*v**3 + 9*v**3 - 6*v**3)*(3*v + 3*v + 4*v).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 700059.5 hours in microseconds?\nAnswer: 2520214200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 30*i - 80. Is v(-37) 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 11:37 AM and 4:23 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1175134823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46.51 - 46. Let x = 0.01 - l. Let m = 122\/261 + -2\/87. What is the nearest to -2 in -1, x, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -2450?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -257 + 65. Let n be 92\/c - 3\/(-4). Let t = -43\/15 + n. Put 0, 3\/4, t in decreasing order.\nAnswer: 3\/4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -10*h**3 - 10*h**2 + 12*h + 7. Calculate o(-5).\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 208.4107mm?\nAnswer: 0.2084107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -416757*f*o**2 - 2*f*o - f - 4*o - 2 wrt o?\nAnswer: -833514*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/84735755 and -111\/1690?\nAnswer: 169471510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*i**3*n**2*y + 18105*f**3*i**3*y**3 - 2*f**3*i**3*y - 2*f*i**3*n*y**2 + 92*f*i*y - 6*i*n**3*y**3 + 35*i*n**3 wrt y.\nAnswer: 108630*f**3*i**3 - 36*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 - 9. Let j = 233 + q. What is the units digit of j - -5 - (2 - (1 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 9. Let q be y(-4). Let p(v) = -v**2 - 7*v + 7. Let i be p(q). Solve i*g - 4*g = 2*s - 2, -5*g - 20 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 4 in descending order.\nAnswer: 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 32, -1\/10, -1\/19, 0.4, -1\/5?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2160 and 270.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.6 + -10.9. Let x = -25.499797 - h. What is x rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 972130411 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.7294638 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 196.235056 to two decimal places.\nAnswer: 196.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((-1)\/(-2559)). Let x = -73 + y. Round x to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) - (sqrt(70) - sqrt(70)*-3*6)) - sqrt(70))\/(sqrt(1210)*3 + sqrt(1210)).\nAnswer: 9*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1)*-3 - 0. Let o = 12 - 11. Sort -2, o, b.\nAnswer: b, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert da4a (base 16) to base 14.\nAnswer: 16518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1197230 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 13 = -122. Let v be 0 - 2 - (-122 - (5 + 420\/(-21))). Calculate the greatest common divisor of v and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14366885 is divided by 2640.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 23375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490) - sqrt(490)*1 - (sqrt(10) + sqrt(10) + sqrt(1210)*2))\/((sqrt(12) - (sqrt(12) + sqrt(48)\/(sqrt(4) + 5*sqrt(4) + sqrt(4))))\/sqrt(6)).\nAnswer: 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zojtzzoozzomzzo. What is prob of sequence oz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2. Let f(p) = 34*p + 3. Let a(o) = -37*o - 4. Let s(x) = 4*a(x) + 5*f(x). Determine s(l(y)).\nAnswer: -110*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 22\/(-77) + 214\/14?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 14 = -5*m. Let v = -5 - m. Let z be (-7 - -8) + v*-1. Put -5, z, 3 in increasing order.\nAnswer: -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32 + (0\/3)\/(-1). Let b(k) = -k**2 - 8*k - 4. Let g(x) = x**2 + 5*x - 2. Let m be g(-4). Let o be b(m). What is the highest common divisor of u and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2192 = 123*a + 14*a. What is the remainder when 4042 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 696 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.66 - 0.34. What is the third smallest value in k, -0.5, 1\/10, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 16*v + 15. Let l be f(-17). Put l, 3, 12 in decreasing order.\nAnswer: 12, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34749251\/9204 + -49080\/13. Find the common denominator of u and 1\/18.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*j + 10512, 5*i - 2*j - 15051 = -4543. Is 35 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 2907768*x + 528444671364.\nAnswer: 4*(x - 363471)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41830967 - 28681114. Suppose -3*d = -c - 12050147. What is d rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 13. Let h be d(3). Let i be ((-32)\/h)\/((-2)\/(-7)). Solve 0 = -k + 3*n - 2, 2*k + 3*k - i*n - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.64376189?\nAnswer: 1.28752378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w + 103. Determine b(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -198*q - 1191. Calculate w(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1426 * -0.1\nAnswer: -142.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -1, -5*j - 5*f - 451 = -436 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 457.2 - 458.2. What is the closest to x in 3, 2\/7, 21, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 24*q**2 + 28*q + 119. Let b be o(-23). Suppose b*n = z - 5 + 70, 4*n + z - 55 = 0. Solve 14*r - 1 = -n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*w + 3*m, 5*w - 2*m - 2*m = 40. Suppose 12 + w = 5*b. What is the common denominator of 107\/14 and (2\/b)\/((-18)\/858)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -608687.81 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -8) + -6 - (0 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuagn. What is prob of sequence ngak?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*r + 16 = 0, 2*w - 2285*r + 2283*r + 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216136384 a multiple of 1144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*h + 23*h**2 + 95 - 20*h - 23*h.\nAnswer: 23*h**2 - h + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2492*b + 4*b**3 - 4177*b - 36734 + 36736 - 839*b.\nAnswer: 4*b**3 - 7508*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l - 60 = 55*l. Let m(k) = -7*k**2 - 6*k - 6. Let t(d) = -d**2 + d. Let g(f) = m(f) - 6*t(f). Determine g(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 1. Let k be y(4). Which is smaller: k or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -333463 + 31679999\/95. Let z = u + 10\/19. Find the common denominator of z and ((-24)\/15)\/((-27)\/15).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 1\/29 (c) -128017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768 = -255*a + 258*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 + 17. What are the prime factors of u?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkclllkchlhcclkvvcvv. Give prob of picking 1 v and 2 h.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.262 - 0.062. Sort 4, o, -11, 1 in ascending order.\nAnswer: -11, o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**3 - 107*q. Let t(x) be the first derivative of -3*x**2\/2 + 49. Calculate t(n(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -18. Let y(n) = 7*n - 57. Let d be y(k). Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5907863468 a multiple of 3373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 3*u**4 - 5*u**4 + (-3*u**3 + 3*u**3 + 2*u**3)*(-1 - 2*u + 1) + 1 - 1 + 2*u**4)*(3439 + 1253 - 6473).\nAnswer: 5343*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 28 - 8. Suppose 4*y = -4*n + 64, -3*n + c*y = -0*n - 64. What is the least common multiple of 22 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(17\/34)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -59. Suppose -d*s = -2*s - 10. Solve 2*u = -p + 5, -s*p = 5*u - u - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3.09. Let z(o) = -6*o**2 - 129*o - 64. Let r be z(-21). What is the closest to r in h, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/71)*(m\/((m**(-29)*m)\/m*m*m))\/m)**(-1\/5) assuming m is positive.\nAnswer: m**(-1919\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.8 + -21.86. Let k = h + 0.06. Do k and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhp when three letters picked without replacement from {p: 2, h: 16}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) + (-11)\/(-3). Let g be (-5)\/2*m\/(-5). Let v = g + 2. What is the least common multiple of v and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/((-16)\/105 + (-894)\/6705)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 4:05 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffl when three letters picked without replacement from fhafl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 25*p**2 - 22*p - 32. Let x be u(24). Solve -21*h + 25*h = x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - t**2 - 4*t + 4. Give s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2*-12*((-324)\/54)\/(-2*4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = 7*h + 8*h. Suppose 4*f - 390 = f. Let d = f - h. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -6214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 5)\/((-1)\/(-1)). Calculate the least common multiple of 6 and -1 - (0 - (6 + a)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*s = -14, -3*u = -s - 2*s - 12. Solve -h + u*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 5:58 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1147 + 1137 - (0 - 61 - (-11 + 12)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.235 + 2.207. Round u to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1703*u**4 - 5*u**2 + 499*u**4 - 9 - 1567*u**4 + 387*u**4 wrt u.\nAnswer: -57216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*z + 447, z = -4*d + 5*z - 1824. Let s = -453 - d. Solve -26*q = -24*q + s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -594 - -837. Suppose 6*u - 207 = n. What is the greatest common factor of u and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 8*r - 4. Calculate q(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/241129 and -25\/34314?\nAnswer: 62211282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 71 + -36c36?\nAnswer: -36ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhzwzwwzzhwwwhe. What is prob of picking 1 z, 1 w, and 2 h?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-29))\/o**9 assuming o is positive.\nAnswer: o**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - o = 4*n - 7602, -n + 1897 = 2*o. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 - -226?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37892568 and 451102?\nAnswer: 37892568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -3*u + 2*l - 12, 40 = -2*u + 4*l. Let s = u - -30. Calculate the remainder when 27 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Suppose 336 + 20 = 4*b - j*k, -5*k = 4*b - 356. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 202da + 13?\nAnswer: 2030d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -37*l**2 - 16 + 20*l + 33*l**2 + 5*l + 6*l. Let x be g(7). Solve c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267 + 43. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-42))\/((-4)\/574). Suppose -7*w + 83 = t. Calculate the lowest common multiple of 46 and w.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 240 + -2?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.212 and -6.84?\nAnswer: 8.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdzfztztzttztt. What is prob of picking 1 t and 1 z?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, g: 2, z: 2}. Give prob of sequence zg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (2 + -7 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a week in hours?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406430749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**4\/8 - 3*d**2\/4 + d + 31. Factor i(m).\nAnswer: (m - 1)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 8*y - 21. Suppose -5*g = -0*n + 2*n + 101, -n = y. Which is smaller: g or -18?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 - 1 + 187*i**2 + 169*i**2 + i + 136*i**2 - 357*i**2 to the form h*i**2 + o*i + u*i**3 + x and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-26)*(-110)\/935. Put a, -1, -5 in ascending order.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.327 + -266.583. Let w = -271 - t. What is the third smallest value in 4, 0, -3, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 2\/9 (b) 5 (c) -8655148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111011111101011011010 + -1?\nAnswer: 11111011111101011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/25550 and -101\/280?\nAnswer: 102200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 35666895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2675168940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364\/198 - (-81662)\/(-38682).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822816622 + 0.5.\nAnswer: -822816621.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*g = 0, 2*c + 0*g - 5 = g. Suppose -2*m = -c*x + 300, 2*x + 119 = 4*x - m. What is the units digit of (-6)\/4*x\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211102281437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -320*u**3 - 1601*u**2 - 4*u - 1. What is b(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.147 + 1.12. Let h = g - 62.973. Let s = -58 - h. Sort 16\/5, -0.5, s in descending order.\nAnswer: s, 16\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1751 - 1746. Let b(r) = 25*r**3 + 5*r**2 + 2*r - 7. Let k(c) = 37*c**3 + 7*c**2 + 3*c - 10. What is f*k(z) - 7*b(z)?\nAnswer: 10*z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**4\/3 - j**2 - j - 3. Let o(p) be the first derivative of k(p). Find the first derivative of o(t) wrt t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1344 - 433200?\nAnswer: -434544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*b + 30. Solve -b = -2*i - 0*l - 3*l, 0 = 3*i - 2*l + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 658 and 80364?\nAnswer: 26439756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 15. Suppose l - 23 = x. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 101*o = -32049 - 69860. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 43 + 141 = 0. Suppose -m*c + 1122 = -17*c. Calculate the greatest common divisor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -8)\/(1\/3). Let y = 380 + -382. Let r = p + y. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -7. Let q(t) = t + 1. Let v be q(-6). Let k be (1\/(-2))\/(2\/(-20)). Put v, b, k in decreasing order.\nAnswer: k, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 12*k = 64. Let z = k + -16. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9946?\nAnswer: 2, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3613572769*p**2 + 360678*p - 9.\nAnswer: -(60113*p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -24?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r. Let a = -1 - -1. Let m(i) = -i + 8. Let k be m(a). Let t(z) = -z - 3. Let w(p) = 3*p + 8. Let d(j) = k*t(j) + 3*w(j). Give d(q(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h*w**2 - h*w + h - 2*w**2 - 511766*w + 579466135 wrt w?\nAnswer: 2*h*w - h - 4*w - 511766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 407176163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m - 40. Let a be o(10). What is a rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 3*u**4\/4 + 9*u**3 - 63*u**2\/2 + 33*u + 32. Factor k(o).\nAnswer: 3*(o - 1)**2*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**6\/12 - l**5\/5 + l**3\/3 - l**2\/4 + 15. Factor j(m).\nAnswer: m*(m - 1)**3*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 1*sqrt(19))*6.\nAnswer: -60 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10517328 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: Evaluate 63\/((-1764)\/56)*14\/(-32).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3 - 113*f - 150*f + 85*f - 60*f. Let r(m) = -m**2. Calculate r(j(t)).\nAnswer: -56644*t**2 - 1428*t - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86268*f**2 - 308*f - 6056509 wrt f.\nAnswer: -172536*f - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*i + 1587 - 1534 = 0, 2*i + 2 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 863114 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 - 118. Let m(f) = -14 + 2*f - 6*f + 4. Is 3 a factor of m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163640, -4, -0.16, 1, 1\/4 in descending order.\nAnswer: 163640, 1, 1\/4, -0.16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 9*o**2 + 0*o**3 + 5*o**2 + 4*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 165633372 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eooettetjjzttjt. What is prob of picking 1 j and 1 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152760.\nAnswer: 2, 3, 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17384261.\nAnswer: 463, 37547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Let u be 1\/(-1) + 1 + 2\/7. Let b = 65 + -847\/13. What is the biggest value in u, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 316\/12 - 5\/15. Find the second derivative of 20*x**5 + 5*x**5 + x**5 - c*x wrt x.\nAnswer: 520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469 + -0.03047772?\nAnswer: -469.03047772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004635895909 to seven dps.\nAnswer: -0.0046359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 7586.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/3 - 25934*i - 778220\/3 = 0.\nAnswer: -10, 38911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 19 + 47 - 10*t**3 - 26 - 22*t**3 + 7*t**3 to the form s*t**3 + j*t**2 + n + b*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 64 (b) -1\/7 (c) -26 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**6\/2 + 269*q**5\/5 + 16*q**3\/3 + 8*q + 354. What is the third derivative of d(k) wrt k?\nAnswer: -180*k**2 + 6456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.159 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 12:38 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -275097\nAnswer: -7152522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4320 and 66?\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (688*v + 719*v + 711*v)*(v + v + 0*v) - v**2 - 1 - 1 - 5 to the form b + k*v**2 + d*v and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/15 + (-96)\/(-36). Put -75, m, -8 in decreasing order.\nAnswer: m, -8, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-138079209.\nAnswer: -276158418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(315 + 92 + 104 + 2*q) to the form m*q + x and give x.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 2151591.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 510*d**3 + 7 + 78*d + 38*d + 57*d**4 + d**2 + 378*d**3 - 52*d**4 + 49 wrt d?\nAnswer: 60*d**2 + 5328*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 453*n - 4534. Let v be b(10). What is the fourth biggest value in -1\/115, 6, v, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37429382, -37429381, -37429380?\nAnswer: -37429379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -91012 (base 11) in base 14?\nAnswer: -36721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(18\/(-28))\/(-9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 20. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176755327 to the nearest integer?\nAnswer: 13295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37045081 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/12 - 1113\/954.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -67*-0.1064\nAnswer: 7.1288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 34. Suppose -3*j - 25 = -4*q + 19, 4*j = 5*q - 56. Calculate the remainder when c(23) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.11, 3 in increasing order.\nAnswer: -2\/9, -0.11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 4. Let g be q(4). Suppose -2*h - h - 24 = g. Let i = -5 - h. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*n = -5*n - 35, 0 = z - 2*n - 2. Suppose -s + 85 = 2*x + z, 365 = 5*s - 3*x. Differentiate 42*c**4 + 47*c**4 + 19 + 5 - s*c**4 wrt c.\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 2. Let l be a(4). Let r = l - -1. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*h**3 - 15174*h**2 + 300468*h - 1918440.\nAnswer: 3*(h - 30)*(9*h - 146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2219*a = 2275*a + 784 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 870624 divided by 3.\nAnswer: 290208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31118519 to the nearest integer?\nAnswer: 5578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5087 + 5087 - 74*v)*((0*v - 2*v**2 + 0*v)*(4 - 4 + 2) + 6*v**2 - 6*v**2 - 10*v**2)*(3*v**2 - 3*v**2 + 2*v**2).\nAnswer: 2072*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28076 and 12.\nAnswer: 84228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.251 - 1.251. Let h = 165\/8 + -21. Is h greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 250. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 - -b?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*a - 2. Let m be 2\/a + 1\/2. Suppose 3*i = -m*i + 45. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.2 (c) -5 (d) 0.103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + 2*x**5 - 5*x**5 + 122*x**3 - 30*x**5 - 122*x**3 + (1 - 2 + 2)*(x**3 + 5*x**3 + 0*x**3)*(2*x**2 + 4*x - 4*x).\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -3721 (b) 3 (c) 4\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3321861 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 - f**2 + 3*f - 1. Calculate z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.089914 millennia to centuries.\nAnswer: 20.89914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**2 - 261433544*k + 522867072 = 0.\nAnswer: 2, 65358384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:57 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3135746*h**4 - 3268*h**2 - 731.\nAnswer: -75257904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 291, 399, 491, 573?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7195011.35 to the nearest one thousand.\nAnswer: 7195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (288\/5)\/(159\/1060). Calculate the remainder when (-2)\/15 + (-20)\/(-225)*f is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160\/6*(-128040)\/(-68288)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6581 days in milliseconds?\nAnswer: 748059840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/21001197 and -23\/1008.\nAnswer: 1008057456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -19204\/1737?\nAnswer: -19204\/1737","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/627*-11*1476\/24?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/20 - ((-39)\/(-507) + 11\/26)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 598 = 4*t + 12*b, -t - b = -146. Calculate the greatest common factor of 34484 and t.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1038003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*m + 35, 2*m + 21 = 3*t - 8*t. What is the second derivative of -5*j**2 - j**2 + j + 6*j**2 + m*j**5 wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-884)\/45 - 2\/15. Let h = t - -20. Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 190 = -4*t, -184*t + 356*t + 10*u - 95 - 265 = 176*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87493 = 5250*k - 523243 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94.3 * -21.\nAnswer: 1980.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -173751, -173719, -173689, -173661, -173635, -173611, -173589?\n\"Answer: -v**2 + 35*v - 173785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let x(a) = -6*a - 39. Let w be x(-9). Suppose -53 = -3*d - k - p*k, -w = -d - 3*k. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197241127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1575 and 23520.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -828 divided by 4\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 15) to base 12\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -162? (a) -0.4 (b) -1\/5 (c) -3.6 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 23*i - 2918. Give p(127).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 5*i - 3, 2*u - 11 = 3*i. Let k(q) = -q**2 + 6*q - 5. Let p be k(u). Solve -4 = p*t - 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139.32*-0.041.\nAnswer: 5.71212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 + 19*t**2 - 47*t + 574. What is the least common multiple of o(10) and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 553 - 541. What is the smallest common multiple of q and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-3))\/((-6)\/(-9)). Suppose v = w - 1. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6623 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4193)\/12579)\/((-3)\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 - 38*g - 134.\nAnswer: -38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 289*q**2 + 1517*q - 27623. Determine v(284).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/218056974 and -79\/3759603?\nAnswer: 218056974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 169, 348, 695, 1264, 2109, 3284?\nAnswer: 4843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 0*x + 3*x)*(-3*x + 0*x + 2*x) + 0 - 3195*x**2 - 2 + 3194*x**2.\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-2*x**2 + 5*x**2 - x**2)*(0*x**2 - 2*x**2 - 5*x**2) - 6*x**4 - 5*x**4 + 0*x**4 to the form i*x + j*x**3 + g*x**4 + c*x**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*m - 143, c - 274 = 4*m + 3. Sort m, -3, 1 in descending order.\nAnswer: 1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 29. Let y be 8\/(-20)*z\/(-4). Do -0.09 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -727*k**2 - 124 - 1142 - 1419*k**4 + 727*k**2 + 309 wrt k.\nAnswer: -5676*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 81245*j**2 + 12*j. Let z(m) = -81244*m**2 - 13*m. Let t(l) = 5*w(l) + 4*z(l). Let n be t(8). Round n to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let j be o(5). Let z(c) = j*c**2 - 13*c - 8*c + 21*c. Let b(l) = -8*l. Give b(z(u)).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1197.0000001037 - -1197. What is i rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-130)\/(-1)*((-20)\/25)\/(-2). Calculate the remainder when 219 is divided by j - (-3 - -8) - 2.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/15? (a) 3 (b) 5 (c) 0.11 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5747*u + 2875*u + 16*u**2 + 2872*u + 7*u**2. Let a(z) = 171*z**2. Determine w(a(t)).\nAnswer: 672543*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaiaaaaii?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14*p**3 - p**2 + 2. What is the lowest common multiple of 7 and u(1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -45*d**2 + d + 3. Let g(z) = -95*z**2 + z + 6. Calculate 3*g(a) - 5*t(a).\nAnswer: -60*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73697427 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -0.2 (c) -1.8 (d) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u - 28*u + 14*u - 5. Let z be 5\/((-65)\/(-5) + -8 - 6). What is x(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 - 134. Is y greater than or equal to 21\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/14 - -5*11690\/(-39900)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5))**43\/(k**(-12)\/k**(-8\/5)) assuming k is positive.\nAnswer: k**(1342\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326458244 by -5138.\nAnswer: 63538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 54 = -44*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -612025*o**2 + 4728*o + 19 wrt o?\nAnswer: -1224050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 9*s + 2. Let w be i(-12). Let a = 36 + w. Suppose 2*r + 25 - 187 = -a*z, -2*r = 4*z - 322. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23827156*t + 22982787 wrt t.\nAnswer: -23827156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-1) - 2 - (7 - 9). Let m = x - -28. Suppose m*l = 289 + 2921. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Let k(b) = -b**3 + b**2 + b + 8. What are the prime factors of k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from onoooooooocoonono?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11 - 1 - 12*g - 27*g**2 + 5. Let k(a) = -11*a**2 - 5*a + 6. Suppose 0 = 2*v, -4*v + 11 + 4 = -3*w. Let x(d) = w*y(d) + 12*k(d). Factor x(o).\nAnswer: 3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*k**2*o*w + 9*k**2*o - 2*k**2*w - 5514*k*o*w - 7110*k*w - 145*w - 9 wrt o.\nAnswer: 33*k**2*w + 9*k**2 - 5514*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110612989?\nAnswer: 29, 521, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -204 and 0.03?\nAnswer: -6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615013 and 25956?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = n, -o + 3 = n - 5*o. Let x = -3 - -5. Suppose n*l - x*l = 269. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.7099596 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75250.04kg?\nAnswer: 75250040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 12 (c) 0 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 193018.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmhmahaamahacamaaah. Give prob of picking 2 a.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 5*s - 3. Let r(f) = -f + 12. Let x be r(5). List the prime factors of w(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-48)*((-2891)\/59 + 77)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -311 + 353. Let k(d) = -9*d**2 - 21*d + 1. Let p be k(-2). What is the highest common divisor of p and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 4:14 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -5*s - 2*h - 9, -5*s + h + 3*h = -175 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 26 = -3*m. Let j = m - 28. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1341, -9306, -30533, -71652, -139293, -240086, -380661?\nAnswer: -567648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48555648041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 4*t - 36, 5*t + 3*k = 8 - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -45. Suppose 4*y = -5*s + 7, 5*y + 0*s - t*s - 18 = 0. Suppose -y = 4*n - 11. Solve i = -0*i - n*a + 10, 0 = -i - a + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 410*c - 715. Does 48 divide m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52641529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1150 - -2213. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 34 + 3007*i.\nAnswer: 3007*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-132)\/(-126) + 5 + -6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -19.1, 2\/137 in increasing order.\nAnswer: -19.1, 2\/137, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by -1 + 2 - ((-60)\/(-3))\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27058, 28071, 29084?\n\"Answer: 1013*f + 26045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.22844ml in litres?\nAnswer: 0.04922844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/((-416)\/1040)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 35.44. Round c to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.0663um to centimeters.\nAnswer: 0.00170663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k + 5. Determine a(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*5\/10 - 1*-75. Suppose d*i - 76*i = -20. Solve i*s + g = 0, -2*s - g - 2*g = 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*o - 40, q = 4*q + 5*o - 46. What is the third derivative of 11*x**2 - 6*x**2 - 4*x**3 - q*x**3 wrt x?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 2*g**5\/5 - 15*g**4\/2 + 38*g**3 - 73*g**2 + 60*g - 345. Determine z, given that d(z) = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26750 divided by -1\nAnswer: -26750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 191983\nAnswer: -575949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lntt when four letters picked without replacement from thtnhhlhthlhht?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122201475.\nAnswer: 3, 5, 11, 148123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d + 2. Let p(w) = 20*w - 11. Let k(c) = -2*p(c) - 11*v(c). Let z(n) = 3*n. What is k(z(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:08 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - -39. Let j be ((-8)\/24)\/(l\/303). Let u = 2158\/185 + j. Calculate the common denominator of u and 83\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3510557624 to the power of 1\/2, to the nearest integer?\nAnswer: 59250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 40*b**2 + 26*b - 25. What is the thousands digit of f(40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3825 + -161. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 41. Let m(p) = p**3 + 5*p**2 - 7*p - 7. Let c be m(-6). What is the remainder when (63 - -3 - -3) + c is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-36)\/21\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 9 = 11. Let u be (5 + i)\/(1\/3). Suppose 3*d - d - 12 = -2*w, -3 = -u*d + 2*w. Solve 15 = 5*r - 2*x - d*x, -3*r + 5 = x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 22, 21, 20?\n\"Answer: -c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.2. Let g(x) = x**3 + 6*x**2 - 89*x - 9. Let z be g(7). Let r = -56 - -56.1. What is the closest to -0.2 in r, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/117558 and 45\/7.\nAnswer: 117558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -465, -432, -369, -270, -129, 60, 303, 606?\n\"Answer: k**3 + 9*k**2 - k - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 373782 and 4298493?\nAnswer: 8596986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*g - 20*g - 4*g - 50*g + 2*g**2 - g**3 in the form k*g + b*g**3 + v*g**2 + q and give k.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 - -2.18. Which is the third smallest value? (a) -6 (b) 1\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 1, l: 1, i: 1}. Give prob of picking 1 i and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**1*o*o\/(o*o**(-21))*o\/(o**(-5\/3)*o)*o*o**9 assuming o is positive.\nAnswer: o**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 - 2*p + 1. Let h(z) = -9*z**3 - 6*z**2 - 12*z + 54. Determine h(k) - 6*s(k).\nAnswer: -15*k**3 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -32*p**2 + 270*p + 1090. Determine m(-4).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 + -4. Let i = k - 0.14. Let g = -0.26 + i. What is the second biggest value in 1, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*g + 43564, -i - 4247 = 4*g - 91411. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 102*b**3 - 5*b**2 + 4*b - 6. Let y(k) = -205*k**3 + 9*k**2 - 7*k + 11. Calculate -9*t(s) - 5*y(s).\nAnswer: 107*s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 11, h: 1, u: 2}. What is prob of sequence ehue?\nAnswer: 11\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17642\/13 + 1362. Let b = -159\/130 + a. What is the common denominator of 1*(-74)\/14*1 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o + 10. Let q(x) = 10*x + 30. Let c(j) = -q(j) + 3*y(j). Let r(k) = 390*k**2 + 2. Calculate r(c(w)).\nAnswer: 390*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*u - 802 = 26102 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - c8b7?\nAnswer: -c8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/6 + -15 + 1935\/10. Calculate the highest common factor of 399 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6421 - -2562. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 11*z**4\/4 + z**2\/2 - 6*z + 255. Let t(q) = 12*q**3 + q - 7. What is -5*t(w) + 6*y(w)?\nAnswer: 6*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5136525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.009, 73, 24, 5?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(3 - 3 + q) + 0*q + 2*q + 2*q)*(-81*q - 30*q + 42*q)*(10 - 5 - 8).\nAnswer: 414*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-3)\/42)\/(6\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982411?\nAnswer: 919, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -179613700 to the nearest 1000000.\nAnswer: -180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 8*j**2 + j - 8. Let k be (-118)\/(-4) - 5\/10. Suppose 0 = -5*y - 2*t + k, -5*y = -y + 5*t - 13. Does 12 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 7*n - 8*n. Which is the closest to n? (a) 3 (b) 0.5 (c) 223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*w + 46*w + 3084 = 124*w. Solve w*c + 10 = 259*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 13*m + 12. Calculate a(-11).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -190.\nAnswer: 17\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6260741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Calculate prob of picking 2 a when two letters picked without replacement from lakaa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -53362 divided by 2\nAnswer: -26681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-5)\/u)\/u*u)**2\/(u*u**(-19))**(31\/3))**(-12) assuming u is positive.\nAnswer: u**(-2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10302 (base 5) to base 14.\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4564 - -4563. Which is the nearest to -13? (a) 1\/5 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 202116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**3 - 25*h**2 + 11*h - 10. Let i(f) = -7*f**3 + 24*f**2 - 10*f + 7. Let g(j) = 7*i(j) + 6*n(j). What is the tens digit of g(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 + 852*d**3 - 1740*d**2 - 4276*d + 5160 = 0. What is d?\nAnswer: -215, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 2541?\nAnswer: -3303.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*d + 243 = -191 - 7 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1088)*3 + sqrt(1088)) - ((sqrt(1088)*2 - sqrt(1088)) + 2))**2 + -2.\nAnswer: 672*sqrt(17) + 479810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8279 - -8.5.\nAnswer: 13.3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2271 and 24792.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.98 - 7. Let z = 0.48 - l. What is the biggest value in z, 0.3, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5483622um?\nAnswer: 0.00005483622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 43. Calculate b(74).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j + 5. Let a be t(0). Let s = -1415 + 2150. Suppose -55 = a*v - s. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**2 - 231*u - 5260.\nAnswer: -2*u - 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 25, 1, -0.04, -5 in ascending order.\nAnswer: -5, -0.04, 1, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-15851622 + -2)\/4. Suppose -4*v - y = -13322910. Round v to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**3 - x**2 + x - 3. Suppose 4*y + 64 - 76 = 0. Let f be d(y). Is f bigger than 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -12. Suppose -4*m = 5*b + z, 0*m = m. Is 94*(-3 - 7\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26b6 - -4?\nAnswer: 26ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163089*l + 163089*l - 7*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1411208.90999944 + -1411209. Let n = -0.91 + 1. Let l = j + n. Round l to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86155, 0.06, -16 in increasing order.\nAnswer: -16, 0.06, 86155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 21*x**2 - 16*x + 27. Calculate h(-22).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-63))\/((-2)\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 + 3. Let p be (-5612)\/(-32) + -5 + 5. Let d = p + -175. What is the biggest value in q, d, -4\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -5.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*z - 137. Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2477 (base 12) to base 11.\nAnswer: -3109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) -19 (c) -0.4 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 56*s + 42*s + 555*s**3 + 4*s.\nAnswer: 555*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-681 + 660 - 113\/(-1))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5987.67 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11209489 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(8\/(-1)))\/((-6)\/(-504)*-3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 38 = -5*t, -t - 5*m - 11524 = -11502 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -20*y**2. Let p(h) = -24*h**2. Calculate p(n(v)).\nAnswer: -9600*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37880630 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(80\/(-25))*6*(-8)\/180. What is the fourth smallest value in 0, z, -3303, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3 - w - 3. Let h be (-1 + -1)*(-2)\/(-4). Let x(p) be the second derivative of -5*p**3\/6 + p**2\/2 + 22*p. Give h*x(i) + 3*u(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13422 is divided by 12771?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0 + 0*a**3 - 1\/60*a**6 - 2\/45*a**5 + 1\/9*a**4 - 5\/2*a**2 + a. Let u(i) be the first derivative of k(i). Factor u(q).\nAnswer: -2*q*(q + 2)*(3*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -27493*t + 742306. Determine d(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 - 339\/333))*((-300)\/120 + 4)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.280748 and -40.\nAnswer: -41.280748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -927?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - v + 1, -4*a = -3*v. Suppose r + a = -0. Does 11 divide (-10 + r\/3)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6849811l?\nAnswer: 684.9811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -14, 5, 8, -244, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2987 - 1963. Let c = 1719 - k. List the prime factors of c.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 5*h - 24, -7*h + 5*h = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*n*t + k*n + k*t - 41*k - n*t + 91*n - 1146*t + 2 wrt t?\nAnswer: -2*k*n + k - n - 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 217, 554, 1041, 1678, 2465?\n\"Answer: 75*b**2 - 38*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqc. Give prob of picking 2 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4466 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/28 and 73\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66.63 - -66.6. Which is the nearest to -2\/3? (a) -1\/4 (b) 0 (c) 2\/13 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 4125.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/9 - 1648*u\/3 + 339488 = 0.\nAnswer: 1236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -4 - (17 + -4 + -7) - 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(5\/2) + -1 - -8. Suppose 5*j - 236 = -u, 0 = -4*u + 3*j + 2*j + 844. What is the highest common divisor of u and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.024267 - -226.5\nAnswer: 226.475733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(108)\/sqrt(4) + sqrt(6)\/(sqrt(128)\/sqrt(4)))**2*4.\nAnswer: 130*sqrt(3) + 907\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00073651091 to six dps.\nAnswer: -0.000737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 69.7196mm?\nAnswer: 0.0000697196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 222726 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.00469076?\nAnswer: -0.00469076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1983063)\/932*3\/((-18)\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, u: 2, t: 1, c: 1, b: 3}. Give prob of sequence ictb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f**6 + 0*f**3 + 0*f**7 - 1\/8*f**4 + 10*f**2 + 0 + 0*f**5 + 1\/168*f**8 + 0*f. What is the second derivative of h(c) wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1401 (base 6) in base 16?\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97641742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -27*g**3 - 1894299*g**2 + 35580360*g + 8000292 = 0.\nAnswer: -70178, -2\/9, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -5.1. Let p = b + 1.5. Let z = 0.4 + p. What is the closest to -2 in 1\/2, -3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*p + 145*p = -13*r + 41 - 17, -4*r = -4*p + 48 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-20)*(n*n\/(n**(-19)\/n)*n)\/n)**(1\/52) assuming n is positive.\nAnswer: n**(1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {c: 2, e: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.2 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42525 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 314622345 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**3 - 12*c**2 - 12*c - 91. Let t(q) = -5*q**3 + 9*q**2 + 9*q + 88. Determine -3*f(v) - 4*t(v).\nAnswer: -v**3 - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78561 divided by 43.\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.7 and 48398.1.\nAnswer: 48396.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1, -32.2.\nAnswer: -32.2, -1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28 and 0.258.\nAnswer: 28.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 f when four letters picked without replacement from {z: 9, f: 10}.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 8. Let a be (2 - 2) + (7 - -1). Let b be q(a). Suppose b = 3*s - 2*s - 3000. Round s to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 16 = -g, -5*g - 33*r + 32*r = -4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*n - 18 = 0, -5*n = l + 85 - 104 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15192291 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: What is the second biggest value in -3, -0.04495, -0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q = -960. Suppose 17*z - 20*z + q = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, -37, -20, 3, -4 in descending order.\nAnswer: 12, 3, 1, -4, -20, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3444642564166 and -7.\nAnswer: 3444642564159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80 and -835826.\nAnswer: -66866080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 723*n**4 + 2*n**3 - n**2 + 7130*n wrt n?\nAnswer: 8676*n**2 + 12*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-27531)*-9*1806\/172.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156415 divided by 22345?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 2:10 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 104, 116, 132, 152, 176?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2970820 and -109\/5050394?\nAnswer: 50503940","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Suppose 1 - 5 = -2*w. Suppose -w*b - 3*d = d - 18, 4*b + 4*d - 52 = a. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 65484?\nAnswer: 720324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -599 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + a = -14, -y + 0*y - 5*a = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 4:18 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*y + 4 = 0, y - 3*y = -2*a + 4. Let k(t) be the third derivative of 0*t**3 + 0 - 1\/72*t**4 + t**2 + 1\/90*t**5 - 1\/360*t**6 + a*t. Factor k(z).\nAnswer: -z*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1305*b**2 - 6*b + 30?\nAnswer: 2610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 - 33*w**2 + 10*w - 21. Let n be 2\/(-5) - (114\/(-10) - -2). Let j be u(n). What is the greatest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 19\/(3 + -4). Let g be (-6)\/f + (-60)\/14. Let d be g\/20 - 91\/(-55). Is d at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106062 divided by -27.\nAnswer: 35354\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/12 - 347*t**2. Let v(p) = 563*p**2. Determine f(v(n)).\nAnswer: 1126*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 8*n + 2. Let u be w(4). Solve 15 = 3*h, u*l - 3 = -0*l + h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4635 - -4.\nAnswer: 4639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 18987471.6 to the nearest 10000.\nAnswer: 18990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -6)*6\/(-3). Is -1 - 0 - (r + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -1 + (3 - -1))*-22. Let h = b + 108. Let i = h - -133. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -114?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -62. Calculate the least common multiple of 16 - (o\/10)\/((-15)\/(-75)) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 4:42 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*t - 3*m - 84, -2445*t - 5*m = -2490*t + 910 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*d - d + 4, 0 = 4*d + 12. Let k be h + 2\/(1 - 3). What is the units digit of 3\/(-2)*10\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -1 - 4. Let x be d*(-4)\/(-2)*1. Suppose 0 = -x*o + 143 - 25. What is the remainder when o is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 58.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.92 + 0.08. Let w = 353 + -367. Let d = u + w. Which is the nearest to 1? (a) d (b) 0.5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-564)\/(-8883)*1092\/(-24)?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*l = -68, 8*l = -4*w + 4*l - 112. Let z = w - -15. Let p be (-2)\/3 - 24\/z. Solve p*a + a = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 247*j**2 + 115*j**2 + 2*j + 3*j.\nAnswer: -132*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9975 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 75 = -3*o. Let m = o - -66. Calculate the remainder when 122 is divided by m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3)*(t + t - 6*t) - 3*t + 9*t + 3*t in the form z + n*t and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2913*g - 2949*g = 612 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -616*k**2 + 942938*k - 942938*k. Let t(x) = 2*x. Calculate t(a(j)).\nAnswer: -1232*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(242)*-3 - sqrt(242)) - (5 + (-5*sqrt(242) - sqrt(242)))) + 1)**2.\nAnswer: -1232*sqrt(2) + 47448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1882 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -126, -116, -74, 12, 154?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 22 = -5*h, -10456*n - 5*h = -10448*n - 54 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etsbseesbbs. Give prob of sequence bssb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 24 = 4*a, a + 20*k + 10 = 22*k. Is a bigger than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23836 - -34617. Let i = v + 5550. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-148)\/7*1 + 12*(-1)\/14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23378992 or -23378993?\nAnswer: -23378992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 6*o + 8. Calculate the remainder when (-1 - 0)\/((-594)\/583 - -1) is divided by x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*z - 132 = 151*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6257070 divided by 11274\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16110.88 - 1.\nAnswer: -16111.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 28 = 4*r. Sort r, 3, 0.\nAnswer: 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -6. Let k = -354 + 348. Sort k, -0.2, d in increasing order.\nAnswer: k, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 98.2, 2, -4, -2\/79?\nAnswer: 98.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 4 (b) 1 (c) 25 (d) 2\/25 (e) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-5))\/((-1)\/5). Let h be (-300)\/78 - (-6)\/(-39). Is (-596)\/h - 6\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -411 - -423. Let g be x\/9*(10\/(-4))\/(-5). Factor -g*k**2 - 2\/3*k + 4\/3.\nAnswer: -2*(k - 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/13 + 126*c**3\/13 - 704*c**2\/13 - 120*c + 4896\/13 = 0. What is c?\nAnswer: -68, -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15756769 or -15756770?\nAnswer: -15756769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = v - 5300002, 524*v - 2 = 523*v. Round n to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 75, 191, 293, 375, 431, 455?\n\"Answer: -z**3 - z**2 + 126*z - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b**2 + 575156*b + 82701106084\/7 = 0. What is b?\nAnswer: -287578\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 + 9*f**2 - 5*f**2 - 8*f**2 - 7*f**2 - 10*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 < 412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.03 - -0.03. Let h be (-1)\/2*13\/(65\/40). What is the closest to d in 1\/2, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 + -8 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7467)\/(-991800)*40 - 8\/30?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t + 11. Let c(m) = 2*m + 1. Let g(u) = -2*c(u) - f(u). Let a be g(-1). Solve -5*y + 8 = 4*q, -2*y + 4*q + q - 10 = a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 761.\nAnswer: -2\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000510042811 to seven decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 greater than -1350\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (0 + -33 + (55 - 28 - 24))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5236)\/578)\/(-7)*17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5 + 50*u**4 - 275*u**3 - 2000*u**2 - 1680*u = 0. Calculate u.\nAnswer: -12, -4, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1953670 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7656.937 millimeters in micrometers?\nAnswer: 7656937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/5)\/r)\/r**(4\/9))**(-24\/7) assuming r is positive.\nAnswer: r**(304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**3 - 13*j**2\/2 - 9*j + 73. Let q(o) = 4*o**2 - 15*o - 9. Let z(i) = 2*q(i) - 3*v(i). Calculate z(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -2. Let s = -16 + i. Is 9 a factor of (-976)\/(-24)*(-6)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let z(a) = 3*a**2 + 9*a - 77. Let r(w) = 4*h(w) + z(w). What is the first derivative of r(m) wrt m?\nAnswer: 6*m + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 7*i**2. Give z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*r - 3*l + 4, -2*r - 21 = 5*l. Suppose -3*w - 12 = 3*p, -4*p - 6 - r = 2*w. Are p and -4\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 3*l. Let k be z(3). Let c = -5034\/2717 + 280\/143. Let m(v) = -2*v**2 - 2*v - 1. Let a be m(-2). What is the third smallest value in a, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1742111 is divided by 386.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -82.06. What is b rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4440*c - 4632*c = -192 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15828, -63336, -142530, -253416, -396000, -570288?\n\"Answer: -c**3 - 15837*c**2 + 10*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -96\/5, 0.3, -3?\nAnswer: -96\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 3*y - y + (-1577 + 337 - 1526 + 200)*(-10*y - 16*y + 2*y + (2 + 2 - 5)*(0 + y + 0)) to s + p*y and give p.\nAnswer: 64149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10298*a**6 - 2*a**5 - 13*a**2 - 61*a - 2.\nAnswer: 1235760*a**3 - 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2459*r - 1536912. Give l(-625).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55808658 and 74411544?\nAnswer: 223234632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08972 plus 4.64088?\nAnswer: 4.7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1539)*3)**2*-2 - sqrt(1539)) + -4 - (1 + -2 + (sqrt(1539) - (3*sqrt(1539))**2)))*2.\nAnswer: -27708 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1681*x - 10098. Let i be n(6). Let a(p) = p - 8. Let f be a(6). Put -3, i, f in descending order.\nAnswer: f, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (68\/(-6) + 0)*-3. Suppose g = -3*l - 41. What is the units digit of (-40)\/l - 2\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -3 (c) 6 (d) 1 (e) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76784 - 42722. Suppose -3*m + 4*q - 10009 = -v, -8007 = -m + 4*q. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/8*-10 + 126356\/(-2038).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186*l - 142*l - 260*l)*(-l - 4 + 3 - 3*l).\nAnswer: 864*l**2 + 216*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 422849 and -0.3.\nAnswer: -126854.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 51 = m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b**2 - 36*b - 42. What is the hundreds digit of n(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(833)*2 + sqrt(833).\nAnswer: 3 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35011 (base 6) in base 9?\nAnswer: -6737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + t. Let p be b(-1). Solve 0*q + p*q = -10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 38, 3 in descending order.\nAnswer: 38, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7290 and 1444470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1209145743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 212230?\nAnswer: -212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 46*p**2 + 95*p + 59. Is o(24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -487 divided by -3?\nAnswer: 487\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 21*y**2 + 8*y - 124. What is a(17)?\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 9) + 12 + -11 + -165 + 61.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/180 - 32*v**3\/3 - 70*v**2. Let q(x) be the first derivative of r(x). Let a(y) = 5*y. Give q(a(i)).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3 + 963 = 0. What is the greatest common divisor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + 30 + -22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6751 and 9195019.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -270 - -152. Let q = -117.7 - o. What is the second biggest value in -0.1, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/12 - 5*i**3\/6 - 5*i**2 + i. Let v = -13 - -23. Calculate the remainder when v is divided by h(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, v: 11}. What is prob of sequence vv?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:57 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmssslssmqqq. What is prob of picking 2 s and 1 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**2 + 201*m + 25. Is 5 a factor of c(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 12081 in increasing order.\nAnswer: 3, 5, 12081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/95, 1.2, 366.\nAnswer: -3\/95, 1.2, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 34, 32, 28, 22, 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 837 divide 1773976302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 10752*v - 18862380.\nAnswer: 3*(v - 1290)*(v + 4874)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 6 = 10*g. Find o such that 2 - 7*o**g + 21*o**2 - 4*o - 12*o**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 28*r - 21. Let b be k(5). Let f = -119 + b. Solve -o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**4 - 16*p**3 - 17151*p**2 + 2*p - 3221102 wrt p.\nAnswer: 4*p**3 - 48*p**2 - 34302*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, -940, -2.\nAnswer: -940, -5, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*16\/30 - -2. Let m = v - 79\/30. What is the common denominator of ((-2)\/(-11))\/(4\/(-82)) and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -195306 and -0.9.\nAnswer: -195306.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4*1400\/1120.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11794 + -93197\/8. Let j = l + -144. What is the biggest value in 2\/21, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2837\/15 - -189. Let w = -0.039 - 3.961. Put w, h, -0.3 in decreasing order.\nAnswer: h, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 + 15 + 143 = 90*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -71, -4, -43 in descending order.\nAnswer: 4, -4, -43, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*a**3*b**3*n - a**3*b**2 + 6*a**2*b**3 + 12*a**2*b**2*n - b**3 + 3134*b**2 wrt b.\nAnswer: 204*a**3*n + 36*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-22)*1\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:42 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 17 + 13 = 0. Let o = d - 12. Factor 357*p**2 - 2*p**3 - 2*p - 342*p**2 - 3*p**o - 8*p.\nAnswer: -5*p*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 8. Let m = 0 + 0. Let p be h(m). Suppose 0 = l + 3*l - p. Solve l*x - 3*f + 12 = -f, -6 = -3*x - 3*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129117342667 minus 11?\nAnswer: -129117342678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 9, -6.209131, 3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6391*d**3 - 6313*d**3 + 13725*d**3.\nAnswer: 1021*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1969 and -85\/6021202.\nAnswer: 6021202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8306 plus 6346600.972?\nAnswer: 6338294.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06131 less than -1163.57602?\nAnswer: -1163.63733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*v**3 - 24*v**3 - 26*v**3 - 12*v**2 - 1 - 2*v to the form l + o*v**2 + r*v + x*v**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 1\/((-12)\/(-45)). Suppose -307*o = -291*o + 48. Which is the fourth smallest value? (a) 2 (b) o (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002820571 rounded to six dps?\nAnswer: -0.000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212*z**4 - z**3 + 24504*z?\nAnswer: -2544*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -20. Let u be (i\/(-40))\/(1\/(-4)). Sort u, 2, 1 in increasing order.\nAnswer: 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16715 and 379717998.\nAnswer: 1898589990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*f - 12. Solve 2*m + f = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 14 = -37. Let c(m) be the first derivative of 0*m**4 + 13 + 0*m - 3\/2*m**2 - 6\/5*m**5 + 0*m**a. Find the second derivative of c(v) wrt v.\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 u when three letters picked without replacement from {x: 3, o: 4, u: 10, a: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120804478 by 9.\nAnswer: 120804478\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 2741041, 2 in decreasing order.\nAnswer: 2741041, 2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616242*w + 89039*w + 780955*w + 693211*w.\nAnswer: 2179447*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 616368, 1232464, 1848560?\nAnswer: 2464656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**4 + 168*w**3 + 375*w + 1.\nAnswer: 60*w**2 + 1008*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**3 + 5*t**3 - 2*t**4 - 19*t**3 + 6*t - t**2 + 3*t**3 - 4*t + 2 to the form d*t + u*t**4 + f + c*t**3 + m*t**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 1. Let n be z(6). Let q(s) = -2*s - 6. Let x be 4\/2*2*-1. Let a be q(x). Solve -a*v - 9 = t - 0*v, 3*t - n*v = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 31. Let t = 0.0007 - -0.1993. Which is the third biggest value? (a) -0.4 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 4*w + 2*w. What is the second derivative of w*i**3 - 8*i - i**5 - 3*i**3 + 3*i**3 wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-173)\/7 - (-5465)\/7651?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131.4 - 133.691. Round y to 2 decimal places.\nAnswer: -2.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1652864 and 1745?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10 - 1 = 0. Suppose i*d + 14 = 4*l, l = -6*d + 2*d - 6. Calculate the common denominator of l + (-3 - (-87)\/(-8)) and 41\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 5*v**2 - 12*v - 4. Calculate the smallest common multiple of 4 and r(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1249, -2733, -5193, -8617, -12993, -18309?\nAnswer: -24553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-25)*-2)\/((-2014)\/(-5035))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3 + 7*g**2 + 25*g**2 + 2*g**3 + 3*g**2 + 2*g**3 = 0 for g.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, q: 3, d: 1, z: 1}. What is prob of picking 2 q and 1 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkpkpk. Give prob of picking 4 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k + 6. Let b(h) be the first derivative of 2 + 0*h + k*h**2 - 2\/3*h**3. Find s, given that b(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(-34)*u**0\/(u*(u\/((u*u\/((u\/(u*u\/(u\/u**0)*u))\/u))\/u))\/u))\/(((u\/(u*u\/(u*u**(4\/9))))\/(u**7\/u))\/(u*u**(1\/4)\/u)**(-24)) assuming u is positive.\nAnswer: u**(-514\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3732*v + 21. Let t(s) = -5598*s - 34. Determine -5*t(d) - 8*x(d).\nAnswer: -1866*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 220, 577, 1084, 1741, 2548?\n\"Answer: 75*o**2 - 18*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0988955981 and 0.1.\nAnswer: 0.0011044019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 981*g - 979*g - 2*j = 2*j - 36, 2*g + j = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 136*t**2 - 58*t + 7911. What is g(136)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3500718313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17\/((6\/40)\/(69\/115))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305229313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(-4*x + x + 4*x) + 8930 - 699*x - 8930 in the form i*x + m and give i.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(500)\/sqrt(4)))\/((sqrt(2) - sqrt(2)*2*1)*3) + 5.\nAnswer: -sqrt(13)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 224*0.06\nAnswer: 13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-2)**2 + 5.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(170) + 4*(sqrt(170) - -3*sqrt(170)) + sqrt(170) - (sqrt(170) + (sqrt(170) - 1*sqrt(170))*-2))\/(sqrt(20)\/sqrt(72) - 5*sqrt(40)\/sqrt(4)))**2.\nAnswer: 2829888\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 0*m**2 + 2*m**2. Let g(z) = -60*z + 119*z - 58*z. What is d(g(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 180087 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33711\/267766061 + -778639132780327105\/126921112914. Let o = -6134820 - t. Let x = o - -2\/237. Find the common denominator of 107\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/12 + 9\/72*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6501 - -9369. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11720, 23497, 35360, 47309, 59344, 71465?\nAnswer: 83672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471*w**2 + 1117*w**2 + 2 + 555*w**2 - 1 + 4063*w**2 - 1167*w**2.\nAnswer: 6039*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 6:54 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651*-1.8767.\nAnswer: -1221.7317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = 3*z, z - 6*z = 4*j - 4. Suppose z*s = 4*s - 20. Suppose -61 = -4*u + s*g, 0 = -u - 3*g - 0*g + 11. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 4 + 3*l - l**5 + l + 3 + 0. What is the derivative of v(u) wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7004 or -2374559\/339?\nAnswer: -2374559\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 234.4698 centuries?\nAnswer: 2344.698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 6 + 6 + 0.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 132. Let q(r) = -r. Calculate the remainder when g\/(-2)*(-2)\/3 is divided by q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1166\/(-33)*15\/10. Let i(k) = -k**3 + 2*k**2 + 6*k - 7. Let l be i(5). Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -0.7, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l + 0 + 3*l**2 + 1 + 10 - 5. List the prime factors of k(-8).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 718868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75435478577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/12 + 1038\/(-8). Let r be (-2)\/10 + h\/(-25). Let u = 8 - r. Solve -u*c + 7 = 5*n - 4*n, 17 = -4*n + 3*c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12810 = 953*u - 13874 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 66. Let m be t(0). Let d(k) = k**3 - 4*k**2 - 7*k + 1. Let q be d(7). Let o = q - m. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*y + 1 - 5*y)*(-42 + 6 - 29)*(1 - 7 - 1)*(-2 - 1 + 1).\nAnswer: 1820*y + 910","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 296*k*q*u - 246*k*q - k*u**2 - 24*q*u**2 - 13*q + u wrt k.\nAnswer: 296*q*u - 246*q - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 53*b + 3. Let o(l) = -1750*l - 100. Calculate 3*o(p) + 100*q(p).\nAnswer: 50*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-28))\/(2\/(-40))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 15 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1539 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f + 6*f)*(37*f + 76*f - 46*f)*(-3*f**2 + 3*f**2 + 2*f**2).\nAnswer: 938*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (28 - (-10 + 25)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*j - 7*j - 1052, -j - 220 = 2*o. Let w = -628\/3 - j. Factor -8\/3 - w*l - 2\/3*l**2.\nAnswer: -2*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 8*l**2 - l + 10. Let r be k(8). Suppose f + u = r, -4*f + 4*u + 10 = f. Find the third derivative of 2*t**f - 3*t**3 - 3*t**6 + 3*t**3 wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*30\/(-45)*-3*(-3)\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 - 195*g - 233. What is the thousands digit of w(73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -16*9\/(-10) + 1. Let l = -15 + f. Suppose -l*h + 2\/5*h**3 + 0 + 0*h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 33792433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 741864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 15 - 1. Which is the smallest value? (a) -3\/8 (b) w (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0617 and -28478624785.\nAnswer: -28478624785.0617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 16) to base 6.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 1924 = -34. Let o = u - -299. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -0.2 (b) 0.5 (c) -3 (d) -1\/29 (e) 18082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 80\/24 + (-2)\/(-3). Suppose -5*w = -t - 3, -s*t - 5*w + 63 = -0*t. Suppose -g + t = -0. What is the highest common factor of g and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -32?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 114*v**2 + 59*v + 6103. What is r(113)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100.149 - 109.11. Let n = -0.039 + w. What is the second biggest value in 0.08, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 126, 170, 174, 138, 62, -54, -210?\n\"Answer: -20*m**2 + 104*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 1024696.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1366, -2645, -3842, -4957, -5990, -6941, -7810?\n\"Answer: 41*n**2 - 1402*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xom when three letters picked without replacement from xosommmgsyom?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 237571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88988, -89009, -89060, -89153, -89300, -89513, -89804?\nAnswer: -90185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*q + z, 0*z + 4*z = 5*q - 48. Suppose -q = -5*n + 2*j, -3*j - 12 = n - 5*n. Find the third derivative of -2*v**2 - v**6 + n*v**2 - v**6 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -26.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 35*u + 212. What is k(9)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = -h, -7*h + 24 = 4*g - 15*h. Let c(o) = o**2 - 7*o - 3. Let f be c(-5). Suppose -3*z = v - g*z + f, -3*v - 153 = -3*z. Are -54 and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0 (b) -32 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 1171 + 733. Calculate the remainder when v is divided by 63.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0045649 to five decimal places.\nAnswer: -0.00456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*s + 12575 = -0*s, 5*p = 2*s + 15723. Suppose 4*z + 1273 = 2*y + 5*z, -5*y + 5*z = -p. List the prime factors of y.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (87 + -201 + 117)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 7*k = 2*u - 60, 7*k - 155 = -3*k - 5*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 3, 3\/74, -6, -2 in decreasing order.\nAnswer: 3, 3\/74, 0.04, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 greater than 419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -179*a**4\/6 - 10*a**3\/3 - 2*a + 107. Find the second derivative of u(p) wrt p.\nAnswer: -716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1737, -6213, -13421, -23361, -36033, -51437, -69573?\nAnswer: -90441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by (-31)\/(-5) + -6 - (-329)\/5?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 3. Let x be a(-6). Let w = -16 - -26. Let c = -5 + w. Solve x*m = 7 + c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/l**29*l)\/l*l\/(l**8\/l))**(-2))**(-20))**14 assuming l is positive.\nAnswer: l**(-18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/3 + 44*s\/3 - 70 = 0?\nAnswer: 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.303, 2\/7, -4.2, 0.2 in decreasing order.\nAnswer: 2\/7, 0.2, -4.2, -19.303","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 6450 divided by -2150?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**4\/6 + 41*r**3\/6 + 8*r. Find the second derivative of m(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29240.\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l + 20 = -b, 3*l = b + 29. Suppose -l*h = 10*h - 32167. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25682089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*((-3 - -2) + 284). Let s(f) = f**3 + 17*f**2 + 8*f - 65. Let g be s(-6). Is u greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/216)\/(20\/6 - 3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -1\/32*c**4 - 21*c - 1\/16*c**3 + 0 + 0*c**2. Suppose z(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115998613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 113347 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1041*y**3 - 1042*y**3 + 2078*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5. Let m = 1 + h. What is the least common multiple of m and (12\/9)\/2*12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 18*z + 8. List the prime factors of h(16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4)*-49 - (-17)\/(-68). Let r = 14 - v. Suppose 3*i - 47 = -r*j, 15 = -3*i - 3*j + 57. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 - 1.7. Suppose 3 + 3 = -3*p. Which is the second biggest value? (a) q (b) p (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 214*t + 218*t = 64, -5*t = v - 77 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqkkj. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 35. Suppose -b - 21 = -q. Solve -3*h - b*d = -17, h - 4*d + 0 = 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63, 123, 187, 255, 327, 403?\n\"Answer: 2*q**2 + 54*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-9)\/((-171)\/19))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1636276 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 2324*o - 126 + 89 to s + f*o and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 85304?\nAnswer: -11\/21326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -131\/2. What is the third biggest value in 0, -9, a?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-12\/13))**(-24\/13)*p**29*p**(-2\/21)*p*p*p)**(19\/4) assuming p is positive.\nAnswer: p**(1133141\/7098)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74857049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*12\/45. Let k = -53\/45 - -7\/5. Let d = 6\/1789 + -1813\/7156. What is the biggest value in u, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12355 + 12439. Suppose -75 = 5*n - 490. Which is bigger: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbbo when four letters picked without replacement from {b: 3, s: 4, o: 6, d: 4}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*v - 97*v = 5528. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1231.144 - 1334.14314. Let y = -103 - c. What is y rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002213461 rounded to seven decimal places?\nAnswer: -0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-24)\/(-64) + 3261\/8.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 46 = -4. Let j be z + -1 - (-4 - 0). Put -5, 3, j in increasing order.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/16*(-3)\/15 - (-2)\/4. Let k(l) be the second derivative of x*l**2 + 0 - 2\/39*l**3 - 8*l - 1\/78*l**4. Find r, given that k(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 152 = -5*p + 125, -4*t + 16 = 0. Let x be 132 + -1*(-1)\/1. Let u = x - p. What is the remainder when u is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 6*g**2 + 14*g + 19. Suppose 6*d = 10 + 38. Let s be m(d). Solve -4*l + 5*x = s*x - 12, 0 = -4*l + 5*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 983.6533l?\nAnswer: 983653.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31274 - 16229. What are the prime factors of l?\nAnswer: 3, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(396) + -1 - (0 + (sqrt(396) - (sqrt(396) + -1)) + sqrt(396)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -373290306 divided by -1?\nAnswer: 373290306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2238 + 384 = -18*y. Solve -6*q = -85 + y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 40*b**3 + 828*b**2 - 2016*b.\nAnswer: -4*b*(b - 8)*(b - 3)*(b + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 18 = 8*s - 0 - 1, 3*s = v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2011772 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1, -1\/12, 5\/44, 0.07?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 + 2*x - 3. Let z be w(2). Suppose 2*n = 2*t - 12, 0 = z*t + n + n - 65. Calculate the remainder when 40 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f - f - 76*f**2 + 89*f**2 wrt f.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.83 - 24.53. Suppose -2*s - 2*s + 4*m + 8 = 0, -2 = s - 5*m. What is the second smallest value in l, -5, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 231079\/(-11) + -8 + (-900)\/(-110). Let d = t - -1218335\/58. Find the common denominator of 9\/3 + (-47)\/2 and d.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*o + 6*o**3 - 23391 + 46781 - 23391 to v*o**2 + d*o + b + q*o**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*p = -4, 3*q + 2*p = -0*p + 5. Let n = 1.02 - -0.93. Let g = n - -0.05. Which is the nearest to q? (a) -5 (b) g (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -207, -316, -427, -540, -655, -772?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.05, 6.4, 2\/196223?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 56*d**2 - 3*d - 1. Let x be l(-2). What are the prime factors of (-212 + x)*62\/((-2)\/(-1))?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12235584 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75081 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 412353200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 110*p**5\/7 - 178016*p**4\/7 + 768566*p**3\/7 - 487044*p**2\/7 - 619704*p\/7 - 116208\/7 = 0. What is p?\nAnswer: -2\/5, -3\/11, 2, 3, 1614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/5 + 155\/(-50))\/((-5)\/78410)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69797 - 43714. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000828138 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:52 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94171 - 8180. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2394*y + 847493. Determine k(-354).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -0.03, 1136, 2\/7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11 + 4 - 2*q + 0*q**2 + 3*q**2. What are the prime factors of p(5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 279 and 0.389.\nAnswer: 108.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*b = 20. Let q(p) = -b*p**2 - 37*p**3 + 2 + 6*p + 18*p**3 + 18*p**3. What is q(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, c: 4, z: 2, y: 1, g: 1}. What is prob of sequence zg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740655 = 83*k - 330*k + 4644192. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:59 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*l - 3*f, -25 = l + l - 3*f. Is 9 a factor of (-16)\/(-80) - 64\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320 times -0.054\nAnswer: 17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -145*f**2 + 67*f + 275. Let t(y) = -112*y**2 + 52*y + 214. Let v(k) = -17*r(k) + 22*t(k). Calculate v(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (4745\/150)\/13*-2. Let m = -0.2049 + 0.4049. What is the fourth smallest value in 5, m, -1\/2, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 + -70?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*u - 3072, -4*u + 0*u + 1226 = -2*n. Let j = -409 - n. Let p = -87 + j. Calculate the greatest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1812 + 1816. What is the second biggest value in -2\/11, z, -27?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/146070 and 64\/5331555.\nAnswer: 10663110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23235a (base 16) to base 10\nAnswer: -2302810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {a: 1, d: 1, x: 1, n: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + -2.3. Let y = -107\/60 - -9\/20. Let v = -0.12 + -3.88. What is the second smallest value in v, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -1 + 0*q**5 + 0*q**4 - 3*q**3 + 1\/1680*q**7 + 0*q**6 + 0*q**2 + 0*q. Let x(s) be the third derivative of g(s). Factor x(n).\nAnswer: n**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70149*z - 104515.\nAnswer: 70149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2529, 3888, 5247?\nAnswer: 6606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(1250 - 2528*t - 1250) + 0 - 2*t + 0 in the form d*t + v and give d.\nAnswer: -5058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + v + (2*v + 3*v - 3*v)*(-4 + 0 - 5))*(3*v**2 - 66*v**2 - 40*v**2).\nAnswer: 1751*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6337 - 6303. Solve -g*m = 40*m - 81*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1492.721 - 0.879. Round s to the nearest 10.\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/28 - -1)\/((153714\/(-65212))\/((-88)\/14))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o**3 + 3*o)*(-40*o**2 + 2*o**2 + 6*o**2) - 2 + 2 - 2*o**5 + (-3*o**4 - 3*o**5 + 3*o**4)*(3 - 6 - 3) + 2*o**5 - 2*o**3 + 2*o**3.\nAnswer: -46*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2\/6 - 1179230*p\/3 + 7075245\/2 = 0. Calculate p.\nAnswer: 9, 471683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67791 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: Differentiate -176810090*u**2 - 145972246 wrt u.\nAnswer: -353620180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/8 (b) 1 (c) -5\/2 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7138319.5 - 72261?\nAnswer: -7210580.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 294*y**4 - 29105*y**3\/3 + 106711*y**2 - 391193*y - 1331\/3 = 0?\nAnswer: -1\/882, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 0*l**5 + 5*l**5 + 0*l**5 + 2*l**5 - 3*l**5 + (0 - 5 + 6)*(-l**5 + l**5 + 2*l**5) + 2*l**5 - 4*l**4 + 4*l**4 + 0*l**3 - l**5 + 0*l**3.\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 14*j**2 - 13*j - 17. Let p = 14 - 8. What is the units digit of w(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(96)\/((sqrt(16)\/sqrt(4) + sqrt(4) - sqrt(4)) + sqrt(4)))\/(sqrt(120)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: -4*sqrt(2) + 33\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 7. Let r be a(-6). Let i(w) = w**3 + 4*w**2 - w + 6. Let d be 7650\/(-1020)*(-2)\/6*(-12)\/5. Let l(y) = y**2 + 1. Determine d*l(q) + r*i(q).\nAnswer: q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 104*y + 321. Determine o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(3\/(-51)) + -2. Suppose -35 - p = -2*h. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/2 of a millennium?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 3 + 8 + 3*r**3 + 4*r**2 + 0*r**3. Let p be f(-4). Find the second derivative of -2*j - 6*j**2 + 4*j**2 + p*j**2 + 3*j wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19756745 to the power of 1\/2, to the nearest integer?\nAnswer: 4445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q - 18 = 80*q. Suppose q*l = 5*f - 115, 3*f + l + 45 = 5*f. What is the remainder when f is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 509313.6 litres in millilitres?\nAnswer: 509313600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672\/45 - 157\/(-2355)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5.7 times -4\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 + -42. Let u = -50.9999979 + a. Round u to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(1\/3))**(-11)\/(b**3\/b*b*b*b*b**(-2\/11)\/b) assuming b is positive.\nAnswer: b**(-1336\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3) + (-28)\/(-3). Let h be (2 + q\/(-12))*-20. Let g = -14 - h. Calculate the greatest common divisor of 121 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/56, -1\/4, 5, 4\/7 in descending order.\nAnswer: 5, 4\/7, 5\/56, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 53*b**3 + 3*b**2 + 55*b - 84. Let g(k) = k**2 + 2*k. Let o(c) = d(c) - 3*g(c). What is the first derivative of o(h) wrt h?\nAnswer: 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3878*y + 142272 = -245528 for y.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 75 = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 - -6.2. Let z be -1 + 7 + 400\/(-70). Put 4, c, z in increasing order.\nAnswer: z, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 277. Let l = s + -254.999749. What is l rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*j, -5*j = m - 5 - 2. Suppose 13*a - 17*a = m. Let y be -3*a\/(-36) + 4\/6. Solve 3*i = -y*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-6) + 2\/3. Let n = 24 + -21. Which is the nearest to -1\/4? (a) y (b) -2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4449055 millennia in decades?\nAnswer: 44.49055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965762153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 1174 in descending order.\nAnswer: 1174, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 93496 divided by 3016\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63\/103 in 0.007, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 2. Let a(n) = -n - 9. Let o(d) = a(d) - 3*q(d). Calculate o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2)**2 + -3 + (sqrt(28) - (sqrt(112)\/sqrt(4) - sqrt(28))) + 0.\nAnswer: 2*sqrt(7) + 4029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 114392 divided by -156\nAnswer: -28598\/39","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 794 - 455. Are 339 and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 equal to 182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20414 (base 7) to base 3.\nAnswer: -20212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31780 - -32085. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -17.463 (b) -1 (c) 16 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -37. Let b(h) = h**2 - 2*h - 3. Let g(l) = -l. Let d(r) = b(r) + 2*g(r). Let o(p) = -p. Let i(f) = d(f) - 4*o(f). Calculate i(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23055 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*m - 4, 0 = 3*m - 3*q - 0*q + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 3*v + 60. Is v greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207.09281555 + 0.09472555. Let t = -207 - o. What is t rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/9)\/(4\/((-4)\/2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 20.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 66 = -r + 3*c, -2*r - 3*c - 288 = 0. Calculate the remainder when r*(-1 - 4\/(-6)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + l + 0 - 2 = 0, l = 5. Let q(i) be the first derivative of -23*i**4\/4 + i**3\/3 - i**2\/2 - i + 5. List the prime factors of q(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*g + 48*g + 85*g.\nAnswer: -29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 13*h + 3*l = -366, -3*l + 9 = 0. Let w = 674 + h. What are the prime factors of w?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 = 2*x. Let u(s) = -s**3 + 4*s**2 + 7*s + 1. Let h be u(5). Let o = h + -6. Solve x = 2*p - 4*r - 1, -4*p + 4 = o*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87504725.\nAnswer: 5, 7, 11, 131, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/32013 and -40\/96039.\nAnswer: 96039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 265814177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 - -110.00000013. Round s 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 4581609*w**2 - 2290776*w**2 - 2290830*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28653 times -24\nAnswer: 687672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s - 3. Let m be c(5). Suppose -4*f + 19 = -65. Let a(v) = v**2 - 25*v + 89. Let o be a(21). Solve j - 3*j - m = -3*h, -o*h = 4*j - f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -982*r + 289*r + 587*r.\nAnswer: -106*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17421*f**4 + f**3 - 10246.\nAnswer: 69684*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:47 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m - 280. Calculate the common denominator of m\/(-18) - (0 + 0) and -77\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287 (base 16) to base 4\nAnswer: -22013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5 + (-1 - -1) + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3*-2)\/(3\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 730370493 = -572171313. Let t = f + -21324780266428\/49115. Let a = 3\/517 - t. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*a**3*x + a**3 + a**2*x - 185*a**2 + 157541*a*x - 2*a wrt a.\nAnswer: -456*a*x + 6*a + 2*x - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-4 - -5)) + -5 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.14 (b) 5 (c) -1\/4 (d) 2\/7 (e) -4.1 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 16 - 0) + -21 + 16 + 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 + 3*p + 22. Let l(c) = -2*c**2 - c - 4. What is i(f) + 2*l(f)?\nAnswer: -9*f**2 + f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 21 - (147 + -209)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423 + -10?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13462, -13464, -13466, -13468?\n\"Answer: -2*a - 13460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81355 and 25.\nAnswer: 406775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2123?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w - 4. Suppose 3*g + 7 = -2. List the prime factors of s(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 11*r**2 + 18*r**2 - 8*r**2 + 6*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 3, v: 2, w: 1}. What is prob of picking 1 v and 3 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -835*m**3 + 5*m**2 + 11*m + 5. Is j(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 3. Suppose 0 = -4*m - 2*k - 8, -k + 8 = 3*k. Let j be x(m). What is the first derivative of f**4 + j*f**4 + f**4 - 2 wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943.8002l to millilitres.\nAnswer: 943800.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2814839, 5629669, 8444499, 11259329, 14074159?\nAnswer: 16888989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2728 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a factor of 2602103561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2728\/176*30\/465*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - g - 34 = 0, -3*i - 2*g + 12 = -11. Suppose m = i + 6. Let b = -321 + 321. Sort m, -0.2, b.\nAnswer: -0.2, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, 0.5, -32, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzyzzyczysyszmz. Give prob of sequence ym.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11112 (base 3) to base 16.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1702 - -1650 - (-2 + 4 + -2 + 1 + 2)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.024322 to 2 dps.\nAnswer: -89.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 - 156\/35. Let k = 5 + i. Which is the nearest to 0? (a) k (b) -0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 3, h: 9, y: 4}. Give prob of picking 3 h and 1 q.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4220843l to millilitres.\nAnswer: 422.0843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 526*i**2 + i - 14. Let w be x(-4). Suppose -10*t = 3*t - w. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 23 + 63. Let t be 4*(-2)\/(y\/105). What is t rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8116 and 865652560.\nAnswer: 8116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w. Let y(l) = l**3 + 22. Let z be y(w). Suppose 0 = 3*a - a - z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 2400?\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 138159086 divided by -3213002?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -339.9 - -340.0547. What is x rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*o**2 + 34*o**2 - 16*o**2 - 58)*(-66*o - 82*o + 36*o)*(2*o - o - 3*o).\nAnswer: 224*o**4 - 12992*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 1:22 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - -3. Suppose 22*v - r = 19*v. Suppose 7*o + 6 = v*o. Solve -o*c - 4 = -19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.48357.\nAnswer: 2.41785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*n + 13, -5 = -n - 2*n - 2*g. Suppose -w - n + 1 = 0. Let b(t) = -t**3 + 6*t**2 - 8*t + 10. Let s be b(5). Sort 1, s, w in decreasing order.\nAnswer: 1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/14 - -11\/7. Let m = -10 - -17. Let i = -3.5 - -4. What is the smallest value in i, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 75. Suppose -r + 17 = -2*p, -x*p = -16*p + 15. Calculate the remainder when 17 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52932 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**4\/9 - 16*a**3\/9 + 4*a**2\/3 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2359*h**2 + 9*h + 11. Is g(3) 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 892091095 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84834 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/55)\/((-41)\/(-205)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, f: 3}. What is prob of sequence qq?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*k + 84683 + 7397. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 41. Suppose 0 = -4*l + 7*i - 2*i + 68, 0 = 2*l + 5*i - p. Sort l, 5, -2 in increasing order.\nAnswer: -2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 5\/11 - -1. Let i = -2.228 - -1.928. What is the second biggest value in f, 13, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3614393\/104 + 34753. Calculate the common denominator of 81\/884 and l.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -46*r - 65. Let h(d) = 12*d**2. Give h(v(y)).\nAnswer: 25392*y**2 + 71760*y + 50700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/81484 + -290293\/509275. Find the common denominator of -89\/12 and q.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -174*y - 586640 + 582116 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/37 in -2, -0.5, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11505959 and 3218.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*(4\/(-40))\/(-1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 2*r + 8. Let u be f(-4). Solve -y - m = u, -4*m = -3*y + 13 + 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -176060 and 89.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(1008))*-3 - (0 + sqrt(1008) + -4 - sqrt(1008)))*-5)**2.\nAnswer: 9000*sqrt(7) + 227425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.58033 less than -6.9?\nAnswer: -33.48033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 10:05 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*u + 3*u. Suppose 34 = 3*z - 4*f, 4*f = -u + 4. Solve 0 = 2*q + z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 1600832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*i**4 - 20*i**4 - 28*i**4)*(1 + 4*i - 1) + 730*i**5 - 298*i**5 - 375*i**5.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uututtthut. What is prob of sequence uhtu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(2448)*-3 - sqrt(2448) - (sqrt(2448) - 1*sqrt(2448)*-5)))**2*5.\nAnswer: 7050240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4131329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2421806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 less than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from lwlwlllw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 9*p**2 + 8. What are the prime factors of u(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5091.78 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 99 - 6*w - 22 - 27 - 26 as f*w + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 686*g - 59. Let n(p) = -4185*p**2. Calculate m(n(c)).\nAnswer: -2870910*c**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212.99 + -214. Let m = 1 + i. Let c = m + 0.0099962. What is c rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 51 - 3 = 0. Suppose 3*h - l*h = -3*a + 389, -4*h = -2*a + 260. Let c = a - 84. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {t: 6, o: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 2}. What is prob of picking 1 y and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4886 + 4886.563. Round c to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102218880 rounded to the nearest one million?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-24)*(-42)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28794699.987790425408 + 566.927799125408. Let d = w - -28794289.06. Let u = d - 156. What is u rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -208902934.\nAnswer: 5\/208902934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-22)\/99)\/((-11)\/(-198))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 6*b + 6. Let p(d) = 3*d**2 + 21*d + 1. Let x(f) = 9*f**2 + 65*f - 5. Let s(n) = 7*p(n) - 2*x(n). Determine -17*r(v) + 6*s(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 365 divided by 73\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -8, 1667 in descending order.\nAnswer: 1667, 0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -3\/5*a**5 + 0*a**3 + 0*a**4 + 0*a - 7\/2*a**2 + 9. What is the second derivative of t(j) wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4 - -2 - 25\/(-10). Let k be (-35)\/(-10) + 9\/6. Find the second derivative of -26*c**k - 246*c**3 - 30*c + 246*c**u wrt c.\nAnswer: -520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 26 (b) -4\/11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -43093479.\nAnswer: -1\/43093479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/18 - -2\/9. Let g be 122885\/3675 + -35 + 20\/14. What is the second biggest value in g, -0.1, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1414 divided by -1.\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (14 + -17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 94703 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 362 - 5. Suppose -l = -s - 2*h + 439, 0 = -5*h + 25. What are the prime factors of s?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 13*c - 175. Let x = c + -23. Suppose -5*j - 13 = x, 18 = i + 2*j. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -51 + 59?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyeeeerbvvymrvv. What is prob of picking 1 b, 2 y, and 1 v?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) + sqrt(66) + sqrt(66) + (sqrt(66) - (sqrt(66) + sqrt(66) + (sqrt(66) - 1*sqrt(66)))) - sqrt(66)))*2)\/sqrt(6).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1220 and -73\/4.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5175782 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + 1034024212?\nAnswer: 1034024100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) + ((-217)\/21 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624768 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2434, -2732, -3206, -3862, -4706?\n\"Answer: -n**3 - 82*n**2 - 45*n - 2306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 11*c**2 - 3)*(0*c - 3*c + 5*c) - 3 + c**3 + 3 + (1 - 1 + 2*c**2)*(-4*c + c + c) to the form k*c**3 + j*c + w + r*c**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 27*t. Let g be r(1). Is g\/(-6)*124\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 341 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 7:33 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let i(w) = -w - 1. Let t(g) = -4*g**2 + 3*g + 3. Let d(l) = 3*i(l) + t(l). Give d(a(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1283.3008 + -1282. Let o = 1.3 - t. Round o to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 12:49 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. What is the biggest value in -0.13, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*b + 0)*(14*b**2 - 2*b**2 + 9*b**2) + 15*b**3 - 162*b**2 - b + 14*b**3 - 31*b**3.\nAnswer: -44*b**3 - 162*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 190*u - 161. Let l(v) = v. Give h(l(m)).\nAnswer: 190*m - 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.10317 or 5?\nAnswer: 0.10317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 1745*u**2 - 360*u**2 - 1385*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-21 - -50) + -13)\/(-1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**8\/28 + 1277*y**7\/42 + y**4\/12 - 47*y**3\/3 - y**2 + y - 2111. What is the third derivative of r(d) wrt d?\nAnswer: 240*d**3 + 76620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/8 + (-31 + 6 - (2 + -22)))\/1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 2.2, 2\/5, 0.0772, 3?\nAnswer: 0.0772","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/1797411 and -93\/80822.\nAnswer: 82680906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4602.5 rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 13. Suppose 5*f - r = -0*a + 3*a, 0 = 4*f + a - 21. Suppose 12 + 16 = f*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1005)\/(-804)*3\/(-15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -90161409 divided by 1269879\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26382643?\nAnswer: 7, 31, 121579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, u: 2}. Give prob of sequence du.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83271208081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c + 4. Let h be w(4). Let r = 8.4 + -9.7. Let u = r + 2.3. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 386 and 95896875?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 5*m - 12)*(2787*m + 3904*m - 5531*m).\nAnswer: 5800*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43701*k + 2*k**2 + 43701*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Let w(o) = 4 + 15*o**2 - 21*o**2 + 2 + 3. Calculate w(p(g)).\nAnswer: -6*g**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5898261 from -3.\nAnswer: -3.5898261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 827*m = -831*m - 392311, 4*b - 1569210 = -m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0.4, -3, -0.3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 70 = 12*m. Let n(f) = f**2 + 3*f - 1. Let p be n(2). Let h be 313\/p - (-2)\/9. What is the highest common divisor of h and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/30 + 10*a**3\/9 - 193*a**2\/15 - 434*a\/15 + 11224. Factor q(w).\nAnswer: 2*(w - 7)*(w + 1)*(w + 31)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q. Let n(f) = 4*f + 0*f - f**2 + 502 + 85 - 5*f. Is n(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/2*4\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/((-9)\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, d: 1, m: 8, e: 5}. Give prob of picking 2 e and 1 d.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 - 2)) + (2 + 9 - 30)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 6 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 + (0 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 11\/271894?\nAnswer: 11\/271894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*y + 52*y - 130*y + 74 = 0 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1916 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -285.2084 rounded to zero decimal places?\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 154\/2267?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4420 and 5520?\nAnswer: 1219920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5000 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4129.451 weeks in microseconds?\nAnswer: 2497491964800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*m + 626 = -387, m = -4*u - 4136. Let v = u + 35219\/34. Calculate the common denominator of -3\/2 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(-3 + -5 + -5 + (sqrt(891)*5)**2).\nAnswer: 333930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12364 by -6.\nAnswer: 6182\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -210\/3727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + 52 + -119 + 95?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*((1 + sqrt(1900) - sqrt(1900) - sqrt(1900)) + 0 - (-5 + 0 + sqrt(1900)))*-4 + 2)**2 + 2.\nAnswer: -16000*sqrt(19) + 488902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35 + -32750.\nAnswer: -32750.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -47, -4, 113, 328, 665, 1148?\n\"Answer: 4*v**3 + v**2 - 38*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 8. What is the units digit of i(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5343232 millennia to centuries.\nAnswer: 5.343232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/(31\/(-93)). Let q(v) = 2*v**3 - v - 1. Let x(t) = -4*t**3 - 67*t**2 + 3*t + 47. Let i(s) = f*x(s) - 3*q(s). What is the derivative of i(h) wrt h?\nAnswer: -6*h**2 + 134*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94184*p - 5 - 312041*p + 5 - 73763*p.\nAnswer: -479988*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.08 (b) 3 (c) -27.67 (d) 1 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0 = -8. Suppose -d*i - q = -7, i = -2*i - 3*q + 3. Suppose 2*r + i*h - 7*h - 93 = 0, 75 = 2*r + h. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*n + 676 = 938*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/7 + 8*m**2\/7 + 4*m\/7 - 8\/7.\nAnswer: -4*(m - 2)*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from ssgvggggzgggmgvjzg.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 75\/575*46 - 28\/(3 - 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 3}. What is prob of sequence xx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 93, -106, -499, -1152?\nAnswer: -2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6018, 3, 0.5, -10, -0.1, -1\/6.\nAnswer: -6018, -10, -1\/6, -0.1, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 4*s + 7. Suppose 2*t + 18 = 2*p, 5*t = 3*p - 14 - 23. Give w(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 192*g + 58. Let q be ((-12)\/(-14))\/(36\/126). What is the tens digit of y(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23128, 23130, 23142, 23170, 23220, 23298, 23410?\nAnswer: 23562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485440, 485437, 485434, 485431, 485428?\nAnswer: 485425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -12344974257753.\nAnswer: -12344974257749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4963 = 176*x - 23971 for x.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2362*x + 2*x**2 + 2362*x + x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241396581, 482793163, 724189743, 965586321, 1206982897?\nAnswer: 1448379471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2)\/j)**(-20)\/((j**(3\/2)*j)\/(((j*j\/j**(-1)*j)\/j)\/j))*(j\/(j**(-3\/5)*j)*j**5)**(2\/69) assuming j is positive.\nAnswer: j**(-27833\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:05 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6764.06 - -6764. Which is the nearest to 0? (a) -12 (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0*j + 0 - 2*j**2 - 1\/6*j**3 - 1\/8*j**4. What is a(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + 6 + 268*h**3 - 5*h**3 - 4 in the form r*h + o + p*h**2 + y*h**3 and give y.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694223 at least as big as 2694223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**3 - b**2 + b + 1. Let o be 0 + 1 - (15 - 6). Let w be (4\/o)\/((-2)\/4). Suppose w = -4*m - 3. Calculate h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 600 + -344. What is g in -4*g**3 - 261 - m*g - 72*g**2 - 603 - 176*g = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuiu when four letters picked without replacement from {i: 3, u: 3, n: 1}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -24296\nAnswer: -14577.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21303705 (base 8) to base 9\nAnswer: -8514605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let y(o) = -3*o + 4. Let f(h) = -4*h + 3. Let u(q) = s*f(q) - 3*y(q). Let b(l) = 1. What is -11*b(g) - 2*u(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-78)\/((-1557)\/(-174) - 9) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1626, -12479, -41758, -98673, -192434, -332251, -527334, -786893?\nAnswer: -1120138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (68\/119)\/((-4)\/(-2)). Let x(l) = -4*l + 86. Let p be x(21). Which is the nearest to q? (a) 0.2 (b) p (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 8*d**2 + 6*d - 11. Let o be 4 - 10 - -2 - 3. Let j be m(o). What is the tens digit of (j - (-32)\/4) + 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttthtthtt. What is prob of picking 1 t and 2 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000140446 rounded to 7 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, k: 5, b: 7, c: 1}. What is prob of sequence bk?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 - 2*y**4 + 3*y**4)*(1 - 5 + 5)*((-2 + 0 + 1)*(-2 + 3 + 1) - 5 - 1 + 4 + 173 - 89 + 122).\nAnswer: 202*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z = 366 - 86. Calculate the least common multiple of 580 and z.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -1715, -21 in ascending order.\nAnswer: -1715, -21, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 6:24 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1809531 divided by -3\nAnswer: 603177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 12*r + 88 = -4*w + 55, 2*r + 26 = -6*r - 3*w + 5*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17613885 is divided by 5871293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*u + 5 - 57*u + u**4 wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 367290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242\/3243 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 697*s**3 - 36*s**2 - 6*s + 6. Let i(x) = -698*x**3 + 32*x**2 + 5*x - 5. Determine 6*i(f) + 5*y(f).\nAnswer: -703*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + 23. Let u = 69 - b. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 321.\nAnswer: -4\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 13*t + 11. Calculate the remainder when k(-9) is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135 - -136. Let x be ((-3)\/(-5))\/(a\/2605). Suppose -7*d + 4*d + x = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 148 - 52 = -5*x, -4*c + 240 = -5*x. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26855863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*x - 17 = 0, -3*k - x + 8 = -5. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -11*l**7\/210 - 3*l**3\/2 + 10*l**2. Differentiate k(a) wrt a.\nAnswer: -44*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*m*r**3*w**3 - 2*m*w**4 + 2*m - r**3 - 17*r**2*w - 2*w wrt w?\nAnswer: 450*m*r**3*w - 24*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sls when three letters picked without replacement from {h: 1, l: 1, j: 1, p: 11, c: 3, s: 2}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (1 + 3 + -13 - -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = -16. Suppose 0 = -4*b - 3 - 1. Let u = b - g. Solve 0 = -w - 5*q - 13 + u, -5*w + 1 = -3*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:49 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 64. Let i be k\/30 - 14\/10. Suppose -5*a - 25 = -4*x, -3*x + 3*a + 0 = -15. Sort -2, x, i in ascending order.\nAnswer: -2, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*b = -15, 5*y - 3*b = 3*y + 9. Solve 0 = 2*k - y*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 4, 29.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49870 and -3.\nAnswer: 149610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 2*b - 1 - 3*b - 2*b. Calculate o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (9 - (11 + -3)) + 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185 - -77. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/6)\/(8\/(-12)). Let r = -128 - -131. Suppose 0 = -3*t + r*o + 21, 0 = -2*t + v*t + 2*o - 70. Calculate the greatest common divisor of t and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 i when three letters picked without replacement from liljiliirlrrl?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1404.779373 to 1 decimal place.\nAnswer: -1404.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93485 or -2\/345?\nAnswer: -2\/345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 345 - 339. Suppose -928 + 952 = n*t. Solve -4 = -5*p + t*k - 0, -2*p + 3*k = -3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 106 + 59. Calculate the remainder when 106 is divided by z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-9*2)\/6)\/((-3)\/100)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 24, 51, 94, 159, 252?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 68 - 75 - (9 - 38)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 1)*(2 - 1). Suppose 5*k + u*c + 0 = -5, 0 = 2*k + 3*c + 5. Suppose v = -v + k. Calculate the remainder when 2 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 96909131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v = 2. Let t be (-11)\/(v*(-2 + 3)). Factor 12 + 49*p - 3*p**3 + 93*p**3 + 27*p**4 + 111*p**2 + t*p.\nAnswer: 3*(p + 1)**2*(3*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 36\/7*p**2 - 2*p**3 + 8\/21*p**4 - 1\/35*p**5 + 64*p + 0. Factor t(k).\nAnswer: -4*(k - 3)**2*(k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20096.9514 - 20097. What is the closest to -0.3 in c, -1, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -358 + 351 - (-1 + 99454\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1070052 and 1932?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 k when three letters picked without replacement from {l: 4, x: 1, j: 1, k: 1, d: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (11 + -6 - 32) + -15 - 8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3652 + -25561\/7. What is the fourth biggest value in 3, -2\/7, f, -211, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 7, 5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 33*d**2 + 309*d - 5. What is the units digit of b(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:33 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15460\/16 - 21\/(-28).\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3433652 and 24956?\nAnswer: 58372084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 29250 = -5*a - 9*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2)\/(18\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evxvv. Give prob of picking 1 v, 1 x, and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 4*h + 7. Let o be (-236)\/(-10) + 42\/(-70). Suppose -101 = 13*b - o. Let p be b\/(-9)*(-6 + -3). Let k(c) = c + 1. Give p*k(g) + x(g).\nAnswer: g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120202 (base 4) to base 2.\nAnswer: 11000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072*i - 1091*i + 158 - 616 + 154 + 152 + 155 + 2142*i.\nAnswer: -21*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 3 + 18)*(-2*f**4 + 2*f**4 - 2*f**4) + ((f + 0*f - 2*f)*(1 + 0 - 2) + f - 3 + 3)*(0*f**3 - f**3 + 4*f**3).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29496 is divided by 1016?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.02 in -1, 0.5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7408 + 5214. What is the units digit of (-1)\/((-12)\/(-3)) - i\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 81 + 63. Let p be 46\/(-4 + -1 + 3). Let r = p + m. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 223 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24654 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 77 = 5*s + 4, 129 = 4*z + s. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 8. Let g(t) be the first derivative of -t**2\/2 - t - 3. Let w(l) = 2*l + 4. Let q(m) = 3*g(m) + w(m). Let y be q(7). Calculate f(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186407003\/368 - 506540. Let f = l + -13\/16. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 - -13.01. Let f = -13 + n. Let s = 1 - 0.9. Sort f, s, -0.5 in ascending order.\nAnswer: -0.5, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l = -163785 + 165045. What is the remainder when 440 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/5 (c) 5 (d) -1\/6 (e) 0.39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89 - -112) + (-15 - -2) - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/424 and 40\/477.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 5 - 4)*(-2*c**2 + c**2 + 2*c**2)*(1363*c - 1371*c - 3*c**2 + 8 + c**2) in the form n*c + t*c**3 + j + g*c**4 + k*c**2 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 98.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {i: 10, e: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**2*n**3 + g**2*n + 6*g*n**3 - 3*g*n + 4*n**3 - 8*n**2 - 2*n - 17 wrt n.\nAnswer: 18*g**2*n + 36*g*n + 24*n - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195 - -197. Suppose 0 = -5*b - 1 - 9. Sort 4, u, b in increasing order.\nAnswer: b, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 - 54 = 4*a. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/6 + 6\/18. Let i be w + -8 + 1 + 4. Solve 5*k + 5 = 0, i = t - 2*k - 0*k + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 1308713?\nAnswer: -16\/1308713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 c when four letters picked without replacement from {d: 16, c: 4}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 288723476 to the power of 1\/3, to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82560 and 3072?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 c when four letters picked without replacement from {w: 5, c: 13}?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2479, 1926, 1393, 880, 387?\n\"Answer: 10*h**2 - 583*h + 3052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -81.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 269*r + 2566. What is the thousands digit of g(49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 6, v: 3, o: 3, y: 3}. Give prob of picking 3 y and 1 u.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*-34*(5796\/1785)\/69.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 94*y\/3 - 196\/3.\nAnswer: 2*(y - 2)*(y + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-134156)\/(-28) + 6\/(-21)?\nAnswer: 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2197408 and 736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 121 = -2*n, 63 = -0*n + n + i. Suppose -2*t + 72 = n. What is the least common multiple of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-30))\/((-2)\/27). Let p(h) = -59*h**3 + 3*h**2 + 2*h - 3. Let s be p(-2). Calculate the greatest common factor of z and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555079988.\nAnswer: 2, 17, 71, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjgj when four letters picked without replacement from kkkkgkgjjjkkj?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-85))\/(9\/(-165))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrrq when four letters picked without replacement from {z: 1, x: 3, q: 1, r: 3, l: 4, c: 3}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m**(1\/8))**(-38))**20 assuming m is positive.\nAnswer: m**4465","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/((c*c**(27\/4)*c)\/c)*c)\/c)\/(c\/((c\/((c\/(c**(-1\/9)*c))\/c))\/c)))\/((c*c**(-6))\/c)**(12\/11) assuming c is positive.\nAnswer: c**(271\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -7) + -2 - (-1 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 14*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*y + 202 wrt y.\nAnswer: 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 9*k**2 + 13*k - 6. Let a be j(-7). Let i be a - (1\/2)\/(5\/10). Solve i = 4*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 510563.43 to the nearest 100.\nAnswer: 510600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*s - 111 = 14193 - 1445 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 10*y = -a + 172, 5*y = 10. Calculate the remainder when a is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 6*d + 6. Let t be n(-4). Let b be (-69)\/(t\/(64\/6)). Calculate the common denominator of 45\/7 and b\/216*(0 + -3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9779752 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8)*-11)\/((-176)\/96).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3158895 and 967445?\nAnswer: 5345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 3876 + 3886 = 0. Let x = -52 + 313\/6. What is the smallest value in x, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13262\/3 + -4382. Let q = 39 - s. Suppose 0 = -3*u, -3*j + 3*u = 2*j + 20. Which is the nearest to q? (a) -2\/3 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -644 - -636. What is the fourth smallest value in 52, q, 5, 0.5?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 1. Let c(r) = r + 10. Let t be c(-7). Let s be o(t). Find the third derivative of g**2 + g**6 - s*g**6 - 4*g**2 wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z - 29*z - 359 = -74 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(7\/(-1))\/(-14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558750 by -6.\nAnswer: -93125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 17*d**3 + 4*d**2 + 2*d. Let h(c) = -17*c**3 - 4*c**2 - 3*c. Let r(s) = -3*a(s) - 2*h(s). What is the third derivative of r(f) wrt f?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 4*x + 2*x)*(-8 + 5 + 4) + (0*x + 2*x + 0*x + 1)*(69 - 87 - 166) to k + b*x and give k.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 14*f**2 - 3 to the form h*f**2 + u + q*f and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((56144\/4444)\/(-58))\/(-11)\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 - t**3 - 42*t + 10*t**2 - 1 + 36*t. Calculate k(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525730344*v**2 + 1 + 1051460694*v**2 - 525730349*v**2.\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 75\/2 of a millisecond?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3*q - 12, 5*v + 19 = 2*q + 11 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -21, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -u + 16, 0 = 5*u - 2 - 8. Let b(l) = 2*l**2 - 8*l + 4. What is the remainder when b(o) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5190 by 5.\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 312 = -3*p. Differentiate 20*k - 5 + 6*k**4 - 8*k**4 - p wrt k.\nAnswer: -8*k**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1104 + -1094. Solve 1 = w*j - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2348829 to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 81 = 15. Suppose -12 = -o*r, 4*k + 6*r - r - 4472 = 0. List the prime factors of k.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q + d - 10 = 0, q = -4*d + 18. Suppose 172 = 6*b - q*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71 + 37 - 156)*(-4*y + 6 - 16 + 2*y) to z + m*y and give m.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - 2*m + 12*m**3 - 5*m**3)*(19*m**2 - 10*m**2 - 16*m**2).\nAnswer: -21*m**5 + 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -12 + (604 - 603).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 10. Let s = 10462 + -10466. Let p = -86 - -428\/5. Which is the nearest to m? (a) s (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3229 divided by -5\nAnswer: 3229\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7847 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 131*b - 1682. Let s(j) = j**2 + 3*j. Let o(h) = -5*s(h) + w(h). Factor o(k).\nAnswer: -2*(k - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 7\/3 (b) -0.5 (c) 3\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 116992599348 + 1758\nAnswer: 116992601106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 8 + 12, -l = 5*u - 116. Let q = u - 14. Let d(g) = g**3 + 6*g**2 - 11*g - 10. Calculate the smallest common multiple of d(-7) and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Let b(d) = 3*d**2 + 13*d + 4. Let m be b(-4). Suppose c + 3*j = 313, -t + m = -j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116475.8 or 1?\nAnswer: 116475.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*(-32 - 18 + 138) + 3*k - 4*k - 5*k.\nAnswer: 82*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10584517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*g - 14052, 2*l - 3*g - 3923 = 5450. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3158.34 (b) -7\/6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 5.47. Let j = d + -0.13. Let r = 14 + -9. Which is the nearest to 0.1? (a) -2\/11 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o + 18. Calculate the remainder when (0 - -32) + (-12)\/o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 165 + 735. Differentiate d - 93 - 91 - 25*u with respect to u.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -69. Suppose t = 3*a - 2*s - 53, -a - 3*s = 3*a - 99. Is 21 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 11:18 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1360909 and -40119.4.\nAnswer: -1401028.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (1*-1)\/1. Let z be 4\/(-6)*((-36)\/8)\/(-1) - -2. Sort r, z, -5, 5 in descending order.\nAnswer: 5, z, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7024 - 7021 = 0. Let d(r) = r**3 + 4*r**2 + 6*r + 2. What is d(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - -111?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -2\/5*f**5 + 2*f**2 + 4*f - 5\/2*f**3 + 0 - 41\/8*f**4. Factor c(k).\nAnswer: -3*(k + 5)*(8*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 9. Let s = q - 3. Let t = -34.2 + s. What is the smallest value in -0.3, -3\/5, t?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = -3*g - 237, 399 = 5*p - 4*g. Let c = p + -23. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(450)) + ((sqrt(2) - sqrt(96)\/sqrt(12)) + sqrt(2) + sqrt(2) - ((2*sqrt(2))**2 + -2)) + -3.\nAnswer: -14*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*a - 4*a + 14*a - 4*a)*(-5*a**3 + a**3 + 2*a**3) to the form t + f*a**4 + r*a**2 + y*a + g*a**3 and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(((l\/(l\/l**(-2\/45)))\/l)\/l*l))**12 assuming l is positive.\nAnswer: l**(728\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*z**3 + 150*z**4 + 2*z - 232*z**2 + 2889*z**2 - 2*z - 1604*z**2 wrt z.\nAnswer: 3600*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 2}. What is prob of sequence kwk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1648 + -9863\/6. Calculate the common denominator of l and 54\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 10718737?\nAnswer: 10718737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t - 5 + 2)*(0*t**2 + 3*t**2 + 0*t**2).\nAnswer: -6*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = 3*r, 2*u = -3*r - 1 - 2. Let k be r\/(-5) - 10815\/75. What is the units digit of (-4)\/2 - k - (1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:24 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - (9 + -17 - -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 489 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26188 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -324272 (base 8) to base 15\nAnswer: -2233a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/30*((-138)\/4 - -3)*36\/(-27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2795766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-45118.06\nAnswer: 13535.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 5*x - 5*x)*(-6*x**2 + 3*x**2 - x**2 + (-x - x + 7*x)*(-3*x + 2*x - 7*x) - 2*x**2 - x**2 + 7*x**2).\nAnswer: 80*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/171885515?\nAnswer: -1\/171885515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p**2 - 2*p**2 - 2 - 8 - 23*p - 10*p**2. Let a be y(12). Solve -2*g - 4*k + 36 = 3*g, -a*g - 4*k = -24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 16*h - 498. Let n(o) = 13*o - 510. Give -4*k(s) + 5*n(s).\nAnswer: s - 558","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(77) + 3*(sqrt(77) + sqrt(77)*3))\/(-1*sqrt(396) + sqrt(110)\/(2*sqrt(10))).\nAnswer: -32*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48725.7246 - -0.047572?\nAnswer: 48725.772172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6642\/(-3) + (-12)\/4. Let p = -587 - d. What is p rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2298091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/21)\/((-40)\/28). Let w = b - 27\/40. What is the second biggest value in -4, w, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13625 + 6765 + 4*x**2 + 6860.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 49*f + 184. Let y be b(4). Factor -1\/2*r**5 + 1\/2*r**3 + 1\/2*r**y + 0*r - 1\/2*r**2 + 0.\nAnswer: -r**2*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2341*a**2 - 1197*a**2 - 1155*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3816 is divided by 3812.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 103*u. Let f(z) = z. Give f(k(n)).\nAnswer: 103*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*j = 8, 0 = 5*j - 7 - 3. Solve 19 = 5*d - z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m = 62*m + 25*m - 25201865. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/7 - 156\/(-27). Which is the third biggest value? (a) 2 (b) -5 (c) s (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693 = -70*d - 623 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0116223 to 4 decimal places.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 223\/(-4))\/((-6)\/72). Does 63 divide (-16)\/(-10)*p\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5 (c) -15 (d) -3\/5 (e) 5\/3 (f) 26 (g) 0.003\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81268.8 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.083 (b) -10.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n + 2. Let a(w) = -25*w - 5. Let i(k) = 4*a(k) + 10*f(k). Let z(s) = s. What is -i(d) + 12*z(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.69 - 287.31. Let z = y + 495. Let m = z + -201.81. Round m to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20832 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3890 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 0*d**2 - d**2 - 9*d + 3*d**2 - 4 - d**2. Let i be n(9). Let k = -64 + 61. Put i, k, 0 in descending order.\nAnswer: 0, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -2515?\nAnswer: -31\/2515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from xeoeoeooo?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681703330.\nAnswer: 2, 5, 7, 11, 31, 28559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 8. Let o = 25 - 77\/3. Which is the third smallest value? (a) -3 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -5. Let w(h) = -10*h - 21. Let f be w(a). Suppose -11*j - 6160000 = -f*j. Round j to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**3\/3 - 3*t**2 - 4*t + 4. Calculate z(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -33. Let c be w - (2 + (-6 - -3)). Factor -11*z**5 + 15*z**5 - 8*z**c - 4*z**3 + z**2 + 7*z**2.\nAnswer: 4*z**2*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1595?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 20 = 5*l, -3*a + 30 = 5*l - a. Let f = -169 - -277. Suppose f + l = -4*q. Which is smaller: -30 or q?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (29 - 27 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*w + 8. Let i(l) = l**3 + 2*l**2 - 5*l - 2. Let x be i(w). Let g = 1440 + -1440. Put x, 2, g in decreasing order.\nAnswer: x, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 + -4. Let i = 0 + -1. Let o be 0 - (-2)\/(6\/i). What is the closest to o in s, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 4*p - 6*p. Let w = 17427\/55 + -3140\/11. Let m = w - p. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/12 and (-993)\/270 - 6\/(-15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from vjddddddddjjjjvjjdj.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 53, 63, 79, 101?\n\"Answer: 3*m**2 + m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 500, 553, 606, 659, 712?\n\"Answer: 53*k + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 33 = 2*h. Round h to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5393.914 rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/(8 - -4) - -15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -7 (c) 3522.8 (d) -0.2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**3\/6 - y. Let w be t(5). Suppose 3*s - 67 + 10 = -2*d, -3*d + w*s = -114. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-18)\/21)\/((-4)\/7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3996702565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**8\/560 - d**5\/120 + d**3\/6 + 7*d**2. Let o(k) be the first derivative of f(k). Find the second derivative of o(u) wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 1056*q**2 - 3147*q - 2094.\nAnswer: -3*(q + 1)*(q + 2)*(q + 349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 37*a - 9. Let y(n) = -9*n + 2. Let d(o) = 2*i(o) + 9*y(o). Find the second derivative of d(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1885750*g**2. Let j(f) = 2*f. Determine j(u(d)).\nAnswer: 3771500*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 515 and 1.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 2*v**3 - 4*v**3 + v**2 + (3*v - v - v)*(-14540*v - 465*v**2 + 14540*v).\nAnswer: -464*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -3\/7, 3808\/9, 2, -4, -9.\nAnswer: -9, -4, -3\/7, -0.07, 2, 3808\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*n - 13*n - 19*n + 11 - 12*n to the form a + i*n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -198, -463, -834, -1311?\n\"Answer: -53*f**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 3*n - 2*n - 3*n**3)*(0 + 0 + n).\nAnswer: -3*n**4 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.7, -1, 3\/5, -14\/65 in decreasing order.\nAnswer: 0.7, 3\/5, -14\/65, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1526*b**3 - 2825.\nAnswer: -4578*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Factor d - m*d + 1 - 3*d + 3*d**2.\nAnswer: (d - 1)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538.8886ml to litres.\nAnswer: 0.5388886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -2\/9, 0.04, -2\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a - -6c?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/17)*k)\/(k*k**(-17))*(k*k**14*k)\/(k**(-8\/7)*k) assuming k is positive.\nAnswer: k**(3937\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266.55 - 4.13.\nAnswer: -270.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 11) in base 8?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 60. Suppose -u + 0 = -3*n - 6, u = 2*n + 3. Let a = 3 + u. Is 20 a factor of g(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 358*i**3*l**3 + 2*i**3 + 121*i*l**2 wrt l.\nAnswer: 2148*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h*k**2*q**2 - 4*h*k*q - 33*h*q**2 + 3*k**2*q**2 wrt k?\nAnswer: 2*h*k*q**2 - 4*h*q + 6*k*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19892462.\nAnswer: 2, 41, 242591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4.2 (b) -0.23 (c) -74 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d + 2*x + 20 = 0, 3*d + 38 = x. Let u be (-2439240)\/(-3)*d\/(-30). Let i = u - 708232. Round i to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Let o(z) = z - 3. Let r be o(m). Let t(g) = 4*g**3 + g**2 - 1. Calculate t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6775 - 6488. What is the highest common factor of 252 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-6)\/24 - (-7)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - s - 30. Suppose -m - 3 + s = 0. Suppose 2*g + 4 = m*g. Solve r - 7 = -u - g, -r + 9 = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4287.639 millennia?\nAnswer: 42876.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7533 - 9*k**2 - 10*k + 6*k - 21*k**2 + 7536 + 4*k.\nAnswer: -30*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6183 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 786 - 269. Let l = -514 + n. Solve -4 = -x - 3*u + 10, 4*x - 20 = -l*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2614 < 60088\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2384, -2373, -2314, -2207, -2052, -1849?\n\"Answer: 24*v**2 - 61*v - 2347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + l = -2*l + 3, 3*q + l - 1 = 0. Solve q = -4*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 1:26 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*6*-3*(-5)\/45\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1975?\nAnswer: -1975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 2*k**3 + k + (2*k**2 + k**2 - k**2)*(9946*k - 4263*k + 5755*k).\nAnswer: 22874*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - -0.014748?\nAnswer: 20.014748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12236 (base 14) in base 13?\nAnswer: 17251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2700 divided by 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/8 - 2\/(-4). Suppose 144 = -w*g - 68. Let k = g - -151. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -a + 1, 0 = 3*g - a - 12. Suppose -3*p + 36 = g*s, p + 22 = 4*s - 0*p. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5600735*f**5 - 3*f**2 - f + 8106184?\nAnswer: -336044100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -646, -1418, -2140, -2788, -3338, -3766, -4048, -4160?\n\"Answer: 4*a**3 + a**2 - 803*a + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5 - (53 - -47 - 197).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859181107 to the power of 1\/3, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16121 divided by 1.\nAnswer: 16121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/20*4*30. Suppose 2*v - 2*o = 5*v - 2, -3*v = -3*o - u. Is -631*(-5 - (v + -6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from rrrrqrrqrrrrwrq.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159446*a**2*w**2 + 437*a*w + 26*w**2 wrt a?\nAnswer: 318892*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132 - 6564.\nAnswer: -6432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -335 + 695. Suppose 5*v - h = 5*i - 0*i, 1 = -v. Round i to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21497 = 4*k + m, -5*m - 2241 = -5*k + 24599. Calculate the greatest common divisor of k and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:22 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2) + (-7 - 50\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 12*w = -5*t - 178, -372 = -2*w + 2*t. What is the remainder when w is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 11. Let s be (-1 - (k + 2))\/1. Solve n + 2*p = 3, 4*n = p - s*p - 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5408 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172070\/9 + 1718118968\/89865. Let v = l - -229633\/109835. What is the common denominator of 47\/8 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 9*u - 7. Let w be d(-8). Let q(v) = -1 - w - 5*v + 2. Let c(b) = -b. Give q(c(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -52541*n. Let b(v) = -45*v + 12. Determine m(b(x)).\nAnswer: 2364345*x - 630492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*b = -b - 10, 3*c = b + 6. Suppose -18 - 2 = -5*t. Let f = 3 + t. Solve -3*h - 1 = -f, 0 = n - c*h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 - 44*w + 11. Let p(x) = x**2 - 8*x + 2. Let s(m) = -2*j(m) + 11*p(m). Let f(l) = 29*l**2 - l. What is s(f(r))?\nAnswer: -841*r**4 + 58*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55337783*l**3 + 4*l**2 + 3121*l + 3537?\nAnswer: 332026698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 51 - 5)*(-62*u + 117*u - 62*u - 4).\nAnswer: 357*u + 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 103*d + 41. Give k(-27).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 5, -1, 8 in increasing order.\nAnswer: -1, 0, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9241 + -9244. What is the closest to 1\/5 in 3, 1\/23, u, 0.4?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39767456 divided by -1242733\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -0.54. Let c = 337 + -337.9. Let v = u + c. What is the nearest to -2 in -6\/5, 1\/6, v?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmqhmq. Give prob of sequence mh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 7*u**2 - 3*u**2 - 12*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-6)\/9 + 3. Let a = 0 + n. Let h = -4 - 7. What is the second biggest value in a, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1267 - 16470\/13. Let l = -0.24 + -0.06. Put v, l, 0.2 in decreasing order.\nAnswer: 0.2, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/7)*r*r*r**(-4\/5)\/r*r*r)**(1\/2)\/((r\/(r*r**(-2\/7))*r\/(r*(r\/r**(-4))\/r))\/(r**2\/(r*r*r**7))) assuming r is positive.\nAnswer: r**(-173\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3021\/2 + 63437\/42. Let d(u) = u**3 + 5*u**2 - 5*u + 6. Let x be d(-6). What is the closest to -1 in x, 3\/5, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 12.69198 decades?\nAnswer: 0.1269198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 11:22 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t + 139 - 31 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + k = -4*v - 928, k = 2. What is the greatest common factor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19351*v**2 + 12152 wrt v?\nAnswer: 38702*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-20)*2*17\/(-17).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 - 2*q**4 + 2*q**2 + 302 - 295 - 2*q**3 to the form f*q + w*q**4 + v*q**3 + c + t*q**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 997 + -229. 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: Sort -3839, 2\/5, 58, 0.7.\nAnswer: -3839, 2\/5, 0.7, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -44*x**3 - 116*x**2 - 160*x + 626. Let t(u) = -9*u**3 - 22*u**2 - 32*u + 125. Let h(v) = 28*t(v) - 6*z(v). Factor h(w).\nAnswer: 4*(w + 4)**2*(3*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17458 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1768\/12 + 10\/15. Suppose 5*y - 15 = 0, o + 2*y = -o + t. What are the prime factors of o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18438 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17439, -17438, -17437, -17436, -17435?\n\"Answer: b - 17440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 11*r + 10 + 3*r - r - r**2.\nAnswer: -4*r**2 - 9*r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5487 divided by 4\nAnswer: 5487\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**4\/3 + 2780*i**3 - 16735*i**2 + 25160*i\/3 + 27900 = 0.\nAnswer: -1674, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (282\/12 - 4)*(-8)\/(-6). Suppose 2*m + 0 = 3*o - l, 4*o = 3*m + 36. Let i be 1*(9 - 2) - -1. Solve 2*u = 2*b + o, -4*b = -4*u - b + i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*p + 54*p - 540 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51251578 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115550142 (base 7) to base 15.\nAnswer: -989d23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:29 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 71, 3 in descending order.\nAnswer: 71, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26216 divided by 6554?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m + 3. Let w = -3025 - -3029. Let k(l) = -6*l - 2 + 3*l + 0. Calculate w*r(z) + 6*k(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f + 2. Let y be (-5)\/20 + 25\/4. Let w(d) = -d + 1. Let x(a) = y*w(a) - 2*j(a). What is the derivative of x(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a + 3. Let l = 11614 + -11610. Calculate v(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - j**2 + 1. Suppose -7*o + 45 - 90 - 25 = 0. Let t(v) = -8*v**3 - 5*v**2 + 5. Calculate o*z(r) + 2*t(r).\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p. Let l(w) = 2*w**2. Calculate m(l(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 11*j = 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(2\/(-120)). Suppose -2*v = -12 - o. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - l**2 + 13*l**2 + (5*l - 5*l + 4*l)*(-3*l + 11*l - l) in the form j*l**2 + z*l + n and give j.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 111884 + -0.4\nAnswer: 111883.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-30)*3 + 1\/(30\/(-14)). Which is the closest to 1\/8? (a) w (b) 4 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.42794 and 0.069.\nAnswer: 0.58152786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/8)\/((-2)\/4)*69\/(828\/336)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**8\/840 - h**7\/525 + h**6\/100 + h**5\/150 - h**4\/30 + 10*h**2 + 23*h. Let v(u) = 0. Calculate u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 3, j: 2, x: 3, z: 5}. What is prob of picking 1 x and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -1274, -2908, -5194, -8132, -11722, -15964?\nAnswer: -20858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -617*g - 4324. Give d(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*j + 183 + 223, 0 = -4*j - 4*f + 364. Calculate the highest common divisor of j and 938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 2300?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {t: 3, u: 2, r: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16033057 (base 9) to base 15.\nAnswer: a7d6c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 4*p + 32, -p = p - 6 - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000557939043 rounded to seven dps?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242952168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2218.1 - 2220. What is the third biggest value in -5\/3, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6bc63 - 85?\nAnswer: -6c018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3 = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (648\/30)\/(-12)*5. Let w(u) = -u**3 + u**2. Let d(r) = 2*r**3 + 6*r**2 - 11*r - 1. Let y(s) = -d(s) - w(s). What is the units digit of y(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 (base 11) in base 16?\nAnswer: -ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*b + 68, -3*b + b = 2*j - 48. Let m be (4\/(-6))\/(31\/6789). Let l = -69 - m. Calculate the remainder when l is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)*-9*77\/(-3762)*(-48)\/42.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 3*p**2 - 3*p**2)*(-4 + 4 - 3*p) + (90*p**2 - 7*p**2 - 12*p**2)*(2*p**2 - 2*p + 2*p) + 2*p**4 - p**4 + p**4.\nAnswer: 138*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2 - 91*k**2 + 12*k + 92*k**2 + 7. Let g be w(-11). Is (g*(-314)\/(-8) - 0)*-10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*a + 4*a. Suppose -10 = s - 2*i, 0 = 3*s - 6*i + 3*i + 15. Let q(r) = -r + 2. What is the remainder when a is divided by q(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g - 8 = 3*x, 3*g = -5*x - 28. Let t = 518 + -501. Let z = t - g. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2883956 and 907312?\nAnswer: 80750768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4, -x + 483*b = 956*b - 475*b + 80 for x.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 178?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -182, 7\/22, 8, -7?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*a*j*p**3 + a*j*p**2 - 2*a*p**3 + 7*p**3 with respect to j.\nAnswer: -66*a*p**3 + a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + u**2 - 5*u - 7. Let y = -180 - -178. Let v be n(y). Let i = -0.83 - -1.2. Which is the nearest to v? (a) -2\/17 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -6*v + 589. Let n be 2\/11 - v\/(-209). Suppose 0 = -3*u + 7 - 1. Solve 3*h + 27 = 3*s, 0 = -u*s + n*h + 2*h + 33 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 39*x**4 + 3*x**3 - 52. Let v(f) = -351*f**4 - 26*f**3 + 468. Let u(m) = -26*q(m) - 3*v(m). Differentiate u(c) with respect to c.\nAnswer: 156*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, c: 3}. What is prob of sequence ccss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, 1\/4, 44, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 14439*a + 2*a**2 + 0*a**2 + 0*a**2 + 2*a**3 - 14904*a to i*a**2 + n*a**3 + d + x*a and give x.\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/227373 and 59\/10621?\nAnswer: 127101507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 38. Suppose c*t - 4*t - 125 = 0. Solve 0*x - t = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -l - 294, -4*v + 270 = v + 5*l. Let n = v - 40. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g = 88. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 268*o*q**2*w - 3*o*q*w - 11*q**2*w + 39*q**2 + 3 with respect to o.\nAnswer: 268*q**2*w - 3*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1232711257*h**4 + 6889807*h + 17 wrt h.\nAnswer: 14792535084*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-270*b - 2 + 323*b - 192*b)*(2 - 1 + 1).\nAnswer: -278*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 481355 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85609.2 + 95825. Round s to the nearest 10.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: What is the hundreds digit of 5628854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let w = -5220 - -4275.2. Let d = w + 943. Put v, d, -0.1 in decreasing order.\nAnswer: v, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9454.743 decades to centuries.\nAnswer: 945.4743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**3 + n**2 + 3*n - 1. Let l(h) = -27*h**3 - 298*h**2 - 13*h + 298. Let r(p) = -4*d(p) - l(p). What is y in r(y) = 0?\nAnswer: -1, 1, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t. Let n(g) = -10*g. Give -7*k(m) - 2*n(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**5\/20 - m**4\/3 + 7*m**3\/6 + 3*m**2 - 119*m. Let a(q) = -q**3 - 5. Let n be a(0). Give u(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 10*n + 12. Let h be s(-10). Let v(d) = -d**3 + 12*d**2 - d + 10. Let u be v(h). Sort -3, u, -0.3 in descending order.\nAnswer: -0.3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86181*l - 86183*l + 2*z = -86, -4*z + 136 = 4*l - l for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3067 - 5?\nAnswer: -306c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 324*s - 1945. Give w(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/879, -1\/6, -5, 388, -2 in decreasing order.\nAnswer: 388, 5, 1\/879, -1\/6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.4 + -4.44. Let a = 77.4 - -18.6. Let n = -91 + a. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -18*k + 15*k + 2200, -3*k - 1760 = -4*i. Calculate the lowest common multiple of i and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**8\/1176 + 2*f**7\/735 - f**6\/420 - 21*f**2. Factor m(a).\nAnswer: -2*a**3*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-20 + 2 - -3). Let i be (3\/3)\/((-3)\/m). Let t be i\/(-3)*21\/14. Sort -3, t, 4 in descending order.\nAnswer: 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3 - (-234)\/(-1404))\/(1\/(-4)). Solve 27 = 4*s + 5*n, j*s + 8*n = 6*n + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 4 (c) 46\/19 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20 - h**2 + 52*h + 48*h - 93*h. Let d be x(9). Solve -d*r = -3*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 539\/2 - 4819\/18. Find the common denominator of -74\/3 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1413 and 19843353.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17890, -32966, -48054, -63160, -78290, -93450, -108646, -123884?\nAnswer: -139170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -323.03439 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16567+-0.38\nAnswer: 16566.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 plus -24.7?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(6)\/sqrt(2)*-4 - sqrt(12)\/(sqrt(20)\/sqrt(5))) - sqrt(36)\/((sqrt(90)\/sqrt(3))\/sqrt(10)))**2.\nAnswer: -42*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -631100.3 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1542)\/(-8) - 4\/(-16). Let z = n - 3279\/17. Let u be (-2)\/(-3*4\/6). What is the third smallest value in z, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -4. Let m be -8*((a - 7) + 1). Calculate the highest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29172?\nAnswer: 2, 3, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100697907 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*j + 364*j + 358*j - 1079*j + 2*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -561.141 + 562. Let y = g - 0.8589990225. Round y to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, w: 1, a: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**3 + 43 + 3*x**4 + 2131*x**2 - 4*x**4 - 2130*x**2 as h*x**3 + m + i*x + l*x**4 + w*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/26048765 and -42\/5662775.\nAnswer: 130243825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*g - 2*o + 12, -3 = -3*g + o. Suppose n - g = 7. What is the highest common divisor of 18 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 3536184?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 22 = 3*h. Let j(x) be the first derivative of -x**4\/4 + 5*x**3\/3 + 3*x**2 + 4*x - 2. What is the smallest common multiple of h and j(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022833 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101111 - 1021111101?\nAnswer: -1021212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 65 = -5*t. Let a = 19 + t. Suppose 0 = -3*f + 4*p + 61, 4*p + 31 = f - 0*p. What is the greatest common factor of f and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*i - 71393 = 38786. Is i less than or equal to -461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23621.04 times 0.2\nAnswer: -4724.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -5\/7 (c) -5 (d) -0.3 (e) -232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -41. Suppose -4*c - a*c = -6*c. Suppose -s + b = -1661, -5*s + 0*s + 2*b + 8293 = c. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2968582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 64501 = 2*m + 12535, 11*q - 282484 = -2*m. List the prime factors of q.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by 2?\nAnswer: 99\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**10*(q**1)**(-1\/89))\/((q**1\/q)**41*((q*q**(-4)*q)\/q)\/(q*q\/(q**(-4)\/q*q))) assuming q is positive.\nAnswer: q**(355\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -30. Let g = m + 16. Let t = g - -42. Let q(i) = i**3 - 8*i**2 + 8*i - 9. Calculate q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292.27989 - 292.2. Let x = 0.08 - y. Round x to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-2 - -1))*3. Let t(s) = s**2 + s - 6. Let o be t(j). Suppose -c = 3*c - o. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/30)\/(6\/(-27)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 120\/479 (b) 7\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(243)*3 + sqrt(243) + (sqrt(243) - (2 + sqrt(243))) + -4 - (-5 + ((sqrt(243) + 2*sqrt(243))*3 - sqrt(243) - (0 + sqrt(243) + -1))))**2.\nAnswer: 216*sqrt(3) + 2203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.1254811 rounded to two dps?\nAnswer: 92.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 1)*(-t + 2*t + t)*(-2*t**3 - 2*t**3 + 2*t**3)*(1 + 2 + 0) to m*t + w + n*t**2 + s*t**4 + h*t**3 and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 1. Let z(h) = 3*h + 7. What is -5*o(p) - z(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 39 (b) 0.2 (c) 4\/1517 (d) -5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521.571978 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -67402687*r**2. Let x(d) = 3*d**2. Give j(x(a)).\nAnswer: -606624183*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5270044218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8429960, -8429958, -8429954, -8429948, -8429940, -8429930?\n\"Answer: s**2 - s - 8429960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 0. Let o = 10 + c. Suppose -2*w = 3*n + o - 232, -5*w - 341 = -4*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/88)\/(-3) + (-7)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 465 = 295. Let x = 149 + l. Put 1, x, 4, 5 in ascending order.\nAnswer: x, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89997 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.07, 0.08 in increasing order.\nAnswer: 0.07, 0.08, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*z = 173*z - 92310. Is 129 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqqv when four letters picked without replacement from qqvqqqqqqvqqq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfjpphjhjphhj. What is prob of picking 2 j?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 10 = -s, -3*s + q + 14 = 2*s. What is the lowest common multiple of s and 5\/(-3 + 14\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 269 + -248. Suppose -17*z + c*z = 668. What are the prime factors of z?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22873)\/(-2) + 5\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92704 and 12433924?\nAnswer: 99471392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -531044 (base 6) in base 10?\nAnswer: -43012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q**2 - 964*q - 22887. Calculate j(116).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0) + (0 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69757380*a**2 - 88731273 wrt a?\nAnswer: -139514760*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292923 to the power of 1\/2, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 - -8 - (-25)\/5. Solve -3*m - 10 = -4*t, 2*m - m + 14 = f*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2056 by -514.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60180 and 1475?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 + 152. Let h be c\/3*2 + (-88)\/(-132). Solve -h*w + 5*l + 29 = -0*w, -4*w + 2*l + 14 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -395*u**2 - 4*u + 4605. Let o(f) = -2*f. Calculate o(t(c)).\nAnswer: 1580*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - (35 + -15)) + -17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51790 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**3 - 5*s**2 + 2*s - 3. Let o be b(5). Is o\/(-12)*-3*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -8472 (b) -10 (c) 0.31 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 855*o + 1452*o - 817*o + 1154*o + 853*o to the form m + x*o and give x.\nAnswer: 3497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15333403 (base 10) in base 9?\nAnswer: -31760424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.1011?\nAnswer: 0.2022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4213 + 4229 = 16*r. What is the closest to -0.2 in -26, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*k + 7 = 5*k, 5 = -5*x + 5*k. Suppose -287 = x*c - 1191. List the prime factors of c.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 8401685 + 1448315. Round p to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1701504000 to the nearest 1000000.\nAnswer: -1702000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -91, -199, -359, -577, -859, -1211, -1639?\nAnswer: -2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -63542.6 and -42?\nAnswer: 63500.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1912 + 1771. Suppose 3*l + 4407 = 3*p, -2*p - l = 730 - u. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0109152941 and -330989.\nAnswer: -330988.9890847059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 + 31 + 79)*(-a**2 + 0*a**2 - a**2) to z + u*a + i*a**2 and give i.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62925?\nAnswer: 3, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -419853, -419828, -419803, -419778, -419753, -419728?\n\"Answer: 25*f - 419878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:13 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 + 808665*w + 1617327.\nAnswer: 3*(w + 2)*(w + 1078218)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 261*d. Let i(t) = 13*t. Suppose 4*c - 5*j - 337 + 33 = 0, -247 = -3*c - j. Calculate c*i(l) - 4*z(l).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-10)*n))*n*(n**(3\/7)\/n*n)\/n)\/(n**19\/n**(-3\/11)) assuming n is positive.\nAnswer: n**(-2144\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z - 19. Let t be u(-7). Let b(q) = -t*q + 45 + q**2 - 14 - 14. Is b(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.39, 0.5, -1\/2, 5, 311.12 in ascending order.\nAnswer: -1\/2, 0.39, 0.5, 5, 311.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 412\/136)\/((-6)\/4 - -2)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 397 - 971 = 0. What is the remainder when p is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:28 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*v + 3*v - 3*p + 3, 836969*p = -4*v + 836964*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/8181527?\nAnswer: -2\/8181527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934568180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88, 79, 72, 73, 88, 123, 184?\n\"Answer: s**3 - 5*s**2 - s + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/2924550 and -157\/32160.\nAnswer: 46792800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 = 2*c, 5*c - 23 = -11*v + 15*v. Let h(g) = -1359 + 0*g + 1359 + c*g. Let z(p) = -59*p. Give z(h(j)).\nAnswer: -177*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m**2 - m + 4. Let v(a) = 2*a + 43. Let s be -12*3*2\/4. Let u be v(s). Let k(h) = -19*h**2 + 2*h - 7. Let p(z) = u*x(z) + 4*k(z). Determine p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2.1 (b) -1 (c) 1\/11 (d) 3\/4 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*j + 18, 0 = 2*j - 5*b + 17 - 59. Let g = -13 + 18. Sort j, g, 0, 4 in descending order.\nAnswer: g, 4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033132 rounded to four dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 174 (b) -0.3 (c) -46 (d) 10 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9776, 8997, 8218, 7439?\n\"Answer: -779*c + 10555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 20 + 9 = 0. Let n be (-2 + 19)\/((-2)\/(-6)). Suppose -w + n = 5*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -9, -5, 5, 9, -1.\nAnswer: -9, -5, -1, 5, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (22 - 6 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1924966.90000072 + 1924965.5. Let a = -1.4 - p. What is a rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 32*u**2 - 3*u + 12. Let o be s(32). Let q = 48 + o. Which is bigger: -34 or q?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**6\/120 + g**5\/20 - g**4\/6 - 7*g**3\/6 - 2*g**2. Let x be y(-3). Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 not equal to 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 4, -2.8, 0.2, 2\/15?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let q(z) = -14*z**2 - 8*z**2 - 2*z**2 + 0*z**2. Calculate q(y(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v*(v\/(v\/(v\/v**(27\/2)*v)))\/v*v)\/v*v)\/v)**(-31\/4)*(v**(15\/2)\/v)**(1\/3))**(-1\/50) assuming v is positive.\nAnswer: v**(-1819\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 569*x + 2281. What is g(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -18. Let r = 5 - w. Let z = -58 + 53. Are r and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201686479?\nAnswer: 201686479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 13, z: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/12 + -3)*-3. Let t be x - 2*(-1)\/(-2). Suppose 2*n - 2*d = -0*d + 72, t = d. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.11678 micrometers to kilometers.\nAnswer: 0.00000007211678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 177366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1131*q*s**2 - q*s - 2*q + 2*s**2 + 6868 wrt q.\nAnswer: 1131*s**2 - s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09 and -0.0131?\nAnswer: 0.0769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {d: 1, w: 7, u: 2, z: 4, p: 2, l: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-14)*28\/40*-2\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.3. Let h be 3 - -2 - (0 + (-5352)\/(-28)). Let n = -186 - h. What is the biggest value in -2\/3, x, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147936 and 368.\nAnswer: 147936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651812113 plus 0.07?\nAnswer: 1651812113.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39093 is divided by 279?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 0*x + 29\/6*x**6 - 38 + 1\/7*x**7 - 7\/3*x**3 + 0*x**4 + 0*x**5 + x**2. Find the third derivative of m(o) wrt o.\nAnswer: 120*o**3 + 1740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.176, 3, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, -0.176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(475\/(-285))*-20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/58 - -10\/29. Which is the closest to 1? (a) q (b) 0.27 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651096105?\nAnswer: 5, 19, 17379959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.496 + -14.5. What is the fourth smallest value in b, -1\/2, -18, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 3*j**2 - 3*j + 9. Let m(y) = 2*y**3 + 4*y**2 - 4*y + 10. Suppose 7 - 5 = s. Let i(q) = s*m(q) - 3*o(q). Calculate i(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - j**2 + 3*j - 6. Let a be r(2). Calculate the greatest common factor of 20 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 2*c**2 - 2*c. Let v be y(3). Suppose -9 = v*b - q - 3, 2*b + 3*q = 7. Let z = b - -6. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8779*v - 7285*v + 3931*v.\nAnswer: -12133*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 137548 = 5*z - 6*c, 5*z - 5*c = 137550. What is the tens digit of 5 + (14\/(-63) - z\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28610 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4258?\nAnswer: 2, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 483, 724, 963, 1200, 1435, 1668?\nAnswer: 1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.35, 3, 2, -4, 0.5 in descending order.\nAnswer: 3, 2, 0.5, -0.35, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**5 + 2*b**3 - 3. What is the third derivative of d(k) wrt k?\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -337442, -1349771, -3036984, -5399081?\n\"Answer: -337442*u**2 - 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -353411 + 0?\nAnswer: -353411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 3*r**2 + 2*r - 5. Let q be w(-4). Solve 0 = -6*j + 3*j - q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28583984837769 - 34\nAnswer: 28583984837735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*z - 12*z**5 - 16*z - 2*z**5 + 0*z**5 wrt z?\nAnswer: -280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 22 = 5*n. Put 3, n, -3 in decreasing order.\nAnswer: 3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181700198 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: What is the third root of 2936 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -74.\nAnswer: -74, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -3001412240?\nAnswer: 3001412312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10748189 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -1.31. Round u to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 75 = -4*p, p + 4*g - 8 = 22. Calculate the lowest common multiple of 627 and p.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/4)\/((-5)\/(5\/9)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 110399980 = 4*k, 5*k - 2*i = -3*i + 137999995. Round k to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.5 + 27. Let u = z + 0.5. Let m = -14 - u. Which is the third smallest value? (a) 4 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 s when four letters picked without replacement from {s: 4, b: 6}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/11 + 11888000*a**3\/11 + 35664018*a**2\/11 + 8*a\/11 - 47552024\/11 = 0.\nAnswer: -2, 1, 5944003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f - 4. Let z be 162\/(-39) + f + (-290)\/(-26). Suppose z*h + 4 - 125 = 0. Calculate the lowest common multiple of 33 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:40 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.27 take away 11452?\nAnswer: -11457.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d + 16. Let q be b(2). Solve q*c + 0 - 12 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 1860, 6314, 15002, 29340?\nAnswer: 50744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*n**2*o + 2420*n**2 + 353922*o with respect to n.\nAnswer: -36*n*o + 4840*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvovvvoovvv. Give prob of picking 2 v.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -41049?\nAnswer: -41049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 673510092 to the power of 1\/2, to the nearest integer?\nAnswer: 25952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 2. Let c be v(-2). Suppose c = -a + 5*h + 205, -3*a + 707 - 109 = 2*h. Suppose -5*n + a = -60. Is n a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(85) - sqrt(85))\/(sqrt(5) + sqrt(605)*-2)*-2.\nAnswer: 4*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49)\/(-14)*(6 + (-1996904)\/(-49)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/((p\/(p**11\/p*p))\/p) assuming p is positive.\nAnswer: p**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*a**2\/7 + 508*a\/7 - 16.\nAnswer: -2*(a - 28)*(9*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*j - 58*j + 800. What is the remainder when 124 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.67 * 3263.97\nAnswer: -2186.8599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*k - 4*o + 26, -40*k - 40*k + o + 368 = -19*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 - 102. What is the greatest common divisor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-25 - -11) - (3 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 107, 162, 219?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 55*l**3 + 12 - 3 - 12*l - 58*l**3. Differentiate b(h) with respect to h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 + 2 - 58*a**2 + 30*a + 106*a**2 - 48*a**2 in the form z*a + k + d*a**2 + m*a**3 and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344166300*b**3 + 62*b**2 + 344166302*b**3 - 62*b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2756 and 56166591.\nAnswer: 224666364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95615, -95354, -95093, -94832?\nAnswer: -94571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 2 - 10)*(o + 0*o + o)*(9 + 14 - 27).\nAnswer: -64*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.18, -13881, 0.1?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394589.\nAnswer: 13, 127, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 + v**2 + 3*v - 3. Let z be h(2). Let s = z - -36. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.152340604 to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 59 = 61. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 13*m - 20. Let y be (-30)\/(-45) + 52\/(-6). Let o be w(y). Let b = -8 + 12. Solve 0 = 4*g + 5*c + o, 2*g = b*c - 7 + 23 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5*(4\/8)\/(15\/(-6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*m**3*q**2 - m**3*q + 1129*m**3 - m**2 - 20*m*q**2 - 2*m*q - m - 26*q**2 wrt m?\nAnswer: -174*q**2 - 6*q + 6774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -10\/11, -11, 0.75 in ascending order.\nAnswer: -11, -10\/11, 0.75, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4 - (-18 - -17)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 20, 4, 5, 15, 0 in decreasing order.\nAnswer: 20, 15, 5, 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 5 (c) 2\/3 (d) 2 (e) -3\/7 (f) 2.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 6*a + 4. Let k be p(-12). Suppose -185 = -3*x - 4*n - k, -4*x = -5*n - 197. What is the remainder when x is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/60 + s**4\/6 - s**3 - s**2. Let g be l(-6). Let t = 45 - 43. Solve 0 = -2*n + g + t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2951.829kg?\nAnswer: 2951829000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away 39.8673955?\nAnswer: -39.8073955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.66 - 2.66. What is the closest to y in 2, -162, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -5\/3, -412.\nAnswer: -412, -5\/3, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7086, 14173, 21260, 28347, 35434, 42521?\nAnswer: 49608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 17*b = 115. Let u = b + 55. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/156*(-210)\/35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 40 + 25 = -m, 3*m + 15 = 3*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20))\/(24\/30).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/95 (b) -31 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -82*b - 298. Determine a(-5).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1747286*b**5 + 8*b**2 - 144*b - 66.\nAnswer: -104837160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (-43 + 26 + 18)) + 0 + 5\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104984087171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a + 16974 = 566. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let v(w) = 3*w - 11704972. What is v(x(r))?\nAnswer: -6*r - 11704972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83 + -78)*(-15)\/(-100).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -304 + 305. Let p be 34\/(-28) + 3\/2. Sort -2, w, p.\nAnswer: -2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2. Suppose 20*q + 52 = -48. Let z(l) = -2. Let k(v) = 3*v + 5. Let i(c) = q*z(c) - 2*k(c). Calculate i(g(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*c - 12. Are c and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 399, 422, 447, 474, 503?\n\"Answer: m**2 + 20*m + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9526.204 decades to centuries.\nAnswer: 952.6204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26\/5, -0.5, 0.1, -1, -2 in descending order.\nAnswer: 0.1, -0.5, -1, -2, -26\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16 + (-42)\/3)*-2. Let j(h) = 2*h**3 + 3*h**2 + 3*h + 3. Let r(c) = c**3 + 2*c**2 + 2*c + 2. Determine w*j(n) + 6*r(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 8 + 2 - t**2 - 8 to the form k + c*t**2 + v*t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8157 = 34*k - 37*k - 6*o, 4*o + 20 = 0. Solve n - k = -2722 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89514554 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -194 (b) 4 (c) 2 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 221566, 442942, 664318, 885694, 1107070?\n\"Answer: 221376*m + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -804\nAnswer: -7\/402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 29*b**2 - 6 - 7 + 13. Let l(i) = -i**2. Calculate u(l(x)).\nAnswer: 29*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78327.59 litres?\nAnswer: 78327590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30250)\/(-968))\/(3\/4)*9\/(-5).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*d + 930 = 296*d for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(384)*-1*4)\/(3*((sqrt(64) - sqrt(64)*-2)\/sqrt(8) + -2*sqrt(1152))).\nAnswer: -32*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g. Suppose -2*j + g = -12. Let h be 3\/9 + 7\/j. What is the nearest to 0 in 3, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z - 4553 + 2220 = 143*z + 7411 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3 + 1. Let t(j) = -86*j - 11. Let r(g) = -16*g - 2. Let i(h) = -11*r(h) + 2*t(h). Determine i(k(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 - (1 - -3 - 1 - -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**2 - 5 + 4 + 0.\nAnswer: -30*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261794520 by 43632420.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 768 (base 9) in base 14?\nAnswer: 32d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*(-7 + 21). Let k = o - 0. Let v(h) = -h - 1. Calculate v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 26*w + 46*w - 20*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-42 + 0))\/((-201)\/(-1206))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 - 6*v - 2. Let j(q) = 12*q**2 + 19*q + 7. Let o(h) = 7*b(h) + 2*j(h). Factor o(n).\nAnswer: -4*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 8, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*a = -16, 8*a = 222 - 230 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 94 times -69\nAnswer: -6486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 4192825*k - 4192824.\nAnswer: -(k + 1)*(k + 4192824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 2, h: 6, a: 1, l: 1}. Give prob of sequence ss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n + a + 3 = -65*n, 5*n + 2*a = -30. What is the closest to -1 in 1, 0, n, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5011 is divided by 500?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 836*q**3 + 236*q**2 + q.\nAnswer: 5016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-5))\/3)\/((-70)\/2275*13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {i: 2, j: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -78444746.\nAnswer: -23533423.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 400\/(-510) - ((-28)\/(-51) - 4\/6). What is the nearest to n in -5, -14, 6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-13 - 0) - (-141 + (250 - 112)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988816 is divided by 362.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*l*n**2 + 30*h*l*n + 391*h*n**2 + 15251*l*n - n**2 with respect to h.\nAnswer: 2*l*n**2 + 30*l*n + 391*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 times 1.47?\nAnswer: 0.3822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 635267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2223 and 8541?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11367, -12488, -13609?\n\"Answer: -1121*q - 10246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40421 (base 5) in base 11?\nAnswer: -1a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1353 divide 1368939534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Suppose 15 = -i*g - 5*g. Let s = 0.3 + 0.3. Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 21\/2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/3 - (-3 + 0). Suppose -5*b = -d*b + 7600000. What is b rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2660*c**6 + 249*c**2 + 389*c**6 + 647*c**6 - 2155*c**6 - 295*c**6 wrt c.\nAnswer: -488880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 + 7*o - 4. Let q = -22 - -17. Let l(f) = -5*f**2 + 11*f - 6. What is q*l(t) + 8*d(t)?\nAnswer: t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w**3 + 17605*w**2 - 30855*w + 13230 = 0.\nAnswer: -882, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6417 - -0.3583. Is 969 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-630)\/(-153) - (-4)\/(-34). Let v be 16\/t*2\/(-10). Is v at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15346.64 centuries?\nAnswer: 1534664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u - u - 10 - 19. Let b be r(8). Sort 4, b, 1 in descending order.\nAnswer: 4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from jzzvs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 - 490*k + 825. Let j be (-14)\/(3 + 66\/(-18)) - 6. Let w(o) = -o**2 + 70*o - 118. Let y(m) = j*w(m) + 2*x(m). Factor y(h).\nAnswer: -5*(h - 12)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-9)\/6 + 3). Let u be 3 + o + 12\/22. Is 1 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(-155)*(-840)\/(-364)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + (4*-2*sqrt(245) - sqrt(245)) + sqrt(245))\/sqrt(7))\/(4*sqrt(7)*-2 + sqrt(77)\/(sqrt(22)\/sqrt(2)) + sqrt(7)).\nAnswer: 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4563996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 - 48*j - 2. Let c be l(-11). Differentiate -49*t + 124*t + c - 57*t with respect to t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3560)\/(-623) + -6 + 0\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 a when three letters picked without replacement from hlhllaaahhhhhhlhhh.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 0 - (-2 + -58)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = -44. Let r(i) be the third derivative of -i**4 - i**3\/3 + 277*i**2. Is 17 a factor of r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5193653*s*z - 12*z - 20771 with respect to s.\nAnswer: -5193653*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 31\/(-10) + (-427)\/(-122). Let l be 148\/(-3)*(-2)\/8. Let n = l + -13. Which is the nearest to u? (a) 0.5 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/180 - (143\/410 + 24\/(-40))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: In base 12, what is -1b8 + 5?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17219 divided by 399?\nAnswer: -17219\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 + 481\/(-91). What is the remainder when 43 is divided by 7*4 - (9 + r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31332*w - 31118*w + 7154*w.\nAnswer: -55296*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -16*d + 20*d - 11*d. Let i(k) = 19*k**2. What is h(i(f))?\nAnswer: -133*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5190 is divided by 104?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 - -18 - 3\/(-2 + -1). Differentiate -1 + 66*r**q - 101*r**4 - 4 wrt r.\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5025372 (base 9) to base 13.\nAnswer: 72831b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72.86 + -171.72. Let c = i - -98. Let a = -0.48 - c. Round a to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47069*u**2 - 47088*u**2 + 6*u - u)*(0*u**2 + 0*u**2 - 2*u**2 + (4 + 2*u - 4)*(-2*u - 2 + 2)) - u + u + u**4.\nAnswer: 115*u**4 - 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 26596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1154*r**2 + r**3 + 1153*r**2 - 2307*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 6*y**2 - 3*y - 6. Let u = 116 + -112. Let m(s) = 11*s - 38. Calculate the remainder when j(-6) is divided by m(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -306 - 777?\nAnswer: -1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -559*m - 1488. What are the prime factors of q(-22)?\nAnswer: 2, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11532*a**3 - 47536764*a**2 - 7666995*a - 309150.\nAnswer: -3*(a + 4122)*(62*a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 - s - 2. Let f(q) = 6*q**3 - 2*q**2 - 6*q - 1. Let t(l) = 6*l**3 - 3*l**2 - 8*l + 1. Let o(z) = 3*f(z) - 2*t(z). Calculate -2*o(a) + 5*x(a).\nAnswer: 3*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 121608 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + j + 246 = -163, -5*j = 5. Suppose w = 3*i - 177. List the prime factors of i.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 34. Is -5 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -29, -3, -4 in ascending order.\nAnswer: -29, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrrzsrszsss. Give prob of picking 1 r and 2 s.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) 2 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219651466?\nAnswer: 2, 89, 1093, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 + -552560?\nAnswer: -552501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 100379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488433 is divided by 162808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 594 - 304. Let q = -289.999999607 + a. What is q rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 80, 498, 1622, 3806, 7404?\n\"Answer: 59*k**3 - k**2 + 8*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0.1. Which is the second smallest value? (a) q (b) -10 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, 7, 21, 39, 61?\n\"Answer: 2*s**2 + 4*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -98, -1\/7319, 0.4?\nAnswer: -1\/7319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -652 less than -612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -52. Put 2, t, -3, -0.4 in ascending order.\nAnswer: -3, t, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-14) + (-926)\/4. What is the common denominator of 59\/22 and 22\/(-12)*(-69)\/g?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**3\/2 + h. Let l(w) = -3*w + 2. Let o be l(0). Let u(a) = a**2 - 2*a**o - 2*a**2 - a**2. Give u(c(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q**3 + 9*q**2 - 9*q. Let h be (30\/20)\/(2\/(-12)). Let k(l) = 3*l**3 - 2*l**2 + 2*l. What is h*k(v) - 2*y(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77.61 + 77. Let i = u - -5.61. Let m = -4 + 4.4. Which is the closest to -1\/3? (a) m (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 26 = x, 5*x + 2*t - 135 + 21 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*p**4 + 24*p**3 - 1519*p - 11424468*p**5 - 3959*p + 11424470*p**5 wrt p?\nAnswer: 40*p**3 - 444*p**2 + 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)*n**(2\/5)*n*n\/((n\/n**(-2))\/n)*n*((n*n\/n**0)\/n)\/n)**(-8))**(-2\/19) assuming n is positive.\nAnswer: n**(176\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 2163\/20*n**5 + 66*n**4 - 61*n - 98\/5*n**6 - 24*n**2 + 0 - 22*n**3. What is b in d(b) = 0?\nAnswer: -2\/7, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -36. Suppose d = 4*k + 5. Suppose 2*p - 4*l = -l - 8, 3*p + l - 10 = 0. Solve -2*y = 5*x + y, x = -p*y + k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201912875 take away -10388?\nAnswer: 201923263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1*4\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*m + 478*m - 40 = 5*s, 5*m - 35 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 - -0.05. Let j = -0.24 - -0.218. Let v = j + l. Round v to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3550 by 5.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/22972059 and 61\/10441845.\nAnswer: 114860295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 275*n**3\/3 + 539*n**2\/2 + 1181. What is the second derivative of u(k) wrt k?\nAnswer: 550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(96)*2)\/sqrt(6))\/(sqrt(968) + sqrt(968)*3)*2.\nAnswer: sqrt(2)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, -4 in ascending order.\nAnswer: -21, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1350880 times -3\nAnswer: -4052640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 16600512.958208.\nAnswer: 16600518.958208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 9*u**2 + 5*u - 2. Let h be z(7). Let d(i) = -i**2 + 17*i - 31. Let t be d(16). Let r = h + t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/8 + 1641*n**3\/4 - 54249*n**2\/8 - 364791*n\/4 - 84006 = 0.\nAnswer: -8, -1, 26, 1077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*m + 2*s, 4*m - 2*s - 82 + 16 = 0. Let z be (-1 - m\/(-8)) + (-189)\/(-4). Calculate the highest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-26) - (1010\/(-26) - 2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -62*c**3 + 3*c**2 + c - 1. Let d be i(-1). Calculate the highest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*b = -m, -5*m = -4*b. Suppose 5 = 5*a, m*r + 93 = 4*r + a. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/21))\/(((u\/(u**(-20\/9)*u))\/u)\/u) assuming u is positive.\nAnswer: u**(46\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0242 in -1, -14615, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-166)\/(-34362))\/((-3)\/(-54))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 65 + -47?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/583 and 29\/10282.\nAnswer: 113102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 6. Let f(x) = -x + 3. Let a be f(-4). Let p be q(a). Let w be (-3 + -2)\/(-27*(-35)\/(-945)). Solve w*i - p = 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -113629225, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3854552 and 2?\nAnswer: 7709104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/310)\/((3*1\/21)\/(-5)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 355 + -1?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -28 + (34 - 19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 138, 443, 920, 1569, 2390?\n\"Answer: 86*f**2 + 47*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966133456 to the power of 1\/3, to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224691 divided by 1.\nAnswer: 224691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 + 0 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5433.609 millennia to decades.\nAnswer: 543360.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2. Let f(b) = 805*b - 18. Let z(p) = -107066*p + 2397. Let q(s) = -799*f(s) - 6*z(s). What is c(q(l))?\nAnswer: 638401*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -375836, -375835, -375834, -375833?\n\"Answer: s - 375837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 10 (b) 210\/13 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 40*b = -167, -1173*a + 1171*a - 5*b = -b + 30 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 20 = 20*v, -23 = -2*d - 5*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/799 and 2\/47?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -33*m + 96. Let l be r(-6). Suppose 3*c - t - 288 = 0, t - l = -10*c + 7*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*q + 3*j - 17, -20 = -4*j. Suppose 17*b - 12*b = 585. Let v = b + -42. Calculate the remainder when v is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w - 53*w + 4 = 0. Suppose -2*l = 3*k - 32, -w*k - l = k - 58. Let o be (-4 - -7)*40\/k. Solve 2*d = 4*d - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -26*p - 3. Let b(j) = -j**3 - 5*j**2 + j. Let v be b(-5). Let r be w(v). Suppose 0 = d - 1533 - r. What is d rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-10) - (-6)\/15. Suppose -3*i + m*i - 30 = 0. Let z = i - 28. Calculate the highest common divisor of z and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2300510 to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1565, 2109, 3017, 4289, 5925, 7925, 10289?\n\"Answer: 182*t**2 - 2*t + 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s**2 + 7*s**2 + 6*s + 14*s**2.\nAnswer: -9*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b7a7 - -25f?\nAnswer: -1b548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42303*z + 2*k = -42302*z + 6, 5*z + 30 = -2*k for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23f5ad (base 16) in base 13?\nAnswer: 646890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/7)*a))**(3\/2)\/(a*a**(1\/37)*a**(-13)) assuming a is positive.\nAnswer: a**(6313\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3756280365.\nAnswer: 3, 5, 27824299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 3, l: 2}. What is prob of sequence plpz?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgk when three letters picked without replacement from qgqgqkpqqgquppqp?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 18 = 0. Let x be (-24)\/45 + 2\/j. Let g = -19 - -15. Which is the second smallest value? (a) x (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + (-1 - (-2 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55, -94, -165, -274, -427, -630, -889, -1210?\n\"Answer: -a**3 - 10*a**2 - 2*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -20. Let w(t) = t**2 + 2*t + 11. Calculate the remainder when w(5) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.32 and 0.74.\nAnswer: -0.2368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Suppose p + 3 = 2*p. Let l(f) = i*f**2 + 4*f**3 - 3*f**p + 5 + 4*f**2 + 5*f. Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3830*p - 8670 + 17351 - 8681.\nAnswer: -3830*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33512141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.6195 - -2.3805. Sort -3\/8, 0.5, g, -1.2, -2\/9.\nAnswer: -1.2, -3\/8, -2\/9, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20775, -3\/8, -0.1.\nAnswer: -3\/8, -0.1, 20775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1593 - 1548 = -29*q - 3373 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1133, -2070, -2711, -3056, -3105, -2858, -2315?\n\"Answer: 148*x**2 - 1381*x + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + ((-48)\/40)\/(-3 + (-630)\/(-200)) + 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k - 3. Let z be q(3). Let y be (15\/(-9))\/(5\/z). Find the third derivative of -3*x**3 + y*x**2 + x**2 + x**2 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 9373?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23242794313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d*d)\/d**(-13)*((d*d**(-2)\/d)\/d)\/d**(2\/31) assuming d is positive.\nAnswer: d**(370\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 26. Determine h(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000071142 rounded to 7 decimal places?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*r + 7 - 0, 11 = -3*c - 2*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 2. Let i(o) = o**2 - 4*o + 9. Let a(w) = 3*w - 9. Let d(f) = -4*a(f) - 3*i(f). Suppose 0 = -37*q - 96 - 570. Give q*p(b) - 4*d(b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-205)\/(-615) + 0 + 8\/(-18).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/238 + (1200\/(-425))\/(-24))*-147?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 0*n**2 + 8*n**2 - 3*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g = -9*g - 9360. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-21) + ((-110)\/7 - 2). Let z = 28 - g. Suppose -50*h = -z*h - 284. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -147 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*h - 77*h + 72 = 0. Solve 2*m + h*m - m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 41. Let q = 151 - 154. Let f be ((-27)\/(-270))\/((-2)\/8*-2). What is the third biggest value in q, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 680*u**2 - 230*u + 1. Let h(f) = -5*f - 6. Calculate g(h(k)).\nAnswer: 17000*k**2 + 41950*k + 25861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-12\/11))**10\/(s\/(s*s\/s**(1\/11)*s*s))**(5\/9))**(-3) assuming s is positive.\nAnswer: s**(920\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2018201?\nAnswer: 193, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5967 - 5964. Which is the closest to 1? (a) -2\/15 (b) m (c) 0 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4480793\nAnswer: 3\/4480793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 28 + 14 + 12 + x**3 in the form a + b*x + o*x**3 + w*x**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 at most 976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, 1, 3, -4.\nAnswer: -22, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5860 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxjxjxjxj. Give prob of picking 2 x and 2 j.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let d(g) = 2594*g + 289*g**2 + 95*g**2 - 5180*g + 2587*g. Give d(l(n)).\nAnswer: 384*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -117 (b) -1\/3 (c) 414 (d) -90 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-4)\/14*(78\/(-33))\/26?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 11:05 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/23 (b) 0.1873 (c) 2 (d) -926\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*l + 134*l + 110*l = -1716 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + 5 + ((sqrt(119) + (sqrt(119)*1 - sqrt(119)))\/sqrt(7) - (-3 + sqrt(17)*-2)) + sqrt(612)*-2*-5)**2.\nAnswer: 378*sqrt(17) + 67486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1668*i - 1010*i - 963*i - 495*i in the form d*i + z and give d.\nAnswer: -4136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-12)\/(-5) + (67 - 69)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/39)\/(((p\/(p\/p**15))\/p)\/p))**12 assuming p is positive.\nAnswer: p**(-2020\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1728\/(-600))\/(-9)*(-5)\/(-12)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddlldddddddddddd. What is prob of sequence dd?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7703453783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78207 is divided by 3258?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/113774 (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, z: 3, f: 6}. What is prob of picking 1 q and 1 f?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -58.7. Let a = 2 + -1.9. Let n = 0.4 - -0.1. What is the third biggest value in a, p, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330395881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20323412 (base 5) to base 8\nAnswer: -506675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 43 - (-6 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11766330 + -28?\nAnswer: 11766301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16346318 and 3.4?\nAnswer: 16346321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjj when three letters picked without replacement from pjpjy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-72)*16\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + i + 2 + 3, -5*m = -4*i + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-120)\/(-25) - (-69)\/(-45))*-1.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3))**2 + -3 - sqrt(39)\/(2*sqrt(3)).\nAnswer: -sqrt(13)\/2 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1292134233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*d, 2*b - b + 4*d + 9 = 0. Let q(x) = -6*x**2 - 5*x - 2. Let k be q(b). Is -2*(k\/4)\/(6\/2692) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 40 = -4. Let a be (-1176)\/16 + 3\/x. Let f = a - -57. Is f >= -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-1 + 0 + -35717). Let m = 579285 + l. Suppose -2*p + m = p. Round p to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/5 and -49\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from ogtftge?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/2 (b) 494 (c) -1\/3 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 600758 < 600758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let d be m(0). Solve w + d*w - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(312) - sqrt(312))\/sqrt(8))\/(sqrt(27)*6) + -2.\nAnswer: -7 - sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 4*p**2 + 378*p - 83. What is the units digit of m(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -108*s + 1415. Determine w(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4\/2 + 771*r**3 + 135468*r**2 + 9738453*r + 477113685\/2 = 0. What is r?\nAnswer: -235, -113, -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -109700*y + 658217. Calculate x(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2400 by -5.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g + 22126 = -11699. List the prime factors of g.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 2:47 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*x**2 + 27*x**2 + 100*x**2)*((4*x - 2*x - x)*(4*x + x - 2*x) - 4*x**2 + 6*x**2 - x**2).\nAnswer: 308*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -0.3, 308, -1, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**5\/35 - 3*k**4\/14 + 8*k**3\/7 - 13*k**2\/7 + 9*k\/7 - 220. What is y in i(y) = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(10\/(-4)))\/1. Suppose 0 = -4*o - r, 3*o = -2*r - r - 9. What is the second smallest value in 5, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7679165ml in litres?\nAnswer: 0.0007679165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*i**4*p**2 + 68*i**4 + i**3*p**2 + 68*i**2*p**2 - 28*i*p**2 wrt i.\nAnswer: -672*i*p**2 + 1632*i + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 7:16 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 1. Let o be 2\/v*(-10)\/2. List the prime factors of 80\/44 - o\/(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**5))\/w*(w\/w**(-3\/2))\/w*((w\/(w**(-1\/4)\/w)*w)\/w)**42 assuming w is positive.\nAnswer: w**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*m - 44 = 116*m. Let t(r) = -765*r**2 - 2*r - 1. Let s be t(-3). What is the remainder when s\/(-88) + m\/(-22) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/6*(-24 - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -364663 - -2?\nAnswer: -364661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(-1)\/((-4)\/6). Suppose -2*l - 3 = c. Let y be ((-3)\/l*4)\/1. Let r(s) = -s**2 + 4*s + 1. Let w(v) = 2*v**2 - 9*v - 3. What is y*w(f) + 5*r(f)?\nAnswer: -f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 312926.1 months?\nAnswer: 2607.7175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -101, -98, -95, -92, -89, -86?\n\"Answer: 3*q - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 + 279*o + 167*o + 1 - 174*o.\nAnswer: 272*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = -28. What is the remainder when v is divided by (-14)\/(-4) + 21\/(-28)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + 2 + sqrt(245))**2.\nAnswer: 70*sqrt(5) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250222 - -12?\nAnswer: -1250210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a day in hours?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361 - -222. What is the remainder when o is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 15. Suppose 6*w + 33 = 3*w. Let o be v(w). What is the highest common divisor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/68, 9\/4, -10 in descending order.\nAnswer: 9\/4, -7\/68, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, -6280, -128.\nAnswer: -6280, -128, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-25325.\nAnswer: -2026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + 0*u + (-4 + 0 + 5)*(-2*u + u + 0*u))*(-3 + 1 + 1)*(1 + 0 + 4) + (5*u + 2*u - 5*u)*(0 - 1 - 2).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**2 - 345520*t - 345525 = 0. What is t?\nAnswer: -1, 69105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - a)*(0*a**2 + a**2 - 2*a**2) + (24 + 14 - 42)*(-4 + 4 + 2*a)*(-a + 0*a - a)*(a - 4*a + 2*a) in the form n + y*a**3 + p*a**2 + v*a and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 - 7*k - 15. Let t be q(-7). Suppose 5*d - 83 = -4*p + p, 0 = -2*p + 5*d + 97. Let v = t - p. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 104*z**2 + z**3 - 14*z**2 - 8*z.\nAnswer: z**3 - 118*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10417 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20291865, 5, -4 in decreasing order.\nAnswer: 20291865, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -773*v - b = -771*v - 505, 0 = -4*b + 28. Solve -96 = 261*i - v*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - (-4)\/((-16)\/(-12476)).\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -468 - -467.8622. Round q to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -711 + 348. Let m = -361.512 - l. Let y = m - 1.47. Round y to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine fifths of a hour?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 3*d**4 + 18*d**3.\nAnswer: -3*d**3*(d - 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6720.965 micrometers?\nAnswer: 6720965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 10. Let b = 34 + -33. Which is smaller: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*o + 18. Let s be ((-6)\/(-4))\/(o\/14). List the prime factors of s - (-19 + 0\/1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/168*(-3 + 114\/95) + (1 - 5).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1775*h. Let d(q) = -2004395*q + 2004395*q + 2*q**2. Give d(t(u)).\nAnswer: 6301250*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 158400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -6.8159 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.535829 to one decimal place.\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146188)\/7945*(-40)\/46?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 = -5*b - 7, -3*k + 9 = 2*b. Let m(q) = q + 8. Let l be m(b). Let u(c) = c**2 - 8*c + 11. List the prime factors of u(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -h + 5*h - 24, 2*h - 2 = -4*i. Suppose h*t - 9 = 31. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -692 divided by 9\nAnswer: -692\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/(-5) + (-6)\/(-30). Let h be u\/2*(-12)\/(-48). Solve -h + 3 = x + 5*w, -3*w = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/3 - 33964*q**3 - 418292862*q**2 + 363999592152*q - 76572507773016 = 0 for q.\nAnswer: -25887, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4078 - 4040 + 3*q + q**2 - 40*q**3 + 8117 to the form j*q**3 + o*q**2 + z*q + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -21, -94, -209, -372?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 219571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 663, 1375, 2149, 2997, 3931, 4963?\n\"Answer: 2*q**3 + 19*q**2 + 641*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 3*c - 71. What is the remainder when u(9) is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/sqrt(5))\/sqrt(6) + (sqrt(90) - 1*sqrt(90)))\/(4*3*sqrt(72)).\nAnswer: sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*p + 4*w = -64*p - 765783, 0 = -p + 2*w + 153159. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175 - 173.4. Which is the fourth biggest value? (a) 2\/7 (b) -1\/8 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 9:32 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 17 + 22 - 3*j - 99.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**2 + 1176*p - 10375. Calculate r(226).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(9\/4))\/i**(-5\/4) assuming i is positive.\nAnswer: i**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.3, 1\/7, -4, -69?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29827336.99999992 - 29827345. Let q = u + 8. What is q rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 360 - 225. Suppose v = 4*v - g. Let h = v - 35. What is the lowest common multiple of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 3 + (-4 - 4 + 6)*(-3 + 1 + 0) + 1 - 4 + 2 - 5 + 3 + 1)*(27 + 12*z**3 - 27) - 6*z**3 - 16*z**3 - z**3.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1*6*2*-2 - (sqrt(72)*-1 + 3)*-4)**2.\nAnswer: -1152*sqrt(2) + 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-9))\/(1\/(-6)). Suppose -m*n + 4 = -0*n. Let x be ((-15)\/9)\/((-14)\/42*1). Solve z + x = -5*l, -2*z + 2 = n*l - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 3*y + 9. Let m be t(-6). Let r be (2\/(-6))\/((-3)\/m). Suppose f = 2*f - r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3712454614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2616 - 2619. Which is the closest to 1\/4? (a) 1.6 (b) 5 (c) f (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179289220 a multiple of 4584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.39 - 3.61. Let r(u) = u**3 + u**2 - 4*u + 1. Let w be r(-3). Which is the biggest value? (a) 0.2 (b) w (c) v (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4183*h - 50100. Let q be d(12). Suppose 0 = -2*t - 3*t + 30. What is the highest common divisor of t and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20448100 and 1360.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + 44*k - 4. Let x be y(22). Is 20\/x + (3394 - 12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 + 1481*m**2 - 210540.\nAnswer: 3*m**2 + 2962*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 12*r**2 + 12*r - 63. Let n be i(6). Calculate the highest common factor of 1050 and n.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2860683 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 140 = -2*y. Suppose 22 = y*t - 19*t. What is the remainder when 1076 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244988 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**6 + 847312*w**3 + 5537614*w**2 wrt w.\nAnswer: -120*w**3 + 5083872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b13 (base 12) to base 14.\nAnswer: 12d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2313 - -11?\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1642*w**2 - 10393*w + 60 + 10387*w - 60 to the form n + o*w**2 + g*w and give o.\nAnswer: -1642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 2)*(d**2 + 3 - 3) + 2*d**2 + 0*d**2 - d**2 + 5*d**2 - 8*d**2 + d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 7:33 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + i = 5*v - 2, 2*v - 12 = -2*i. Suppose v*b + 3*b - 10 = 0. Let h(t) = -b*t**2 - 4*t + 4*t + 2*t**3 - 2. Determine h(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 5*s**2 - s. Let l be y(5). Let q = 3.118 + -0.118. Let x be (1 - 22\/6)\/2. Which is the third biggest value? (a) q (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -8, -1\/3, -24\/17, -2 in decreasing order.\nAnswer: -1\/3, -0.5, -24\/17, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5871 + 6 + (-1)\/1. Let d = 21765 - 11299. Let h = d + j. Round h to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 4)*(3 - 3 + 2*i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 3*s. Sort 5, s, -5 in decreasing order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4951 + 36303. Suppose -o = -33*i + 32*i. Let k = 94195\/12 - i. What is the common denominator of k and -25\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*s**5 - 6\/5*s**2 + 6\/5*s**3 - 9\/5*s + 9\/5*s**4 - 3\/5.\nAnswer: 3*(s - 1)*(s + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 3*f. Let i be o(2). Let l(v) = -v - 2 + 0 + 3*v**2 - 3*v**3 - 5*v**2. Let d(y) = -4*y**3 - 3*y**2 - 2*y - 3. Calculate i*d(n) - 3*l(n).\nAnswer: n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*h - 19, -y = -2 - 1. Sort 2, h, -5 in decreasing order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 178*u + 1072. Give f(-6).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**5 - 2*m**5 - 3*m**5)*(3 - 2 - 2) + 3*m - 7*m**5 + 7*m**5 + 2*m**5 + 2*m**5 - 2*m**5 - 2*m**5.\nAnswer: m**5 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.214 + 130.214. Let s = -128.49 + j. What is s rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/6)\/((-150)\/225).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 68 = 0. Let s(l) = 0*l - 2 + 23*l**3 + w*l**3 + 3 + l**2 - l. Is s(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -30*y**2. Let a(m) = -84*m**2 + 1. Give a(x(w)).\nAnswer: -75600*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 102 = k - 0*j, 0 = -5*k - j + 477. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g + 5*d = 11, 0 = 4*g - d - 11. Let p be (-4)\/26 + 160\/26. Let b be ((-14)\/(-14))\/(2\/p). Solve 2 = 2*i - b*o - g, o = -3*i - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 44289024*n - 490379411718144.\nAnswer: -(n + 22144512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5233878 by -3.\nAnswer: -1744626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*g**4\/5 - 3704*g**3\/5 - 190138*g**2\/5 + 42436*g\/5.\nAnswer: -2*g*(g + 103)**2*(9*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 13*h = 8. Suppose 0 = 2*z + a - 147, -z - a = h*z - 223. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3254131 rounded to the nearest 10000?\nAnswer: -3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 444 + -248. Let c = 63 + -35. What is the greatest common factor of c and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j + 0*j + 101563*j**2 + 0*j. Let s be x(-8). What is s rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b**2 - b**2 - b**2 + (-5 - 1 + 4)*(b**2 + 2*b**2 - b**2))*(112*b**2 + 241 - 241) to u*b + n + a*b**3 + j*b**2 + k*b**4 and give k.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**2\/5 + 248*y\/5 - 1344\/5 = 0?\nAnswer: 6, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 83. Let l be 2\/(-3)*3 + 7. Sort l, q, 0.5 in decreasing order.\nAnswer: l, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -0.03, -60123, -0.5, -2\/7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = 5*r, -5*r - 2*h + 13 = -0*h. Suppose -5*c = w - 56 - 48, 4*w - 416 = r*c. Calculate the remainder when w is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 385 + 3013*q - 385 + 699*q as x*q + a and give x.\nAnswer: 3712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, 2\/5, -4, -12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1141, -55, 28, -1 in ascending order.\nAnswer: -1141, -55, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 5604123?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**3\/3 - 5*z**2\/2 + 3*z + 2. Let c be a(-5). Suppose d + 116 = c*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -477, 4, 2, 3736, -1, -4 in ascending order.\nAnswer: -477, -4, -1, 2, 4, 3736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363 and 2112.\nAnswer: 23232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700 and 200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 2. Let z be c(2). Let i(h) be the first derivative of 2 + 0*h**2 - 1\/2*h**4 - 1\/3*h**3 + z*h. Find the third derivative of i(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48243 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-99)\/(-24) - 4 - 71\/(-8). Let k be (8\/v)\/((-14)\/(-63)). Solve -2*m = 3*j + k, 0 = -3*m - 2*j - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22326472 is divided by 282.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 6335.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 111, 146, 181, 216, 251?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2601876 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 minus -4734208?\nAnswer: 4734208.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = y + 19*y. Solve 2*m + y*q - 3 = 11, 9 = -m + 2*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = y + 12. Let p(m) = m**3 - 2*m**2 + 9*m - 11. Let h be p(2). Let f = h + y. What is the highest common divisor of 80 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -524*b**2 + 308*b.\nAnswer: -1048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 140*m**2 + 735*m.\nAnswer: 5*m*(m - 21)*(m - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217366 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 4*b**2 - b - 2. Determine g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178 and 599237.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*(d*d*d\/(d**(-3)\/d)*d*d)\/d)**(-3\/7)\/(d**2\/d)**(3\/31))**(-1\/4))**(19\/4) assuming d is positive.\nAnswer: d**(18069\/3472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24.7 and -1635.442.\nAnswer: -1610.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7486053, 7486054, 7486055, 7486056, 7486057?\nAnswer: 7486058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -404\/7 + 58. Which is the second smallest value? (a) -3 (b) 6 (c) t (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let s(f) be the second derivative of -f**6\/90 - 5*f**3\/6 + 4*f. Let q(k) be the second derivative of s(k). Calculate u(q(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b - b**3 + 0*b**3 - 2*b**3 + 0*b**3 + (-3*b - 8 + 8)*(2*b**2 - 2*b**2 - 2*b**2) + 56*b**3 + 4 - 4 + (1 - 5 + 2)*(-2*b**3 - b**2 + b**2).\nAnswer: 63*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3 - 322*w**2 + 12464*w + 40344 = 0.\nAnswer: -3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let c(i) = 1808*i**2. Determine u(c(r)).\nAnswer: 6537728*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:23 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7722750 divided by -125\nAnswer: -61782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -25*g + 254 - 61 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2445771.53 rounded to the nearest 10000?\nAnswer: -2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 52*n + 471. Determine j(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + 184. What are the prime factors of f?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 1 - 3*j - 132790*j**2 + 132790*j**2 + j**3. Determine i(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*h + 163*h - 99*h.\nAnswer: 246*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 2*i - 2, 3*k + 4*i - 32 = 0. Suppose k*g = 2*g + 26. Let r = g - 2. Calculate the least common multiple of r and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189.2 + -189.3. Which is the third biggest value? (a) 1.1 (b) 1.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 85. Does 26 divide (3 - o\/1) + 105 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*f + 13 = 3*g, -3*f = 3*g + 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*f + 0*f = -3, -3*o + 9 = -f. Let q(u) = o*u**2 + u**2 - u**3 - u - 6 + 10*u + u**2. What is the units digit of q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w**3 + 5 + 6*w - 5*w**2 - 6 + 3. Let m be l(-5). Let d(t) = -4*t - 3. Let p(j) = 11*j + 10. Let i(s) = -8*d(s) - 3*p(s). Determine i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9500976329.9999759 - 9500976927. Let v = h + 597. What is v rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 0*f**2 + 2*f**2 + 0 - 2*f**2 + 4*f**2 + 4*f**2 + (-2*f + 0 + 0)*(-f + 2*f - 3*f) - 10 + 6*f**2 + 10.\nAnswer: 18*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*c - 36, 0 = -4*g + c + 3*c + 48. Let u = 281 + -277. What is the highest common divisor of u and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -2\/11 (c) 1.79 (d) 11 (e) -90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 7*n - 1. Let s be h(-3). Let c(z) = -4*z + s + z + 4*z - 2*z. Let j be c(8). Solve -6 = j*i - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.3590288 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541968.\nAnswer: 2, 3, 7, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-80)\/50*(-10)\/4. Let n(r) = -r**3 + 10*r**2 - 24*r - 5. Let l be n(5). Suppose i*u = 2*k + 84, -5*u + l*k - 2*k + 105 = 0. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q + 6*q + 20*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 + -207. Let p = z + 237. Let s = p + -169.99901. What is s rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160.9 - -170. Let q = 1 + m. Let d = 10 - q. What is the nearest to d in 5, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5 - 13*j**4 - 48*j**3 - 4*j**2 + 64*j = 0. What is j?\nAnswer: -2, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 10277.\nAnswer: -5138.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a. Give f(-7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = -44*j + 24. Let a be (-1 - 0)*(-131 + -1). Calculate the highest common divisor of a and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 302 = 493. Let c = -82 + 184. What is the remainder when c is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30473 is divided by 256.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39626791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.5 (b) 2336 (c) -5\/16 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 12 - 16*n**2 as o*n**2 + h*n + u and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 65528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95657, -382168, -859685, -1528208, -2387737, -3438272?\n\"Answer: -95503*g**2 - 2*g - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102.587131*5.\nAnswer: 512.935655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -369 - -372. Let p be ((-7)\/7)\/((-2)\/10). Suppose x - 48 = -p*h, -148 = -5*x + h - m*h. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 0.0843?\nAnswer: 0.2157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1714536 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.24296 + 439.65704. What is c rounded to the nearest 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7500, 7408, 7316, 7224?\nAnswer: 7132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1401 divided by 2\nAnswer: -1401\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -20357*a**2 + 5*a - 98. Let z be q(14). Round z to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**9\/1512 + r**6\/120 - 5*r**3\/3 - 2. Let p(i) be the third derivative of h(i). Find the third derivative of p(o) wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b + 32 = 0. Let a(q) = 2*q**2 - b - 5*q - 3*q - 3*q**2. Let h be a(-7). Is 0 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, 2, 26\/23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2. Let g(m) = -44*m + 4. Let q(s) = -47*s + 6. Let d(b) = 3*g(b) - 2*q(b). Calculate d(n(i)).\nAnswer: 38*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 6*d - 7*d + 7, -4*d + 14 = -2*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/25 + 46\/10. What is the nearest to -1 in c, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8692 and 32?\nAnswer: 278144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -376.941 and -0.0926480164.\nAnswer: -377.0336480164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 3*v**4 - 3*v**4 + (2*v**2 + v**2 + 3*v**2)*(299*v**2 - 112*v**2 - 135*v**2).\nAnswer: 309*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 16121*c**2. Let q(d) = 111*d. What is q(h(i))?\nAnswer: 1789431*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.58, -5, 1.2, -2\/7, -3\/8 in increasing order.\nAnswer: -5, -0.58, -3\/8, -2\/7, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 2. Let r be l(3). Suppose -r*q + 8*q = 6. Solve 5*c + q*k = 29, -2*k - 1 = c - 5*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807 a factor of 1838103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(1687\/14460 - (-2)\/(-12))*42?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19890000 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 14\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108635 + 148325 = 441*r for r.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 a factor of 427040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g + 18. Let s = -1 - g. Suppose r = v + 2, -r + v - 3 = -s*r. Put 5, -1, r in descending order.\nAnswer: 5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 18*o - 190 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)\/p)\/((p*p*p*p**(4\/3)*p)\/p*p)*p*p\/(p\/(p*p**(1\/9))*p)*p**(-5)*((p**(1\/2)*p)\/p*p)**(3\/7)*(p*p*p*p*p\/p**0)**12 assuming p is positive.\nAnswer: p**(6317\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u - 8. What is the tens digit of n(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1, -4, -3, -0.3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 5130297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzzzzzz. Give prob of picking 2 z.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210020322 + -3?\nAnswer: -210020331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 116800.\nAnswer: 116800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000043773 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 993 = 998 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 812823 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 6*m. Suppose -3*z + t + 466 = m, z + 3*z - 5*t - 625 = 0. List the prime factors of z.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 11. Let v be s(0). Suppose -v = 5*w - 66. What is the smallest common multiple of 7 and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -68493, 16 in increasing order.\nAnswer: -68493, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 547337 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3)\/(-12)*12\/(-138)*4?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-240)*23 + 383\/5745. What is the biggest value in 0.3, j, -6, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44181.220421 minus 6449?\nAnswer: -50630.220421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 1025598?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 92324*v**2\/9 + 10258*v.\nAnswer: 2*v*(v + 1)*(v + 46161)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2. Let z(i) be the first derivative of -37*i**2\/2 + 35. Determine m(z(t)).\nAnswer: -2738*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/78)\/(2\/(-12)*(15 - 17)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20480 = 60*r - 40*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 619*g + 5 + 1280*g + 1470*g.\nAnswer: 2131*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-352)\/99)\/16?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*l + 6, 31*w + 4 = 4*l + 33*w. Let g(m) be the second derivative of -1\/12*m**4 + 0*m**2 + 1\/2*m**3 + 4*m + l. What is g(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 56 = -8. Suppose -3*f + 0 + v = 0. Calculate the remainder when f is divided by (10\/(-4))\/(-5 + (-72)\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0 - (8 - (-9 + 9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6054 to 2 decimal places.\nAnswer: -2.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose 18 = -2*i + o*t, -2*i = 3*i - 3*t + 39. Let d(w) = w**2 + 7*w + 1. Give d(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h + 1059842 - 4819862 = 0. Is h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41592 is divided by 3781.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286.0621g to milligrams.\nAnswer: 286062.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -17*y + 10. Let z(u) = 5*u - 3. Let c(l) = 2*m(l) + 7*z(l). Let n = 6 - 4. What is c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 10:32 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 74 (b) 0.1915 (c) 0.2 (d) 2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + 102*c**2 - 3*c**3 - 103*c**2 + 10*c**5 + 3*c**3 wrt c.\nAnswer: 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 1 - 5 = -0 - 2, -5*q - 6*b + b = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*f**2 - 4315*f + 4315*f + (3 + 3 - 4)*(6*f**2 + 0*f**2 - f**2) to the form u + p*f + l*f**2 and give l.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from jjooo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = q - 115, 5*f = -2*q - q + 345. Suppose -5*g - q = 140. Let v = -28 - g. Calculate the highest common factor of v and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 18. Suppose -r = o - 2*o. Let f = 26 + 0. What is the remainder when f is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (-4 - (5 - 16) - -9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4 - g**2\/2 + 25. Let t be w(-2). What is the first derivative of 44*z - 32*z - 18 - t*z wrt z?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 3*f**2 + 0*f**2)*(-1 - 4 + 2)*(3 - 5 + 0).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -3*k + 224. Let c be 25\/5 + -1 + 8. Let q = 2 + c. What is the remainder when k is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -n + 62, 3*n - 5*b - 97 - 9 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 44. Which is the nearest to -1\/5? (a) 0.5 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 180895*c**3 - 3619400*c**2 + 18099500*c.\nAnswer: 5*c*(c - 10)**2*(c + 36199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**3\/7 + 74*r**2\/7 + 156*r\/7 = 0.\nAnswer: -2, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 2\/1)*(-3)\/(-12). Let z be (-2)\/(-1) - (-11 - -4). Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(4 - 2 - 3)*(-3*g + 4*g - 3*g)*(g - 1 + 1 + (-41*g + 0*g + 0*g)*(3 - 3 + 2)).\nAnswer: -162*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 + 207 = 7*f. Suppose 9392 = f*m + 1423. List the prime factors of m.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, n: 5}. What is prob of picking 1 n and 1 t?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.153 - -0.073. Let r = a + 0.08. What is the closest to -11 in r, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-8)\/(-6)) + 0. Let g be 3 + 2 + 0 + -2. What is the second derivative of g - 2 - 1 - 3*d + r*d**3 wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4852808363?\nAnswer: 13, 5861, 63691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 2. Let m(w) = -4*w + 9. Let p(y) = -4*m(y) + 18*s(y). Let l(b) = 4*b - 3*b**2 + b**2 - 4*b. What is l(p(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:53 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*w - 5. Is w <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (-33 + (21 - -15))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 17*u**2 - 2*u**3 + 37*u**2 - 12*u**2 - 10*u**2 in the form g + i*u**2 + w*u + t*u**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-2)\/(22\/(-1)))\/(18\/66).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29411.\nAnswer: 29411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14614828 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2734 and 75\/4226764.\nAnswer: 4226764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 8. Let k be u(-7). Solve -3*q = -3*p + 12, 0 = -4*q + k - 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05055883 to 4 decimal places.\nAnswer: -0.0506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-10))\/(-3))\/(376\/(-2350))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360954581?\nAnswer: 13, 2377, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((-4)\/((-16)\/6)). Suppose 0 = -4*t - 0*t + 4. Let u be 72\/32 - t\/c. Solve -4*s - 10 = -u*g + 4, -5*s - 1 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 1:40 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**4*z)\/((z\/z**(-3\/11))\/z))\/((z*z**4)\/z)**(-24) assuming z is positive.\nAnswer: z**(1119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -62, -86916?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**3 + 22*p**2 - 8*p**3 - 22*p**2 - 10*p**3.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 79849.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2537688 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-9 + 2) - (0 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) 2.5 (c) 1\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -70 (b) 4 (c) -14 (d) 5\/3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73\/2 + -129\/4. Let w = -367\/48 + 29\/16. Calculate the common denominator of w and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*t - 5*b + 16, -t - 2*b = 1 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527894060.\nAnswer: 2, 3, 5, 7, 11, 43, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/1)\/(74\/(-37)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 10999599962077?\nAnswer: -10999599962076.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 1. Let u be (-950)\/665 - (-1 - (-12)\/21). Let h(y) = -573*y + 4 + 588*y - 13. Calculate u*h(g) + 9*x(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 40*n**2 - 4*n + 177. Is r(-40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2237*o + 2. Let b be r(9). Let m = b + 12031. Round m to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 5*p**2 - 4. Let m be l(5). Let q = -27 - m. Let b = -10 - q. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 146194831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281505677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + (sqrt(121) - sqrt(121)*4) + sqrt(121))*-3)\/sqrt(11) - (-2*(sqrt(22) + (sqrt(66)\/sqrt(3) - sqrt(22))))\/sqrt(2))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k + 90. Let l be y(-6). Suppose 4*n = -o + 234, 5*o + 4*n + 274 = l*o. What are the prime factors of o?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170802 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.32 times -1\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1676 by -45.\nAnswer: 1676\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 42483 - 373.9030677\nAnswer: 42109.0969323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 3:20 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*d**4 - 4*d**3 + 4*d**3 - 4*d**2 - 21*d**4 + 7*d to k*d**3 + h + w*d**4 + r*d**2 + v*d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/30 - 1058*a**2. Let y(z) = 6*z - 7. Determine h(y(t)).\nAnswer: 72*t**2 - 168*t + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 (base 14) in base 10?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49770 and 937730?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11251674 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -557.6 + 2627. What is a rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/27*3\/48)\/((-6)\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609061841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/5 + 21*l**4 - 1288*l**3\/5 - 1244*l**2\/5 + 16992*l\/5 - 20416\/5 = 0?\nAnswer: -116, -4, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 166533?\nAnswer: 333066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(20)\/(sqrt(20)\/sqrt(2)))**2*-4*3.\nAnswer: -288*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 13 = -5*v - 2, 5*v + 23 = -s. Suppose -42 = -2*g + s*f - 6*f, 2*g - 24 = 5*f. Let y = g + -14. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 8:20 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -763.\nAnswer: 3\/763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**6\/120 + y**5\/12 + y**4\/4 - 3*y**3\/2 - 6*y**2. Is q(5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.39 - -15. What is v rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 282\/11, -2030, 1\/7, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*f = 253*f - 3645. What is the highest common factor of f and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**4 + 20*z**3 - 258*z**2 - 4 wrt z.\nAnswer: 72*z + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -195737733.\nAnswer: -7\/195737733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310 is divided by 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 1455*c**2 - 67535*c - 79. Give s(48).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d**3 - 25*d**2 + 25*d - 19. Let o(k) = 3*k**3 - 5*k**2 + 5*k - 4. Let z(q) = 11*o(q) - 2*u(q). Let j be z(4). Is (91 + 2 + j)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + k + 11 + (0 + 0 - k)*(0 - 3 + 1).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15*(2 + -3 + (-4)\/(-6)). Let o be (-1 - -2)\/(5 + -6)*m. Which is the closest to -1? (a) -0.06 (b) o (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3583539 to the power of 1\/2, to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31403*i**2 + 2872 wrt i?\nAnswer: 62806*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/12*1*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = x, 3*z - 6 = x + 2*z. Let s = 0.0104 + 0.1896. Which is the fourth biggest value? (a) s (b) x (c) 2\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/17 + 3289\/221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -229*i**2\/4 - 2875*i - 625.\nAnswer: -(i + 50)*(229*i + 50)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -222013 (base 4) to base 9\nAnswer: -3624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 352.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2376+138.19669\nAnswer: 138.43429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -1\/9, -0.1, -11, 686.\nAnswer: -11, -2, -1, -1\/9, -0.1, 686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.3 + -27. Let o(m) = -m**2 - 3*m. Let l be o(-2). Which is the smallest value? (a) q (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -5, -3, 8.05, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (15 + -3 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39360.7 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 115\/7. Suppose -2*d - 16 = -3*u, 2*u - 8 = 2*d + 6. Suppose -j + 2*m = 2*j + 7, 0 = -5*j + u*m - 5. What is the third biggest value in 0.3, j, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -67\nAnswer: -14\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-6)*216\/288?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q - 1. Let i be y(-1). Let a(g) = 0 - 5 - g + 0*g + i. Give a(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 + -368. Let w = 220 - f. Let r = -424.86 + w. Round r to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*g = 72, -5*o = -3*o - 5*g - 36. Calculate the remainder when o is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 8, -18 in descending order.\nAnswer: 8, -18, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/4 (b) -4 (c) -813\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l - 39 = 0. Solve 3*b + 4*h - 24 = 0, 2*b = b - 3*h + l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6089576 and 1602520?\nAnswer: 30447880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -3\/25 (c) 40.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-10) - ((-30)\/(-5) + -3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 3. Let w be ((-6)\/(-5))\/(6\/(-20)). Let a = -4 - w. Sort -5, a, j in descending order.\nAnswer: j, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3233 and 976.\nAnswer: 51728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*4)\/(sqrt(100)\/(sqrt(30)\/sqrt(3)))*-5 + (-5 + (sqrt(13)*-1)**2 + (0 + sqrt(52))**2 - (2 + -1 + sqrt(1053) + sqrt(1053))).\nAnswer: -58*sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 7) in base 8?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + sqrt(160) + (2*(sqrt(160) - 1*sqrt(160)) - sqrt(160)) + sqrt(160))\/(sqrt(72)*-2))\/((sqrt(640)*3*-6 + sqrt(640))*5).\nAnswer: sqrt(2)\/2040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*n + 15339 - 15339.\nAnswer: -47*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -24 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 h, and 2 a when four letters picked without replacement from {h: 4, a: 4, w: 3, f: 8}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 537*u**4 - 1373*u?\nAnswer: 6444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-4*f - 17*f - 6*f) - 3*f + 3*f - 2*f + 2 + 3 - 3 + 2*f.\nAnswer: 27*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10202020102 (base 3) in base 13?\nAnswer: -27791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -624579746*n**2 - 610500649.\nAnswer: -1249159492*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (8\/(-10))\/((-10)\/25). Let y(n) = -n**2 + 6*n - 4. Let v be y(4). Suppose -5*a + 30 = v*i, 2*i = -2*a + 3*a + l. Solve h + 4 = a*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1077 + 1916 - 839 + 930*k. Let o(r) = -3*r. Give s(o(p)).\nAnswer: -2790*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i - 27. Let o be s(-6). Let j be ((-6)\/45)\/((40\/o)\/4). Which is the closest to -2\/3? (a) 0.5 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h - b - 7, h + b + 3 = 0. Suppose -q = 31 - 33. Let k be 13*2\/3*(-3)\/q. Sort 3, 0, h, k in descending order.\nAnswer: 3, 0, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - 11000001010111101101111?\nAnswer: -11000001010111110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4 + 183492*k**3 + 3742501680*k**2 + 25483871006400*k + 609459758784000 = 0.\nAnswer: -20380, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/3*(-26)\/(-260))\/((-2)\/(-5)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -602467 >= -601966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6929019 rounded to 2 dps?\nAnswer: -7.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3833 + 3833.2. Put -35, -0.5, 2, u in increasing order.\nAnswer: -35, -0.5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56558*a**3 - 115460*a**3 + 56686*a**3.\nAnswer: -2216*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*sqrt(1260)*-1)\/((sqrt(42)*1)\/sqrt(6) + sqrt(7) + sqrt(56)\/(sqrt(80)\/sqrt(10))).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -38, -5, 21766 in ascending order.\nAnswer: -38, -5, 3, 21766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 <= -3.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b03 (base 12) to base 15.\nAnswer: -1763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 798 and 7096614.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4318 divided by -4\nAnswer: 2159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-5))\/(4\/20). Suppose 7619988 = d*w - p + 4*p, 0 = 2*w - 4*p - 5080016. Round w to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**2 - 5*g - 9. Let u(b) = b**2 + b + 1. Let y(i) = -a(i) - 6*u(i). Let z(l) be the first derivative of y(l). Differentiate z(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2003*k - 25407 - 4967 + 49765 = -102792 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24303 by -3.\nAnswer: 8101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-34)\/(-1) + 2. Suppose 22 = -2*z + t, 76 - 20 = -4*z - t. Let g = z + s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 20.113?\nAnswer: 22.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 112252177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265689 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/858 and 23\/371327.\nAnswer: 28963506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/24 and 65\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -4, -0.05, -4\/19?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/536337821?\nAnswer: -2\/536337821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -6 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10258488 is divided by 3602.\nAnswer: 3594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllaa. What is prob of sequence la?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 30*h. Let a(m) = -15*m. Suppose 48*n - 49*n + 25 = 4*s, -4*n = 5*s - 23. Give s*a(v) + 3*u(v).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54957225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3474667 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 k, and 1 n when four letters picked without replacement from kksnsskk.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -12*u + 0 + 11\/30*u**6 + 0*u**5 - 31\/2*u**2 + 0*u**3 + 0*u**4. What is the first derivative of i(t) wrt t?\nAnswer: 44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1 minus -0.0751959173113?\nAnswer: 6.1751959173113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4*5\/(-310) + (-8136948)\/(-1054)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -11, -4, 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w - 3*t + 1 = 0, -3*w + 3*t = -9. Let u = w - 0. Calculate the smallest common multiple of 4 and 3\/u*8\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -46. Let o be (-5 - v)*(105\/(-6))\/7. Let a = o - -85. Solve k + 2*k + 2*y = a, 1 = -4*k - 3*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (150\/4)\/(543\/(-2172)). Put o, 4, 1 in increasing order.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 + 0 - 44*a + 7.\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 59, 68, 81?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -18*k + 74. Let x(g) = -g**3 + 9*g**2 - 12*g + 36. Let a be x(8). Let d be u(a). What is p in -3\/4*p**3 + 0*p**d + 0 + 0*p - 3\/8*p**4 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 1 - 1)*(58 - 27 + 27 + 82).\nAnswer: 280*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = -5*a - 4*w, 3*w - 47 = 4*a. Let s be 53996\/(-10) + a\/20. Round s to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40\/7 in -5, -1\/8, 87?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) - (-1*(1 + sqrt(475))**2 + sqrt(475)).\nAnswer: 10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -6, -5, 5.\nAnswer: -6, -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -269 - -514. Is 49 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - 2.85. What is the second biggest value in -12, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4382, -201 in decreasing order.\nAnswer: -3, -201, -4382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119484 and 1908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*l = -70, l = 2*l - 2. Let b(q) = q**3 - 15*q**2 + 24*q - 8. Let v be b(13). Let u = -8 - v. What is the remainder when r is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (263\/22 - 3) + 396\/(-22) + 9.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnd when three letters picked without replacement from dndnnndddnnd.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*a + 650*a + 368*a + 946*a to the form m*a + h and give m.\nAnswer: 1904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.363632526 to three dps.\nAnswer: -0.364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20720 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(-24544)*-72*39\/18\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*r - 5*m, r + 10*m = 12*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.13, 4, -1.8, -196, -3, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -651911055 * -1.\nAnswer: 651911055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 4*c**2 - 4. Let q = 17 + -18. Let a(p) = p**2 - 1. What is q*g(j) + 4*a(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 6*n - 5. Let u(d) = d**2 - 7*d - 5. Let k(i) = 5*r(i) - 4*u(i). Let v be k(4). Factor -2*x**4 - 5*x**2 - 2*x**5 + 2*x**v + 4*x**2 + 3*x**2.\nAnswer: -2*x**2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104887\/20 + 10495\/2. Find the common denominator of t and -97\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 14*q - 216. Calculate the remainder when 74 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42\/24)\/(2\/4)*14. Suppose 2*m + 5*y - t = 0, 5*m - 3*y - y - 40 = 0. What is the least common multiple of m and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 8. Let q be z(0). Let x(d) = -d**3 + 8*d**2 + d + 6. Let i be x(q). Calculate the greatest common factor of i and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 384 + -385. Let t(o) = -33*o**3 - 2*o - 1. What is t(v)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/3 - 209114*r**3\/3 - 13781922*r**2 - 681881706*r = 0. What is r?\nAnswer: -104359, -99, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + 13*v**2 - 2005*v\/6 - 22919.\nAnswer: (v - 43)*(v + 39)*(v + 82)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y**3 + y**2 - y**2 + 54*y**3 - 106*y**3.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4215? (a) -0.7 (b) 1\/10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z = -3*y - 84*z - 17, 3*y + 4*z + 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -57. Suppose r + 5 = -4*r + d, -5*d = 3*r + f. Let y = 0 + 1. Is r != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4036182.979 to the nearest one hundred.\nAnswer: 4036200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*f + 2324 = -352*f + 1249*f - 2308 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12556 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 11*o + 18. Determine x(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3 (c) 4 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 10. Suppose -8 = n*v - 5*v - 5*i, 4*v - 4*i = 32. Let o(r) = -2*r**2. Let u(w) = w**2. Determine v*o(j) + 10*u(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 23. Let g be b(-17). Suppose n = g*n + 65. Let c(y) = -4*y - 26. Let z be c(n). What is the greatest common factor of 104 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-12)*18\/44?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 28*x + 1254 = -15*x. Solve x*j + 9*j = -188 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 957 divided by -12393.\nAnswer: -319\/4131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 658 = 6*o. Let n = -61 - o. What is n rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/14)\/d)\/d*d**(-2\/21))\/((d\/(d**(7\/6)*d))\/(d**(1\/17)\/d)) assuming d is positive.\nAnswer: d**(-248\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 33 - 33)*(-2*o + 2*o + 2*o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1425 + -14349\/10. Find the common denominator of n and (-50)\/40 + (-194)\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2729 - 1907. Suppose -22 = 5*j - r. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -659636 minus -7942.29123?\nAnswer: -651693.70877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39635506 + 3*q**2 + 39635506.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63.5999999679 - 63.6. What is j rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1295 + -11657\/9. Which is the third smallest value? (a) n (b) 11 (c) 0.4 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/12 - c**3 + c**2. Give g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from knknknnnnnnnnnnnkkk.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/231 and -8\/945.\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c + 21*c - 17*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 556703.2 millilitres?\nAnswer: 556.7032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 356*c**2 - 29*c + 30. Give p(1).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005288 to 6 dps.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6137.8 - -6131.2847. What is w rounded to one decimal place?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 15 - 32994\/(-2538)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 316341041 divided by -269\nAnswer: -1175989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4684\/5 + 14057\/15. What is the closest to 1 in -15, -0.1, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1659 + 1400 + 1387 = 55*x + 1641 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34.0681131614 from 0.44.\nAnswer: -33.6281131614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(119)\/(-3*sqrt(7)) - sqrt(17)) + 5 - (4*(sqrt(17)*-2 + 2))**2)*4.\nAnswer: -1520*sqrt(17) + 13764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971 is divided by 95.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 0.61539.\nAnswer: 9.23085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 9*u**5 + 5*u**5 + (28 - 28 - 5*u**4)*(-5*u + 14*u + 14*u).\nAnswer: -118*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1180, -2360, -3540?\n\"Answer: -1180*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 28 = -p - 4*a, 5*a = 25. Let y be p + 0 - (-243)\/9. Does y = 51\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8629*i*k**2*o - 2*i*o + 579*i + 6*k**2 - 4*k*o + 6*o - 26 wrt k?\nAnswer: 17258*i*k*o + 12*k - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 - 21871*g**2\/6 + 51065*g.\nAnswer: -g*(g - 14)*(g + 21885)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 25*u + 7. Let a be c(25). Let f(m) = -11*m**2 - 21*m. Let t(g) be the first derivative of -2*g**3 - 11*g**2\/2 + 352. What is a*t(v) - 4*f(v)?\nAnswer: 2*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -255\/7, -0.2, 0, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530390.\nAnswer: 2, 3, 5, 139, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10110011010 (base 2) to base 10\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3038226874 is divided by 1175?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/13091 equal to -22438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 267 + -267.136. Let i = 0.264 - o. Put 3\/5, 0.09, i in increasing order.\nAnswer: 0.09, i, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n**2 + 76*n**2 + 5 + n - 69*n**3 - n.\nAnswer: -69*n**3 + 44*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -587 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -336, 4 in ascending order.\nAnswer: -336, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*m - 3 = 0, -10 = 6*m - 4*m. Let d be 267\/1*(-2)\/(-6). Suppose n = 2*z + d, -r*n + 62 = -z - 308. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83? (a) -3\/5 (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -27\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (2\/(-11) - (-598)\/143)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255159 is divided by 216?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-6 + (-1 - 0)). Suppose -23 = -5*q + o, 5*o = -4*q + i*q - 31. Let m = q + -1. Let r(k) = -k**2 + 3*k - 1. Determine r(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23275935 to the nearest integer?\nAnswer: 4825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 3)*(2*q - 1 + 1)*(2460*q - 1252 + 623 + 629) to t + o*q + u*q**2 and give u.\nAnswer: 4920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 4*l - 0*l + 2, 0 = -5*q + 3*l - 34 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923208.9mg to nanograms.\nAnswer: 923208900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -277\/6. Let v = 67\/4 - 17. Let j = 0 - -3. Which is the biggest value? (a) j (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 4*q - 138 + 0*q.\nAnswer: -q - 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/4 + 51*c**3\/2 + 2157*c**2\/4 - 5720*c + 9075 = 0 for c.\nAnswer: -55, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -2198 in ascending order.\nAnswer: -2198, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4758, 4760, 4762?\nAnswer: 4764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 + -83. Sort s, 35, -5 in ascending order.\nAnswer: -5, s, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778212 is divided by 1777477?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11636, -11518, -11400?\nAnswer: -11282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**4\/3 + 41060*m**3\/3 - 4491496*m**2\/3 - 18458768*m\/3 - 6207680 = 0.\nAnswer: -2, 114, 20420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*l**3 + 0)*(l - 2*l + 0*l)*(-3*l + 6 + 4*l + 0*l) + (6*l - l - 2*l)*(-7*l**4 - 4*l**2 + 4*l**2).\nAnswer: -19*l**5 + 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - 428*o + 426*o + 2 + 34 + 3*o**3 + 4*o**4 in the form r*o**4 + b*o + l*o**3 + s + v*o**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/397 - 780\/2779. What is the closest to 0.1 in -8, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 4*h + 3*i + 10, 2*h + 5*i = -18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -17*b**2 - 10*b. What is f(6)?\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2231 - -120?\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7350122 weeks to microseconds.\nAnswer: 444535378560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7744)\/1232)\/((-3)\/21). What is the highest common factor of r and 990?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 l when three letters picked without replacement from {f: 6, v: 4, c: 1, l: 1, i: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12*(-9)\/24)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9805591 and 0.14.\nAnswer: 1372782.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 5, j: 4}. What is prob of picking 1 f and 2 j?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -323629\nAnswer: -13\/323629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = -0*v + 4*p, -4*p = v - 5. Let k(i) = 14 - 3*i**2 - v*i - 21 + 4*i**2. Determine k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 4)*(-7*x + 3*x + 3*x) + x + 0*x + 0*x + 0*x - 2*x + 0*x + 2 + 0*x + x - 1 + 0 + 0 - x - 2*x + 3*x + 5*x + (-2*x + 4*x - x)*(0 - 1 + 2).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 6*l**2 + 6*l + 3. Let s be c(7). Let w = 6 + s. Solve -p + w = m - 3*p, p = -3*m + 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-1443)\/(-483))*21\/(-3)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 7*v**2. Let h be p(7). Let k(j) = h*j - j + 2*j. Let n(f) = 2*f + 2. Let r(m) = k(m) - n(m). What is the derivative of r(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2. Let t(s) = -325044*s**2 - s. Determine t(h(p)).\nAnswer: -8126100*p**4 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*r - 14. Suppose 2*d - 5*x = -3*x, -r = -4*x. Let m(j) = -4*j. Let z be m(0). Which is the nearest to 1\/2? (a) d (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111226*n**2*q**2 - 2*n**2*q - 3*n*q**2 - 2*q**2 - 146*q - 1353 wrt q.\nAnswer: 222452*n**2 - 6*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5108 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4973.23 + -2.246814584?\nAnswer: 4970.983185416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*l - 100*l - 32*l)*(2 - 2 - 4*l)*(3*l - 6*l + 5*l).\nAnswer: 928*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1177697330 rounded to the nearest 100000?\nAnswer: -1177700000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 divided by -65.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000166396 rounded to six decimal places?\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -0.041552.\nAnswer: -0.341552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.72? (a) -34 (b) -1.3 (c) -145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y, 2*a + 1 = 3*y + y - 2 - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/120 - 5*g**3\/2 + 6*g. Let z(h) be the second derivative of o(h). Let t(k) = 2*k. What is t(z(d))?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7378290 and 10329606?\nAnswer: 51648030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5092003 to the power of 1\/2, to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-92) + (8\/160)\/(500\/5000)?\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*i**2 + 2 - 3 + 1.\nAnswer: 699*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 8*u**2 - 2*u + 9. Let k(z) = 7*z + 5. Let o = -28 - -33. Let i be k(o). Suppose -6*d + i = -8. Give h(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwhwwwwhwwwhwhwwww. Give prob of sequence hh.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 13. Let p be v(-7). Find the common denominator of (1648\/192)\/(p\/2) and (2\/(-10))\/(12\/890).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35685\/50505*1\/(-3) and 8\/333.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/6 + 11\/66. Let u(n) = n**3 - 3*n**2 + n + 2. Let q be u(3). Let l = v + q. Let g(x) = 2*x. Give g(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 > 326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16617.8 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3722 + -3741 - (-122 + -1).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 6*v**2 + 12*v + 31. Calculate k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4002?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3)*(11763 + 17853*a**3 - 5874 - 5889).\nAnswer: -17853*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20011 (base 5) to base 10.\nAnswer: -1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5321 divided by 313\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1008) + (sqrt(1008) - (sqrt(1008) + -2)) + 1).\nAnswer: 18 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y. Let r(o) = 19*o. Let p(q) = 378*q. Let f(l) = -6*p(l) + 119*r(l). Calculate f(j(v)).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -32. Which is the smallest value? (a) x (b) -2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-205)\/(-92004)*(-167)\/(-5) and 89\/612?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08938948968 + -3155.\nAnswer: -3155.08938948968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)\/m**14)**(-9) assuming m is positive.\nAnswer: m**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 + -4351.5.\nAnswer: -4281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 5*a - 7*a**2 + 1 + 4*a. Suppose 3*o - 7 = -5*l, -3*o - 1 = 3*l + 2. Let p = -7 - o. Determine v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -219, 3 in ascending order.\nAnswer: -219, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 664684*g**2*j**2 - 602*g**2*j - 473447011*g**2 wrt j?\nAnswer: 1329368*g**2*j - 602*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f**2 + 3*f + 2. Let z(q) = -q**3 + 3*q**2 + 5*q. Suppose 0 = m - 7*m + 24. Let k be z(m). Determine a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 34761*d**2\/5 + 28641*d\/5 - 1224 = 0?\nAnswer: -1, 2040\/11587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15824 and 2340.\nAnswer: 9257040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*y = -a + 1, 2*y + 2 = 2*a. Suppose 0 = -r + c - 3 + 4, 4*c - a = 0. Calculate the common denominator of ((-28)\/(-3))\/r + 1 and -107\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-5))\/(2\/10 + 0). Suppose -w + 2*w + o = 21, -3*o + 15 = 0. Let c = w + l. What is the greatest common divisor of 44 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10d3 + -28b9d?\nAnswer: -27aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -143, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.81 + 3.07. Which is the closest to r? (a) 2 (b) 1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459.236s in nanoseconds?\nAnswer: 1459236000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n - 6. Suppose -5 = -3*k - 5*d + 35, 2*d = 2*k. What are the prime factors of m(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.1, 1.4, 2, -1\/8, -1\/5 in decreasing order.\nAnswer: 2, 1.4, 0.2, -0.1, -1\/8, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 951855.85 to the nearest one hundred.\nAnswer: 951900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 1:35 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + (-4)\/(-6). Suppose 6 = -3*x - 3, -x = 2*j - g. Suppose 2*s - 9 = 1. Solve s*u - j = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 39906\nAnswer: 1\/39906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jad when three letters picked without replacement from ajlkd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 1, -3\/4, 1.3, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(539)).\nAnswer: 9 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 4*d**2 - 2*d + 6. Let h be m(-3). Solve -2*k + k = h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:14 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(17\/5)\/n**(-21) assuming n is positive.\nAnswer: n**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 65*g + 12. Is c(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 3, c: 2}. What is prob of picking 1 c and 1 o?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 25*w + 1193. Determine f(-23).\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, i: 1, a: 1, h: 9, b: 3, c: 1}. What is prob of picking 2 q and 1 a?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.12680851 and -10.\nAnswer: -10.12680851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -42, -43, -40, -33, -22?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*v + 40357 + 67891. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8153642 divided by -3?\nAnswer: -8153642\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*p - 14. Let x be 3*1\/(-9)*p. Suppose 7*a - 6 - 8 = 0. Solve x = -3*i - a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g + 58. Let q be r(14). Solve -48*p = -47*p - 5*w + 5, -p - 2*w + q = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -306*v - 235*v + 72678 - 45628 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:13 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -193.911 - 0.089. Let w = v - -236. Put 0.1, 2, w, 1\/2 in decreasing order.\nAnswer: w, 2, 1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-650)\/(-13) - -1*5 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -450 - -451. Solve -2*v + b = 4*u + 19, -3*u - 3*v - 21 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 8:00 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -23*u + 17*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 110.98. Let o = -0.05 - -0.45. Is u > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9 + -1417.746.\nAnswer: -1415.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0107903 rounded to five dps?\nAnswer: -0.01079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 824*b**2 - 198*b + 200*b + 169*b**2. Is d(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 16*d**2 + d - 5. Let x be v(8). Suppose 89 + 583 = x*m. What is the greatest common factor of m and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7806459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m - 12*m - 4*m - 11*m + 26.\nAnswer: -7*m + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 2}. What is prob of picking 2 g and 1 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 0*h)*(-10*h - 12*h + 34*h) + ((0 + 0 + 1)*(4 - 3 + 1) + 0 - 2 + 3)*(5 - 5 + 3*h**2).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3300)\/(-400)*((-30)\/(-9) - 3). Factor l*p**2 + 13\/4*p + 1\/2.\nAnswer: (p + 1)*(11*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10703 and 1386?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3192\/342*((-156)\/(-520))\/((-24)\/10).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, u: 3, y: 3, b: 4, z: 2, d: 2}. What is prob of picking 2 d and 1 z?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218191 is divided by 1199?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-2))\/30)\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 14. Let o be b(9). Suppose -q = -o*v + q - 38, -4 = 4*v + 5*q. Let l = v - -17. Calculate the least common multiple of 5 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01592695 rounded to five dps?\nAnswer: 0.01593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of z**2 + 1770*z + 2816?\nAnswer: 2*z + 1770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-9)\/2 + 3). What is the common denominator of -11\/7 and 309\/(-57) - (0 + (2 - q))?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzn when three letters picked without replacement from {f: 4, n: 2, z: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.7 - -21. Let a = y + -8. Put a, 1\/3, 5 in descending order.\nAnswer: 5, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 689?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frff when four letters picked without replacement from {r: 3, f: 11}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, -9, -48996 in increasing order.\nAnswer: -48996, -9, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1411 + 4480 + v**3 + v + 3104 to m*v**3 + r*v + s*v**2 + o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 199123075?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30375 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmkiiimmimiimkkmi. What is prob of picking 4 i?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*x + 1 - 1 - 813*x**3 + 819*x**3 - 10*x**2.\nAnswer: 2*x*(x - 3)*(3*x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58865782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/6 - 5*c**2 - 4*c. Let y(k) = -4*k**2. What is w(y(r))?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -573\/10 + -34\/5. Let x = n - -65. Find the common denominator of (-1 + -24)\/(1*-11) and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t*(t**(1\/3)*t)\/t*t))\/t)\/t*t**(-38)\/t)\/(t**44\/t*t\/t**(-17)) assuming t is positive.\nAnswer: t**(-307\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2296 divide 2074224768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 2, j: 8, b: 4}. What is prob of picking 1 k and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + 1 + -19 + 31).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-3)*(-144)\/64. Is p < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14253402 + -7185402. Round t to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 50. Let l = -1 + -2. Let s(z) = -z**2 - 3*z. Let u be s(l). Put u, w, -1 in descending order.\nAnswer: w, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 + 44362*i - 221785 = 0.\nAnswer: 5, 44357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**2 + 6820*o - 13620 = 0.\nAnswer: 2, 1362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0, 3\/8, 1\/5, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, n: 13}. Give prob of sequence ngnn.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.053 - -0.053. Let m = d + 22.4. Let n = -0.03 + -0.07. What is the third smallest value in 2, -4, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 6*v - 5*v)*(4*v - 2*v - v) + 7*v**2 - 26*v + 26*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2850638ml in litres?\nAnswer: 0.0002850638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.23153ng to micrograms.\nAnswer: 0.05223153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + 82?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14453590 = -244*d + 708570. Does 239 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9*18\/(-12). Which is the smallest value? (a) 4\/3 (b) q (c) -2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = -n + 9, -3*n = 5*f - 30. Let s = 31 - n. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3.6. Put 5, 0.2, k in ascending order.\nAnswer: k, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*j - 16, 34 - 4 = 4*j - 5*x. Suppose -a = 2*a + 12, 3*a - 2593 = -j*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25385?\nAnswer: 5, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-2)))**21)**(2\/59)\/((w**(-10)*w)\/((w**(-3\/11)*w)\/w))**(-20) assuming w is positive.\nAnswer: w**(-112356\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0*t**2 + 0*t**2 - 42*t**3 + 44*t**3.\nAnswer: 2*t**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232302200 + -111?\nAnswer: 232302023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 + 0.07. Let o be (-2)\/13 + 160\/702. Which is the nearest to 0.1? (a) 0.1 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 24 = 6*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 208. Suppose -3*u = -4*r - 2 + d, u - 2*r = -16. Let n be (-76)\/u - (-2)\/(-9). Calculate the highest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 11, 4, -9, -28, -53, -84?\n\"Answer: -3*q**2 + 8*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180636702 a multiple of 4438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -1 (c) 1005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/5 or -15133534?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 5:02 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 17*u**2 + 97*u + 122. Let x be (1 - 0)*(-2)\/2. Let z(i) = i**2 + i + 1. Let m(n) = x*j(n) - 3*z(n). Find y, given that m(y) = 0.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x - 54398 = 62288 - 111466 for x.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (-27 - (15 - 21))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10719 and 7543?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 times 18?\nAnswer: -2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**6\/120 - 7*r**5\/60 - 11*r**4\/24 - 4*r**3\/3 + 2*r**2. Is w(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:34 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 10*j**3 + 0*j + j + 51*j**3 - 33*j**2 + 38*j**2 to f*j**3 + u*j + l + q*j**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 - 10*y - 147. What is the tens digit of w(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 17*s - 67. Suppose 28*p - 33*p = -35. What is the remainder when x(p) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 9*f + 8. Suppose -f*n = -7*d + 3*d + 36, 0 = 3*n - 4*d + 31. Which is the second smallest value? (a) -1 (b) -2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n + 80 = 0. Let o = 19 + n. Find the second derivative of 2*w + o*w**2 - 3*w**2 - 2*w**3 wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-14) - (-1 + 1)) + (12 - 10)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165, -3, -2063.\nAnswer: -2063, -3, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t**4 - 6*t - 7*t**4 - t**5 + 17*t**2 - 19*t**3 - 16*t**3 + 18*t**3 = 0 for t.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 4*h**2 + h + 2. Let n be s(4). Let x be (15\/(-2))\/((-9)\/n). Solve -x*f = 5*o + 5, 4*o = -0*o - 5*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 5*d + 6*d - 22*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, -257, -520, -761, -980?\nAnswer: -1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73410?\nAnswer: 2, 3, 5, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:35 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232151 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/2)\/(211\/8862). Calculate the greatest common factor of 231 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 10*c + 20. Let q be n(8). Suppose 3*m - 9 = -p - 3, 3*m - 6 = 4*p. Solve -q*b - 4*v + 8 = -20, -5*b - 2*v + 20 = p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -1) + 8061 + -8017?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 9*n**2 - 1 + 1.\nAnswer: -9*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.88 - 7.52. Let m = -5.4 - t. What is the closest to -1 in -1\/5, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 19*b**4 - 9*b**4)*(-3 + b + 3).\nAnswer: -25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2736, -2738, -2728, -2700, -2648, -2566, -2448?\nAnswer: -2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 times 4.371\nAnswer: 100.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 12186 - 223 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 14. What is k(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52920266 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + 650 + 2 + 0\/(-3)?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*t + 33 + 151, t = 4. What is the remainder when m is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3922657120 to the nearest integer?\nAnswer: 62631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/16, -1, -0.4, 4, -16.7, -0.3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 4*i**2 + i + 17. Calculate k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35 (b) -0.1 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-28) + 9865\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1577, -1579, -1581?\n\"Answer: -2*b - 1575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (19843 - (-15 + 15)) + (-4)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 257912395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i**(1\/26)\/i))\/i))\/(i**(16\/5)*i))\/(i**(3\/17)\/(i*i**27)) assuming i is positive.\nAnswer: i**(52293\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 7 + 7.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25913034, 51826082, 77739130, 103652178, 129565226?\nAnswer: 155478274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 482*b - 481*b - 5 + 4 - 84*b**2 + (-2*b - 4 + 4)*(1 - 1 + 2*b) + 18 - 18 - 4*b**2.\nAnswer: -92*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*a = -39*a - 462 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 31 = 7*c + 4*v, -3*v = 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k = 18*k + 21*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -19*i + 391. Let p(s) = s**2 + 25*s - 3015. Let b be p(-69). Calculate m(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 176 = -2*r - 200, -6 = 3*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Suppose 12*l - 10 = 13*l. Let f = l - -38. Solve -q*a - 3 = -f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 0*m**4 + 0 + 2\/3*m**3 - 3\/20*m**5 - 1\/30*m**6 + 0*m**2 - 15*m. What is v in n(v) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/52 + 2614\/8. Let g = h + -321. Sort 0.3, 3\/8, 0.13, g in decreasing order.\nAnswer: g, 3\/8, 0.3, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 - 90. Let l(i) = -i**2 + 16*i + 4. Let t be l(x). Let p be t - ((-16)\/(-4) + -3). Solve 2*s + 16 = 2*j, p*j - 6*j - 16 = 5*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 2*j - 4*j)*(-19*j + 20 - 10 - 10) in the form b*j**2 + x + l*j and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 6570\/53. Let j be (4\/(-6))\/(-2)*-3. Which is bigger: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-6)*(-24)\/32*7810\/(-781).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Let f(h) = 5*h + 4. Calculate f(x) + 6*m(x).\nAnswer: -x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 2196?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 5*l**2 - 2. Suppose 0 = -4*h + 3 - 11. Let x be f(h). Suppose -x = -5*n, -4*n - 13 = -i - 9*n. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/4 + 41*a**5\/30 + 6*a**4 + 16*a**3\/3 + 31*a**2 + 3*a + 1. Factor m(c).\nAnswer: -2*(c - 4)*(c + 1)*(15*c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 7*g**2 - 15*g**2 - 4*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2174051777 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/7 + 24473*f\/7 + 1090364.\nAnswer: -(f - 24781)*(f + 308)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1296 + 1300. Which is the fourth smallest value? (a) 10 (b) s (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1005 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*x**2 + 240*x + 3*x**4 - 36*x**4 + 240*x**3 - 27*x**4 + 5*x**5 = 0. What is x?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03835*0.13.\nAnswer: -0.0049855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -4118061317495.\nAnswer: -4118061317497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249.7786*0.5.\nAnswer: 124.8893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, 2, 63, -5.\nAnswer: -5, -4, 2, 17, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9631547585503 and 4?\nAnswer: 9631547585499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 457, 466, 489, 532, 601, 702, 841, 1024?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1223*i - 61852 + 5594 = 0 for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1281755 to the nearest 10000.\nAnswer: 1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 14*q**2 - 6*q - 25. Let k = -64 - -49. What are the prime factors of o(k)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {p: 1, y: 1, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 2*t - 99. Suppose 2*s + 2400 = t*s. Calculate the greatest common divisor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5)*v)\/((v\/(v**(-12)*v*v))\/v))**(-13\/4)\/(v*v\/v**(-2\/3)*v**(8\/7)*(v**(-1))**(2\/29)) assuming v is positive.\nAnswer: v**(326539\/12180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-1996)\/(-498))\/(3 + (-176)\/66)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (22 - (4 + 5)) - 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s + 42. Does 7 divide w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01224 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3319352 = -65*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v + 802939*v**3 - 802644*v**3 - 12*v.\nAnswer: 295*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 - 45203184*h**3 - 127708035436792*h**2 - 255415935264048*h - 127707945030436 = 0. Calculate h.\nAnswer: -5650397, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1489*g + 12 + 1535*g - 8. What is the hundreds digit of x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 739492?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-5)*f**(3\/7)*f**(-2\/3)*(f**(-11)*f)\/f assuming f is positive.\nAnswer: f**(-320\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-375)\/20)\/(2*(-9)\/(-12)))\/(16\/96)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**15*u**(-10\/3) assuming u is positive.\nAnswer: u**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Suppose 0 = -2*z + g + 10, -3*g = z + 4*z - 3. Let p = z + -7. Let u be (6\/12)\/((-1)\/p). What is h(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98 + 133. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r)**(7\/5)\/((r\/(r\/(r\/(r*r*r\/r**(-4\/3))*r)))\/(r**10\/r)) assuming r is positive.\nAnswer: r**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154\/3 + -53. Let l = 4\/3 + q. What is the nearest to 1 in l, -2, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 24 = -5*d. Let b be (d\/(-10))\/((-12)\/30). Let y = 62 + -69. Put b, y, -2\/5 in descending order.\nAnswer: b, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**2 - k - 54. Suppose -5*g - 4 = 1. Determine q(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23288.3 + 23289. What is the nearest to 45\/4 in c, -1\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103809239.\nAnswer: 79, 257, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 7. Let b(h) = 2*h - 4. Let z(t) = -7*b(t) + 4*v(t). Let a(s) = -18*s. Determine z(a(u)).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 906*q - 887*q - 133 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 8. Let n(h) = h - 5. Let p(a) = 10*a + 6*a - 3 - 15*a. Let x be p(-2). Let b(r) = x*t(r) - 8*n(r). Let g(o) = -17*o. Calculate b(g(m)).\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/106592 and -97\/2.\nAnswer: 106592","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184*o + 1249*o - 4700*o + 1590*o to the form l + x*o and give x.\nAnswer: -2045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23179 is divided by 1178.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680170799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.020901\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -1 - 0. Suppose -2*s = -g + 10 + j, 5*g = -3*s + 55. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 1:42 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -101.40750326 and -16.\nAnswer: -117.40750326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**5\/2 - 123*j**4\/2 + 1926*j**3 - 1734*j**2 - 3720*j = 0.\nAnswer: -62, -1, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 50, 4 in descending order.\nAnswer: 50, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 180954 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -32495 (base 10) in base 5?\nAnswer: -2014440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132980 and 2362248?\nAnswer: 720485640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 353034, -1\/6 in descending order.\nAnswer: 353034, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933 minus -40.612?\nAnswer: 1973.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-76)\/16)*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jojojojjoyyoyjyfojjo. Give prob of picking 1 o and 1 f.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - -0.1. Let y = 113.5 - 113.7. What is the nearest to -1 in 3\/7, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j**2 - 50*j + 17. Let s = -15 - -7. Calculate the remainder when 1\/s*-166*4 is divided by d(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = 4*l - 4, -1279*a + 4 = 4*l - 1276*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+1.86\nAnswer: 1.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2438162 - 0?\nAnswer: -2438162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 11 - 117*i**2 - 94 + 17 + 18.\nAnswer: -117*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-14)*12060\/(-32160).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let p(w) = 6*w. Let z be (-2 - -10)*(-2)\/4. Calculate z*a(i) + p(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r + 27*r - 1 - r**2 + 3*r**2 in the form t + c*r**2 + d*r and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 5, 1, -5722?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-35)*-2)\/((-99)\/90).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aakmiaaaaakaa. Give prob of sequence mi.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -342 + 62 - 19 + 34 + 103 - 13*s to x*s + u and give u.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2113*h*r**5 - 15839*h*r - r**5 wrt r.\nAnswer: 42260*h*r**3 - 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, z: 2, o: 8}. What is prob of picking 2 n?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -22. Let u be (-15)\/(-45) + (-110)\/6. Let k = m - u. Sort k, 0, 4 in descending order.\nAnswer: k, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 + -214. Find the second derivative of -7 - 8 - 63*h**l - h + 6 + h**4 - 10 wrt h.\nAnswer: 12*h**2 - 378*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47517.71 litres to millilitres.\nAnswer: 47517710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 24. Let u be l + 7 + (0 - -1). Let q(o) = -3 + 3 - 4*o**2 + 2 - 8 + 2*o. Let f(g) = -5*g**2 + 3*g - 7. Determine u*f(y) - 6*q(y).\nAnswer: -y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 4*p + 10 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 11) to base 2\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*f - 26 + 3 - 17, 3 = -3*u + 6*f for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 111002212112 (base 3) to base 16\nAnswer: 3efb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1583 rounded to three dps?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + (40\/(-5) - -316). Which is bigger: 0.16 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 16*w = 60. Suppose 0 = w*l - 3*v - 25, -6*v = 5*l - 8*v - 20. Factor 3\/5*d - 1\/5*d**4 - 1\/5*d**l + 2\/5 - 3\/5*d**3.\nAnswer: -(d - 1)*(d + 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 + (0 - -1) - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45000 and 45940000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168963891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17817 divided by 29.\nAnswer: -17817\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i - 30*i + i**2 + 64*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h = -126*h + 74*h - 852. Let f(n) = -n**2 + n + 18. Let d = -6 + 6. What is the remainder when h is divided by f(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.8, -0.5, -12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18838711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0706 and -0.15?\nAnswer: -0.01059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09226565 to 4 dps.\nAnswer: 0.0923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23049 is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3670795046?\nAnswer: 2, 127, 14451949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 + -1)\/(11\/(-2)))\/(44\/11). Which is the closest to 1? (a) -4\/7 (b) k (c) -3\/92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100001 (base 2) to base 9.\nAnswer: -827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983944055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 27. Solve c = -v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 1, h: 2}. Give prob of sequence hq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -20*z. Let a(y) = 7*y. Let t(s) = 8*a(s) + 3*g(s). Let w(c) = -6*c**2. Give t(w(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 2 (c) -2\/5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82711 is divided by 13783.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 6*n + 5. Let b be c(-6). Suppose 4*j - 20 = -2*f, 5*j - 3*f - 23 = -b*f. Suppose j*o = -0*o + 3. Solve -3 = 3*z, 0*x + o = 2*x + 3*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**7\/140 + q**6\/300 + q**5\/100 + 11*q. Factor g(f).\nAnswer: -f**3*(f - 1)*(3*f + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2427757 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.386837m?\nAnswer: 0.004386837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 376\/6*(-5 + (-21)\/(-6)). Let h be 1 + -1 + y\/(-329). What is w in 6\/7*w**2 + 2\/7*w**3 + h + 6\/7*w = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5\/7 - 12*u**4\/7 + 439*u**3\/7 + 406*u**2 - 48204*u\/7 - 14872 = 0?\nAnswer: -22, -14, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4dd18 (base 14) to base 8.\nAnswer: 566642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j**5 + 426*j**4 + 10202*j**3 + 28982*j**2 - 90144*j + 50560 = 0. What is j?\nAnswer: -8, 1, 395\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x**2 - 2*x + 103. Let g(b) = -10*b**2 - 3*b + 155. Let z(l) = -7*c(l) + 5*g(l). Let r be z(0). Suppose -3*m + 132 + r = 0. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 6) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 371592 and 25896?\nAnswer: 30842136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -140767, -281535, -422303, -563071, -703839?\n\"Answer: -140768*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*v**2*y**2 + 6*v**2 + 2*v*y - 17*y**2 + 1 wrt v?\nAnswer: -24*v*y**2 + 12*v + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + 55.4. Let s = j + -56.3. Put s, 2\/9, 3\/8 in ascending order.\nAnswer: s, 2\/9, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:49 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4412910.\nAnswer: 2, 3, 5, 147097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -162*c + 161*c + 325, -c + 2*r = -343. Solve c*y - 100 = 312*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11619248437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1310448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 17688909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 652 = -100. Suppose 0 = 4*j - l - 194. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/100544 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1230 (base 6) to base 2.\nAnswer: -100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1038 = -33*i + 35*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48925399807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 1}. What is prob of sequence bb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 19.829 and -35.\nAnswer: -15.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 - -0.559479.\nAnswer: -20.440521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 509*l. Let x(y) = -y**2. Determine x(a(v)).\nAnswer: -259081*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2. Let l(y) = 108*y + 30. Give g(l(w)).\nAnswer: 46656*w**2 + 25920*w + 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 18*o**2 - 14*o - 39. Is 25 a factor of v(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -92, 72, 302, 562, 816, 1028, 1162, 1182?\n\"Answer: -6*i**3 + 69*i**2 - i - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23520 divided by 480?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 142463137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201204103 (base 7) to base 13.\nAnswer: 25604c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 73 + (-3)\/(-4*(-4)\/16). Let z = 146 - y. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 28. Let w = -14 + n. What is the third derivative of 0*l**2 + 12*l**2 - 4*l**2 + w*l**5 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 n when four letters picked without replacement from {n: 5, f: 2, d: 2}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.407 - 0.007. What is the biggest value in i, -1, 0, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/2, -0.1, -38, 210?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 12:57 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 8*l**2 + 8*l - 8. Let x(g) = g**3 - 5*g**2 - 5*g + 5. Suppose 5*r - 84 - 96 = 0. Let c be 8\/(-36) - (-188)\/r. Give c*v(f) + 8*x(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 3, i: 5, q: 1, j: 5}. What is prob of picking 1 s and 3 m?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43.345067 + 24.444924. Let n = v - -18.9. What is n rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-7))\/(78\/(-2730)). Suppose o + 3*m - 9965 = -m, 0 = -3*o + g*m + 29878. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5519033 is divided by 56.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(15)\/sqrt(80))*4 - (2*sqrt(240))\/(-5*sqrt(15)\/sqrt(3)).\nAnswer: 13*sqrt(3)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o. Suppose -j + 5*c = -o*j, 0 = -c + 1. Find the third derivative of -j*w - w**6 + 5*w - w**2 wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t - 81. Suppose 87 = 3*i + 3*r - r, 5*i + 4*r - 147 = 0. Calculate the smallest common multiple of i and k(7).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(2057)) + 5)**2.\nAnswer: -308*sqrt(17) + 8277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -65, -275, -753, -1601, -2921, -4815, -7385, -10733?\n\"Answer: -17*a**3 - 32*a**2 + 5*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/((-624)\/39) - ((-187)\/1 - 0). Solve -2*u = -5*a - 25, l = 4*a + 4*u + 175 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296437.\nAnswer: 296437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 7)*(3*m + m - 3*m)*(-3*m + 2*m + 0*m)*(-7 + 7 + 5*m**3) + 0*m**5 + m**5 + m**5 - 3*m**3.\nAnswer: -33*m**5 - 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0140772 rounded to four decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -9. Solve 4*p - 22 = 2*s, 0*p + 2*p - a = 2*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*t + 296 = 0, -a + 2 = 3*t + 86. Let x be (0 + a)*(6 - 7) + -2. Suppose -48 = -n + x. Calculate the remainder when n is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 242*x + 39. Is i(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.321641 and -1067.\nAnswer: -1068.321641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let m(x) be the first derivative of -x**6\/60 + x**3 + 2. Let q(z) be the third derivative of m(z). Give i(q(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3023*m**2 + m - 5021.\nAnswer: -6046*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 156617734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38334 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13981 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62420450 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-22) - (-91 - 38324\/(-484))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((324\/12)\/3)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -35, -48, -57?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 847\/72 + -107\/9. Which is the closest to 0.2? (a) l (b) -1 (c) -15 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p - 1. Give k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*m - 157 - 158 + 479 - 164 - 272*m.\nAnswer: 1078*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 17*t - 24. What is k(-17)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 11:07 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 782 - 458. Suppose 1077 - j = 3*t. Suppose -t = 3*h - 2*o, 0 = -h - o - 56 - 26. Round h to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + (2 - 9) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-5)*15\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q + 0*q - 3*q)*(-368*q - 77*q - 173*q) + (4*q - 3*q + q)*(-q - 2*q + 2*q) as z*q + x*q**2 + h and give x.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a. Suppose -q - 4*q = -10. Let r(y) = -15*y**2 + 11*y**q + y**2. What is r(s(c))?\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23*(-1764)\/(-2415)*((-3)\/(-9))\/((-6)\/(-45))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(6\/60). Suppose -3*f = -u + 5, -d*u = f + f - 8. Is f*6 + 3 - -15 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009845009 to 6 dps.\nAnswer: -0.000985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 + (-2610)\/(-24) + 1. Suppose 5*r - o = -4*a, 6*r - 4*a = 2*r + 52. What is the units digit of 19\/(19\/r) - 1*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwsko. What is prob of sequence kww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 8, -347, -1132, -2491, -4568, -7507, -11452?\nAnswer: -16547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 5*m**2 - m. Let i be c(4). Let n = -12519 + 12531. Does n = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19087 or 14788?\nAnswer: 19087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 + -0.766\nAnswer: 0.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 18 + (-2361696)\/168776\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62315330 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0 (c) 148 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 + -108. Suppose -2*r - 5*b - 38 = -22, p*r + 4*b = -6. Solve -2\/5 + 14\/15*g - 4\/15*g**r = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573, 576, 579, 582?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 9\/(18\/8). Let g(n) = t*n + 42 - 42 - 14*n. What are the prime factors of g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 605194276 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 22 (c) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 3)*(0*w + 3*w - 2*w)*(0 + 0 + 1)*(-500*w + 55*w + 19924 - 19922) to k*w**2 + z + j*w and give k.\nAnswer: -1780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v - 2*v)*(0*v - v + 0*v) - 4*v**2 + 31*v - 101516 + 101459 + 13*v.\nAnswer: -v**2 + 44*v - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3804?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 7*p**3 - p**3 + 3 + p**3 - 3 + (3 + 0 - 4)*(2*p**3 + p**3 - p**3) - 2*p**3 + 3*p**3 + p**3 + 16*p**3 + 2*p**3 - 6*p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24250?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9631653 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -492486857 times 0.5?\nAnswer: -246243428.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:08 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.04, -4, -0.03, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 1260.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*s**5 - 15138*s**4 + 27*s**3 + 35*s**2 - 1278*s + 148?\nAnswer: -2220*s**2 - 363312*s + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85708397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8ade4 - -36?\nAnswer: 8ae2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2445 and 2 + (17 - 21 - -2) + (-75)\/652.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -24 - (3\/(-6))\/((-2)\/(-4)). List the prime factors of (u*1)\/(((-40)\/16)\/5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 3*g**2 - 18*g + 15. Determine b(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 9*t - 45*t)*(-1 + 6 - 2) + (0 - 1 - 1)*(2*t + 2*t - 5*t) + (-2 + 3 - 2)*(-18*t + 3 + 2 - 7) in the form n + h*t and give h.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = h + j - 1, 5*j = -20. Let t(a) = 8 + h - 3 - a - 2. Let m be t(0). Calculate the highest common factor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -228, -509, -902?\nAnswer: -1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -10. Suppose 2*y + 720 = -4*a - 2*y, -2*a = -v*y + 346. What is a rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 3*r - r + 9 + (2 - 2 + 2*r)*(-2 - 2 - 1).\nAnswer: -7*r + 9","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 - 18*o**3 - 4 - 1.\nAnswer: -14*o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 6882 = -8*a - 13385. Is a less than or equal to 1559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*c + 4 = n + 169*c, -c + 11 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:32 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-21)*9\/(-18). Find s, given that -h*s**2 - 3\/7 + 4\/7*s = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10*s - 21*s = 0. Suppose s = 6*u - 157 + 37. Solve 29*a - 34*a + u = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/13860*22*5*(-2)\/(-4).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46886 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*g - 26, -6*f + 3*f + 3*g = -102. Let s(m) = 10*m**2 + m. What is the remainder when s(3) is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -112*y + 8453. What is s(76)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 4*d**2 + 6*d + 3. Let h be j(-4). What is the remainder when 134 is divided by (h - -3)\/(2\/(-3))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*z + p - 12, 0 = 5*z - 2*p + 20. Let g be (0 - (-6)\/(-4))*2. Put z, g, 3 in decreasing order.\nAnswer: 3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16809\/80 in 3, 1\/7, -0.1, -2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/5)\/j*j*j)\/j)\/j)\/j*j*(j\/(j**(-2\/35)*j))\/j assuming j is positive.\nAnswer: j**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 772?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667720 is divided by 2247.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23741125257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3798*i + 4346*i + 1718*i)*(-2 - 3 + 3)*(-3*i + 3*i - i**2) to g + b*i**2 + d*i + h*i**3 and give h.\nAnswer: 19724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 911 + -911.2. Which is greater: y or -24.9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(21\/9)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*x - 13*x - 4*x)*(0*x + 2*x - 5*x) - 3 + 51*x**2 - 77*x**2 + 5 to the form r*x + d + s*x**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75724\/1475 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29182*h = -30771*h + 73094 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 262 = -4*k, -2*m - 4 = -6*m. Suppose 274 + k = 4*r. Calculate the remainder when r is divided by (-65)\/(-3) - 2\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/458577 and -1\/870?\nAnswer: 4585770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (3 + -5))\/(2 + -15 - -14). Solve c = -9*n + 175 - 211 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57525, 57524, 57523, 57522, 57521, 57520?\nAnswer: 57519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 0*c**2 + 5*c**2)*(2 - c**3 - 2) - 48*c**5 - 124*c**5 + 32*c**5.\nAnswer: -141*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.75 - 0.85. Is -32 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 21. Let k(j) = -3*j**2. Determine k(m(o)).\nAnswer: -3*o**4 - 126*o**2 - 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -20. Suppose -8*r + 15 + 25 = l. Solve 3*k - 8*k = r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, -2\/9, 0, 1.298?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001605 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3008381.42 rounded to the nearest ten thousand?\nAnswer: 3010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*k**2 - 84 + 148 + 707*k**2 - 64.\nAnswer: -494*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 1085 + 232. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45493 divided by 45493\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 184*j + 3*j - 1958. Calculate the remainder when 85 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -0.6775 (b) 339 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + 6*(sqrt(65)*2 + sqrt(65) + sqrt(65)))*-3)\/((1*sqrt(500) + sqrt(500) + sqrt(500))*2).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k + 5*k**2 + 10*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 + 59*w - 1. What is b(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + (3 - -1))*(-25)\/(-200). Suppose 1 = -0*v - v. Is v equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -5, -5\/4, 0.1, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 1110001?\nAnswer: -1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u**4 + 1)*(2*u - 4 + 4) - 76*u**4 + 78*u**4 + 27*u**5 - 187*u**5.\nAnswer: -158*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 3\/((-3)\/(-11)). Let r = 16 - y. Suppose 2*b - 10 = -s, r*s + 3 = -17. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 - 28. Suppose 39*s = w*s - 2585. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 789160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)\/(v*v*v**(5\/7)*v*v)*v**(-10)\/(v*v**(11\/5)*v) assuming v is positive.\nAnswer: v**(-837\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 659470900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0*n**4 + 1\/6*n**6 + 0*n**3 + 0 + 3*n + 3\/2*n**2 + 0*n**5. What is the first derivative of o(t) wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -12*b - 27. Suppose 8 = u - 4*y - 2, 3*y + 14 = 4*u. Solve -2*s - u*s = b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:42 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 121*a + 3414. Determine p(-73).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 3. Suppose 144*n + 130 + 4 = -1450. Let b be 4\/(-3)*(-9)\/6. Let r(o) = 5*o + 15. Let y(l) = b*r(l) + n*j(l). Let v(m) = m. What is y(v(h))?\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45625 * 183.\nAnswer: 8349375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**5\/6 + 1885*a**4\/24 + 625*a**3\/3 + 11234. Factor t(s).\nAnswer: 5*s**2*(s + 2)*(s + 375)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(33)\/sqrt(396)) + -3*((-3*sqrt(9) + sqrt(9))\/sqrt(3))**2.\nAnswer: -36 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i**3 - i**2 - i + 7. Let u be h(-2). What is the second derivative of 22*d**5 - 21*d**5 + u*d - 138*d**4 + 204*d**4 wrt d?\nAnswer: 20*d**3 + 792*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392194513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k**(-1\/6)\/k)))*k**16)**(11\/7))**(-25) assuming k is positive.\nAnswer: k**(-29975\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -133.2 (c) -5\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, 19, 47, 63, 61, 35, -21?\n\"Answer: -t**3 + 3*t**2 + 32*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -624*6.16\nAnswer: -3843.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -76634.02 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2246*h**3 + 2432*h**3 - 3624*h**3 - 5112*h**3.\nAnswer: -8550*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59253*p - 59232*p = -5*x - 62, 14 = -p - 3*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -383 and -2.\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 52 + 0*m - 52 + 0*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**3*t - 2*j**2 - 23*j*t**2 - 283*t**2 with respect to j.\nAnswer: 9*j**2*t - 4*j - 23*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2509185840 divided by -4\nAnswer: 627296460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17521692, 17521693, 17521696, 17521701?\nAnswer: 17521708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8 (b) 218 (c) 817 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51121, 51332, 51635, 52030, 52517?\n\"Answer: 46*v**2 + 73*v + 51002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8824027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(3 + 0)\/(-3). Suppose -12*i = -18 - 18. Suppose -i*p = -w*t + 6, -p = 5*t + 4*p - 65. Calculate the remainder when 25 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26937 - -26940. Solve p*u + 18 = 3*i, -3*u - 59*i = -64*i + 30 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -10*d - 12. Suppose n = d*b - b + 16, -5*n + 4*b + 36 = 0. Let -1\/2*z**3 + 0*z + 1\/4*z**n + 0 + 0*z**2 = 0. What is z?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nut when three letters picked without replacement from {n: 1, k: 1, j: 1, t: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*m + 8*m = -322 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.635 times 1110\nAnswer: 5144.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/910*135\/(-891).\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/5*6\/(6\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1437597\/94 - -15293. Calculate the common denominator of (-306)\/66*2\/(-12) and w.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-234)\/65*5\/(-3). Let w be 2 - -3 - (h - 3). Suppose 4*c = -2*v - 19 + 155, w*v = c - 34. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222 greater than or equal to -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = 4*n, n = 2*o - 3. Let 2*h + 7*h**2 - 3*h**3 - 2*h**2 + 3*h**3 + h**4 + 4*h**o = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - s - 4)*(1 + 3 - 3) - s + 3*s - 3*s - 24 + 24 + 5*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 856*n**2 + 2*n + 2. Suppose 4*a + 11 = -f + 2*f, 5*f - 1 = 2*a. Let u be h(a). What is u rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -743, 1, -1.\nAnswer: -743, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(12\/(-2)) - 556\/24. What is the units digit of (((-54)\/(-6))\/3)\/((-1)\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(720) + -5)*3)**2 - (((1*sqrt(1815))\/sqrt(3))**2 + 2).\nAnswer: -2160*sqrt(5) + 25538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - g + 1. Let h(x) = 3*x - 1. Let p be h(1). Suppose 4*b - 2 = p. Calculate o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344269016 by -6.\nAnswer: -172134508\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**4*w**3 + 3371*m*w**2 + 224*w**3 + 23*w**2 + 1 wrt m.\nAnswer: 8*m**3*w**3 + 3371*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 3 + 0*c - 16.\nAnswer: -4*c - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -10 + 0*p + 1\/9*p**3 + 0*p**2. Determine d, given that k(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + 11330?\nAnswer: 11233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*sqrt(65)\/sqrt(5)*6 - ((0 + sqrt(13) + -3)*3)**2).\nAnswer: -200 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -410, -853, -1454?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-56)*-43 + (-188)\/(-658).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 2. Let i = -6 - -11. Suppose 13 = 3*r - i*f, 0 = -2*r - 3*r + 3*f - 5. What is the lowest common multiple of 10 and c(r)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 25?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66239*r**3 + r**2 - 15289*r.\nAnswer: -397434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*-2*(-4)\/8*-1. Suppose -r - 3*y = r - 15, -5*r - q*y = -45. Solve -4*i - 2 = -3*p, 4*i = -4*p + 2*p - r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j - 9. Let b be i(2). Is b less than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -0.01, 0.254, -0.15, 18?\nAnswer: 0.254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 193*m**4 + 41*m - 3 wrt m?\nAnswer: 2316*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 3*b**2 - 4*b**2)*(-2*b**2 + 1 - 1) + 6*b**4 + 152*b**4 + 17*b**4.\nAnswer: 181*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40104869 from 0.5.\nAnswer: -40104868.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -2\/7, 0.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from yyyxyyyxxyy.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 3:25 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3\/6 + x**2\/3 - 11*x\/6 - 2 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:22 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 10 = 2*q, -o - 11783 = 3*q - 11770 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.3 in -0.03, -2\/21, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3984 and -51\/88.\nAnswer: 43824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.97 + -3999.533927.\nAnswer: -3977.563927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*n**4\/3 - 385*n**3\/3 - 793*n**2\/3 - 161*n - 30 = 0. What is n?\nAnswer: -5, -2, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 120 in 2\/9, 0.5, -6\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -225*i + 8537. Give f(38).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h*i**4 + 3*h - 15*i**4 - i**3 + 25*i**2 + 2 wrt i.\nAnswer: -24*h*i - 360*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 646 + 1519. Is 0 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*g + 1 = 3, -4*x - 2*g - 2 = 0. Let v be x + (1662\/387)\/2. Let l = 8\/43 + v. Is l not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 26*w**2 - 3*w - 11. Suppose -4*s + 2*p - 26 = 0, -2*s + 4*p = -s + 10. Is t(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326056215 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:11 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 + 55 - 2 + 12 + 76*u with respect to u.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.086448 to 3 dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*l - 3)*(-3*l**2 + 3*l**2 + 8*l**3)*(l + 23 - 23) + (11 - 14 + 11)*(3*l**5 + l**5 - 2*l**5) + 0*l**5 + 0*l**5 + 2*l**5.\nAnswer: 42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 345\/18 - (-9)\/6. Suppose 0 + 6*k**2 + i*k**4 + 2\/3*k + 8*k**5 + 18*k**3 = 0. Calculate k.\nAnswer: -1, -1\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 19. Suppose 0 = -2*h + 5*n + 4496, -d*n = 5*h - 10*n - 11270. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 373\/6. Let x = -3.1 + 3. Let c = 2.99 - -0.01. Put b, x, c in decreasing order.\nAnswer: c, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-10) - 2188\/(-20). Suppose 4*o - 2 = 10. Let m = o - -7. Calculate the highest common divisor of m and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38608.1979428 + 38582.798. Let w = -25.4 - s. Round w to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, 3, -13, -652, 1 in descending order.\nAnswer: 20, 4, 3, 1, -13, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25757\/8 - -3228. Let i be (1\/1 + -143)\/(-11). Let n = i - -179\/33. Find the common denominator of n and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -28, 4, 15 in decreasing order.\nAnswer: 15, 9, 4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88253239693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, 148363 in increasing order.\nAnswer: 2, 19, 148363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-890)\/6)\/((-15)\/9). Solve 3*r + 1 = -91*o + j*o, -40 = -5*r + 5*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84895074?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 8:59 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2)*-23 - -1. Suppose -2*y = -4*y - c. Let g be (2\/(-6))\/(2\/y). Solve -r + 1 = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138895 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -72. Let d be (-6)\/(-4)*(7 + (-300)\/r). What is the closest to d in -0.1, 0.8, 2, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2747*f**2*v + 2*f**2 + 5*f*v - 40089*f - 3 wrt v?\nAnswer: 2747*f**2 + 5*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -31161*o**3 + 21*o**2 + 5*o - 10. Let v be c(6). Round v to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 5*t**2 - 3*t - 1. Determine r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 87514.\nAnswer: -350056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let u(h) = -16*h**2 + 3*h + 3. Let k(j) = -703*j**2 + 133*j + 133. Let t(n) = 3*k(n) - 133*u(n). Determine t(s(v)).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a hour in minutes?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -817 - 32*h + 817 - 366*h to i*h + z and give i.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:20 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a second in milliseconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 7)*5\/(-2). Suppose t*d = -25, -2*p - 2*d + 679 = -3*d. Let u = p + -176. Is u 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 46332 and 1144.\nAnswer: 92664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 8. Let a be y(10). Suppose a*k - k - 11 = 0. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0 (c) -6 (d) -0.04 (e) 3\/130 (f) -4 (g) -10\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, -6, -27, -66, -129, -222, -351?\n\"Answer: -y**3 - 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + (-228)\/18. Let r = 29 + a. Let y(g) = 480 - 480 + r*g**2. Let i(z) = -2*z. Give i(y(t)).\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -6442727.13802 from 5.\nAnswer: 6442732.13802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -743 (b) 0.1 (c) 0 (d) 36.9 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161 (base 7) to base 9.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/120 + k**4\/6 + k**3\/2 - 18*k**2 - 4*k. Give x(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/323114 and -35\/63624084.\nAnswer: 699864924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**3*u**5 + 5*m**3*u - 396*m*u**6 - m*u**2 - 3*u**2 - 18 wrt u.\nAnswer: -360*m**3*u**2 - 47520*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240\/19 <= 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 558 - 564. Suppose -k - 5*d = 25, 0 = -k - d + 2*d + 5. Which is the third smallest value? (a) k (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264415298 to the power of 1\/2, to the nearest integer?\nAnswer: 16261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4*p**2 + 3*p - 2. Let t be (0 + -4)*17\/(-34). Determine m(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*i**2*q**3 - 2*i**2*q + 16*q**3 - 3*q**2 + 11 wrt q?\nAnswer: -72*i**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmakal. What is prob of picking 1 l, 1 k, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 964\/7 - 138. Let v = -8802 + 8801.7. Which is the nearest to 8? (a) v (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**8\/336 - m**7\/21 + 2*m**6\/9 - 3*m**3\/2 - 5*m. Let r(f) be the second derivative of v(f). Let r(j) = 0. What is j?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83 + 1 + (74 - 144)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(-2*sqrt(2) - sqrt(2)) - (sqrt(19) + 1 + 0).\nAnswer: -4*sqrt(19)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*7*-5*1512\/(-245). Suppose b = 7*k + 17*k. Let w(f) = 16*f**3 + 9*f**2 + 8*f - 4. Let p(y) = -4*y**3 - 2*y**2 - 2*y + 1. What is k*p(a) + 2*w(a)?\nAnswer: -4*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 27*t**2. Let w(x) = 11*x**2. Determine w(l(m)).\nAnswer: 8019*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 24. Let h(i) = 24*i**2 + 2*i - 2. Let m be h(g). What is the first derivative of -2 + m*a**2 - 1 - 33*a**2 wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**2 - d**2 + (-4*d + d + d)*(d - 2*d + 10*d))*(-20 + 20 - 20*d).\nAnswer: 320*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.4 - -2. Let n = -15.4061 - y. What is n rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 58*m**2 + 63*m**2 + 69 - 122*m**2 in the form x*m + t*m**2 + b + w*m**3 and give b.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c95 - 1?\nAnswer: -2c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) + sqrt(576) + (sqrt(576) - 1*(sqrt(576) + (sqrt(576) - -4*sqrt(576)) - sqrt(576))))\/((-5*sqrt(10))\/sqrt(5)*6).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2773260 divided by -2556\nAnswer: -1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 13, 27, 47, 73, 105?\n\"Answer: 3*a**2 - a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1237.\nAnswer: 1\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 9*j + 2. Suppose -t = t - 8. Suppose -u - 2 = t. List the prime factors of o(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t. Solve t = -7*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/325, -1\/9, -5, -1\/3, 3 in descending order.\nAnswer: 3, -4\/325, -1\/9, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*((-5*(1 + sqrt(243)) + sqrt(243) - (sqrt(243) + 0 + 2)) + -4))**2*1.\nAnswer: 3420*sqrt(3) + 24661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*(-6)\/(-16). Let l = -0.9 - -1. Let v = -861 - -862. What is the closest to f in v, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 + 324*r + 673. Calculate c(83).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*z - 4*k, 0*k + 45 = 5*z + 5*k. Suppose m - 5*m = -z. Solve 0 = -3*l - m - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 4*u + 3. Let t be z(-2). Let p be t + -3*(1 + 0). Suppose 0*g + 2*g = 12. What is the second biggest value in 0.5, p, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/132 + (-3)\/(-12). Which is the nearest to 1? (a) -2\/5 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(0*o - 2*o + 0*o) + (5 + 1 - 4)*(4*o + 2*o - 4*o) + (-3*o - 3*o + 4*o)*(3 - 2 - 4).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, -3885, -14823, -36137, -71289, -123741, -196955?\nAnswer: -294393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*b - 18 = 0, -b + 15 = -4*b. Let w(j) = j**3 - 1. Let q(i) = 2*i**3 - 4. Suppose -27*l + 25*l + 8 = 0. What is f*q(p) + l*w(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 + 6*z**2 + 39*z + 29*z - 272 + 850 = 0. Calculate z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**3 - 2*o**2 + 2*o - 9. Let i(x) = 11*x**3 + 5*x**2 - 6*x + 19. Let b(h) = 2*i(h) + 5*j(h). Let z(g) = -3 + g**3 + 2 + 2. What is -b(y) - 5*z(y)?\nAnswer: 3*y**3 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1588)\/12)\/((-81)\/13122). What is the highest common factor of r and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzx when three letters picked without replacement from {x: 7, z: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from lttltltttltltttttttt.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 17*c**2 - 20*c - 22. Let o be q(-18). Let y be (o\/(-2) - -3)*2. Put -3, 5, -5, y in descending order.\nAnswer: 5, -3, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 3*i - 3*i)*(-i**2 + 0*i**2 - i**2 - 14*i + 14*i + 4*i**2 - 3*i + i**2 + 3*i + (-3*i + 0*i + 5*i)*(0*i + 0*i + 2*i) + 2*i**2 + 3*i**2 + i**2).\nAnswer: 13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -0. What is the nearest to -3 in -2\/5, q, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444321 is divided by 10860.\nAnswer: 10801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*j + 23981 - 185570 = 0. What are the prime factors of j?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**3 - 56*s**3 + 53*s**3 + 17.\nAnswer: 6*s**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 1. Let a(g) = 3*g - 5. Let c(m) be the first derivative of m**3\/3 + 5*m**2\/2 + 10*m - 65. Let z be c(-4). Determine z*f(r) - a(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*s - 35*s + 107*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1368\/380*3\/9.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -8 - 0) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/886023 and 137\/14176368?\nAnswer: 14176368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940017 is divided by 940013.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5694 (c) -18\/19 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406320 and 3250560?\nAnswer: 3250560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110758\/1649 greater than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20957*q + 335308. Give m(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*i - 43 = 0, 2*k + 2*i - 28 = -0*k. Let j = 13 - k. Solve -31 = -j*g + 4*m - 3, 3*m = -2*g - 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*t - 3*p + p, -4*p = 4*t - 40. Suppose -4*m = -t - 8. What is the lowest common multiple of m and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 253895728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 13*g**2 + 55*g + 254. Let k be m(-10). Solve -46 + 22 = -k*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/89 + -77\/178. What is the closest to -261 in 2\/3, x, -1\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 - 7033016*d\/7 - 21099066\/7.\nAnswer: 2*(d - 3516511)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67825.55 millilitres?\nAnswer: 67.82555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57716 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -1901*f + 1903*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -800 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1080150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from actxxaczac. What is prob of sequence cz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 0 + 2\/11*k**5 + 4\/11*k**2 + 8\/11*k**4 + 10\/11*k**3 = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -492*y*z**2 - 31*y*z - 584*y + 22922*z**2 + 210*z - 1 wrt z?\nAnswer: -984*y + 45844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 1. Let d(u) = u**3 + 10*u**2 + u + 12. Let h be d(-10). Let k(t) = 13*t**h - 6*t**2 - 5*t**2 + 1 - 3*t. Let g(m) = k(m) - 5*p(m). Factor g(q).\nAnswer: 2*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*-1)*-5 + sqrt(77))\/(sqrt(176)*-1).\nAnswer: 9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 117*n - 3*n**2 - 12*n**2 + 115*n to s*n + q*n**2 + y and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-36)\/(-14))\/(113072\/18844 + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 60*b**2 + 66*b + 26. What is the lowest common multiple of x(31) and 4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -946830 divided by 6\nAnswer: -157805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-3)\/r))**46\/(r*r\/((r\/r**4)\/r)*r\/r**(-6\/7)) assuming r is positive.\nAnswer: r**(1555\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 0, 2*m + 8 = 34*p - 31*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*g**2 + 480*g**2 - 1035*g**2.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4*730\/219*(3 + 74\/(-10)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1322600 - -131?\nAnswer: 1323031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 425543031 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: What is the common denominator of -73\/342 and -73\/84066?\nAnswer: 4791762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4661364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 717 by 39.\nAnswer: 239\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*b = 8*b - 77, 124 = 5*j + 4*b. What is the least common multiple of j and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244339 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -174201, -174518, -174835, -175152, -175469?\n\"Answer: -317*p - 173884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227 and 343566997?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1061950015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m - 14 = 0. Let q be 2\/(-7) + (-32)\/m. Solve n = q*s - 2 - 8, 0 = s - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/28 - 18\/24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89613 (base 10) in base 2?\nAnswer: -10101111000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 14*g - 44. Calculate z(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Let s(d) = -d**3 + 3*d**2 - 3*d + 2. What is s(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 117. Let d(n) = 2*n - n + 69*n**2 - 3*n - 68*n**l. What is d(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 2*f - 12, 3*i = -740*f - 740*f + 1477*f - 45 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*x + 150*x = -20. Solve -3*y - 7 = 5*h, -2*y + 0*y + x*h - 13 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-2 + 3)*-1.\nAnswer: -3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4065 and 11435?\nAnswer: 9296655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or -115605\/2?\nAnswer: -115605\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 17, 35, 61, 95?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.6437553 to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 4*h = 0. Suppose h*b - 14 = 2*b. Let q be 1*b\/(42\/4). Which is greater: -2\/5 or q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 8.6?\nAnswer: 0.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 2*x - 3. Let o be ((-12)\/(-14))\/(3\/(-21)). Let d = -11 - o. Let b = d - -1. Calculate s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*k + 16, 4*g - 3*g + 3*k = 14. Let i(j) be the third derivative of -j**2 + 0 + 0*j + 1\/60*j**5 - 1\/8*j**4 + 1\/2*j**3. Give i(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 10. Suppose l = 3*i - 0*l - 99, 3*i + l - 99 = a. Calculate the remainder when (3*(-2)\/3)\/((-1)\/i) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2904 + -1280?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 448040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/3))**(-3\/7)\/(t*t**(-24))**8 assuming t is positive.\nAnswer: t**(1296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*-6 + sqrt(152))\/(sqrt(80)\/(-2*sqrt(10))).\nAnswer: 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/(-8) - (-15)\/12. Suppose -n*b = 4*b - 6372. Is b a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 = 3*o, 2*r = -6 - 0. Sort o, -8, 5, 2 in descending order.\nAnswer: 5, 2, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -69. Let r(w) = -w**3 + w. Let c(f) = 2*f**3 - 3*f. Calculate i*c(m) - 3*r(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 7*j**5\/2 - 41*j**4 - 31*j**3\/2 + 41*j**2 + 12*j = 0.\nAnswer: -1, -2\/7, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 56848*y. Let m(h) = 2*h**2 + 49*h. Calculate m(c(k)).\nAnswer: 6463390208*k**2 + 2785552*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 34 = 7*w - 4*w, -3*j = -15 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 15*v**2 + 7*v + 35. What is the hundreds digit of i(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 5*t**2 - 5*t + 10. Let p be (-10)\/(-2)*(3\/15 + (-4)\/(-5)). Calculate m(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -21*c**2 + 5*c - 3. Let o be t(7). Let x = o - -1481. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*g + 2*g = 84, -u + 6 = -2*g. Suppose -t = -2*p - 4, 0*t + t + 3*p + u = 0. Let x = t + 10. Solve -x*n + 4*f = -3*n + 7, 4*f - 17 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o - 69. What is the lowest common multiple of 108 and t(12)?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6365.4 to the nearest 10.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*h - 353*h + 14 = 0. What is the nearest to 1\/3 in 0.99, 1, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647099 is divided by 1647071.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5384124 and 3420?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k + 2*k)*(0*k - 3*k + 0*k) - 4*k**2 + 4*k**2 + 2*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3462375 by 230825.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 3049848?\nAnswer: 12199392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - 0 - 1*-4. Let u = y + 81. Suppose -q = -1112 - u. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*(-4)\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 7*b + 6. Let q(h) be the second derivative of h**4\/12 + 7*h**3\/6 - 5*h**2 - 4*h. Let u be q(-7). Is 12 a factor of o(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3\/3 + 3*m. Let z(h) = -29*h + 2. Let n(o) = 1. Let s(q) = -2*n(q) + z(q). Calculate a(s(r)).\nAnswer: 58*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*q + 42*q - 79*q + 106890. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1 + 2*sqrt(432))**2.\nAnswer: -72*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)\/v*v**(-2\/5) assuming v is positive.\nAnswer: v**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5 + 23. Suppose 0 = 5*w + 1 + 4. Let c = w - -2. Calculate the greatest common divisor of u and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 1:43 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 3)*(-8*p + 7*p - 290*p**3 + 95*p**3) to the form k*p**3 + v*p + z*p**2 + j and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j. Let g(f) = 2*f**3 - 7*f**2 - 16*f + 1. Calculate g(o) - 4*x(o).\nAnswer: 2*o**3 - 3*o**2 - 12*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/54)\/((-3)\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 768 and 60?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 110\/10*(2 - 1). Let c be (6\/n)\/(-3) - 7220\/(-22). Let o be (-2)\/(-9)*-3 + c\/24. What is the highest common divisor of o and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + 1 + -3 + 1. What is the third derivative of l**2 - 5*l**6 - g*l**2 + 13*l**6 + 4*l**2 wrt l?\nAnswer: 960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 1. Let b(v) = 22*v - 6. Let s(c) = -b(c) + 5*l(c). Let y be s(-1). Calculate the greatest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1961.2027 + -0.9973. Round g to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 636254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126765 is divided by 3426.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3800567t?\nAnswer: 380056700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:05 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 16. Let s = 20.9 - r. Suppose -2*x = -3*x - 1. Which is the closest to s? (a) -2 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2959631.9 and -1?\nAnswer: -2959631.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3\/3 + 184*x**2 + 588*x - 3384 = 0. Calculate x.\nAnswer: -6, 3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 47 = 23. What is the third derivative of -13*z**3 - 10 - 4 + 7*z**2 + f wrt z?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 446.902 - 447. Let u = x + 11.098. Which is the closest to 0.1? (a) -3 (b) -1 (c) 0 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*x**2 - 3)*(755*x + 1334*x + 173*x).\nAnswer: 9048*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = j - 11, -11*j + 8*j + 4*s = -17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158272?\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1561 divided by -852.\nAnswer: 1561\/852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 119*m**2 - 118*m - 31. What are the prime factors of s(-17)?\nAnswer: 2, 3, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*h**3 - 264*h**2 - 2178*h.\nAnswer: -2*h*(2*h + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hokoirv. Give prob of sequence rirk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -241 + 248. Let u(n) = -46*n - 7. Let j(c) = -31*c - 5. Let g(l) = q*j(l) - 5*u(l). Let h(k) = -8*k. Calculate h(g(r)).\nAnswer: -104*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbb when three letters picked without replacement from {c: 2, t: 3, b: 2, v: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1586*f**5 - 157727*f**4 + 433029200*f?\nAnswer: -31720*f**3 - 1892724*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -422601350?\nAnswer: -422601355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let y(z) = -313*z**2. Determine l(y(b)).\nAnswer: 313*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 21*g - 19 = -9*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t = 3*x + 3332, 3*t + 5*x - 2528 = 0. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -11*s**5\/120 - 3*s**3 - 2. Let v(j) be the third derivative of x(j). What is the units digit of v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*l**2*p**2 - g**3*l**2*p - 8*g**2*l*p + 2*g*l**2*p**2 + 5*g*l**2*p + l**2*p + 46*p**2 wrt p.\nAnswer: 2*g**3*l**2 + 4*g*l**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 18. Suppose -24 = -j - m. Let h be (-3 - -7)\/(j\/(-6)). Solve v - h = -0*v - s, -3*v - s + 16 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46691 divided by 8?\nAnswer: 46691\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2 - 3 + 0)*(-6*p + 3*p + 17*p).\nAnswer: 14*p**2 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 60 = 0. Suppose 0 = -3*m + 4*i - 119, -m = 3*i + i + 61. Let j = -17 - m. Calculate the remainder when j is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2))**(4\/11)*(r**0)**(-15\/4))\/(r\/(r*r**(6\/11))*r\/(r*(r*r**(4\/9))\/r)*((r**0\/r)\/r)**(-2\/13)) assuming r is positive.\nAnswer: r**(-58\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -23*b**3 - b**2 - 19*b + 7. Let z(t) = -4*t**2 + 3*t - 1. What is d(g) + 6*z(g)?\nAnswer: -23*g**3 - 25*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.8 and -91.\nAnswer: -82.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/164560 and -67\/10912.\nAnswer: 10202720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 35 - 5. Suppose 14*w = m*w + 112. What is the remainder when 83 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40.6 and 2.836?\nAnswer: -115.1416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65327*t**3 - 31373*t**3 - 33950*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -3, 3.8, 3\/41, 818?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1299039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 5*s = -p - 5, -4*p - 2*s + 24 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*t + 528 = -1908 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141 and 28764?\nAnswer: 28764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -6 - (-2)\/3*-3. Suppose -5*s + b*s + 445 = 0. Let m = s - 16. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 1\/2 (c) -5 (d) 0.3 (e) -3\/4 (f) 9340\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044426 rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t + 3687 - 3682 - 4*t.\nAnswer: -22*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)*-4)\/(sqrt(24) - (sqrt(24) + sqrt(24) + sqrt(216))) - (-1 + sqrt(176) + 5*sqrt(110)\/sqrt(10)).\nAnswer: -8*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, -0.9, 2\/47 in decreasing order.\nAnswer: 2\/47, -0.4, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 110*x + 7. Let j(s) = -39*s - 2. Let o(u) = -6*a(u) - 17*j(u). Determine o(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118818.1 tonnes to micrograms.\nAnswer: 118818100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 14. What is the nearest to 0.1 in -0.1, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 12*t + 81 = 0. Let s be (0 + t\/6)*(-16)\/(-24). Solve -3*w + 0*v = 3*v + 6, 2*v + 4 = s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3812, 4, 3, 8 in descending order.\nAnswer: 8, 4, 3, -3812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2705 - 2703 = d, 4*d = -5*k + 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47339217 - 24169217. Round q to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 - 6\/(-30)*17.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1101100001111111101 (base 2) to base 6\nAnswer: 13300421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -675, -2574, -5731, -10146?\nAnswer: -15819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/19 + 150\/133. Suppose 0 = 4*n + 4, 4*n + 8 + 11 = -5*t. Put x, -4, t in descending order.\nAnswer: x, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 - 3*q**4 + 5*q**4)*(-1 + 0 + 0) - 2*q**4 - q**4 - 4*q**4.\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 72. What is the greatest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*1\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1e1419 (base 16) to base 7\nAnswer: 22520004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6368889 is divided by 1592222.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.653987 millimeters to meters.\nAnswer: 0.009653987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 23*k + 31 = 28*k, 2*k = 5*b - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4\/489, 2\/3, -0.2 in ascending order.\nAnswer: -2, -0.2, -4\/489, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 11*q + 9 = -13*q, 2*l - q - 12 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3483200 to the nearest ten thousand.\nAnswer: 3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11133206 (base 8) to base 5\nAnswer: -1103443042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(448)) + 2 + (sqrt(7) - (sqrt(7) - 2*sqrt(700))).\nAnswer: -28*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*l + 3\/4*l**2 + 0.\nAnswer: 3*l*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 350 - -23126?\nAnswer: 23476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.3 (c) -0.0570045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 3*p**2 + 0 - 14*p**2 + 2*p**3 + 18*p**2 - 1668*p - 1 to the form q*p**2 + j + w*p + t*p**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*z)*(2 - 2 - 5) - z - 5*z - 2*z + (-5 + 1 + 2)*(2*z + 3*z - 3*z) + z - 2*z - z to the form h + k*z and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z + 0*z**2 + 3\/20*z**4 + 37 - 1\/5*z**3 + 3\/25*z**5 - 1\/10*z**6. Suppose a(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d + 8. Let r be (6\/4 + -1)*d. Which is the third smallest value? (a) -3 (b) r (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {o: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 15. Let o(x) = 2*x**2 - 5*x - 4. Let k be o(4). Let w = k - r. Which is the second biggest value? (a) w (b) -0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35, -18, 1, 22?\n\"Answer: s**2 + 14*s - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12925 + 12924.668. Let w = -515.6839 - -516. Let l = w + f. What is l rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 9. Let s be m(-6). Let j(x) = -x. Let h be j(s). What are the prime factors of 39\/h*(-2 + 5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683360441?\nAnswer: 3, 7, 8906669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*i**4*j**3 + 619*i**4*j - 2*i**4 - 18116*i**2*j - 5*i*j**3 wrt i.\nAnswer: 408*i*j**3 + 14856*i*j - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + h - 13 = -23, j + 2*h = -5. Suppose 0*s - 4 = s. Sort s, j, 3.\nAnswer: j, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Suppose -2*v - 4*y = -20, 0 = q*v + 2*v + 4*y - 52. What is the highest common factor of v and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1211131.1 from 0.0296.\nAnswer: -1211131.0704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/7 - 206*w**3\/7 + 6960*w**2\/7 - 74752*w\/7 - 81920\/7 = 0. Calculate w.\nAnswer: -1, 32, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + sqrt(2057) + 5 - (sqrt(2057) + -2 + sqrt(2057))*5)*-1*2)**2.\nAnswer: -22176*sqrt(17) + 1334504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 400968.1485 to the nearest one hundred.\nAnswer: 401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1)\/((-8)\/64)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(4\/(-4)*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27672 divided by 2306\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1192359*c - 597325*c - 595034*c - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-6) - (-4)\/(-6). Let t(k) = k - 3. Let m(i) = -i + 4. Let s(j) = 3*m(j) + 2*t(j). Let p be s(6). Solve p = f - o - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from jurruxb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1011111100100 (base 2) to base 14\nAnswer: -232c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.81 take away 940?\nAnswer: -923.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368 divided by -368.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 571, 1100, 1449, 1528, 1247?\n\"Answer: -15*o**3 + 634*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1685768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -1\/2*c**3 + 5*c**2 + 1\/24*c**4 + 0*c + 0. Calculate j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 1, i: 2, g: 1, y: 2}. Give prob of sequence yog.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than -22146\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24400205 + 3310?\nAnswer: 24403515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 309 - 430. Let q = 1172 + u. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 3*y**2 + 0*y + 0 + 5\/3*y**3 - 1\/12*y**4. Let l be h(-10). Calculate the highest common divisor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**7\/147 - y**6\/21 + 3*y**5\/35 - y + 4. Factor r(w).\nAnswer: 2*w**3*(w - 3)*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4990773.\nAnswer: 3, 137, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 335714 + 712654 = -188490. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r + 336 = -96 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118088 and 20360?\nAnswer: 590440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -538815 + 5?\nAnswer: -538810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28110 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - 21?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 282976*d - 10009427072.\nAnswer: -2*(d - 70744)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1125) + sqrt(1125)*-2) + (sqrt(1125) + 2)*-6)**2*6.\nAnswer: 21600*sqrt(5) + 675864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -16*a - 15. What is the hundreds digit of (-974)\/(-5) - 1\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-40))\/(-23 - (-13725)\/600). Let k = 0 - 0.01. What is the closest to k in -3, i, -1, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 26 = -2*l - 2*l, 3*l = -4*x - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/200)\/(5\/(-2)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeekeeeeekeeeee. Give prob of sequence kkee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/235746 and 149\/3108.\nAnswer: 17445204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7685.7 - 7652. Round w to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1. Let c(x) = 28*x - 84. What is c(o) - 84*d(o)?\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53991 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80.26*0.1.\nAnswer: -8.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Find the third derivative of -162*x**3 + 6*x**2 + 3*x + 324*x**3 - 162*x**q - 15*x**4 wrt x.\nAnswer: -360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 14 + 86. Let x(d) = 154*d - 3 + n - 149*d + 2. Let f be x(-7). Solve f = w - 3*v - 19, 2 = 2*w + w + 2*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 1\/(1 - 2). Let o = 6 - i. Let r be 3*o\/42*-3. Put 2\/5, r, -1 in decreasing order.\nAnswer: r, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18132\/(-83105))\/((-8)\/((-200)\/(-45))).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + o**2 - 4*o. Let f(a) be the third derivative of -a**5\/30 - 16*a**2. Determine f(k(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/770 and 39\/280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -3, -7, -5, -13265?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036448 rounded to four dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9394, 18788, 28182, 37576, 46970, 56364?\n\"Answer: 9394*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28032793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 3*b**5\/20 + 437*b**4\/4 + 47523*b**3\/2 - 143883*b**2\/2 - 1861*b. Suppose c(t) = 0. What is t?\nAnswer: -219, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = -5*l, 5*x - l = -50 - 39. List the prime factors of 0 - -3 - (-19 - x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:58 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 124\/16 + 1 + 1\/4. Solve -11*a + t*a = -4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 32*r + 112. What is m(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (11 + -2) - -1) + (1 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 5*c**2 + 7*c - 8. Let l be a(6). Let j(u) = 2*u + 2 + 0 + u. Let v(g) = -20 - 2 + 7 - 9*g + 6 - 3*g. Determine l*v(y) - 9*j(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/14)\/(2\/4). Suppose -30 = -3*s - t. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/56)\/(6\/(-7))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = 4*a. Suppose 0 = -7*r + a*r. Let y(o) = -o - o + o + r. Determine y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*a - 1566 = -11*a. Solve 109*m + a = 112*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 + -58 + 1 + 2175 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 110 + 50)*(-n - 2*n + 2*n)*(-3 + 1 + 0).\nAnswer: 406*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45219, -44925, -44507, -43905, -43059, -41909, -40395?\nAnswer: -38457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23936516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 147.3486ng?\nAnswer: 0.0000001473486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 2*b)*(-4*b - 5 + 2 - 1).\nAnswer: -8*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*t - 92*t = 476. Let k be ((-2)\/t)\/((-48)\/(-224)). Let l = 55 + -163\/3. What is the second smallest value in -0.02, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*m + 14*m - 5*m to w*m + t and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-26)\/(-16)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 + -0.3. Let s = f + -1.2. What is the closest to 0 in 0.4, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 395. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3174, 18329, 33484, 48639?\nAnswer: 63794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u - 6. Let q(m) = m + 1. Let x(k) = -c(k) - 5*q(k). Let s = -3 + 3. What is the units digit of x(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*-1*2\/(-3). Let o be 12*(-1 + (-14)\/f). Calculate the remainder when (-28)\/(-6)*o\/28 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 10 = 41*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-10)\/918 - 3\/51\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/20 and -99\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/(-42))\/((-8)\/(-3)))\/(27*5\/(-420)).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/30 - r**4\/24 - r**3\/3 - 3*r. Let n(x) be the second derivative of p(x). Differentiate n(z) with respect to z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 804 - l - l**2 + 155 - 2826 - 804 to q*l + b*l**2 + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 107.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 520*l**5 - 743*l**5 + 1695*l**3 + 220*l**5 + (0*l**2 + 0*l**2 + 2*l**5)*(3 - 1 - 1).\nAnswer: -l**5 + 1695*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111249525*h**4*z**2 - 182314*h**2*z**2 + 97*h*z**2 wrt h?\nAnswer: 2669988600*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 1429166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 - 29 = -5*u, -2*u + 5*g + 33 = 0. Solve 2*x = 5*t + 13, u*t - x + 2*x = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2\/14161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 220731.4 millennia?\nAnswer: 2207314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/19)\/i*i*i)*i\/i**(7\/2))\/(i**(-34)*i**(-11\/4)) assuming i is positive.\nAnswer: i**(2607\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 6:57 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 711 = 3*v, 6*p - 4*p + 5*v - 502 = 0. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 1\/6*j**3 + 5\/2*j - 3\/2*j**2 + 35. Factor f(b).\nAnswer: (b - 5)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/(-45)*(-3)\/(18\/15). Let o be (-1*r\/6)\/(8\/(-16)). Solve 3*a = 7 - o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 21*s - 6. Suppose 2*p + 30 = 2*q - 7*q, 4*p + 84 = 2*q. Let z be u(p). Let j = z + -10. Calculate the lowest common multiple of j and 39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -210. Let f = m + 215. Solve -5*l - f*k - 6 = 2, -l + 5*k = 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.36 + -3.360042. Round q to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 160?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3550490 is divided by 375?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 14 = 6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/12 - q**3\/3 - 3*q**2\/2 - 4*q + 1. Determine p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -12.2?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6120 divided by -72.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 234890.38 times 3?\nAnswer: 704671.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:59 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 8814.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*b + 39*b - 106*b - 3 + 35*b - 9*b**4 - 2*b**3 - 3*b**2 to the form s*b + f*b**3 + v + o*b**2 + p*b**4 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3955, 7917, 11889, 15877, 19887, 23925?\n\"Answer: r**3 - r**2 + 3958*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 + 37*f - 25. Let i be g(6). Suppose -2*c - 10 = 2*y, -y - 50*c = -i*c - 11. Which is greater: 6\/41 or y?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -74\/3 (b) 0.2 (c) -1 (d) 1 (e) -4 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5 - ((-71)\/2)\/(8\/4032)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqiqqqqi?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 5\/4*v**4 + 3 + 8\/5*v**5 + 1\/3*v**3 + 2\/3*v**6 + 0*v**2 + 0*v. Suppose t(p) = 0. What is p?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 6*p**2 - 29*p - 16. Let k be l(-9). Suppose 0*w - 2*w = -5*c - 563, 572 = k*w + 4*c. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -34\/3, -2, -198540\/7 in descending order.\nAnswer: -0.3, -2, -34\/3, -198540\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 286099513.744.\nAnswer: 286099513.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**42\/(t**1*t**(-3)))\/(t*t**(-2)\/t*t**(-4\/7)*t*t*(t*t\/(t\/(t*t**(-2))*t)*t)**(5\/2)) assuming t is positive.\nAnswer: t**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4)\/10)*(-48)\/(-120).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17150 and 574?\nAnswer: 703150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 2*k - 7. Suppose -60 = -45*v + 57*v. Give z(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -15 + 36. Find the third derivative of d*b**2 - b**6 - b**6 - 3*b**6 + 3*b**2 wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9, -2\/5, 8, -0.05, -0.1, -1.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/210*5*((-45)\/(-12) + 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:52 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13381.5 * -55.\nAnswer: 735982.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5703226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 y when four letters picked without replacement from {e: 6, u: 4, y: 2}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**5 + 1800*d**4 - 9095*d**3 + 10970*d**2 + 7260*d - 14600 = 0. What is d?\nAnswer: -365, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 543, 1106, 1899, 2928?\nAnswer: 4199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1822635713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70705 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 976*-258\nAnswer: -251808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -1496 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 + 1014*t - 70982. What is f(239)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r + 212. Calculate w(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1359*m - 642*m + 2526*m.\nAnswer: 525*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -14.\nAnswer: -14, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 110061*1.39\nAnswer: 152984.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w = -6. Let a be w*(2 - 6\/(-4)). Let h be 561\/77 - (-2)\/a. Are 7 and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-5)))\/(j*j**5*j*j))\/((j*j**(-1)*j)\/((j*j**(-27))\/j)))**40 assuming j is positive.\nAnswer: j**(-1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 + -5) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + 11?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 773294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -10*c + 567. Which is greater: 82 or c?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42177213 and 7.7.\nAnswer: 42177220.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-4)\/3 - 1515\/45. Calculate the lowest common multiple of 20 and (-16)\/(-2)*t\/(-17).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3 - 120968*x**2 - 362852*x + 483824 = 0.\nAnswer: -30239, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -40\/73 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-4) + 3\/(-24)*4. Let i be (-3 - 4) + f - -5. Solve i - 15 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 3. Let y be x(2). Solve -4*l - y + 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4294 and -23\/1808.\nAnswer: 34352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 3*h - 3*h - 2*h - 2*h + h - 1 - 22*h + 10*h + 18*h + 1 - 1 + h + 5*h - 3*h - 3*h + (2 + 4 - 4)*(1 - 1 - 2*h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 23 + 2 + 135 + (-653 - -628).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115 - 100) + -48 + 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207123545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 12*h. Let s(g) be the third derivative of h + 1\/24*g**4 + 0*g**5 + 2*g**2 + 0*g + 0*g**3 - 1\/120*g**6. Factor s(x).\nAnswer: -x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 4*z + 16. Let q be o(6). Suppose -q*k - 10985 = -2*y - k, -y + 2*k = -5490. Round y to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/6*(-90)\/(-12). Let l = 40 + f. What is the highest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -1117?\nAnswer: -110b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439095 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -902397, -1804769, -2707141?\nAnswer: -3609513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 860.521 to the nearest ten.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029 + -2014550.94?\nAnswer: -2014550.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.74 - 0.26. Suppose 9 = -3*f + 3. Let o be 4\/(-6)*(-1)\/f. Which is the second biggest value? (a) -10 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(12*c + 13*c - 8*c)*(0*c + 0*c - c).\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21632307*p**4 - 190*p**2 - 22802?\nAnswer: -519175368*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 12*h)*(-2*h + 3*h + 2*h - h**3 - 19 + (-7 + 7 - 4*h)*(-3*h**2 - 2*h**2 + 7*h**2) + 0*h**3 + 0*h**3 - h**3).\nAnswer: 120*h**4 - 36*h**2 + 228*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:04 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24*119\/1120*2*(-6)\/(-3)\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*0.4893.\nAnswer: 31.3152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19525\/75 + 24\/(-18). Is 251 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 46. Let z(j) = j - 12. Let p be z(3). Let w = p - u. What is the least common multiple of w and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7)\/(16\/(-112)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 1\/93 (c) 7 (d) 1\/6 (e) -5 (f) 9.66 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94524302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 23 = 76. Let w = -31 + g. Solve w*c = 9 + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -124*k + 987. Let t be n(8). Sort -264, t, -4, 5 in decreasing order.\nAnswer: 5, -4, t, -264","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 219*m = 216*m + 15787, -5*m = 4*o - 12640. What is the highest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 + o + 5 + 2*o**3 - 6 + 14 + o**2 to k + j*o**2 + h*o**3 + v*o**4 + m*o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -174, -514, -1020, -1698, -2554?\n\"Answer: -c**3 - 77*c**2 - 102*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a microgram in nanograms?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1639, -4 in descending order.\nAnswer: -3, -4, -1639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -46342 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0*w**2 + 4*w**2 + (-w + 2 - 2)*(-w - w + 3*w) + (-4*w**2 + 2*w**2 + 0*w**2)*(-1 - 1 - 5))*(w + 5*w - 3*w)*(-39 + 14 - 20).\nAnswer: -2160*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 + 10100101001?\nAnswer: 10011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5784 is divided by 920?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - 3*x**2 + 4*x - 9. Let l(z) = -3*z**3 - 2*z**2 + 5*z - 8. Let r(g) = 6*l(g) - 4*q(g). Find b, given that r(b) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gigniwiin. Give prob of picking 2 n, 1 i, and 1 g.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/48*1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 11*z = -42. Let n be 1 + -1 + 2 + 0. Solve -z = n*i + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from {z: 1, r: 2, c: 6, s: 4, a: 2, t: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(-66*o**2 - 88*o**2 + 55*o**2) + 2*o**2 - o**2 + 2*o**2 to g*o**2 + u*o + f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - u + 2*q + 26 = 0, 3*u + 46*u + 129*q - 261 = 131*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1541 = 24*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3581147 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:40 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153082048*l**3 - 386899722 wrt l.\nAnswer: -459246144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -5 (c) 0.5 (d) -244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*(h**2\/h)\/h)\/h**30*(h\/h**(2\/15)*h*h*h\/((((h\/(h\/(h**(1\/4)\/h)))\/h)\/h)\/h*h*h)*h*h)\/(((h**(-4)\/h)\/h)\/h**(-2\/5)) assuming h is positive.\nAnswer: h**(-767\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -16\/184901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17251 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -17*g + 83. Let q be i(5). Let m be (-15)\/(-6)*q - (-16)\/2. Solve -4*t + 2*l = 22, -m*t + 5*l - 7 = 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-4)*(-8)\/12. Suppose y*q = 3*n + 6, 3 = 4*q - 3*n - 3. Solve q = 3*u + u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1238?\nAnswer: -3\/1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + o = -238. Let i(t) = -t**3 + 34*t**2 - 2*t + 70. Let l be i(o). Solve 2*j + z - 10 = -z, 5*j - 11 = l*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -98.14. Let n = -1.859883 - u. Round n to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:58 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18410415, 36820830, 55231245, 73641660, 92052075, 110462490?\n\"Answer: 18410415*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.371816 and 0.5.\nAnswer: 0.185908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:25 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 305 = -5*v, 2*v - 133 = -2*z - 31. Let c = z + -44. Calculate the remainder when 34 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12216, 16906, 21598, 26292, 30988, 35686?\nAnswer: 40386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 0 - 16\/(-2). Let q = w - 1. Let h = -7 - -16. Calculate the remainder when h is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 58. Suppose 0 = 3*q + 3*l - k, q + 8*l = 3*l - 18. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 117625, 235669, 353713, 471757?\n\"Answer: 118044*p - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(1\/2)*r))\/r)**(-11\/5))**(18\/7) assuming r is positive.\nAnswer: r**(297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuz when three letters picked without replacement from {r: 2, z: 1, x: 6, u: 3, l: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -24 - 51. Let q be (-14)\/h - 6\/(-9). Which is bigger: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - f)*(2 - 2 - 2*f**3) + 0 + 0 - f**4 + (f + 4*f - 3*f)*(-f**3 + 0 + 0).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 10 = 9*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 4*v + 0*v)*(2*v + v + 0*v) - 2*v**2 + 22*v**2 + 3*v**2 as b*v**2 + t + z*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 3. What is i(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.9 (b) -4.65 (c) -3331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 389610 = -389618, -2*b + 12 + 4 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 350111 (base 7) in base 6?\nAnswer: 1201135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 282519 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/20 - 11*t**4\/12 - t**3\/6 + 13*t**2\/2 + 2*t. Let p be d(11). Solve -3 + 7 = p*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -27. Let n(b) = -2*b + 3. Let x be n(2). Sort x, -5, k in descending order.\nAnswer: k, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.47 + 3.77. Let l = g - 3. Let u = -16 - -21. What is the closest to 2\/7 in -0.4, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 7*v**2 - 3*v**2 + 6*v**2)*(614 + 237 - 215) as i*v + h + r*v**2 and give h.\nAnswer: 3180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 90733 = -41*z. List the prime factors of z.\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8 + (55\/(-140) - 0)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6389 - 6244. What is the highest common divisor of y and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -31. Let s = z + 3.9. Let m = -3.4 + s. What is the biggest value in 3, 0, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 + (3 - 3))*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11055 at least 11055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 110526209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170400 and 2000.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/186408 and 37\/4473792.\nAnswer: 4473792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(468).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)*-1)\/sqrt(8))**2 + -4 + 4*(0 + sqrt(343) - sqrt(343) - sqrt(343))*-4.\nAnswer: 24 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f - 4*b - 12 = 0, 3*f - 4 = -2*b. Let z(g) = g + 3. Let j be z(-3). Suppose j = f*m - 10 - 4. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0 + 0)*(126*d**2 + 66*d**2 + 0*d**2 + 361*d**2).\nAnswer: -1106*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19754)\/170 - -116)\/(3 - (53\/5 + 0)).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -558*r + 65. Is c(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11133301203 - -100?\nAnswer: -11133301103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044386685 rounded to six decimal places?\nAnswer: 0.000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4 - 11910*b**3 - 178011*b**2 - 142296*b + 332220 = 0.\nAnswer: -3955, -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 18802*r\/3 - 12536.\nAnswer: (r - 2)*(r + 18804)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Suppose 0 = -2*g + 3 + l. Suppose -k + 9 = g*k. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = 103*y - 4*k - 8, 12 = -5*y - k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 961 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 111*y + 997. Calculate u(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5940000 to the nearest 100000.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, d: 2, v: 1}. What is prob of picking 1 d and 1 l?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.27379 to one decimal place.\nAnswer: 31.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 + (-4 - -6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 12907740867*m + 4*m**2 + 12907740867*m - 7*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 4924)*48\/(-64). Let q = n + -11982. Is q\/(-18)*(-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (630\/(-1925))\/(9\/(-99))\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 706470320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 1 - 10*r + 8*r + r - r - r + (2 + 2 - 2)*(0 + 0 + 2*r) - 3*r + 7*r - 2*r + r + 2 - 2 - 3 + 3 - r + (-4 + 6 - 3)*(0*r + 0*r - r).\nAnswer: 4*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 32*a - 25*a + 24*a to the form u*a**3 + x + f*a + t*a**2 and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 61\/3 of a day?\nAnswer: 29280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5\/7 - 844*f**4\/7 + 44932*f**3\/7 - 6060*f**2 - 12600*f = 0.\nAnswer: -1, 0, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 times 0.04?\nAnswer: 5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 5*c + 6. Give v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -1\/3*m**3 - 1\/12*m**4 + 0 + 183*m - 3\/2*m**2. Suppose -4*w + 3*l = -4, 9 = -4*l - 7. Determine r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 + 5198406*h + 2251952078403 = 0.\nAnswer: -866401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 105\/165*4\/14\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -63*z**3 - 3*z**2 + 1. Is l(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 289 or -1?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_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: What is the third smallest value in -0.01, 19\/40, -1\/4?\nAnswer: 19\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39240 and 1635?\nAnswer: 39240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 25. Suppose -2*c = -2*s - 14, -c = -5*c + 2*s + 22. Let l(v) = -v - 1. Let d(u) = c*l(u) - i(u). What is d(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11552 + 2641?\nAnswer: -5611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 213.\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2046436?\nAnswer: 2, 7, 53, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2*b + 0*b)*(-2629 - 2306 + 672 + 21 - 9 - 690).\nAnswer: 24705*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 3:09 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -22. Let r(x) = -2*x + 25. Let f be r(d). Let l(q) = -3*q**3 + 7*q**2 - 3*q. Let i(g) = -g**3 + 3*g**2 - g. Give f*i(p) - 3*l(p).\nAnswer: 2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(2) + 4 - -5*sqrt(2)*1)**2.\nAnswer: 48*sqrt(2) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 4*z - 22 = q + 3*z, 111*q - 50 = 5*z + 308 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 325 (base 14) to base 15\nAnswer: 2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:28 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539 (base 11) in base 6?\nAnswer: 13054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10948*j + 4*y = -10950*j + 22, -5 = -3*j + y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 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 -5, 5, 2\/73, 2796, -4, -0.5, 1\/3?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2394 and 510804.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**2. Let d(u) be the third derivative of -u**5\/30 + 3*u**2. Calculate q(d(r)).\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvlvvnvvy. Give prob of sequence vvl.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2383, 2086, 1789, 1492, 1195?\n\"Answer: -297*d + 2680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -279, -1207, -2789, -5031, -7939, -11519, -15777, -20719?\n\"Answer: -y**3 - 321*y**2 + 42*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4262*w + 3760 with respect to w.\nAnswer: -4262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a factor of 1993808128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 18 = -5*a, -9 = -a + 4*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 9. Let o be t(-7). Suppose 2*c = -o*w + c + 1, -5*w - 2*c + 5 = 0. Calculate the remainder when 23 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7856990881.\nAnswer: 337, 23314513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 98 + g**3 + 133 - 2*g - 345 in the form s + t*g**3 + h*g + k*g**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 618891 and 3549.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - 30*d**2 - 64*d - 21. Let c be f(-13). Calculate the highest common divisor of c and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78263*h**5 - 566*h**2 + h + 6 wrt h?\nAnswer: 4695780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 54, 144, 270?\n\"Answer: 18*s**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*r = 4*t + 237*r + 35, -5*r = -26*t - 285 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 152*m**3 + 5*m**2 - 9*m + 5. Let u(b) = 761*b**3 + 25*b**2 - 42*b + 24. Calculate -14*d(k) + 3*u(k).\nAnswer: 155*k**3 + 5*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 4, y: 1, x: 2, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20776\/2691 - -26\/207. Let t = q + -467\/91. Let b = 85\/21 - t. Which is smaller: b or 9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 6. Let z(n) = -12 + 25 - 3571*n + 3566*n. What is -14*l(i) + 6*z(i)?\nAnswer: -2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 4807, 2 in decreasing order.\nAnswer: 4807, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2 = -4*z, 4*f = -3*z + 4*z + 10. Let i be (f\/1 - 0) + -2. Solve a - s + 1 = i, 4*a + 0*s + 3 = 3*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 186974.5918 to the nearest one thousand.\nAnswer: 187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1546501684786.58 + -1546500269722.40000034. Let u = 1415064 - t. Let o = u + 0.18. What is o rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 29 = -315. Suppose 0 = -6*y + 2*y + 36. Suppose -a + y = -27. What is the remainder when a is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 93062 less than -0.06?\nAnswer: -93062.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12391267?\nAnswer: 7, 43, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 9*g**2 + 2. Suppose 0 = -k + 5*h + 6, -3*k - 457 = 2*h - 424. Calculate z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 836, 7104, 24096, 57170, 111684, 192996, 306464, 457446?\n\"Answer: 893*g**3 + 4*g**2 + 5*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -22230203330?\nAnswer: 22230203330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1082*l - 1044*l**2 - 838*l - 43*l**3 - 439 - 62*l**3 + 705 - 3*l**4 + 2806 = 0. What is l?\nAnswer: -16, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 39*c - 44. Let n(t) = t - 1. Let h be n(7). Let k be z(h). Let m = k + -84. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*z - 2*z. Solve 2*o = -0*o - z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -19, -4 in descending order.\nAnswer: 6, 1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d - 15. Let n(u) = 25*u + 53. Let h(q) = -7*c(q) - 2*n(q). Let y = -8 + 12. Let i(o) = -7*o - 4. Calculate y*h(k) - i(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1 - 35\/(-21)*1. Sort -1, z, 2\/5.\nAnswer: -1, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4432524 divided by -1477508\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 127849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177*s**4 - 763*s**4 - 275*s**4 + (2*s - 2*s + 3*s)*(2*s**3 - s + s))*(3 + 4 - 5).\nAnswer: -1710*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + (sqrt(27) - (sqrt(135)*-1)\/sqrt(5)) - (sqrt(27) + sqrt(324)\/(sqrt(48)\/sqrt(4))))\/(-6*3*sqrt(36)\/sqrt(4))*6.\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112414456, -112414457, -112414458, -112414459, -112414460, -112414461?\nAnswer: -112414462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.8 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from rysslszzrlvs?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 2 - 2 + (-w + 2 - 2)*(4 + 4 - 6) + (24*w + 15*w - 16*w)*(2 - 1 - 2).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -363, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 28*h + 21*h + 0*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -105*-476.46\nAnswer: 50028.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4\/5 + 3*p**3\/5 + 3*p**2 + 9*p\/5 = 0. What is p?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 - 3*o - 6. Let p(k) = -3*k**2 - k - 3. Calculate -5*p(x) + 2*w(x).\nAnswer: x**2 - x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 521032663?\nAnswer: -521032640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16547309300493\/10997 - 1504711219. Let d = m + -2\/1571. Factor 24\/7 - 2\/7*j**3 - 2\/7*j**2 + d*j.\nAnswer: -2*(j - 3)*(j + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4346, -8735, -13124?\n\"Answer: -4389*l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (250\/15*-1)\/((-4)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -286 - 113 - 19 - 147 - 2*j - 86 as m + t*j and give m.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3 + (1 - 1 - 1)*(-6 + 13 - 3))*(-c - 2*c + 0*c - 2) to m*c + s and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**3*j)**(-4\/11) assuming j is positive.\nAnswer: j**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(3*t**4 - 2*t**4 - 4*t**4) + 220 + 113*t**4 - 220.\nAnswer: 116*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 313, 709, 1263?\nAnswer: 1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/9570 and -44\/435.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1904 - 1185. Is x a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4794 and 2754?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (42\/8 - 1). Let g(a) = -2*a**2 + 2*a - 1. Let m be g(1). Which is bigger: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 2. Let i be l(-4). Let g(u) = 2*u**2 + 10*u + 9. Let n be g(i). Let m = -48286 - -48349. Calculate the highest common divisor of n and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231332 (base 4) in base 13?\nAnswer: 50b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4484?\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s. Let c(b) = -50*b + 60. Let z(v) = 51*v - 40. Let m(x) = -2*c(x) - 3*z(x). Give m(w(p)).\nAnswer: -318*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 3. Let d(w) = w**3 + 2*w**2 + 4*w + 2. Let l be d(-2). What is the tens digit of r(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, i: 3, o: 5, w: 2, a: 1, y: 1}. What is prob of picking 2 w and 2 o?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*m**3 - 115*m**3 + 217*m**3 + (2*m + 2*m - 2*m)*(3*m**2 - m**2 - 3*m**2).\nAnswer: 162*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -108 + 100. Does 18 divide 2\/((18\/(-516))\/(6\/d))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 4 - u - 2*u**3 - u**3 + 5 + u**2. Let f = 8 + -11. Let v be t(f). Calculate the greatest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -18. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -20*f + 26*f. Solve 0 = -2*i + 3*k - 4, -i - 2*k + f = -0*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 28 + 3 = 0. Let z(y) be the first derivative of 4*y**3\/3 + 11*y**2\/2 - y + 5. List the prime factors of z(k).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 42*x**3 + 6 + 5*x**2 - 32*x**3 in the form w + a*x + h*x**2 + b*x**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22515571 = -5*m - 3725486. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((40\/32)\/5)\/((-1)\/(-4)). Let d be ((1 - k) + -2)*12\/24. Let g be 2\/(-2) - 14\/(-18). Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 38 = -d, 3*d = 5*n - 127 + 33. Let u(p) = 3*p - 6. Let r be u(3). What is the remainder when -1 + (r - -35 - -2) is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7278 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.63664 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -27. Let n = c - 77. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 160*d + 658*d - 5 - 19*d.\nAnswer: 479*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2902 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*q = 7*q + 7316562. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrghkk. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 4*x**2 - 6*x - 4. Let i be z(5). Let w be i\/(-4) + (-1)\/4. Let u = -319 + 325. Solve -w*a - u = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12*h - 630 = 0. Let o be ((-4)\/5)\/(h\/(-15) + 3). Sort -1, 5, o.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p. Let v(b) = -b - 5. Let c(f) = -104*f - 80. Let j(o) = c(o) - 16*v(o). Calculate d(j(m)).\nAnswer: 264*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 - (-28)\/6. Suppose -3*z - m*z + 84 = 0. Suppose 7*a - z*a = 35500000. Round a to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27663766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 14 = 2*q, -2*d - 10 = -4*q + 2. Let j be 30\/7 - d\/(-14). Let a be 3\/1 + -3 + 1 - 1. Solve -j = r - a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5276 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 217*u + 18 - 33.\nAnswer: -217*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from {n: 8, s: 6, t: 1, b: 1, a: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 10*j**2 + 7*j - 6. Let y(q) = -q**3 - 11*q**2 + 7*q - 6. Let k(s) = 4*w(s) - 3*y(s). Let x = -5 + -3. What is the units digit of k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*m - 2*m = 142, 2*n - 2*m = 150. Calculate the remainder when 146 is divided by n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 27*n - 101. Let b be p(23). What is the common denominator of (-29)\/b*((-84)\/(-80))\/7 and -1\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3*h - 4*h)*(74*h + 3857 - 3857)*(-1 + 2 - 3 + (-1 + 3 - 4)*(1 - 3 + 0) + (2 - 3 + 2)*(3 + 0 - 4) + 2 - 5 + 2 + 2 + 5 - 5 + 0 + 0 - 1).\nAnswer: -444*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(567)))**2*-5.\nAnswer: -102780 - 6480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 4*y**2 + y - 4. Let o be z(3). Let r be 66\/o + ((-6)\/8)\/3. Solve 0 = -3*i - r + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1372 = -z, 4*i + z = 4*z + 5453. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15316.\nAnswer: 2, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 8*m**2 + m. What is y(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -621.774 + -1.226. Let r = -622.800005 - x. Let y = -0.2 + r. What is y rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13544 and 44419241?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-12) - (-103076)\/16)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -512248 by -47.\nAnswer: 512248\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 885*z**2 + 261075*z + 25672375.\nAnswer: (z + 295)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4776 and 80?\nAnswer: 47760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -722*j**5\/3 + 232636*j**4\/3 - 7455950*j**3\/3 - 6078260*j**2\/3 + 1526392*j\/3 - 84656\/3 = 0. What is j?\nAnswer: -1, 2\/19, 37, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let u(i) = 1061282185*i. Calculate u(d(q)).\nAnswer: -1061282185*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 6) in base 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -457, -1733, -3859, -6835, -10661, -15337?\n\"Answer: -425*m**2 - m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 150, 128, 104, 78, 50, 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-21)*(-4)\/(60\/(-9)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 5*t**2 - 4*t - 1. Give s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccss when four letters picked without replacement from ccpcpascscc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35671617*y**4 + 274428633*y**2?\nAnswer: -856118808*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*b + 10*b. Suppose l - 4*g + 20 = -b*l, -2*g + 10 = -4*l. Suppose q + l = 12. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-1 + 1 - 11*b**2 + (0 + 0 - 1)*(-12*b**2 - 16*b + 16*b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 - 6. Let w be (5 + -2)*(3 - 0). Suppose c + 7 - w = 0. Let l(b) = -16*b**c + 11 - 13*b**2 + 36*b**2. Give 5*k(q) + 3*l(q).\nAnswer: q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21516591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 91000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b = 29*b + 276 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/35))**(3\/5) assuming n is positive.\nAnswer: n**(-6\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8*i + 26920 = m, 2*i + 107626 = 4*m. List the prime factors of m.\nAnswer: 5, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 - 5 - 1 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + 14*d - 13. Calculate y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562474616 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*c**3 + 3*c + 80*c**3 - 3*c.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70613 + 3?\nAnswer: -70610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 13 = 5*k, 4*k - 2*m - 13 = -1. Suppose -2*g - 10 = 0, k*p - 6*g = -g + 45. Suppose 0 = -5*r + 16 + p. Put -5, r, 3 in increasing order.\nAnswer: -5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -80*n - 587. What is z(-8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvtwtwwwtwattt. Give prob of sequence tv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3\/7 + 3642644*x**2\/7 + 7285276*x\/7 + 3642636\/7 = 0 for x.\nAnswer: -910659, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -6) + 25 + -33 + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.12.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 41, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Suppose 0 = -3*f - 18, -115*x = -112*x - 8*f - 57. Solve h*l - x*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0 - 1\/75*a**6 + 7\/15*a**4 + 6*a + 3\/5*a**2 - 11\/15*a**3 - 3\/25*a**5 + 1\/105*a**7. Factor k(j).\nAnswer: 2*(j - 1)**4*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.74 and 49.49.\nAnswer: 48.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6413*d + 64164. Give y(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-12) - 3)\/((-1)\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 5*j = 21. Let d be 3*((-20)\/15 + j). Suppose -3*o = 7*o - 200. What is the highest common divisor of o and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 639\/7 - (-8)\/(-28). Let b = j - 47. Calculate the greatest common factor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 6\/19 (c) 0 (d) -1\/406\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -17, 23, 2 in descending order.\nAnswer: 57, 23, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -216?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144415625 is divided by 1931.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2933780 is divided by 975.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - 3*d)*(-159 + 4*d + 160 - 3*d).\nAnswer: -3*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*v**3 - 13964*v**2 + 1732000*v + 2250000.\nAnswer: 4*(v - 250)**2*(7*v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0448 + 115.2448. Let j = s + -115. Let w = 179\/1692 - -1\/188. Which is the fourth biggest value? (a) 3 (b) j (c) 4\/3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156049?\nAnswer: 29, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(((-158)\/(-948))\/(((-4)\/6)\/2))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 5*u = 360. Solve 16*a = u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*v - 9. Let m(w) = -w**3 + 4*w**2 - 3*w. Let j be m(3). Let t = v - j. What is the remainder when 5 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 7. Let r(q) = -2*q**2 - 10*q + 5. Let w(t) = -62 + 113 - 57 + 12*t + 2*t**2. Let a(x) = -6*r(x) - 5*w(x). What is a(s(d))?\nAnswer: 8*d**4 + 56*d**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*((6*sqrt(99)\/sqrt(3))\/(-1*sqrt(27)) + 0).\nAnswer: 2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2212 + 6 + 5 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33067 + 33083. What is the lowest common multiple of o and (1\/(-2))\/(1\/(-4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 4*v - 6*m, 3*v - 378*m - 288 = -381*m. Suppose 6*b - 43 = -l + b, 122 = 4*l - 5*b. Calculate the remainder when v is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.18126 and -158?\nAnswer: 157.81874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11522\/9 + (931\/63 - 15) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 - (396 - 411)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y - 7 = -335 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090691523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49821 + 48729 = -84*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = a + 2*a - 5*v, 0 = 2*a + v - 19. Let b be (-2)\/(a\/10)*6. Let g = b - -25. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 7*r + 53 + 25*r + 60 - 36*r - 191.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -400, -1097, -2388, -4471, -7544, -11805, -17452?\n\"Answer: -33*q**3 - 70*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13039989 is divided by 4346663.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*q + 5*i, q = -2*q + 5*i + 6. Let u(x) = 10 + x**q + 4*x - 9 + 0*x**2. Give u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 192*b**2 - 555*b + 366.\nAnswer: -3*(b - 61)*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 887.42 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 24\/37?\nAnswer: 24\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -133767.43 * 0.5\nAnswer: -66883.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 1 + -9)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 15*l + 5. Give r(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -1 - (-3 - (17 - 20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3376095809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -208 (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 18*y + 24. Let h be k(19). Suppose 0 = -2*p - 3*c + 23, h*p = 5*c + 21 - 1. What is the greatest common factor of p and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2007, -4210, -6425, -8652?\nAnswer: -10891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9399 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 4*a + 5. Let o be b(4). Suppose 55 = 2*i - 3*y, o*y - 60 = -2*i + i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.91 - 1?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 342 = -6*m - 49*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 7. Let i be -3 - o - 201687\/16. Let r = 12611 + i. Find the common denominator of r and 61\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 23 = -3*m + 7, 4*m - 3*c = 19. Let w = m + -5. Suppose -j + 0 - 3 = 0. Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + h = 2*h + 6, -5*b = 3*h - 30. Let x = -4 + b. What is the third derivative of -x*j**3 + j**4 + 16*j**2 + 2*j**3 - 13*j**2 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604*-0.4.\nAnswer: 241.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14708 + 7370 + 7354 + 19*j.\nAnswer: 19*j + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m**2 + 37. Is 3 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/63*6\/(-4))\/(12 + -2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -348*f**2 - 444 wrt f?\nAnswer: -696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.7 and 49.\nAnswer: 50.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 1176046323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461340240?\nAnswer: 2, 3, 5, 857, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5 - 1 + s**2 - 3. Let a be h(2). Suppose 0 = -5*u + 15, 0 = 4*q - a*u + 2 + 1. What is the biggest value in q, -5, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10062 and 6318.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 1:59 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -7, 4, 25?\n\"Answer: 5*x**2 - 14*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - p - 3*p = 136, b + 2*p = 31. Let j = b - 31. What is the third derivative of 3*f**2 + j*f**2 - 4*f**2 + f**2 + 4*f**3 wrt f?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477 divided by -477.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98429 = 5975*n + 59825 + 298837 + 361167 for n.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192577, -192677, -192787, -192913, -193061, -193237?\nAnswer: -193447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*k = 1326 + 442 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232492970 rounded to the nearest one hundred thousand?\nAnswer: 232500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 500*f**2 - 1223*f wrt f.\nAnswer: 1000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64129 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88412 and 98022?\nAnswer: 4509012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37324209, 5, -3.\nAnswer: -3, 5, 37324209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 541433038 to the power of 1\/3, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23866 is divided by 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(3\/(-2))\/1. Let x(v) = v**3 + 5*v**2 + 4*v + 4. What are the prime factors of x(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 4*s**2 + 5*s - 2. Let r be k(3). Solve 6*u - r*u = 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64252224 a multiple of 2888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 8*n**2 + 2*n + 18. Let v be o(-8). Suppose 4*j + 176 = 6*j + v*s, 0 = -2*j - 3*s + 175. List the prime factors of j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/17, -0.04, 4\/225 in increasing order.\nAnswer: -2\/17, -0.04, 4\/225, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**3 + 104*h**2 + 445*h + 605. Let k(y) = 20*y**3 + 260*y**2 + 1112*y + 1512. Let n(r) = -5*k(r) + 12*t(r). Factor n(u).\nAnswer: -4*(u + 3)*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63300 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 2*v**2 - v + 2. Let h(l) = -l**2 + 8*l + 11. Let g be h(9). Suppose -g*w = -b - b, -2*b = 3*w - 15. Determine a(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1463 and 94\/25665.\nAnswer: 37547895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*g = 3*z + 144, 0 = 1662*g - 1665*g - 5*z - 266 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-5)\/(-5) + 23. Let z be 1*(-6)\/(-8) - 35\/i. Let w(f) = -3*f + 15. Let l(r) = 1. Determine z*w(n) + 15*l(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:56 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -298 (b) -8 (c) 1 (d) -1\/4 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 - 11 - l - 10 + (2*l - l - 2*l)*(0 + 2 + 0) - 5*l + 3*l + 4*l.\nAnswer: -l - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.035 - 0.105. Let q = s - 87.86. Let a = 88.0007 + q. What is a rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*u - 12 + 12 to j*u + t and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*u = 8, 3*o - 4*u - 9 = -2*o. Let i(z) = -1 + 110*z - 10*z**2 - 218*z + 109*z. What is i(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -33 + (0 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*q + 1. Let m(p) = -4*p - 3. Let z(u) = -5*u - 2. Let g(i) = q*z(i) + 4*m(i). Differentiate g(y) with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1613 + -1616. Which is the biggest value? (a) -1\/2 (b) 27 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*s + 936 - 600 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 118425148, 118425143, 118425136, 118425127, 118425116?\n\"Answer: -w**2 - 2*w + 118425151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3532 + -25125541?\nAnswer: -25133513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(20) - 1*sqrt(20))\/sqrt(4) - sqrt(5)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 - -182. Let c(l) = 5*l**3 - 2*l - 3. Let d be c(3). Calculate the greatest common factor of d and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * 4.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0)*(-132 - -134)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14769*w = -14136*w - 4431 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1269 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + sqrt(891) + -2)**2 + 2*(sqrt(539) - 1*sqrt(539)*2)**2)*2.\nAnswer: -216*sqrt(11) + 4010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 5. Let y be -10*(-3)\/(-15)*-4. Calculate the remainder when t(y) is divided by 5 - 0\/3 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -533.687817 to two dps.\nAnswer: -533.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f - 1336723 = -62*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -2 + 50980 - (6 - 8). Is (-9)\/(-24) - p\/(-64) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2776, -1405, 2330, 9611, 21620, 39539?\n\"Answer: 197*i**3 - 8*i - 2965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -3230.138 rounded to the nearest 10?\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + v - 2*v - 8 = 0, -5*k = 2*v + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/4 - 11733*c**2\/2 - 3*c\/4 + 11733\/2 = 0. What is c?\nAnswer: -1, 1, 7822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 241 - 150. What are the prime factors of q?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11165?\nAnswer: 5, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i**3\/11 - 666*i**2\/11 + 3888*i\/11 + 864\/11 = 0 for i.\nAnswer: -3\/14, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*o - 24, 0 = 3*o + 3*f - 4*f - 46. Suppose -y = -6, -10*c + 3*y - 217 = -1359. What is the remainder when c is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 22 = -42, -c = -g - 330. What is the remainder when c is divided by 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 3*o**5\/5 - 2*o**4\/3 - 14*o**3\/3 - 4*o**2 + 86*o + 2. Solve p(y) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113003 (base 4) in base 11?\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o**2 - o + 1. Let a(r) = 5*r - 282 + r**3 - 8*r**2 + 88 + 94 + 96. Give -a(s) - 4*b(s).\nAnswer: 3*s**3 + 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.26 + 11. Let s = -0.1 - t. What is s rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -231*j - 507. What is the remainder when m(-6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*a - 164*a - 175*a + 837*a - 172*a - 165*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 56 = 4*b. What is the least common multiple of b and 316?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**24*i)\/i)**(1\/3) assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1365, 4993, 11021, 19449?\n\"Answer: 1200*k**2 + 28*k + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from fsssssss.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -86525301.3 to the nearest one hundred thousand.\nAnswer: -86500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1959*o + 3794*o + 3 - 1842*o.\nAnswer: -7*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 989186.7 litres in millilitres?\nAnswer: 989186700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4053166?\nAnswer: 2, 13, 155891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**4 + 222*w**2 + 45*w + 9.\nAnswer: -24*w**2 + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.55 + -6.68. Let k = u + -4.17. What is the closest to k in 2\/19, -5, 2, 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 10132372?\nAnswer: 81058976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + w**2 - 3*w. Let l be j(2). Let b be (l*8\/24)\/((-4)\/6). Let t = -3.08 + 0.08. Put 0.2, -4, t, b in descending order.\nAnswer: 0.2, t, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w + 35*w = -774. Suppose 9*j - w = 3*j. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25058, 50070, 75092, 100130, 125190, 150278?\nAnswer: 175400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-55)\/(-33))\/((-2)\/(-12)). Calculate the highest common divisor of u and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 71.5. Sort j, 0.2, 0.3 in ascending order.\nAnswer: 0.2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6107501 hours?\nAnswer: 2198.70036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*y**2 + 323 - 44*y**2 - 23*y**3 - 25*y**3 + 78*y**3 - y - 26*y**3 wrt y.\nAnswer: 24*y + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*k - 27, 431*k = -3*s + 434*k + 69. What is the nearest to 13 in -5, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 4*c**2 + 0 + 1\/10*c**5 + 4\/105*c**7 + 13\/120*c**6 + 1\/336*c**8 + 0*c**3 + 0*c + 0*c**4. Suppose x(g) = 0. What is g?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 438468.\nAnswer: 4823148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 61682.\nAnswer: 12336.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -143*a - 465. Let d(z) = 90*z + 310. Let y(u) = -8*d(u) - 5*v(u). Give y(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-20))\/3)\/(4\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*x + 3*q, -6*x + 5*x + 3*q + 6 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0.034, 0.1, 33, -0.2, 13?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 49 = 2*j, -j + 0*a - 5*a - 29 = 0. Let r = 139 + j. Suppose i = -4*i + r. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2 - 280*x + 4116 = 0.\nAnswer: -294, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.495 * -43973.\nAnswer: -21766.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*o - 7 - 2 = 0, -2*o + 2 = y. Suppose k = y*b + 4*k - 33, -5*k = -5*b + 50. Calculate the highest common factor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 88?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 17 - 2 = g, -d + 7 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.30435 - -4358.50435. Round z to the nearest 10.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 24*w + 106. Determine h(-16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4486 + 4490. Let n = 0.2 + -1.2. Which is the second smallest value? (a) 3 (b) t (c) 0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -30. Solve -k - 6 = 3*u - 6*k, a*k - 8 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4129 + 4223. What is the highest common divisor of 376 and i?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*h + 8 = -4*h, 3*z = -3*h + 15. Let t = -9 + 30. Suppose -z = -4*o + t. Calculate the lowest common multiple of o and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 41734.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j. Let v(g) = -g. Suppose -2*u + 1 = 3. Let m(r) = u*k(r) + 4*v(r). Let f(d) = -d**2. Calculate m(f(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-3*-5)\/sqrt(8).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2113*h**2 - 10420*h + 1?\nAnswer: 4226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -989 - -989. Let s = -10 + 30. Suppose 0 = 3*g + 4*t - s, -3*g = -5*t - 1 - 1. Sort 2, w, -6, g in decreasing order.\nAnswer: g, 2, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26.78397 (b) 2 (c) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35*96\/5376)\/((-10)\/(-12))*(-272)\/15.\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f**2 + 9*f - 36. What are the prime factors of p(9)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6005374?\nAnswer: 2, 59, 50893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10010?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 11 = -y - 2*y, 2*y + 36 = 3*t. Let c be (0*(1 - 2))\/(-2). Solve j + 4*j + t = c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 5*l + o, 3*l + 0*o - 5*o = 143. Let p be 62 - l - 3\/(-1). Solve -p = -5*x + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 9)*(-191 + 13*i**2 + 191) + (-4*i**2 + 5*i**2 + 2*i**2)*(-3 + 3 + 3).\nAnswer: 74*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 5*l + 20, 4*t - 2 + 0 = -5*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4564 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 101 + 77 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let d(j) be the first derivative of 9*j**2\/2 + 63. Calculate d(r(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83200 and 800?\nAnswer: 83200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-840))\/((-2738)\/444)?\nAnswer: -1\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -781 - -787. Let m(g) = -g**3 + 7*g**2 - 9*g + 12. Give m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Let d(o) = 3906*o**3 + o**2 + o - 4. Let p be d(y). Round p to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-25)*45\/3 - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -126*s - 199. Is q(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llyqlytqzcly. What is prob of picking 1 z, 1 q, 1 y, and 1 t?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482504\/7 at most as big as 211785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76 - -1) + 3605730\/(-47340).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 12. What is the units digit of (-2*x\/(-20))\/((-1)\/84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 4\/7 (c) -7 (d) 0.51 (e) 14 (f) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-34909)\/(-7161) + (-2)\/(-31)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 6, -7.16, 587?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-11152)\/680 - (-32)\/2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 21. Let a be c(-6). Let h = 3 + a. Solve h = -0*m - m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: What is the highest common factor of 2502 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8518 + 790 = -84*r. Solve 42*a + r = 19*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (2 - -5 - 16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1110913*b - 1110913*b - 2121*b**2 as h*b + g*b**2 + j and give g.\nAnswer: -2121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + b = -80 + 510, 5*b + 454 = 2*u. Solve u = -2*n + 33*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + (sqrt(99) + 0)*-4*-2)**2*4.\nAnswer: 25343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/2 + 3*y**4\/2 + 3*y**3 - 13*y**2 + 27*y\/2 - 9\/2.\nAnswer: -(y - 3)*(y - 1)**3*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -19*l - 316. Give d(-27).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13800, -13806, -13816, -13830, -13848?\nAnswer: -13870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01933701095 to five dps.\nAnswer: 0.01934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11544)\/(-30)*(-175)\/(-70). What is the greatest common divisor of 1702 and q?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 520\/(-380)*(-17)\/102. What is the fourth biggest value in 1\/6, p, -4, -3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 389 + -339. Calculate the lowest common multiple of 30 and z.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrvkvrrrvvvkrrvrhfv. Give prob of sequence rfk.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3*-3*(-9 - (-114)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -9 - (-2 - 24) - (-19 + 16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -569*q**2 - 614*q**2 + 1208*q**2 - 538*q**2. Let s(b) = b. Calculate s(x(z)).\nAnswer: -513*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 - -6.8.\nAnswer: -139.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k - 3. Suppose i - 3 = -0. Solve r - f - 1 = -r, -i*f = r + k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r. Let b = -2 - 5. What is the units digit of w(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - k - 5*k + (k + k - 3*k)*(4 + 4 - 5) + 3*k + 0*k - 4*k + (k - 5*k + 0*k)*(-7 - 5 + 3) - k + k + k as q*k + m and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/7 - 104*l\/7 - 960\/7 = 0?\nAnswer: -8, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1971, -14757, -49191, -116097, -226299?\n\"Answer: -1804*n**3 - 158*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1432*o**2 - 38*o - 179. Is x(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*a + 5*a + 208*a + (2*a - 3 + 3)*(0 + 2 + 0))*(-5 + 2 + 1) to the form z*a + r and give z.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = -32. Let g = i + 8. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 29*p**3\/6 + p**2\/2 - 3*p. What is the tens digit of n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 2, m: 1, f: 6, c: 5, a: 2}. Give prob of sequence cf.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**3 + 4*i**2 - 3*i + 208. Let r(v) = 18*v**3 - 12*v**2 + 8*v - 623. Let m(c) = -8*f(c) - 3*r(c). Find the first derivative of m(w) wrt w.\nAnswer: -18*w**2 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z - 14. Give v(-9).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z + 3, 3*d = 2*z + 218. List the prime factors of d\/5 - 8\/20.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 + 5.7?\nAnswer: -142.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 580545*a + 1085. Let l be x(-13). What is l rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 624\/(-390) - (-6)\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 14*w**2 + 9*w - 14. What is s(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -99, -2\/17, 4, 1305\/14, 0.4?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/150 + w**4\/30 + 7*w**2. Find r, given that d(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 68*s - 66. Let y be u(1). Factor 1\/4*m**y + 1\/2*m**3 - 1\/4 - 1\/2*m.\nAnswer: (m - 1)*(m + 1)*(2*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -756, -1, -5, 17 in decreasing order.\nAnswer: 17, -1, -5, -756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4914.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26531965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3220 = -2473*h + 2381*h. Solve 4*b + h*b + 273 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*v + 88*v - 4305. Suppose 4*w - 367 - v = 0. What are the prime factors of w?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -16*t**4\/3 + 562*t**3\/3 - 6518*t**2\/3 + 25142*t\/3 - 1014 = 0.\nAnswer: 1\/8, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -927 divided by 103.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6500.27656873 - -6495.29661. Let p = m + 4.98. Round p to 6 dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let y(s) be the first derivative of 5*s**3\/3 + 4. Calculate y(l(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9443 - -70?\nAnswer: -9383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p + 37. Let q be r(7). Find the common denominator of (q\/(-11))\/((-42)\/23 - -2) and -61\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r - 1 - 23 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5260\/2310455*(1*14\/(-4))\/1\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 15*w - 82*w - 13*w + 98*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let o(t) = -1264*t**2. Calculate o(a(u)).\nAnswer: -1264*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/((-5)\/75). Let r(d) = -48799*d**2 - 8 - 7 - 74*d + 76*d. Let i be r(t). What is i rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18204 + 11832*z**2 + 0*z + 0*z - 18204.\nAnswer: 11832*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-15))\/(1716\/(-22)*-7*3\/(-315)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-62)\/(-8))\/((-1)\/(-4)). Let c = m + 4. Suppose -10*s - 5 = c. Let j(k) = 2*k + 4. Let l(t) = -3*t - 3. Give s*l(p) - 3*j(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-5 + (4 - 0)). Suppose 2*s - h*d = s + 33, -71 = -3*s + 5*d. Is (651 - s)*(-1)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00702742491 rounded to 6 dps?\nAnswer: -0.007027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by -581?\nAnswer: 9\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 249334986 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: Suppose -2*y - 3*y + 5*r = -20, -5*y + 8 = -r. Let p(o) = -7 - o - 1 + 7. Let t = 1945 - 1939. Let n(z) = 7*z + 5. Give t*p(j) + y*n(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*o = 5*d - 56, 3*o = 2*d - 52. Let b = d - 23. Let u = 18 - b. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74978 (base 15) in base 5?\nAnswer: 43320023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 394*k - 9436. Let m be t(24). Solve 10*n - 100 = -m for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -29. What is the lowest common multiple of -2*(-4)\/6*3 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + i - 5*s + 25 = 0, -s = -4*i - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*v - 1)*(3*v + v - 16*v) to the form x*v**2 + f*v + s and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 25810613.\nAnswer: -25810619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12*m**4 - 40*m**3 + 4*m**2 + 16*m - 16. Let c(d) = d**4 + 2*d**3 - d + 1. Let p(w) = -16*c(w) - f(w). Factor p(z).\nAnswer: -4*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w. Let f be v(-6). Let h be (-16)\/(-5)*3\/f. Let r = -0.67 - -0.37. Which is the second biggest value? (a) h (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35320411 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*u + 16 = 2*z, -z + u = -13. Calculate the remainder when 26 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/3 + 11683396*m\/3 + 3894466 = 0.\nAnswer: -1, 5841699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -53. What is the fourth biggest value in 2, h, -0.07, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + m**3 - 10*m**3 - 8*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:51 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 335 - 1075\/3. Find the common denominator of j and 5\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**2 - 18 + 18)*(174 - 235 - 225).\nAnswer: 1716*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1208 - -1206. What is the nearest to -24 in p, 0.8, 1\/4, 3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3196 divided by 188?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2. Let j be y(1). Suppose -2*s = 136 - 140. Solve -k + s*o - 3*o = 0, 12 = j*k - o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 836? (a) -3 (b) 1\/2 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412361 is divided by 2074?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 50*b - 5*b**2 - 2*b - 3*b + 95*b**2 + 49*b.\nAnswer: 90*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050)*5 - sqrt(4050))**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(2\/7)))**(5\/6)*x**(-4)\/(x*x*x**4) assuming x is positive.\nAnswer: x**(-215\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 5, -4*g + 5*g = 2*z - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-8\/3)\/g*g*g\/g**(1\/23)*(g**(1\/22)\/g)\/(g**(-5)*g) assuming g is positive.\nAnswer: g**(2027\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14399 and 140497.\nAnswer: 289002329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34342 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.27 - 8.27. Which is the nearest to 1? (a) t (b) 1 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17564.44 rounded to the nearest 100?\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*s + 59*s - 97*s)*(-3 + 3 - 4).\nAnswer: -236*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2\/7 - 3586344*n\/7 + 1607732910792\/7 = 0.\nAnswer: 896586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 10. Suppose 2*d = 0, 3*b + 3*d + 0 = -18. Calculate the smallest common multiple of h(6) and (0 + 8\/b)*-6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -2, 2.\nAnswer: -50, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (-1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/9 and 10\/5727.\nAnswer: 17181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 624 and 384?\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18566462 to the nearest integer?\nAnswer: 4309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - (-11 + 3 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4ba2 (base 12) to base 13\nAnswer: 3bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/4)*z**(2\/19)*z\/(z\/z**(-1))*(z**(1\/2)*z)\/z)**38 assuming z is positive.\nAnswer: z**(-125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0*k - 3*k + 5*k. Let f(g) = -72*g. Let q(c) = 319*c. Let m(b) = 10*f(b) + 2*q(b). Calculate w(m(r)).\nAnswer: -164*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 13*g + 4. Let q(h) = -6*h**2 + 66*h + 18. Let v(r) = -11*c(r) + 2*q(r). Give v(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2548289, -2548292, -2548295, -2548298, -2548301?\nAnswer: -2548304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -62, 3, -13, 1\/5, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.14 take away -5?\nAnswer: 3.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2165455723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**2\/5 + 2088*r\/5 - 61632 = 0.\nAnswer: -642, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7278.6 + 7279. Which is the closest to 7\/11? (a) 2 (b) v (c) 0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17321107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4276 + -2208. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*144100\/54912 - 63?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*z - 20*z. What is the hundreds digit of z + (-2506)\/(-6) - 18\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16612560 and 2052?\nAnswer: 315638640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 296, -0.2, -7\/8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 10. Suppose -7*v + 6*v + 14 = -4*m, 4*m = -5*v - 2. Suppose z*d - 136 = v*d. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 312?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 6*w**2 - w + 8. Let o be g(6). Let j = -5265\/4 + 1301. Calculate the common denominator of (1\/o)\/((-14)\/(-222)) and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, s: 9}. What is prob of sequence sksk?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2532898 is divided by 409?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -268 + 273. Suppose v*z + 13 = 28. What is the remainder when 5 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85270587.7 to the nearest one million.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1105 + 531 - 2*o + 574.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -182 - -184. Solve -4*n = 2*b + n - 22, -a*n + 4 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezzzzzz. What is prob of sequence zz?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmdilil. Give prob of sequence ild.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21*(2\/24)\/(-27*(-36)\/1296)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/15, 1\/3, 0.00548.\nAnswer: -5, 0.00548, 2\/15, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 10:21 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u + 21. Let c be i(-6). Suppose 5*v - 4 - c = j, 57 = 4*j - 3*v. Sort 0, -1, j.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 26\nAnswer: 31\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -87. Let h(w) be the second derivative of w**5\/20 - w**4\/4 - 2*w**3\/3 - 5*w**2\/2 - w. Calculate h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y + 2132886 = 57*y - 13*y. Does 57 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**8\/q)*q*q\/(((q**(-2\/5)*q)\/q)\/q)*(q\/(q\/((q**(-1\/6)\/q)\/q*q)))**6 assuming q is positive.\nAnswer: q**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*6\/180 - 87\/(-18). Let d(x) = x**3 - 4*x**3 - 106 - x**2 - k*x + 111. Let m(w) = 2*w**3 + w**2 + 4*w - 4. Determine -4*d(z) - 5*m(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/101 - 216\/707. What is the second biggest value in i, 4, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 988 + -984. Solve -k - 20 = -b*m, -k - 40 = 2*m - 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*t - 178 = 0, 4*l - 8*l - 787 = 5*t. Which is bigger: l or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-10))\/(4\/20). Suppose -4*i + 165 - 157 = 0. Put -25, i, z in ascending order.\nAnswer: -25, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -32 - (122 + -65)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82000 (base 9) in base 12?\nAnswer: 27276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.55. Let x = k - -0.05. Let s = x + -0.1. What is the biggest value in s, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17, 26, 39, 56, 77?\n\"Answer: 2*o**2 + 3*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t - 4. Let b(n) = -2 - 2*n + 3 + 3*n. What is -6*b(u) - j(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 5*w**3\/3 + 5*w**2\/2 + 3*w - 1. Is x(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d*l*q - 21*d*l - 41*d*q - 25*d - 489*l*q - 839*q wrt d?\nAnswer: 4*l*q - 21*l - 41*q - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50400 and 525?\nAnswer: 50400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-10)*1275\/2975.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 52*d - 338.\nAnswer: -2*(d - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -54, -131, -210, -291?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9837 (base 11) in base 3?\nAnswer: 122211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 12476276\/13 and 959715 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 4*h - 12. Calculate the least common multiple of i(-3) and (-12)\/24 + 33\/2.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -y + 4*t + t, 0 = -y - t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3947258.\nAnswer: 2, 7, 281947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -304813678 != -304813681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36024 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -354.486 times 0.14?\nAnswer: -49.62804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.17 (b) 0.3 (c) -97 (d) 2 (e) -1362\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - h = 2*h + 9, 0 = 4*k - h - 18. Solve -4*z = x + 2 - 22, -x + k = z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 15*a**2 + 17*a - 13. Let p be w(16). Suppose 0 = p*v - v - 1608. Suppose -4*g = 3*n - v, 2*n + 603 = 3*g + 6*n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 40 = 17*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1268606 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -5*(sqrt(11) + sqrt(11) + -2 + sqrt(11)))*5)**2.\nAnswer: -7000*sqrt(11) + 56400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:07 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 1, j: 5, n: 1, b: 2}. What is prob of sequence jfjb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -5)*1 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 827 + 828 = -2*u, 2*u - 4*w - 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + 1*(sqrt(171) + (-1*sqrt(171) - sqrt(171))))**2.\nAnswer: -36*sqrt(19) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:11 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11902*w**2 - 2*w + 11902*w**2 - 121*w**3.\nAnswer: -121*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -142396, -284785, -427172, -569557, -711940, -854321?\n\"Answer: t**2 - 142392*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0*w - w**2 - 1\/4*w**4 + 1\/2*w**3 + 0. Calculate the smallest common multiple of 11 and m(-2).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*c*m*o*p - 16*c*m + c*o*p + 27*m*o*p + 12*m*o wrt c.\nAnswer: 18*m*o*p - 16*m + o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 11) in base 6?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*l - 39, 0*l = 2*h - l - 66. Let r(o) = 48 - 61 - 24 + 4*o**2 - 129*o. Let n be r(33). Calculate the greatest common factor of n and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 8\/589, 0.1, 1\/6, 1\/9?\nAnswer: 8\/589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/60 + l**4\/6 - 2*l**2. Give r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**46*(h\/h**(7\/2))\/(h*h**(1\/6)*h) assuming h is positive.\nAnswer: h**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/44 + (-6)\/(-72).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/91?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**3 - 45*g + 151*g**2 - 2*g**4 - 151*g**2 wrt g?\nAnswer: -24*g**2 - 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 10 + 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367846609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 18. Let v(t) = -5*t**2 - 10. Let x(f) = -5*f**2 - 11. Let w(u) = o*x(u) - 5*v(u). What is the first derivative of w(k) wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 90 and -8.5397.\nAnswer: -768.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1311\/10 - -131. Let t(g) = g**3 + 3*g**2 - g - 2. Let c be t(-3). Let m be (c\/(-12))\/((-2)\/(-4)). What is the biggest value in y, m, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 14, z: 5}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c69 - 1?\nAnswer: -6c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 197*b - 20 + 8 + 4 - 16. Is m(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 15*u - 4. Let m be d(-15). Let c(f) = -5 + f**3 + 4*f + f**2 - 4*f**2 + 12*f**2. Is c(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -5142, -12853, -23654, -37545?\nAnswer: -54526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let p = -8 - -7. Let c(s) = -s. Let d(n) = p*c(n) - 4*j(n). Let w(b) be the second derivative of -b**3\/3 + 2*b + 17. Determine w(d(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) - (-253)\/4. Let c be 0 + 13 - (1 - -3). Calculate the greatest common divisor of c and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, 3, 2\/19, 2\/5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -922963*i + 4614816. Give o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2320 (base 5) to base 6.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 + 167. Let b = -7 - -7.1. What is the closest to 1 in n, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 5. Let a(s) = -503*s**2 + 293*s - 30. Let z(l) = -a(l) - 6*q(l). What is the second derivative of z(w) wrt w?\nAnswer: 1018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 82*y**2 + 250*y - 118. What are the prime factors of r(80)?\nAnswer: 2, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*172\/44*11\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140764084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 142733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m - 1 - 1 - 18*m)*(3*m**2 + 0*m**2 - 9*m**2).\nAnswer: 48*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 6609186340.\nAnswer: 6609186340.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95718 + 95673 = -5*g + k, -k = 5 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110915711.\nAnswer: 19, 487, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -19*z**2 - 2. Let j(w) = 18*w**2 + 1. Determine 6*j(f) + 4*s(f).\nAnswer: 32*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i**2 - 5*i - 9. Let m be g(4). Let 6\/5*a**2 + 2\/5*a**m + 2\/5 + 6\/5*a = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/81 in -14.6, 0.01, -0.5, -18, -0.06, -0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*4\/16 - -2*10. Is r bigger than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -684 or -685?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(0\/2 - 3). Let w(z) = 0*z**3 + z**3 + 2*z**2 + 3 + 3*z**2 + 5*z. What is the units digit of w(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 28*u**3\/3 - 7*u**2\/2 - 55*u - 29. Is o(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6167013704 and -5.\nAnswer: 6167013699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 - (-21)\/6. Suppose -p*h - 24 = -6*h. Solve 0 = d - 3*d + h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1753 + -1724. What is the third smallest value in k, 5\/6, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2 + 4*j - 3*j - 2*j + 1. Let x = 196 + -187. Let f(h) = 3*h - 7. Calculate x*t(g) + 4*f(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/(-336)*-14*3876\/(-340).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-9)\/(-12) - 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 192 = 0. Let a = 282 - k. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, -0.4, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/7*3\/((-330)\/70).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6175703 to the power of 1\/2, to the nearest integer?\nAnswer: 2485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16466166.\nAnswer: 2, 3, 17, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 11) + 11 + (5 - 3) + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 7*d**2 + 4*d. Suppose 3*b - b - 24 = 0. What is the least common multiple of b and s(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2325277 is divided by 332181?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/461845 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 121422443242?\nAnswer: 121422443300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 9. Let m be w(-9). Which is the third smallest value? (a) m (b) 4 (c) 15 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2255 - -2258. Let v = -262 - -250. Which is the third biggest value? (a) 2 (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j. Let b(p) = 26*p. Let m(o) = 3*b(o) + 16*i(o). Let z(x) = -9*x. Determine z(m(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 2*x + 19, -2*i + 5*x - 2 - 2 = 0. Suppose i*d - 148 = -d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/4 + 14*m**3\/3 - 5*m**2 + 10*m + 28. Let d be g(-15). Let z = d + 70. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + g = 5*g - 740, -3*o - 3*g + 2229 = 0. Let u = o - 443. Is u a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31255 - 31233. Let d(h) = 51*h**2 + 6*h. Let a be d(-4). Suppose -a = -4*z - 0*z. Calculate the highest common factor of z and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 5) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2 + 0*c**2 - 4 - 12*c + 3*c - c**2. Let w be d(-8). Suppose 4*v + 0 = 16. Solve -20 = -v*y + 2*h, -2*h - w*h - 16 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 - 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, u: 3, a: 2, k: 5, g: 3}. What is prob of sequence aau?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52085018 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-3\/5)*l*l**(-12))**(-28)*((l\/l**(-2\/7))\/(l*l**(1\/4)))**(-1\/36) assuming l is positive.\nAnswer: l**(1354747\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 48*p - 2. Let v(d) = -d**2 - 30*d - 148. Determine v(z(o)).\nAnswer: -2304*o**2 - 1248*o - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ihhlihhlilhllih.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, z: 2, l: 3, x: 2, n: 3}. What is prob of sequence xx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.499*-109.554.\nAnswer: 54.667446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 1303 + 185 = 0. Calculate the remainder when i is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**4 + 211940*z**3 - 2247623060*z**2 + 35921286720*z - 143630910720 = 0.\nAnswer: 8, 21186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*g + 14. Let f be (2\/3)\/(g\/(-24)). Let i(w) = -w**2 - 10*w - 9. What is the lowest common multiple of 2 and i(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290*0.0379\nAnswer: -10.991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 240, 3, -5, 0.933, -1\/6, -1 in descending order.\nAnswer: 240, 3, 0.933, -1\/6, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 + 56*x**3\/3 + 1562*x**2\/3 - 21896*x - 458643.\nAnswer: -(x - 51)**2*(x + 23)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:58 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230761.\nAnswer: 7, 193, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -140, 12, -4, 4 in ascending order.\nAnswer: -140, -4, 4, 12, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 9*d + 3. Let a(w) = w. What is -a(m) + t(m)?\nAnswer: -2*m**2 + 8*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 1, e: 1, o: 1, t: 1, i: 1}. What is prob of sequence xxd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 - i**2 + 2 + 2*i**2 + (0*i - i + 0*i)*(-5*i + 2*i + 5*i) + 927*i**2 - 1696*i**2 + 906*i**2 to z*i**2 + n + p*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -58*k**2 + 80*k + 61. Let j be b(7). Is -1\/4 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**2 + 7*w**2 + 0*w**2 + 0*w**2 + w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1725507394 to the nearest integer?\nAnswer: 41539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 166735818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-1 - 3) + -11 + 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 4. Let y be s(-6). Let o(k) be the first derivative of k**3\/3 - k**2 + 3*k + 13. Calculate o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y**2 + y**2 + 2*y**2)*(-204 + 4*y - 2*y + 194) in the form p*y**3 + s*y + a*y**2 + b and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 94, 191, 284, 373?\n\"Answer: -2*u**2 + 103*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, f: 6, g: 5, n: 1, j: 2}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/829?\nAnswer: -2\/829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 103\/59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.57 - 0.37. Let x = -2.9 + 0.4. Let k = 0.5 - x. Which is the nearest to 2? (a) k (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -2. Sort -3, t, 5.\nAnswer: -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*t - 504 - 200 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 g, and 1 c when three letters picked without replacement from {j: 2, w: 2, c: 1, g: 1, s: 1, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, 49\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*y = -80817 + 348833, 0 = y - 4. List the prime factors of i.\nAnswer: 113, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/16434 and -167\/125496.\nAnswer: 1380456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2494 = 3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:57 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 988 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c + 8. Let v(z) = -5*z - 4. Calculate -3*g(f) - 5*v(f).\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1603 divided by -1603?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -8, -1\/6, -6729?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18886 + 36687. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25026443 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -40. Let u(z) = 1. Let s(n) = 5*n - 15. Let w(v) = y*u(v) - s(v). Calculate the smallest common multiple of w(-8) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, d: 3, o: 2}. What is prob of sequence zd?\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 530*j**3 + 0 + 2*j**4 + 33*j**2 + 0*j**4 - 2 - 529*j**3 + 66*j**2 as a*j**2 + o*j + r*j**3 + z + l*j**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**35*s*s**(-40)*(s\/(s\/s**8*s))\/(s*s**(-9\/7)) assuming s is positive.\nAnswer: s**(-460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*s + 12, 5*t - 3 = s - 0. Let a be t - (-1 - (-1 + 3)). What is the second derivative of 445*p**a + 7*p**5 - 4*p - 445*p**3 wrt p?\nAnswer: 140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**3 - f**2 + 2*f + 4. Let t(p) = p**3 - p**2 - 1. Determine i(u) + 4*t(u).\nAnswer: -2*u**3 - 5*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, -17, -76, -155, -260?\n\"Answer: -c**3 - c**2 - 35*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(7)) + sqrt(35)\/sqrt(5)*-6)**2.\nAnswer: 32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {b: 1, g: 1, w: 4, z: 1, m: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 11:44 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/6 + d**4\/24 - d**3\/6 + d**2. Let z = 257 - 256. Determine j(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**6 - 134*g**3*u**2 - 4*g**3 - 44*g**2 + 94*u**2 + 1 wrt g.\nAnswer: 360*g**3 - 804*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29554 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -598192*h*x - 36664*x - 1 with respect to h.\nAnswer: -598192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27328 + 18764 = -14*j + 34878. List the prime factors of j.\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (-2 - -1)*-2. Let v be -1*(5 - 3 - s). Suppose v*u - 4 = 6. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1261 + 0.1761. Which is the nearest to 3\/5? (a) t (b) -3\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/14 and -17\/737550.\nAnswer: 5162850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqd when three letters picked without replacement from {j: 5, d: 1, g: 1, v: 1, q: 6}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from nbnnnttnnttnnn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 + 23*h**2 + 13*h - 7. Let b be z(12). What is the highest common factor of 2 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 25*v - 48. Let z be r(23). Sort -0.04, z, -3.\nAnswer: -3, z, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29)\/(-3) + (-10)\/15. Let j(s) = s - 17. Let o be j(20). Suppose -4*f + a = 4*c - 7, -3*c = -o*f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 11 = 2*o - 4*h, 2*o - 7 = -5*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22142337?\nAnswer: 3, 7, 41, 25717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 7 - 5. Let g be (-476)\/(-6) + (-5)\/((-15)\/q). What is the highest common divisor of 60 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54684 and 24304?\nAnswer: 218736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-3 - (-22 - -5)) + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5098 - 3341. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 440422113?\nAnswer: 440422124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -248, -451, -656, -863, -1072?\n\"Answer: -r**2 - 200*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 2 - (-10 + 32 - 26)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 655 - 26203\/40. Calculate the common denominator of z and 61\/14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3804275, -3804413, -3804551, -3804689?\n\"Answer: -138*v - 3804137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59485.\nAnswer: 5, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:45 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 15*l**2 + 20*l + 14. Let b be k(-11). Let r = -276 + b. Solve -13 = -5*q + r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*2*-4 + sqrt(425) - (sqrt(425) + (1 + sqrt(425))*5))**2.\nAnswer: 650*sqrt(17) + 71850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*x**3 + x**2 + 35*x wrt x?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6677 by 1188.\nAnswer: -607\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 19 = 5*u, -d + 4*u + 20 = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -41160a8 (base 11) to base 12\nAnswer: -2527248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-4 - 20) - (-5)\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22121 - -12210100?\nAnswer: 20002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (4 - 3) + -7 - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 0)\/(32130\/(-73899))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014300 divided by -300?\nAnswer: -13381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1)\/(m*m\/m**(-8))*(m**(2\/5))**41)**(-28\/5) assuming m is positive.\nAnswer: m**(-1176\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7910895 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9202095 - 9?\nAnswer: 9202088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 8*u**2 - 14*u - 10. What is k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 17 + 2*q + 10*q - 1. Is m(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 36\/8) + (-7)\/(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*t - 2 + 59*t + 217*t + 2 + 61*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 237*s - 56169\/2.\nAnswer: -(s - 237)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5817)\/(-1939))\/((-3)\/(-1)*1\/(-2))*-41.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3)*h)**(-2\/49)*h**(9\/5)\/h*(h**10\/h)\/h assuming h is positive.\nAnswer: h**(914\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 153*q**5\/20 + 7*q**3 - 408*q**2. Find the first derivative of l(h) wrt h.\nAnswer: 918*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 21*d - 107. Give b(-23).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsevlelvv. Give prob of sequence ssse.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 132\/10*2535\/273. Let c = v + -21534\/175. Find the common denominator of (-2)\/((160\/(-164))\/4) and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d1c (base 14) in base 9?\nAnswer: -12047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = n + 2 + 15, l = 4*n - 17. Sort l, 4, -2\/5.\nAnswer: l, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328277280 divided by -4.\nAnswer: -82069320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 15, -33485, 1, -2 in increasing order.\nAnswer: -33485, -2, -0.3, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3 + -2 + 4. Let g be (t\/3 + -1)\/(56\/84). Suppose 2*o - 4 = -2*o. Calculate the highest common factor of g and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-1\/2)*c*c))**12)**(1\/3))**28 assuming c is positive.\nAnswer: c**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is the fourth smallest value in 1\/3, -1\/8, -12, 7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 5. Let k(r) = 2*r - 4. Let i be (-5)\/(-15) + 10\/(-3). Give i*n(a) + 4*k(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Let v = 9 + -7. Suppose 5*n = -h, -4*n + 9*n = -3*h. Solve -v*g + h = f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 51, 76, 101?\n\"Answer: 25*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 1:20 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, x: 4, z: 2, s: 1, h: 8}. What is prob of picking 2 s and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 4. Let v(h) = 12*h**2 + 21*h**2 - 28*h**2. What is v(o(l))?\nAnswer: 5*l**2 + 40*l + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*f + f. Suppose 32 = -5*g + 2*i, 3*g + 5*i + 1 = f*g. Let y(t) = -t**2 - 9*t + 3. Is y(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - l**2 - 7*l**2 - 6*l**2 + 8*l**2 - 4*l**3 to the form w*l + g + m*l**3 + t*l**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94305 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7890, 4\/7, -9, 0, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.68 and -666098?\nAnswer: 666098.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16992493357 + 9.769\nAnswer: -16992493347.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + -4 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 75*c**2 - 2*c + 25. Let l(r) = 37*r**2 - r + 10. Let w(y) = -2*k(y) + 5*l(y). Let d(u) = -u**2. What is w(d(s))?\nAnswer: 35*s**4 + s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285532068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -501 or -695?\nAnswer: -695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/6)\/((-4)\/(-6)). Let r(w) = w**3 - 8*w**2 + 8*w + 7. Let s = -19 + 39. What is the lowest common multiple of r(g) and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b. Let x be a(-1). Solve 3*d = -x - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -434, -436, -438, -440, -442?\n\"Answer: -2*n - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*g + 24, -g - 4*t = -0*g + 8. Let m(o) = o + 17. Let h be m(g). Calculate the greatest common factor of 45 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219556949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100011 + -10?\nAnswer: 1111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {j: 2, t: 4, o: 2, u: 2, w: 1, c: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 = 21431*x - 21434*x - 3*q, 27*x + 6*x + 61 = 2*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*a - 1030*a - 937*a + 306*a = 100512 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -34, -80, -146?\n\"Answer: -10*j**2 + 4*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**4\/3 - 2*f. Let k(t) = 2*t**2. Suppose 3 = -3*u + 2*u. What is u*h(d) + 5*k(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1960?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 2 - 4) + 5. Let v be 5 - (s - 4)*1. Calculate the highest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j**2 + 7*j - 11. Let m = 14 - 2. Let g be (m\/(-10))\/((-1)\/5). Let w(o) = -2*o**2 + 2*o - 3. Let u = -50 + 28. Calculate g*p(z) + u*w(z).\nAnswer: 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**2\/2 - 1. Let f be r(3). Suppose -f*m = -m - 28. What is m rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16698*z - 2*k = 16695*z - 53, -4*z - 89 = k for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8369, 13876, 19379, 24878, 30373, 35864?\n\"Answer: -2*y**2 + 5513*y + 2858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 170167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 3013.4028176?\nAnswer: -3016.4028176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-12)*3)\/(5\/16780) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -11. Suppose -2 = -p*h - 10. Which is the second biggest value? (a) h (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -13155843.6?\nAnswer: -13155840.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532006820?\nAnswer: 2, 5, 1093, 24337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*l - 22, 4*z - 58*l + 53*l = 132. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 27*f + 13. Let u be i(-14). Let m be 1209\/9 + (-10)\/(-6) + u. Suppose -b - 5*z + 22 = 0, m = 5*b + 2*z - 67. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 40 = 4*i + 40*q - 21*q, -30 = 10*i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6*h**3 - 1166*h**2 - 458252*h + 152880 = 0?\nAnswer: -196, 1\/3, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/10 + 20063*u\/10 + 10031\/5.\nAnswer: (u + 1)*(u + 20062)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.259 - -0.041. Let l = -15 + j. Let p = 0.72 - -0.08. Which is the second smallest value? (a) l (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/6*(-6 + 9)*(-230)\/(-60)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5543, -5542, -5541, -5540, -5539, -5538?\nAnswer: -5537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181918181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1229890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 2*r + 3. Let y be q(2). Let w = y + 2. What is the second derivative of 0*x**5 + x + x**w + 0*x**5 wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1542344.92 to the nearest 10000.\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*s**2 - 315*s**2 - 307*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 4)\/(2\/(-8)). Suppose 2*p + 3*f = 273, m*p - 5*f - 670 = -p. What is the remainder when p is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 504*q**2 + 21663*q - 41334.\nAnswer: 3*(q - 83)**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {e: 1, y: 1, v: 1, o: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -243*p + 22351. Calculate h(92).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-21) + 32\/6. Calculate the greatest common divisor of f and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 22*g**2 - 4*g - 1. Let b(x) = -x**3 + 7*x**2 - 6*x + 3. Let z be b(6). Let a = 10 - z. Calculate the remainder when r(-1) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.86894t in micrograms?\nAnswer: 74868940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.02, -5 in decreasing order.\nAnswer: 0.02, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2567 and -117918?\nAnswer: -302695506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -804.5 + 804.3. Which is the closest to g? (a) 0.2 (b) -72\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52442 and -3?\nAnswer: 157326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 5:53 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y = -999 + 3145 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000110110100010 (base 2) to base 7.\nAnswer: -1462243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvmvklvklkvvvkvwwvvd. What is prob of picking 1 v, 1 d, and 1 w?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -238 + 19242?\nAnswer: 19005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*w + 2*z, 8*z + 3*z - 16 = 3*w. What is the closest to 0.1 in 0, w, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/2352 and 5\/21328377.\nAnswer: 341254032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115 + 1622?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 187 - 3*g + 2*g + 56 - 8*g - 2*g. Let v be c(19). Solve -38 + v = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**3 - 37*l**2 - 11*l + 75. Does 117 divide m(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/336 and 31\/5250.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w + 45. Let t = -1 - w. Suppose 9 = 5*q + t. Which is the closest to 1? (a) 1 (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116265 divided by -15?\nAnswer: -7751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 15 = 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4627 or -6904?\nAnswer: -6904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 4*o)*(4804 + 18495 + 16881 - 3714).\nAnswer: 109398*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30618, -10, 1.\nAnswer: -30618, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(12\/5))\/(b*b\/b**(2\/41)*b))**(-2\/51) assuming b is positive.\nAnswer: b**(-184\/10455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)\/t**9*(t*t**8)\/t*t*t**3)\/((t**(2\/7))**(-1\/8)*(t*t**(-2))**(2\/27)) assuming t is positive.\nAnswer: t**(1847\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -10559.3?\nAnswer: 1055.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130711810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.134 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 19*o + 73. What is t(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 0.4, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -20. Let p(g) = -2*g - 7. Let s(f) = 5*f + 20. Let i(t) = 11*p(t) + 4*s(t). Does 8 divide i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 148267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 7*s - 1. Let b be h(-6). Suppose 4 = 4*y - 28. Suppose 4*x - 24 = 4*p, b*p + y = -x - 4. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 6*d + 44. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -825029568 divided by -105936\nAnswer: 7788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60161718 and 150404295.\nAnswer: 300808590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124439, -249318, -374185, -499034, -623859?\nAnswer: -748654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w - 19. Give v(-8).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/94 and -127\/20304.\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35344 by -4.\nAnswer: -8836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbabqafkbqqaka. Give prob of picking 2 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2240 divided by 16\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**5 + 58868*g**4 - 176595*g**3 - 4*g**2 + 235460*g = 0.\nAnswer: -1, 0, 2, 58865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 2*y**2 - 2*y**2 - 57 - y**2.\nAnswer: y**2 - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-1*-1 + sqrt(84))\/(-6*sqrt(108) + sqrt(12) + sqrt(12)) + (sqrt(1008)*6)\/(-1*sqrt(36)).\nAnswer: -97*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-6)\/60*4*-5). Factor p + 10*j**4 + 8*j**3 + 8\/5*j**2 + 0*j.\nAnswer: 2*j**2*(5*j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 85*j**7\/21 + 121*j**4\/12 - 22*j - 5. Find the third derivative of a(y) wrt y.\nAnswer: 10200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 12*y**2 + 4. Let d be h(-12). Is 530\/1*2\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 5*d**2 + 16*d + 50. Give w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9315, 9342, 9367, 9390?\n\"Answer: -i**2 + 30*i + 9286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1422170106 - 1?\nAnswer: -1422170107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(40)\/(sqrt(72)\/sqrt(9) + sqrt(8)) + 4)**2.\nAnswer: 12*sqrt(5) + 109\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 8 = -3*s - 2, 0 = -4*t - s - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/3)\/b**0*b*b*b**(-1)*b\/((b\/(b*b*b*b*(b\/(b**(-4)\/b*b))\/b))\/b))\/((b**(2\/9))**14)**(2\/5) assuming b is positive.\nAnswer: b**(334\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 + -161. Calculate the least common multiple of 4694 and x.\nAnswer: 23470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9520*i**3*p**2 + 56*i**2*p - 12*i*p**2 - 62982*p**2 wrt i?\nAnswer: -57120*i*p**2 + 112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -302.68 from -1889.4105.\nAnswer: -1586.7305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 2, p: 1, i: 4, j: 1}. Give prob of sequence jphk.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151578 or 151577?\nAnswer: 151577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3 - 4*m. Let d(f) = f + 1. Let a(n) = 2*n**2 + 2*n + 2. Let j(z) = a(z) - 2*d(z). Calculate j(s(c)).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/28*4\/3*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6380723542 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 3:16 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(16\/6 + -2). What is the first derivative of -1 + 4*t - k + 2 wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h + 40*h - 197*h - 7*h**2 + 7*h**2 - 2*h**3 in the form d*h**2 + l*h**3 + f + n*h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1429*p**2 + p**3 - 1429*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37085681937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - 206.031.\nAnswer: -206.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (191\/(-73535)*77)\/(3\/(60\/13)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/5, -2\/5, 2\/147?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2 and 101\/2544.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-325)\/(-4) + 3\/(-12). Let z(r) = -12*r + 9. Let d be z(-7). Suppose -3*j + 2*o = -11 - c, -3*j + d = -3*o. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 6*p**2 - 2*p - 9. Let a be j(-6). Suppose 10 = 5*m - 5*q, -4*m + a*q - 1 + 8 = 0. What are the prime factors of (m\/(-3))\/(5\/(-570))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40859 and 5019371?\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 + -15.4. Let d = -23 - r. Let o = -4 - -7. What is the biggest value in o, 0.5, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 8*r - 21. Let u be i(4). Let k = u - -722. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**2 - 43*f - 2. Let s be y(-7). Let q = 2\/271 - -20048\/813. What is the common denominator of q and (300\/63 - 7) + s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 - -168. What is the closest to h in 1\/6, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + 133. Suppose i*b + 0*k - k + 17 = 0, 2*b + 12 = -4*k. Let m = 68 - b. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 + (-32)\/24)*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10309022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = -u. Suppose -8*b - 87 = 257. Which is greater: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**2 - 401*m + 5821. Determine u(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*h**3 + 21\/2*h - h**2 - 1\/4*h**4 - 27\/4.\nAnswer: -(h - 1)**2*(h + 3)*(h + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(120\/(-8))\/225*4*55\/33?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-82080)\/(-234))\/(-152))\/((-2)\/39).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785081057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2792\/205 + -542\/41. What is the closest to r in 56, 1\/4, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -13, 2192 in decreasing order.\nAnswer: 2192, 4, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u*u**(-2\/11))\/((u*u**0)\/u**8) assuming u is positive.\nAnswer: u**(452\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -54\/13, -22, 0.78?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1540 - 12295\/8. Calculate the common denominator of r and -47\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/479 + -985\/1437. Which is the second biggest value? (a) 4 (b) v (c) -5 (d) 4.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 + -27 + -3)\/(2\/(-10)). Solve -h*a = -91*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5.8. Which is the smallest value? (a) 2 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 524660173 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d - 3315 = -3*n - 37*d, 2*n = 5*d + 2189. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w**3 + 2*w**4 + 2*w**4 - w**5 - w**5 - 10*w**2 + 4*w - 2*w**4 = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7522, 60214, 203242, 481774, 940978, 1626022, 2582074, 3854302?\n\"Answer: 7528*x**3 - 4*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + 5))**2 - (sqrt(11) + (-4 + sqrt(539) - sqrt(11))) - ((sqrt(396)*1*-5)**2 + 3).\nAnswer: -9863 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-112)*(-61)\/(1891\/372)*(-1)\/(-7)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*d - 4, 30*w - 28*w - 7 = -d. Suppose v + 3*q - q = -4, -q + 8 = 3*v. Find the first derivative of -2*t**v + t**w - 272 + 267 wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 times 31.4\nAnswer: -11.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/6 - 38*u. Let z(q) = 6*q. Determine z(m(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10011 (base 2) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2 - 17 = 0. Let d(q) = 5*q**2 + 8*q + 3. Let v(z) = -11*z**2 - 17*z - 7. Let n(h) = m*v(h) - 7*d(h). Find the second derivative of n(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 10*a**2 - 16*a - 1. Determine l(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -56\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - 1 - 7) + -1 - -14) + 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.3 and -12965.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 45944611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p - 18*p + 1 - 5*p**3 + 10*p - p**2. Let m be s(1). Let f(j) = j**3 + 6*j**2 + 4*j - 1. Determine f(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i + 101*i = 18*i + 1341 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 600 - 48. Calculate the smallest common multiple of i and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17541809 from -1.\nAnswer: 17541808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**3 - 40*s**2 + 6*s + 1. Let u(z) = -9*z**3 - 60*z**2 + 7*z + 1. What is 3*g(a) - 2*u(a)?\nAnswer: -3*a**3 + 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2432108 minutes in hours?\nAnswer: 0.02072018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*q + 3 - 3)*(3998*q + 8634*q + 8713*q - 7025*q + 8299*q) as h*q**2 + m*q + z and give m.\nAnswer: 45238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in -3, 2\/41, -2\/7, -3\/2, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 + 196.9815. Round y to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 755 and 302.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-8)\/8*(26 - 19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:41 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s\/(s\/(s\/s**(4\/7)))*s))\/s*s*s\/((s\/(s**(2\/5)*s))\/s))**(-16\/5))**(-15\/7) assuming s is positive.\nAnswer: s**(4992\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*d**6*n**2 + 7*d**3*n**2 - 8*d**2*n**2 - 6*d**2 + 2*n wrt d.\nAnswer: 3120*d**3*n**2 + 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/6 + (-2)\/4. Let d = -5 + 2. Let j(m) = -3*m + 3. Let f be j(d). Solve f = -7*c + r*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/61 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + b**2 + 2*b + 2. Let r(z) = 2*z + 14. Let j be r(-6). Suppose 5*u = -s - 3, 0 = -3*s + j*s + 3*u - 3. Is l(s) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/9*g - 2\/3*g**3 + 4\/3*g**2 - 2\/9*g**4.\nAnswer: -2*g*(g - 2)*(g + 1)*(g + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -12381515\nAnswer: -12381520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138092209.\nAnswer: 19, 109, 131, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13928, -27856, -41784, -55712, -69640?\n\"Answer: -13928*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 + 0.13. Which is the biggest value? (a) -1 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927915686 plus 5288?\nAnswer: 3927920974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**4 - 2*n - 12*n**4 - 5*n**4 + 2*n**3 as f*n + k*n**2 + c*n**4 + h + l*n**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*m - 3*m + 52 = 0, -40 = -2*c + 3*m. Suppose 3*b + q = c, 0*b = -b + 4*q + 9. Suppose -4*z + 2540 = -4*a, b*z + 492 = 3*a + 3667. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4669 - -4664. What is the third biggest value in 0.1, -5\/4, 5, i, 82?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 70405951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6329?\nAnswer: 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 - 8 = 0. Suppose 0*x - u - 6 = -x, 0 = d*x + 4*u - 30. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16649 is divided by 5460.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*c - 268 = -4*c, 4*c - 104 = -w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.66218 years to centuries.\nAnswer: 0.7066218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2202 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 2*v**4\/3 - v**3\/3 + v**2\/2 + 7*v. Give i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 5*t - 196 = 0. Suppose 5*d + 9 = t. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78718600 to the nearest one million.\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 13, 68, 145, 244, 365, 508?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 992863997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.7222 + 0.3922. Round c to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2097 + -2095. Solve -5*l = -3*p - 2 - v, 5*p + 3*l = 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*5 + sqrt(63))\/(-2*(sqrt(9) + sqrt(27)\/sqrt(3)) + sqrt(9)) - ((sqrt(140) - -2*sqrt(140)*-2) + sqrt(140))\/sqrt(5).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3212487 < -3212321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztzzzszttazthahtta. What is prob of sequence zzaz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3693, -7947, -12155, -16311, -20409, -24443, -28407?\nAnswer: -32295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 4. Determine q(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53.33642 + 0.05358. What is p rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*c = -3, 5 = 3*o - 80*c + 73*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237\/61 - 9371\/732. What is the common denominator of 121\/222 and z?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + ((-5863)\/506)\/13 and ((-1)\/((-6)\/39))\/10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 0.4 (b) 21933 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + z - 46, -14*z - 9 = -3*u - 19*z. Calculate the remainder when 10462 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-16)*(-8)\/10. Let y(f) = -f**3 + 2*f**2 - 2*f + 4. Let l be y(m). Suppose 0*n - 2*n + 14400 = l. Round n to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 + 8808?\nAnswer: 8834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.571701 weeks in hours?\nAnswer: 432.045768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 5*h - 2. Calculate the remainder when x(-4) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 3. Let w(a) = a**2 + 3*a - 14. Let k be w(2). Let y(u) = 2*u + 8. Calculate k*y(r) + 11*t(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -2 (c) -0.3 (d) 0.4 (e) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*i + i + 17, 5*i = -4*d + 22. Suppose l + d*l = -8. Let g(s) be the first derivative of s**3\/3 + s**2 + 2*s - 1. What is g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 293671\/11 - 26716. Let c = p + 23608\/1265. Is 1 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57237847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264399100 rounded to the nearest 1000000?\nAnswer: 2264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/60 + 11*v**5\/60 + 16*v**3\/3 - 13*v**2 - 2*v. Find the first derivative of k(d) wrt d.\nAnswer: 6*d**2 + 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*z**5 + 93*z**4 + 312*z**3 + 438*z**2 + 282*z + 69 = 0. What is z?\nAnswer: -23\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3\/5 + 141*x**2\/5 + 303*x\/5 - 441\/5 = 0. What is x?\nAnswer: -3, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a factor of 113802767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024817398977 to six dps.\nAnswer: -0.024817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 1\/7, 4, -68, 33.4, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -282*m**3*x**2 + 28638*m**3*x - 2*m**3 - m**2*x**2 + 543*m**2 - m - 5*x**2 - 7 wrt m?\nAnswer: -1692*x**2 + 171828*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 5*d + 19*p - 33, 4*p + 7 = 3*d. Suppose d*f = -2*q + f + 14214, -2*q + 14222 = 2*f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -1.6, 5, -5, -2\/3, 1, 5\/4 in increasing order.\nAnswer: -5, -1.6, -2\/3, 3\/5, 1, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2172 - 9270. Let h = 4830 + u. What is h rounded to the nearest one hundred?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 5*x)*(-1241 + 111*x + 1241) + 0*x**2 - 4*x**2 + x**2 + (-3*x**2 + x**2 + 0*x**2)*(-2 + 4 - 3).\nAnswer: 221*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 4*f - 5*i - 11, 0 = 5*i + 20. Suppose f = -5*x + 2*x, 4*x = 5*z - 44. Let d = z + 2. Solve 5*u = -4*o - d, 2 = -2*u - o - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-5)\/(-3 - -2). Suppose 3*u + 2*f - 5*f = -1803, 3017 = -o*u - f. Is u\/(-6)*(-2)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7202 rounded to two dps?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6171 * 1.\nAnswer: 6171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16*i + 7084 = 0. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-151)\/(-17) - (-8)\/68?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -57c5?\nAnswer: 57c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*g + c, -2*g + 8 = c + 35. Let j = 2 - g. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k = 0. Let c(g) be the second derivative of -g**4\/12 + 3*g**3\/2 - g**2 - 3*g. Let z be c(6). Solve 3*d = -6*x + 3*x + 18, k = d + 3*x - z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-1*sqrt(600) + sqrt(24) - sqrt(24)) + (sqrt(2400) - sqrt(2400)*1))\/(sqrt(512) - (sqrt(512) + 4*sqrt(512)*5)) + 1)**2.\nAnswer: -1027\/1024 - sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**4*y - 45*m**4 - 547*m**3*y + 12743510*m**2*y wrt m?\nAnswer: -96*m*y - 1080*m - 3282*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 48. Suppose a = -a + c. Suppose -2*y + a = -10. What is the greatest common factor of y and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, -64, -133, -272, -505, -856, -1349?\n\"Answer: -4*r**3 + r**2 + 2*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - sqrt(2793)*2)*-2)\/((2*sqrt(1296) - sqrt(9))\/sqrt(3)).\nAnswer: 26*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*x**2 - 215 + x + 271*x**4 - 270*x**4 + 214 to the form w*x**2 + y*x + m + q*x**4 + k*x**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccfcccffccff. Give prob of picking 2 f.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.366863 rounded to 1 dp?\nAnswer: 23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -47*a + 7. Let w(g) = 3 - 6 - 2 + 109*g + 4 - 108*g. Give u(x) + 5*w(x).\nAnswer: -42*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 + 5*k**3 - 6*k**3)*(k**2 + 3*k**2 - 2*k**2) + ((-k**2 + 4*k - 4*k)*(2 + 1 - 4) - k**2 - 2*k**2 + k**2)*(0*k**3 - k**3 + 2*k**3).\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*u)*(-90 - 9 - 30 + 4).\nAnswer: -375*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35677, -49537, -63397, -77257, -91117, -104977?\nAnswer: -118837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k**3 + 297323766*k**2 - 792863520*k + 528575712 = 0. Calculate k.\nAnswer: -11011994, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1728)\/1008 + 740\/105.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7))**(-6))**(11\/2) assuming f is positive.\nAnswer: f**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 192 (base 11) to base 8\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -13*s. Let f(a) = -a. Let t(l) = -6*f(l) + o(l). Suppose 133*m = 153*m - 1680. Let y(z) = -m*z**2 + 26*z**2 + 24*z**2 + 37*z**2. Determine t(y(d)).\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-92)*(-48)\/6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -1 + 1 + 7. Suppose -p*a + 4*d = -1332, 3*a + d - 3*d - 995 = 0. Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 10:04 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -14?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 379. Let h(k) = k + 760. Give -3*h(j) - 5*t(j).\nAnswer: 2*j - 385","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5525, -2, -152 in descending order.\nAnswer: 5525, -2, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13918423 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 467*c**3 + 6 + 3 + 0 - 10.\nAnswer: 467*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(-2\/5)*f)\/f*f*f\/((f\/f**(-4\/5)*f)\/f))**47 assuming f is positive.\nAnswer: f**(423\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1397 = 1211*r - 42199 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 17114.6?\nAnswer: -34229.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c, 3*c + 3 = -l. Let u = -9 - -37. Let m = u - 30. Sort 3, -1, l, m in descending order.\nAnswer: 3, -1, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + (6 + -14 + 0 - -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*2 - sqrt(847))*6*-1 + (sqrt(112)\/(2*sqrt(2)))\/(1*sqrt(968)))**2.\nAnswer: 14737807\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4473 = -10*k - 4463. Let l = -1 - -1.4. Which is the nearest to k? (a) 2 (b) l (c) -0.5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 14 - 17 + 65)*(2*f - 3*f**2 - 2*f).\nAnswer: -282*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -161, -179, -199, -221?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*a + 1 - 4, 1008*h - 1031*h + 510 = 4*a for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5140530232 - 5?\nAnswer: 5140530224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 108\/45*20\/6. Suppose -o - 3*o - h = 0. Is (0 - (-1 + o)) + 121 + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2 + 12 + z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6747756ml to litres.\nAnswer: 0.0006747756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6 and -67\/14613.\nAnswer: 29226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 2 + 2*q + 0*q. Let f be y(5). Solve -j = 2*j + f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = 28. Let q(t) = t**2 + 16*t + 42. Let g be q(p). Let a(y) = 7*y**2 + 0 + y**3 + 4*y - 7 + 0. Determine a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 7. Let w be k(3). Suppose 5*f = -3*p + 89, -w*p - 5*f + 22 = -39. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79077.5477 rounded to the nearest 100?\nAnswer: 79100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, e: 1, a: 1, y: 6, n: 4}. Give prob of sequence say.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 267762629 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -1034 (c) -1\/2 (d) 1\/24 (e) 0 (f) -1\/6 (g) -3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 52 = 111817*d - 111812*d, -5*k - 39 = -3*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-408)\/(-14))\/3)\/(1 + (-14878)\/14882)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 + 61224*x - 244832 = 0. What is x?\nAnswer: 4, 15302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*x - 38795 = 2*r, 4*x + 31036 = -4*r. Let i = r + 4650. Let q = i + 4609. What is q rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 1\/42*k**7 + 1\/3*k**3 + 0*k**4 + k + 0*k**5 + 0*k**2 + 0*k**6 + 0. What is the second derivative of v(f) wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/23, 7, 2, 0.4, 16.3, 2\/9?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157327931 is divided by 3063?\nAnswer: 3062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*v + 1165 + 1195 = 120*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55646438 + 2?\nAnswer: 55646440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1804 and 820.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45230 - 45231. Let z = -3063 - -952599\/311. Do u and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 1. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-24) - (2 - 6)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/39312 and 59\/39312.\nAnswer: 39312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 180 (b) -2\/3 (c) -4 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -0.3 (c) 239 (d) 2 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (150\/(-100))\/(3\/(-2)). Solve -4*q + 3*u = -y, 2*u - 1 = 5*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(1\/29)*(n**1*n)**(13\/5))**28 assuming n is positive.\nAnswer: n**(20972\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10) - (-96)\/10. Let t be (-20)\/a - 6\/(-27). Let j be (t\/5)\/(3\/(-150)). Calculate the greatest common factor of 8 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*h - 398*h = o + 22, -2*h - 22 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(60)\/((-2*sqrt(132))\/sqrt(11)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h + 1. Let g(p) = -90*p - 3. Let z(k) = -g(k) - 9*j(k). Let w(f) = 4*f. Determine z(w(v)).\nAnswer: -108*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 + w**2 - 2*w**2 + (-w + 2*w - 2*w)*(-2*w - 3*w + 4*w) - 25*w**2 + 51*w**2 - 16*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/4, -0.3, 0.5, -156, 0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*f - 26*f + 3*f**3)*((-3 - 2*f + 3)*(14*f - 2*f - 26*f) + (-2*f - f + 2*f)*(2 - 2 + 2*f) + 6*f**2 + 5*f - 5*f).\nAnswer: 96*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -30*y - 504. Let l be z(-15). What is the smallest value in l, -1\/9, 1\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*o - 251*o + 86 + 368*o.\nAnswer: -76*o + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10619, -10622, -10627, -10634, -10643, -10654, -10667?\n\"Answer: -z**2 - 10618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*d = -12, 4*x = 3*d - 7 - 3. Let j be 0*(0 - (2 + x)). Let i be (-7)\/(-28) - (-2)\/(-8). Solve l + j - 1 = i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -2.76 (c) -5 (d) 2 (e) 5\/4 (f) 0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 323856400 to the power of 1\/3, to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 2*f - 1. Let v be l(1). Let p be (4\/8)\/(-1)*0. Factor 2\/3*b + v + p*b**4 + 0*b**2 + 2\/3*b**5 - 4\/3*b**3.\nAnswer: 2*b*(b - 1)**2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47556869.\nAnswer: 97, 490277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 44290630 less than -0.02?\nAnswer: -44290630.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 781885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6 and 37\/76638.\nAnswer: 76638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188222 is divided by 188210?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m - 114. What is the remainder when m is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 12:33 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (9\/3 - 0 - -1). Suppose 26*s + 163 = 8093. Calculate the greatest common divisor of p and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/5 + 306\/15. Suppose 3*j = -0*j + o. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1283 + -1198. Let p = 50 - 92. Let u = d + p. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 30. Let y be f(-28). Solve a - y = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 7*m**2 - 8*m - 8. Let d be g(-6). Suppose -12 = -s - s - d*z, -4*s = z - 3. Suppose 3*y - 2 - 28 = s. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 127 + 129 + 127 + 5*t - 387. Suppose -4*x - 26 + 6 = 0. Calculate g(x).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -43*m**3\/3 + 5*m**2 + 11*m + 6. Let w be d(8). Let t = -1561 - w. Round t to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 540\/40*8\/6. Suppose h = 2*n - 4*h - 22, 4*h + 38 = 5*n. Suppose -3*x - n + m = 3*r, -3*x + 42 = -3*r. Solve 3*s + 2*a + 3 = a, -5*s - 3*a = x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eceeddcudeedc. What is prob of sequence eud?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 89 = -4*u + 117, -2*u - o = -2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 81116.4 to the nearest one hundred.\nAnswer: 81100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -12120012202200?\nAnswer: 12120012202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k + 7*k**3 - 20*k.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59.2568 - -56.56. Let h = 2.7397 + -0.0397. Let j = h + n. What is j rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxbl when four letters picked without replacement from {l: 4, b: 1, x: 1, g: 2, f: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35970?\nAnswer: 2, 3, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1621864.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -648626 by 5.\nAnswer: -648626\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 - 6*j**2 + 7*j**2 + 3*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2364 and -63\/5.\nAnswer: 11820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48769 - 0.2.\nAnswer: 48768.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = 10. Let p(c) = -2*c**2 + 29*c + 18. Let w be p(15). Solve 0 = k*j + l - 1 - 4, -w*l = -3*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8021\/408 + 1\/136. Let x = -20599613 - -35019345083\/1700. Let t = x + -2\/425. Find the common denominator of t and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, e: 10, d: 6}. What is prob of sequence eee?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -2032135213?\nAnswer: 2032135215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2174 or 130889?\nAnswer: -2174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -31\nAnswer: 73\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 104*h - 1597. Suppose -2*m - 3*m + 210 = 0. Calculate the remainder when m is divided by r(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.354528735 - -0.307.\nAnswer: -4.047528735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o**5 - 328426*o**4 + 1231694*o**3 - 656918*o**2 - 246342*o = 0.\nAnswer: -41057, -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 376923*x**2 + 2*x + 4. Let y be r(13). Round y to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/3 - 2287*o**4 + 415295*o**3\/3 - 1122477*o**2 + 3244068*o - 3182400 = 0. What is o?\nAnswer: 3, 52, 6800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1225 by -2.\nAnswer: 1225\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**3 + 0*a**3 - 2*a**4)*(-4 - 1 - 1 - 9) in the form y*a + c*a**2 + f + s*a**3 + p*a**4 and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29710676 + -0.51710705. Let v = n + 0.22. What is v rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(2\/47)*t)\/t)**(8\/7))**(-3\/2) assuming t is positive.\nAnswer: t**(-84\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 6*y + 4*y)*(-3*y**4 + y**4 + 0*y**4) - 4*y**5 + 2*y**5 + y**5 + 0*y**5 + 3*y**5 - 5*y**5 + 0*y**5 - 199583 - 4*y + 3*y**3 + 199578 + 2*y**5.\nAnswer: -3*y**5 + 3*y**3 - 4*y - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2876419.619164 + -33.\nAnswer: 2876386.619164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -6. Suppose 0 = -z*y + 22*y - 156. Let k = 126 - 76. What is the remainder when k is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + 2 - (76 - 90).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -11. Is 5 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/372 and 73\/8280813.\nAnswer: 33123252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 23*c - 52. Let d(x) be the second derivative of 13*x**4\/12 - x**3\/6 + x. Calculate the remainder when w(-15) is divided by d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u**3 + 11*u**2 - 11*u. Suppose 7*r + r = -88. Let w(g) = -6*g**3 - 6*g**2 + 6*g. Determine r*w(p) - 6*n(p).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 16199?\nAnswer: 1619b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 2*m - 12*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 412718 - 282037. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 704 - 711.58. Let h = o - -18.58. What is the second biggest value in 6, h, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*c + 36, 4*c + 29 - 89 = -m. Suppose 0 = u - 8 + c. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - z + 105 + 20 = 0, -10 = 2*z. Calculate the greatest common factor of 260 and p.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.76 * -35.054\nAnswer: -272.01904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b - b**2)*(1 - 18 - 18).\nAnswer: 35*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1134 - -11351\/10. Suppose 0 = 3*w + 3*k + 21, -2*w + 12 = -4*w - 3*k. What is the common denominator of y and (6\/w)\/((-192)\/(-90))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27580, 112922, 255160, 454294, 710324?\nAnswer: 1023250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 - 329. Let g = p - -117.0051. Round g to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.6 times -4.375\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209593768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 88 = -4*o, -7*y + 95*o + 97*o = 187*o + 93 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3075, -4758, -7591, -11568, -16683, -22930, -30303, -38796?\n\"Answer: a**3 - 581*a**2 + 53*a - 2548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rhrtrpmmzthptm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 12*g**2 - 1104*g - 2128.\nAnswer: 4*(g - 19)*(g + 2)*(g + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -87469 (b) 3 (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*g + 6, -a - 14*g + 40 = -9*g. Let r(c) = -2*c**3 - 3*c**2 - 3*c - 9. Let m(z) = -3*z**3 - 5*z**2 - 5*z - 17. Determine a*r(t) - 3*m(t).\nAnswer: -t**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(3\/20)*l))\/l**14*l\/l**(-1)*l*(((l\/(l*l**(1\/33)\/l))\/l)\/l)\/l assuming l is positive.\nAnswer: l**(-8699\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 22335*w**3 + 156307*w**2 + 245613*w + 111640.\nAnswer: (w + 1)**2*(w + 5)*(w + 22328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*l**3 + 0*l**2 - 4 + 16*l**3 - 3*l**2 + 3 + l**4 as q*l**4 + v*l + w + a*l**3 + m*l**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - 3\/(6\/(-14)). Let p(y) = -2*y - 1. Let r be p(-2). Solve -r*w + u*w = -4*k + 17, 2*k = 5*w + 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w. Let u(d) = 15*d**2 - 10*d**2 - 9*d**2. Determine z(u(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2*o**5\/5 - 5*o**4\/4 + 47*o + 68. Differentiate w(l) with respect to l.\nAnswer: -8*l**3 - 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/192212003 and 49\/37.\nAnswer: 192212003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-6) - (-2)\/(-6). Suppose 0 = r*v - 8*v. Suppose -3*f + j - 441 = f, -f + 5*j - 115 = v. Round f to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*b + 62 = 14, 3*v - 2*b = -36. Is 8\/v*(-36)\/3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-1 + -9 + (-1125 - -1158 - (1 - 3))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 at least 5778\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {w: 2, m: 1, f: 1, d: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-6)\/(-9))*4\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 42 - 30. Let a be -23 + 13 - (-416)\/(-8). Let m = l + a. Calculate the smallest common multiple of m and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 9, c: 6}. Give prob of sequence cgrg.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 4*t - 4*a + 23, -2*t + 2*a = 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79992 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 - (21 - (-7 + 17))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 + 35 + 41)*(-m + 0*m + 0*m + 1 - 1 + m + (-1 - 3 + 3)*(-3*m + 0*m + 2*m) + m - 4*m + 5*m).\nAnswer: 471*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w*w**19))*w**(8\/7))\/((w*w\/w**(-9)*w)\/w**(11\/6)) assuming w is positive.\nAnswer: w**(503\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 10*i - 14. Give w(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 6*m - 1. Let s(j) = 5 - 4*j + 5*j - 16. Let a be s(5). Let d be c(a). Is -3 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)*(-127 - 32). What is the hundreds digit of o\/((1 - -2) + (-144)\/44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 8 in ascending order.\nAnswer: -7, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 2, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4531 is divided by 4488?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.6965mm in kilometers?\nAnswer: 0.0005496965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*x**3 + 52*x**2 + 128*x + 68.\nAnswer: -4*(x + 1)**2*(2*x - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5\/7 + 9*z**4\/7 - 9*z**3\/7 - 3*z**2 + 18*z\/7 = 0?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3)*(28 + 0 + 0)*(3*h - 5*h + 3*h + (h + h - 3*h)*(0 - 4 + 2)) as f*h + d and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17300, -34585, -51848, -69077, -86260, -103385, -120440, -137413?\nAnswer: -154292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + (sqrt(360)*-3 - sqrt(40)) + sqrt(40))*3)\/(sqrt(96)\/(-3*sqrt(1200) - sqrt(12))).\nAnswer: 744*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 250*a**3 + a**2. Is u(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(4\/17)*(g\/g**(-4\/21))\/g*g**(2\/77)\/(g\/(((g*g\/g**40)\/g*g)\/g)*g) assuming g is positive.\nAnswer: g**(-155306\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -7 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -428, -970, -1488, -1982, -2452, -2898?\n\"Answer: 12*m**2 - 578*m + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 5, g: 1, n: 2}. What is prob of picking 1 n and 3 j?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1020 and 73\/3060?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4331831*v + 25688384 with respect to v.\nAnswer: -4331831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/5 + 3132*s**4\/5 + 340692*s**3\/5 + 2214008*s**2 + 21843990*s + 66282300 = 0?\nAnswer: -45, -7, 1670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - v + 1219 - 107 = 0, 5*h = 2*v + 1835. Calculate the remainder when h is divided by 101.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 13, -4, -6, 1 in increasing order.\nAnswer: -6, -4, 1, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 6910, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**33*z*z)\/z**(-2\/85))**(-11) assuming z is positive.\nAnswer: z**(-32747\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 26992\/(-616) - 112\/11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-8 - (-4 - -3) - -3). Suppose 3*j = -4*j - r. What is the units digit of 939\/9*(-3)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 127, 110, 95, 82?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57456 divided by 7182.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**4 - i**2. Let w be (1 + -3 + 0)\/(-2). Let j(q) = 5*q**4 + 3*q**2 + q. Let a(u) = w*j(u) + 3*p(u). What is the second derivative of a(b) wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735337?\nAnswer: 735337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110200010 (base 3) in base 11?\nAnswer: -33575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429 and 327129?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 79. Suppose -f*s + 0*s + 11 = b, 2*s - 19 = -3*b. Calculate the lowest common multiple of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 62. Let v be w(14). Let g be 1\/(-9)*3 + (-172)\/v. Is -28 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-1)*(-6)\/(-4). Suppose -4*r + 120 = 5*t, 4*t - 2*t = -r + n. Find the common denominator of 77\/4 and (-2)\/2 - (-333)\/r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.2. Let m be ((-14)\/21)\/((-25)\/(-3)). Let z = 2.5 - 1.5. Which is the nearest to -2? (a) r (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 + 2*k**2 + 2*k + 9. Let q(i) = 4*i**3 + 3*i**2 + 5*i + 14. What is 2*q(x) - 3*t(x)?\nAnswer: -4*x**3 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1871236 (base 9) to base 3\nAnswer: 1222101021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13a0a5a - -4?\nAnswer: -13a0a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 + -217. Let z be 5\/40*-4*(0 + n). Solve z = 3*q + 3, 7 = 3*p + q - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 15*p + 13. Suppose 116*n - 123*n - 49 = 0. Determine g(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83530.96 + 83403.95937. Let o = 122 + 5. Let f = k + o. Round f to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 2:04 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -6569.\nAnswer: 3\/6569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150, -306, -462?\n\"Answer: -156*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -14, 2 in decreasing order.\nAnswer: 2, 1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.5. Let f = 609226 + -39598687\/65. Let n = f + -76\/5. What is the closest to 0 in j, -1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.026 + 1.444. Let q = n - 1.4. Let y = q + 1.93. What is the closest to -1\/3 in -0.3, -0.1, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2. Let b(w) be the first derivative of 43*w**5\/20 - 3*w**2\/2 - 7*w + 37. Let g(n) be the second derivative of b(n). Determine o(g(l)).\nAnswer: 33282*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17493350 divided by -1655.\nAnswer: -10570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*y - 122*y - 282*y + 108*y - 164*y.\nAnswer: -622*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-5 + 4) + -41. Let h = f + 58. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-1)\/(2\/(-2))). Suppose 2*u = -5*o - 20, -p*o - u - 7 = -0*o. Let y be (-9)\/o - (-1)\/2. Solve 5*h = y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5970.02 - -5892. Let f = 0.98 - k. Is -1 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/18 - -1\/36. Let t = 1\/2881 - 5767\/14405. Sort 0, -2, t, q in decreasing order.\nAnswer: 0, q, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7304 and 32162251?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -61*a + 648. What are the prime factors of i(-4)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**4\/6 - 4286*j + 1. Let v(b) = 1070*b - 3. What is y(v(r))?\nAnswer: -2289800*r**2 + 12840*r - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/19 or -5.36?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 166\nAnswer: -5\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17 = l - 19. Let u(s) = s**2 + s - 1. Let x(q) = q**2 - 4*q + q - 3*q**2. Determine l*x(b) - u(b).\nAnswer: b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 45. Which is bigger: x or -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 11*g + 21. Let q be o(9). Suppose -q*a = 9, k + 3*a = -a - 107. What is the tens digit of (-9329)\/k - 1\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*-0.162.\nAnswer: 0.3078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**2 - 755*v - 5040 = 0?\nAnswer: -144, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/20 and 15\/11912?\nAnswer: 59560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -22. Let o be -2*3*4\/j. Calculate the highest common divisor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1235 divided by -51.\nAnswer: -1235\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/27*(-3*20\/24 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 88825452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.6? (a) 3\/4 (b) -2\/6249 (c) -0.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -33947, 0, -1, 2, 5 in ascending order.\nAnswer: -33947, -52, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22918170?\nAnswer: 2, 3, 5, 11, 37, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454946 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4506910\nAnswer: -4506910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -16. Let g be 2*n*(-48)\/64. Let d be (5 + -6)*(3 + -2). Is g >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 + 194 + 134)*(-2 + 0 + 0)*(0 - 1 - 1)*(0 + 2 - 4)*(2*q + 0*q + 2*q) to t + o*q and give o.\nAnswer: -11168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 19*v - 363. What is the remainder when 204 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let t be z(-6). Let s be ((-14)\/21)\/((-1)\/6). Let x = s + -3. What is the greatest common divisor of x and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 855.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88460790 - 253649.\nAnswer: -88714439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 1. Let m(y) = y**3 + 2*y**2 - 9*y + 23. Let s be m(-5). Let f be q(s). What is the highest common divisor of f and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 31 = s, -4*s - h + 34 = h. Let n(b) = -13*b + 174. Let a be n(10). Calculate the highest common factor of a and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 236937 and 426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51239 and 23.\nAnswer: 1178497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3*p\/(p\/(p*p\/((p\/(p\/((p**6\/p)\/p)*p*p*p*p))\/p))*p)*p**(-2)*p**(-5) assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d - 10 = 78. Let w(q) = 17*q**2 - 29*q**d + 13*q**2. Let s(y) = 31*y. Calculate s(w(g)).\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10*f - 5*f = -17, f = -v - 1. Let l = v - 6. Let j = 345.4 - 345. Which is the third smallest value? (a) l (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3213 + 1142344?\nAnswer: 1201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 732 + 5?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -512 - -516. Solve 5*t = -b*q + 1 - 28, -t + 5*q + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/15 - 4*g**3\/15 - 2*g**2\/5 - 13*g. Let f(m) = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(7 - 4 - 4)*(439*q - 40*q + 144*q).\nAnswer: -543*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7168, 7181, 7196, 7213, 7232?\n\"Answer: u**2 + 10*u + 7157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1010 - -5.\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1252 - -1369.2. Let y = 2.8 + o. Let r = 63 - y. Which is bigger: r or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -965135.843?\nAnswer: -965128.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2*m**3\/9 - 107*m**2\/3 + 220*m - 1471. What is s in k(s) = 0?\nAnswer: -110, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 789063 and 3?\nAnswer: 789063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15603 times 0.1?\nAnswer: -1560.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 738 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwyyyyeyeeeyeeee. What is prob of picking 2 e?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.367071713 to one decimal place.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2268\/18)\/(141\/47)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 5. Suppose 0 = -4*f + 2*d + 4, 4*f - 3*d = 2*d - 8. Suppose -6 = -3*a + a + p, -10 = -a - f*p. Let v be t(a). Which is smaller: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8746632\/49309 - -2306\/13. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219724976.\nAnswer: 2, 13732811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -20*b**2 - 14*b. Let w(l) = 7*l**2 + 5*l. Let n(m) = -5*s(m) - 14*w(m). Let g(i) = -i. Calculate g(n(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 + 90*o - 18. Let a be c(-18). Let p(d) = d**3 + 18*d**2 - d - 13. Let z be p(a). Solve 2*r = z*y - 17, 0 = -3*y - r - 4*r + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) 5 (c) -14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99724.06ml in litres?\nAnswer: 99.72406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 253\/3324 - -2\/277. Let u(z) be the third derivative of -1\/3*z**3 + 1\/8*z**4 + 0*z + z**2 + x*z**5 + 0. Let u(s) = 0. Calculate s.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*n = -24, 105*n = -u + 104*n - 8. Let t(j) = -j**3 - 6*j**2 + 17*j + 6. What is t(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2665?\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 + a - 2*a - 2*a + 548 - 37 as s + d*a and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -22. Suppose 5*x = -5*q + 4380, 0 = -q - 2 - b. Suppose 0 = -4*w + 1035 + x. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 65 = -5*s. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dscdmddz. Give prob of sequence dcsz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/8)\/f)\/((f*f**(1\/2))\/f))\/(f**5*f\/f**(-2\/9))*f**(-3)*f*f**(-7)*f**(1\/2)\/(f**3*f) assuming f is positive.\nAnswer: f**(-1429\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -115090, -230058, -345028, -460000, -574974, -689950?\n\"Answer: -b**2 - 114965*b - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {y: 1, p: 17}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = l - 3*l. Suppose u = 4*u + 111. Let o = l - u. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*v = 56, -3*q + 89 = -4*v + 5. Suppose -5*f = i + i - q, i = -5*f + 9. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -5 - -6) + ((10 - 20) + -1 - -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-35) - 19897\/(-1379)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 8, -6, 1 in ascending order.\nAnswer: -11, -6, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 273875 and 4675.\nAnswer: 51214625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 19*d + 29*d - 7*d + 138 = 0, -4 = -d for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + s - 30 = 0, s - 7 = -d + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21070564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k. Suppose k*o = o - 44. Suppose -w + 11 = 5*a - o, 29 = 2*a - w. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528074437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 1\/30*i**5 + 0*i - 26*i**2 + 0*i**4 - 2 + 0*i**3. Let c(j) = 161*j - 1. What is c(y(a))?\nAnswer: 322*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604093 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-105)\/(-12) - 3\/4. Suppose -h = -6*r + 2*r. What is the units digit of -2*r\/((-4)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 2\/3*c**3 - 1\/24*c**4 + 0 + 0*c + c**2. Is h(-12) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 317 + -323. What is the hundreds digit of (-22)\/(k\/(-14) + (-2067)\/3549)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273315.964 rounded to the nearest 1000?\nAnswer: -273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 67*m**2 + 2176*m - 2176*m. Let k(n) = 2*n**2. Calculate t(k(w)).\nAnswer: 268*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13127 and -5772.\nAnswer: -75769044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, w: 10}. What is prob of picking 3 t and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, j: 8, f: 1}. What is prob of sequence ffnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 - 93 = 4*z. Let r = z + -29. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/15021972 and -1\/31713052.\nAnswer: 285417468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119 - 115. Determine l, given that 0 + 4\/5*l**3 - 2\/5*l**2 + 0*l - 2\/5*l**m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*q + 2*s = 28, 0 = s - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 11:38 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5 + 2. Suppose -w + y*j + 2 = 0, 4*j = -1 - 3. Let g = 46.4 + -46. Which is the nearest to w? (a) g (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-12)*216\/63*26\/(-12)?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5794*h - 155733 - 135640 = -1114*h + 279587 for h.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 628, 706, 600, 310, -164?\n\"Answer: -92*y**2 + 354*y + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4642 + -1660. Suppose n = 2*m - 2090. Suppose -4*h = 2*j - 5082, 2*h + j - m = 5*j. What is h rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -69. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k - 1. Let g = -12 + 6. Let n(u) be the first derivative of -3*u**2 - u + 2. Give g*n(b) + 7*f(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - k - 1)*(24*k + 4 - 51*k + 23*k) + (-k + 4*k + 2*k)*(-2 + 2 + 2*k) + 4 - 4 - 2*k**2 + k**2 + k**2 - k**2.\nAnswer: 13*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10*12)\/((-1)\/((-20)\/6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o = o - 280 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4787 bigger than 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18381 less than 2194?\nAnswer: -16187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 284, -66, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 d, and 1 c when four letters picked without replacement from {w: 8, s: 1, r: 5, i: 3, c: 2, d: 1}.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7894 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**4 + 5*g**3 - 20*g**2 + 5. Let t(y) = y**4 - 6*y**3 + 20*y**2 - 6. Let w(u) = -6*p(u) - 5*t(u). What is the third derivative of w(a) wrt a?\nAnswer: 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 715 and 117865.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3231111 (base 4) to base 12\nAnswer: 8959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3235534l to millilitres.\nAnswer: 323.5534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*9 + (-7 - -12). Let v(x) = x**2 + 2*x + 3. Let z(b) = -b**2 - 3*b - 4. Let o(c) = -3*v(c) - 2*z(c). Give o(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 108669.874\nAnswer: 108669.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -97*q**3 + q. Let y(x) = x**3 - 2*x**2 + x - 1. Let i be y(1). Let d be b(i). Let o be 1*(d\/33 + -3). Is o at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 4:52 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/4)*o)**(-11)*((o*o*o\/(o*o*o**1)*o*o*o)\/o)\/o*o*o*o**(5\/4)*(o*o**(5\/6))\/o**2*((o\/o**(2\/9))\/o)\/(o*o**6) assuming o is positive.\nAnswer: o**(-403\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1900? (a) -2\/9 (b) -1\/4 (c) -23 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16519?\nAnswer: 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + 1.05. Let x(y) = y**2 - 3*y - 2. Let c be x(3). Which is bigger: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/120 + k**5\/30 + k**4\/4 + 2*k**3 + 9*k**2 - 4. List the prime factors of u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.48 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 6*g**2 - 2. Let c be s(-6). Let z be 4 + c - (8 - 0). Let l(f) = -14*f - 4. Let h be l(z). Round h to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/3007 and 19\/289912.\nAnswer: 28121464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 513903*y. Let f(m) = 17*m. What is f(u(o))?\nAnswer: 8736351*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -580, -869, -1186, -1543, -1952?\nAnswer: -2425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -771867*i**2 - 525432.\nAnswer: -1543734*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = -2*h, 14 = 5*n - 0*h - h. Suppose 7*j - 6 = 4*j. Factor -2 + 0 - q**n + 5*q - j*q.\nAnswer: -(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1878*-3\nAnswer: -5634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 - (-15 + 21 - 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*q = -10*q - 2220 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27778.601 rounded to the nearest one hundred?\nAnswer: -27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -647, -641, -625, -593, -539, -457, -341?\n\"Answer: f**3 - f**2 + 2*f - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7812 divided by 21\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02263664, -1.1, -0.5 in decreasing order.\nAnswer: -0.02263664, -0.5, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:49 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 9*l**2 + 9*l + 5. Let y be w(10). Let q = 8 + y. What is the greatest common divisor of q and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40214 divided by 20107?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*r + 343 + 12*r**2 - 915 + 85 - 9*r**2 wrt r?\nAnswer: 6*r - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.1 (c) 0.07 (d) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -462621278 take away -16865?\nAnswer: -462604413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 8) to base 10.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19250?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65.4 + 67. Which is the third smallest value? (a) 4 (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4438*q - 26669. Calculate h(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 709.69.\nAnswer: 70.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 - 7*w - 2. Let x(c) = -c**3 + 4*c + 1. What is -4*n(s) - 7*x(s)?\nAnswer: -s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -d - d + 14, 0 = 5*d - 5. Let j(q) = 3*q - 3*q - 3*q + 4. Does 14 divide j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-21)\/n*n**7*n)**(7\/4) assuming n is positive.\nAnswer: n**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13259?\nAnswer: 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 15) to base 14\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 0*c - 3*c + 5*c. Let r(l) = -l**3 - 6*l**2 + 6*l - 2. Let o be r(-7). What are the prime factors of a(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8259 divided by -2317.\nAnswer: 8259\/2317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**3\/3 - p**2\/2 - 2*p - 3. Let u be b(-3). Is (-194)\/(-5) - (-2)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**3 - 50*u**2 + 50. Let w(v) = -v**2 + 1. What is -l(d) + 50*w(d)?\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170006, 4, 131, -5 in descending order.\nAnswer: 170006, 131, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 468*y**2 - 93 wrt y.\nAnswer: 936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*((-429)\/(-9) - -1). Let q be x\/(-6) - (-1)\/(-3). Solve q = 4*u + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 12*a + 8257. Give t(-99).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.027 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amsmw. Give prob of sequence mwas.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 - 113. List the prime factors of q.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 370*p - 3850. Let n(f) = 148*f - 1573. Let g(z) = 5*j(z) - 12*n(z). Determine g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.480226 days in seconds?\nAnswer: 214291.5264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 96503584 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542117810.\nAnswer: 2, 5, 13, 379, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 16*y - 51. Let d(r) = 3*r - 10. Calculate -11*d(c) + 2*o(c).\nAnswer: -c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105433\/5361 + (-20)\/(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/(2\/8). Let i(x) = -x**2 + 4*x + 4. Let p be i(5). Put 3, p, n in decreasing order.\nAnswer: 3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 45782 - 1668 = -2*n, 0 = -n + b + 23710. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5\/2, -1\/5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 17. Suppose -z*d = -n - 528, 0 = -d + n - 0*n + 104. What are the prime factors of d?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -5.53774\nAnswer: 3.876418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/10)\/((h\/h**(-16))\/h)*(h*h\/(h\/((h\/h**(-3))\/h)*h))\/(h\/h**(-16)))**(-9) assuming h is positive.\nAnswer: h**(2673\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**3 - 14*z**2 + 14. Let s(m) be the second derivative of 3*m**5\/20 - 5*m**4\/12 + 5*m**2\/2 + 3*m. What is -5*h(u) + 14*s(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*f**6*u + 50*f**4*u + 32*f**2*u - 10*u - 1 wrt f?\nAnswer: 2400*f**3*u + 1200*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 2\/11 (c) 0.1 (d) -975.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33519 + -133131\/4. Let d = -235 + w. Let v = -109 + 760\/7. Sort d, -2, v.\nAnswer: -2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15384 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10)**(-3\/17)\/(k*k*k**(-24)*k*k*(k*k**(5\/3))\/k) assuming k is positive.\nAnswer: k**(845\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 828044?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (-1 + sqrt(275)*3))*-3 + (1*sqrt(88)*-6)\/(sqrt(16)\/(1*sqrt(2)) - sqrt(8) - sqrt(8)))**2.\nAnswer: -216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:13 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -498*b**4*h**2 - 22010*b**4 - 3353*b**2*h**2 - b**2 + 2*b*h**2 - 5*b*h + 2 wrt b?\nAnswer: -11952*b*h**2 - 528240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 8) in base 6?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001111100100110 (base 2) in base 9?\nAnswer: 121747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -26 (b) 39 (c) -0.3 (d) -0.5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 132?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 20*f**2 + 160*f.\nAnswer: -5*f*(f - 8)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25245.47639 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232310 + 122220?\nAnswer: 1021130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3\/6 - 11*u**2\/2 - 43*u. What is a(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5788692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171 + 242. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*p**2 + 137*p**2 + 264*p**2 + 182*p**2.\nAnswer: 717*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.5 - 17. Let i = n - 1.3. Which is the third smallest value? (a) 0.4 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*w**3*y + 2703*w**2 - 2234*w*y - w - y - 67 wrt w?\nAnswer: -96*w*y + 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 0.03?\nAnswer: 8.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 15443262?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8767, -17534, -26299, -35062, -43823, -52582, -61339?\n\"Answer: r**2 - 8770*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 1. Let f(j) = -12*j - 15. Let o(s) = -f(s) - 2*t(s). What is the first derivative of o(i) wrt i?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32643964.\nAnswer: 2, 8160991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 622.\nAnswer: 622.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68479813 and 22286.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15 - (-95 - -90))*(-2 + -13).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, g: 5, j: 2, i: 1}. What is prob of sequence ij?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (890\/(-8))\/(2\/(-8)). Let m = -795 + 795. Suppose m*a = -a + x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + -1 - (-6 - -3). Sort 2, -3, t in ascending order.\nAnswer: -3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 115*f. Let d(i) = 43269*i. Determine l(d(z)).\nAnswer: 4975935*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199 + -194. Which is greater: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 13) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 36*c**2 + 24*c - 18. Let p(y) = -70*y**2 - 44*y + 33. Let o(m) = -11*b(m) - 6*p(m). Let w(h) = -4*h - 6. Calculate o(w(t)).\nAnswer: 384*t**2 + 1152*t + 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -234601 plus -1137.6?\nAnswer: -235738.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*o - 20. Solve o*d = -2 - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -396 - -1151. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(20)*1 + (1 + sqrt(5))*-6 + 4.\nAnswer: -10*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3583, -3566, -3531, -3472, -3383, -3258, -3091?\n\"Answer: k**3 + 3*k**2 + k - 3588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8544*0.09.\nAnswer: 768.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*o**5\/11 + 2*o**4 - 10*o**3 - 14*o**2\/11 + 40*o\/11 - 8\/11 = 0 for o.\nAnswer: -1, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -21 - 23. Let y be (-1)\/((2\/2)\/(7 - v)). Solve -y = -4*m + 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*r**3 - 9*r**2 - 184073*r + 39621280 wrt r.\nAnswer: -15*r**2 - 18*r - 184073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55484)\/41613*(-18)\/(-56).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 - 13*v**2 - 9*v - 10. Let s be u(11). Suppose -5*k - 4*x - x = -s, 3*k + 5*x - 586 = 0. What are the prime factors of k?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + 23*c + 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -124, -217, -348, -529, -772, -1089?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 574054756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 58*j**2 + 15 + 14 in the form x*j + k*j**2 + w and give k.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 21488*k**2 - 6781324*k - 6759832.\nAnswer: 4*(k - 5671)*(k + 1)*(k + 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 9*a**2 - 9*a - 5. Let y be m(-8). Suppose -5*s + 204 = -3*s. Let o = s + y. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55406?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 2. Let g(f) = -f**2 - 3*f - 4 + 2 + 0*f. Let u be (-6)\/24 + (1 - (-45)\/(-12)). Let n = -1 + -1. Determine n*g(h) + u*q(h).\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/9*3\/((-9)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12 - 1014 = 5*d, 2*d - 2 = 0. Calculate the remainder when l is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j + 3*z - 9 = 0, 15 = 5*j + 5*z. Let m be (8*-4)\/(-4) + j. Is 218*2 + 8\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at least as big as 41812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46464 divided by -2112.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 10*k - 8. Let p be w(7). Suppose 2*g - s = -4, 4*g = 5*s - p - 7. Suppose 75 = -g*t + 5*t. Solve -4*q = -q - t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - -162. Find the second derivative of 7918*v**u - 7918*v**2 - 2*v**3 - 30*v - 1 wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684) + sqrt(684) + 3)**2*-2 - (sqrt(684) + (-1*-2*sqrt(684))**2 + (sqrt(684) - (sqrt(684) + 1)*3)).\nAnswer: -8255 - 234*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112 (base 3) in base 12?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.303\nAnswer: -1.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -6. Let y = i + 4.3. What is the smallest value in y, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 8282?\nAnswer: -28\/4141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (284\/7)\/2*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (-7 - (-7 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*r + r + 12, -9 = -r + 2*q. Calculate the common denominator of -27\/11 and 2\/(-142)*-15*r.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480489, -960981, -1441473?\nAnswer: -1921965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0482 - 0.0482. What is the nearest to q in -1, 1\/3, 8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -8, 138, 3, 2, -2, -49 in ascending order.\nAnswer: -49, -8, -2, 2, 3, 40, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + t - 3. Let r be u(2). Let y be 0\/r - (2 - 2). Suppose 0 = 4*j - 3 + 7. Put j, -5, y in increasing order.\nAnswer: -5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -23. Let t be 4\/(0 + (-6)\/45). Let l = o - t. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -5 (c) -7 (d) 3\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21217)\/91 + 14\/91. Let l = 243 + b. Calculate the greatest common factor of l and 380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -43\/12*o**4 + 0*o**2 - 28*o + 0 + 1\/3*o**3. Find the second derivative of b(s) wrt s.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 5*v + 2. Let q be u(-5). Let y(r) = -r + 3 + r - 4*r + 2*r**2 + r**3 - 3*r**q. Determine y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -13*u**5\/5 + 10*u**3\/3 + 33. What is the third derivative of t(q) wrt q?\nAnswer: -312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 598820 by 149705.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 11126592?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6735818936.\nAnswer: 2, 7, 11, 43, 109, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -18*b**3 + 16*b**3 - 9*b + 16*b**2 - 5*b + 2*b. Let w be f(7). What is the tens digit of 126\/(-49) + 2 - (-722)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(2 - 4 - 3)*(7 - 3 + 10)*(16*i + 6*i - 3*i) as w*i + f and give w.\nAnswer: -1330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3753.6443 rounded to the nearest ten?\nAnswer: -3750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w. Let j(k) = 305*k**2 - 3*k. Calculate x(j(f)).\nAnswer: -610*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:43 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 992.3 + 206.\nAnswer: 1198.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + f + 1. Let p be l(-1). Let c be (15\/(-9))\/(p\/9). Calculate the greatest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 4. What is the third derivative of g*c**3 + 1 + 7*c**2 - 1 wrt c?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210689*a**2*l**2 - 1345283*a**2 - 11*a*l**2 - 5*a*l wrt l.\nAnswer: 421378*a**2 - 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21219 = -700063*o + 699420*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31443 - -0.022.\nAnswer: 0.33643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-14 - -9 - -12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7 = 12. Solve -w*i = -2*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2) + ((-28 - -12) + 8 - -5 - -82)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 5. Let r be s(8). Sort r, -5, 3.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 + 4*c**2 + 13*c + 16. What is the units digit of a(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 4326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 8. Let a be c(-5). Suppose a*g - 5*g = -10. Suppose -33 = -g*j + 82. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 1. Let y(s) = -61*s - 44. Let f(d) = 2*b(d) - y(d). List the prime factors of f(4).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62059? (a) 1\/3 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 338027436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1404 = -3*k, 0 = 19*k - 18*k + 5*y - 430. What is the lowest common multiple of k and 4?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/((-32)\/6))\/((-1440)\/420) and -97\/464.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704587 to the power of 1\/2, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2 - 4472748*g + 4472750 = 0.\nAnswer: -2236375, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -415 <= -5071.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.5 - 33. What is the smallest value in 1, z, 0.5, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d + 5*m = -186, m - 51 = -d. Suppose 4*u = 5*l - 64, -u = -5*l + l + d. What is the derivative of -23 + 5 + l*w**2 - 7 - 2*w**2 wrt w?\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -738*f - 1439. What is s(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6533\/385 + 487\/35. Let z = v + 18\/5. Which is the biggest value? (a) 5 (b) z (c) -51 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -217563 - 3?\nAnswer: -217566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 2:21 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 9\/3)\/(-3). Suppose b = 3*w + 4*c - 27, -w - 2*w + 36 = c. Calculate the remainder when 63 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**2\/2 + 1. Let r(w) = 101 - 100*w**2 + 1 - 102. Calculate r(g(f)).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -760.573309 to two dps.\nAnswer: -760.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2. Let n(z) = 1681*z**2. Determine n(g(p)).\nAnswer: 1681*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 2\/7 - 37\/(-7). Determine r so that -129 - 4*r**v + 129 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156407 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5036435 to two dps.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1414, -2827, -4240, -5653?\n\"Answer: -1413*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7965611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 1 - 4*z**2 + 2 + 21*z**2 + 4.\nAnswer: 17*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 117*1\/(8 + -4 + -3). Calculate the highest common factor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271114432 divided by 4\nAnswer: -67778608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 175.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*z - z**4 + 1573 - 790 - 788 to the form a*z + x*z**2 + j*z**4 + l*z**3 + b and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 11*d - 32*d + 9*d + 19. Let p be i(5). What is the third biggest value in p, -9, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -7\/6*w**3 + 1\/60*w**5 + 0*w**4 + 0*w + 0 + 5*w**2. List the prime factors of z(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + l + 21 = 5*h, h - 5*l - 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1196537061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - 54. Let y be x(11). Which is greater: y or -324?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u. Let d be c(-1). Suppose 3*x = -4*n + 13, d*n = 2*n + 5*x - 17. Let f = 1 - -9. Solve 0 = 3*k - n + f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 34. Let q = -2.82 + -0.18. What is the third biggest value in q, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 4*w**3\/3 + 69*w**2\/2 - 1761*w + 1494. What is the first derivative of g(y) wrt y?\nAnswer: 8*y + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (-40 - (10 + -25)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000643691 to six dps.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqn when three letters picked without replacement from {q: 6, o: 9, x: 1, n: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbliubiibbibiibi. What is prob of sequence biui?\nAnswer: 7\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -869 (b) 2\/13 (c) -2 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.80028 and 175910431.\nAnswer: 175910430.19972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -9, 27 in ascending order.\nAnswer: -10, -9, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 6 + 18. Suppose c + s*c = 0. Let p(h) = h + h - h + c. Let d(t) = -2*t**2. Determine d(p(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -131? (a) -23 (b) 25 (c) -0.5 (d) 3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 550990.9 years?\nAnswer: 55099.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17043 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-55 + 0)*269*(-10)\/125*10.\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -564.96 + 565. Let l = -1 - 3. What is the smallest value in u, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*6\/(-4). Let z(o) = 2*o**2 - o - 5. Let g be z(0). Let w be 6\/(-15) + j\/g. Solve w*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020 + 17 - 2514 = 70*c - 717 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.857873428 + -26390?\nAnswer: -26385.142126572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0*w**2 - 7\/12*w**4 + 0*w**3 - 6*w + 0. Let k(g) = 7*g**2 - 422 - 4*g**2 + 422. Give c(k(d)).\nAnswer: -63*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 506, 85751, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b\/b**(-3)))\/(b\/(b*b**6)))**(-35)\/(((b\/(b*b**(1\/2)\/b))\/((b\/(b**(-1\/12)*b*b*b))\/b))\/((b*b*b**(-1\/4)\/b)\/b*b)**9) assuming b is positive.\nAnswer: b**(-305\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 7. Let h be o(-3). Let y be h\/(((-2)\/(-15))\/1*-5). Suppose -292 - 1253 = -y*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 9. What is b(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -30 - (6*10\/15 - 1). What is the tens digit of (6\/f - (-12382)\/(-22))\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - d = -8680000. What is d rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 19*k = 16*k - 6878, -2*a = -k - 13741. What are the prime factors of a?\nAnswer: 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/355 + -736\/4615. What is the nearest to -1 in r, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*a + 7 = 9, -4*z - 5*a + 42 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117224 and 1288?\nAnswer: 18873064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, x: 3}. What is prob of sequence yx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 10 + 4 + -1 + (5 - (22 + 11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 7, 4, -56, 0, 21 in descending order.\nAnswer: 26, 21, 7, 4, 0, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 5*b**2 - 5*b + 2. Let h be r(-4). Let m = 2 - -3. Suppose -m*o = -2*o - h. Solve -i + 11 = j - 5*i, o*j + 30 = -5*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*c + 55389 = -209*c - 669*c for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 14*m + 5. Let y be f(-14). Suppose 0 = l + 4*n - 7*n - y, 3*l - 2*n - 8 = 0. Solve -l*j - 2*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118543658 not equal to 118543657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yemyvmn. Give prob of picking 1 e and 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:39 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3331061 + -91.5\nAnswer: -3331152.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -255, -1943, -6485, -15309, -29843, -51515, -81753?\n\"Answer: -238*r**3 + r**2 - 25*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37\/7 - (-52)\/(-182). What is the derivative of 40 + 178*m**2 + 22 - 5*m + i*m - 44*m**2 wrt m?\nAnswer: 268*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-46)\/161*14\/22. Let g be (-6)\/10 + (-6)\/(-15). Which is bigger: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 19*q - 132. What is p(9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**3 - 7*u**2 - 10*u + 4. Let h be p(7). Suppose 2*y - 9*v = -7*v + h, 0 = 4*y + 3*v - 3963. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4 - 0. Suppose -9 - 7 = -s*y. Suppose k = 3*k - y. Solve -5*g + k*g = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43129377 to the power of 1\/2, to the nearest integer?\nAnswer: 6567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*c + 5 = 242*c. Suppose -x - c = -5*t, -x - 15 = -t - 22. Calculate the lowest common multiple of x and 103.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 6*h + 9. Let b be u(7). Suppose 0 = 2*q - 4*f - 26, 0 = q + b*f - 24 - 1. Let k = 49 - q. Calculate the remainder when k is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1119996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 145*x**3 - 44*x**2 + 20*x - 27. Let q(f) = -219*f**3 + 66*f**2 - 30*f + 40. Let y(l) = 8*o(l) + 5*q(l). Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/6)*w**(-2\/19)\/w)\/((w*w*w\/w**(-6)*w*w*w)\/((w\/w**(-2))\/w)) assuming w is positive.\nAnswer: w**(-1133\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28\/45 - -2\/9. Let w(h) = -6*h**2 + 86*h - 453. Let k be w(5). Is k smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + -3 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7406585kg to micrograms.\nAnswer: 740658500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472863 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29846 - -49392. What is the highest common divisor of 58 and c?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 3.58713?\nAnswer: -3.58713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 12*f**2 + 31*f - 32. Suppose 2*s - 4*n + 3*n + 31 = 0, 2*s - 3*n + 29 = 0. Let v be u(s). Let h = -287 + v. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -987 - -987.000844. Round k to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/3654 and 25\/23957262.\nAnswer: 694760598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, s: 15}. What is prob of picking 1 s and 3 i?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -337 (base 13) to base 5\nAnswer: -4203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/5 - 26712*k**4\/5 + 533658*k**3\/5 - 2907284*k**2\/5 + 95760*k + 17283456\/5 = 0.\nAnswer: -2, 4, 9, 13336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -204 - -523. Let i = -323 + n. Sort 0.2, 2\/19, i, -0.2.\nAnswer: i, -0.2, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9303\/8 or -1163?\nAnswer: -1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = -6*k - 151. Let y = k + 57. What is the units digit of y\/(-10) + (-1626)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -r + 9, -3*r - 3*i + 21 = 0. What is the remainder when 39 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -51 + 26 - (14 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/624 and 23\/48.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17129797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2255378 or -23?\nAnswer: 2255378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t - 63. Let l be h(6). Suppose l*o + 1711 = 5*f, 8 = -11*o + 7*o. List the prime factors of f.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, 7, 38, 87, 160, 263, 402?\n\"Answer: q**3 + 12*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 994*v**4 + 1 - 945*v**4 + v**2 + 3 to the form s*v**2 + g + j*v + d*v**3 + u*v**4 and give u.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-24)*(-8)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(38) - sqrt(38) - sqrt(38) - sqrt(38)) + sqrt(38))*-1)\/(sqrt(2) + 6*(sqrt(6)\/sqrt(3) - sqrt(2))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 8:59 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.709 to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 11*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.19 - 6.89. Let r = 8 - 8. Which is the fourth biggest value? (a) r (b) 2\/5 (c) h (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(720) + -2 + sqrt(720) - sqrt(720) - sqrt(720)*-1*-4 - (sqrt(720) + -1 + 3 + sqrt(720) + 5))**2.\nAnswer: -36098 - 1680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/(-58) - -2)*(-6 - (-3 + -5))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1426)\/774 - -1) + (-40)\/860.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -5, 2.\nAnswer: -64, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 277620 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-294)\/(-1078))\/(3\/77).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8 - 4) + -1 - 2) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2, 71.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f - 2*f**2)*(-31 + 24 - 15)*(-4*f - f + 4*f).\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 72*p**2 + 0*p - 46*p**2.\nAnswer: 26*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 45 - 255. Is x <= 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-8) - (-4965)\/(-22). Let t = v - -224. Which is the nearest to -2\/9? (a) 0.3 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17622547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**7\/6 - m**6\/120 - 17*m**3\/3 - 45*m**2. Differentiate s(o) wrt o.\nAnswer: -140*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**12)*n)*n)\/n**(-2\/33))**(-38)\/(n*n\/(n*n**(2\/7)*n*n)*n**(3\/7)\/n)**27 assuming n is positive.\nAnswer: n**(-103063\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68 - 49a5?\nAnswer: -493c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 339183824 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: What is 9 times -4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 3*y + 12. Calculate the least common multiple of 2 and s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d = 40*d + 60. Sort 4, d, 3, -55 in ascending order.\nAnswer: -55, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1737089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102823*d**5 - 9679*d**2 + 1 wrt d?\nAnswer: 6169380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*p - 46*p + 8*p + 1020 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8263983*i**2*n**2 + 10*i**2 + 232752279*n**2 wrt i.\nAnswer: 16527966*i*n**2 + 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 53, 102, 149, 194?\n\"Answer: -u**2 + 54*u - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(2\/5)*n**(1\/4)*n*n*n**(-5\/3)*n**(-8))\/(n**0\/(n*n*n\/n**(-2\/19))*(n**0)**14) assuming n is positive.\nAnswer: n**(-2179\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -0.2 (c) -2\/15 (d) 4080\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/4 - 3*w**3 - 26*w. What is the second derivative of x(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20022101 (base 3) to base 9\nAnswer: 6271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-59)\/4)\/(6\/24). Let a = -60 - v. Is a\/2*(-4 - 442) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 + 6402*d**2 + 6830934*d + 2429535526 = 0 for d.\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 9*m**2 + 2*m + 9. Let b be j(9). Suppose 0 = -2*s + b + 23. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 4\/7 - 2. Let d = 13 - 14. Put k, -4\/3, d in increasing order.\nAnswer: -4\/3, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 12. Let u be (-1 - 6)*(-20 + 22). Let s be a(u). Is 26355\/18 + 7 - s\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1359635238 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 502 - 537. What is the nearest to -2\/7 in -3, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -5, 0.4, -83, 25, -4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -x + 1, 0*o = 2*x - o - 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 - -1354\/7. Let f = 567 - 20. Let c = f + -547.3. Sort j, 3, c, 0.04.\nAnswer: c, 0.04, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291342498.\nAnswer: 2, 3, 17, 1217, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 73*i**7\/21 + 2*i**3\/3 + 7*i**2\/2 + 192*i. Find the second derivative of h(c) wrt c.\nAnswer: 2920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*y - 2*y**2 + 7 + 1 - 119*y to the form h*y**2 + v + s*y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/3)\/2 - (5 - 5). Let x(w) be the first derivative of 2\/3*w - 4 + l*w**2 - 2\/9*w**3. Factor x(a).\nAnswer: -2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u + 0 + 1\/70*u**5 - 1\/14*u**4 + 1\/7*u**3 - 1\/7*u**2. Let b(f) = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {v: 6, m: 1, b: 1, d: 4, s: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 16*r**2 + 15*r - 15. What is j(-15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 + u - 1. Let x be t(1). Let i(n) = n**3 - 6*n**2 + 5*n + 3. Let k be i(x). Let f be (-1)\/k - (-10)\/3. Solve -f*y = 7 + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 47*k**2 - 82*k - 246. What are the prime factors of l(43)?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -13244?\nAnswer: 13236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44019.823 less than 392.98?\nAnswer: -43626.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*p - 10*p**3 + 7 - 2*p**3 - 83*p + 5*p**3 to b*p**2 + m*p + z*p**3 + j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2000120 (base 3) to base 8\nAnswer: 2701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 2*v - 3, -1 = j - 4*v + 20 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2299) + -1 + sqrt(2299)) - ((sqrt(19)*-1)**2*-5 + 1).\nAnswer: 91 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -27. Suppose 3*f - 63 = -z*f. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -2 + 15 + 0\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 1. Let r(d) = -2*d - 9. Let t(f) = -2*f - 8. Let k(n) = 5*r(n) - 6*t(n). Calculate -4*g(q) + k(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 2:02 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 212.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202*g**4 - 345*g**3 + 226*g**2 + 2*g + 523 wrt g.\nAnswer: -4848*g - 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k, -t - 2*k - 1 + 29 = 0. Suppose -u + t = u. Let f = -14 + u. Solve f = -2*y + 4*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - q + 1. Let p(r) = 5*r**2 + 47*r. What is p(g) + 2*x(g)?\nAnswer: g**2 + 45*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120870190 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2678606, -5357322, -8036038, -10714754, -13393470?\nAnswer: -16072186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 256614?\nAnswer: -256617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*w - 93, -3*c = 1 + 2. Let h = -13 + w. Suppose -4*z - 10 = 2*m, -4*m - 20 = 2*z + 2*z. Solve 2*q - 4*f + 6 = 4*q, -3*q - h*f + 7 = z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/105)\/(j\/((j**(-15)*j)\/j)) assuming j is positive.\nAnswer: j**(-1678\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n + u, 5*n - 9*u = -11*u + 25. Suppose 8*j = 3*j - 5*x + 10, 5*x = 5*j + 10. Solve -m + j*m + 3*y = -n, -1 = y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148 + -146. Suppose 0 = -c + 3*c + 4. Sort -5, s, c in increasing order.\nAnswer: -5, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 24*v - 132. Let i be p(-8). Let w(t) = -2*t**2 - 6*t + 9. Give w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose 0 = -o*l - 5 + 175. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11174 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*t + 11*p, -40 = -22*t + 30*t + 5*p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -20*t - 17. Let z(y) = -7*y - 6. Let j(u) = -6*s(u) + 17*z(u). Let x(p) be the second derivative of 0*p**2 + 0 + 2\/3*p**3 - 6*p. Give x(j(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255087 is divided by 201?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -275659, -275597, -275413, -275047, -274439?\n\"Answer: 10*h**3 + h**2 - 11*h - 275659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28961007*g**4 + 11264471*g**2?\nAnswer: -695064168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (70 + -53 - 40)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2168*l + 1191*l + 3488*l + 4287*l + 9063*l + (-2*l + 0*l + 0*l)*(2 - 2 - 2) + 0 - l + 0 to the form z*l + u and give z.\nAnswer: 20200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -1152676.434 less than 0?\nAnswer: 1152676.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + -67 + (-5 - 25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -15\/2*p**2 + 0 + 5*p = 0. Calculate p.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 21*j**2 - 9*j**2 - 13*j**2. Let m(s) be the first derivative of s**2 + 1. Calculate m(c(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3 + 2*sqrt(108) + sqrt(108))*-3)**2 + 0 + 3 + -4.\nAnswer: -972*sqrt(3) + 8833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 14*y - 12*y + (-57 - 9 - 30)*(-4 - 3*y + 6 + 2*y) to z + t*y and give t.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 5 - (-1 + 12) - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 + 246. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*n = 6*o - 15, -5*o + 2*n = -14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13f (base 16) to base 6.\nAnswer: -1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -43.7. Which is the second biggest value? (a) 3\/4 (b) z (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26211216 to the power of 1\/2, to the nearest integer?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*b - 125*b - 2*f + 2 = 0, -2*b + 1 = -f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppiippppppppppi. What is prob of picking 3 p?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 9*j + 7. Let o be i(-7). Let a(x) = 39*x - 12. Let z be a(-3). Let f be (-602)\/z*9\/((-2)\/(-2)). What is the highest common factor of o and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -1)*(-21)\/(1260\/(-1480)). Solve -n*k - 176 = 46 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 25*g**3 - 3*g**2 + 13*g + 3. Calculate the remainder when 2779 is divided by s(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 j when four letters picked without replacement from qjjajlqjj.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-3 + 8 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -2\/35, 1, 1040?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0.5, -0.4, 5, 37, -0.2.\nAnswer: -16, -0.4, -0.2, 0.5, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(152))\/sqrt(8) - sqrt(19)) + 5 + 3*sqrt(171) + 1 + 0.\nAnswer: 6 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -236 and 3637.\nAnswer: 3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -580.9 + 581. Put -3\/2, -76, f in descending order.\nAnswer: f, -3\/2, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 + -119. Solve -2*u - 3 = o - y, 0 = -4*o - u + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s - 20. Suppose 0 = a - 5 - 0. Suppose 86 = 4*i - a*t, 5*i - s*t = 44 + 59. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 8*v + 1. Let t be b(-8). Let z be 6 + -3 + t + 1. Suppose z*x - 336 = -3*x. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*h = 11, -2*o + 15 = -7*o - 5*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484174 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-140)*(-5)\/(25\/(-20))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65457, -65759, -66263, -66969, -67877, -68987, -70299?\nAnswer: -71813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1a6 (base 12) to base 7\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 8*x + 10. Let i be h(-8). Let o = -4 + 8. Suppose -4*n + 4*g + 10 = -n, 5*g + 5 = 0. Solve n*f = o*f + i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 - p**4 + 2*p**4)*(-23363 + 23363 - 710*p).\nAnswer: -710*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106991879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 11. Let v = -13 + 5. Let x be m(v). Let l(q) = -q**2 + 17*q + 25. Let k be l(18). Solve x*u = -k - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-4))\/((-1)\/12). Let f be (1616\/(-24))\/(2\/(-3)). Let v = f + d. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722305 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34716 + 12.496.\nAnswer: 34728.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548930, -548924, -548914, -548900, -548882?\nAnswer: -548860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0.16, -1, 7.8, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*u + 7 = 57, 5*u - 40 = -4*a. Let q = -4 - -6. Suppose s = -q*o + 5*o - a, -4*o + 22 = 3*s. Solve -s*t + 3 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/7979 and 41\/79?\nAnswer: 7979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -3\/2, -0.4, -28\/3?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 173376 and 239909716.\nAnswer: 240083092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*j - 4*j + 105 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811503?\nAnswer: 17, 23, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -w - 324. Let j = -125 - w. Suppose -j - 4 = -4*f. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132912)\/(-42588) + 8\/26)\/((-5)\/((-140)\/8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25422, -50930, -76438, -101946, -127454?\nAnswer: -152962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - 5. Let l = d - -44. Sort l, 44, -0.1 in ascending order.\nAnswer: -0.1, l, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5810455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f**3 - f**2 - f + 1. Suppose 0 = d + 4*n - 1, d + n + 3 = 4*d. What is the remainder when 41 is divided by q(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2595, 10392, 23349, 41436, 64623, 92880, 126177?\n\"Answer: -5*i**3 + 2610*i**2 + 2*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.41 + -93. Let c = m - 0.01. Let h be (12\/4)\/(1*-4). Put c, h, 2\/7 in descending order.\nAnswer: c, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 0, 31609 = 9*s - 8*s + 2*j. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 25 = -5*h - 3*d, 3*h - 5*d + 17 = 0. Let n(m) = 3*m - 25. What is the least common multiple of h and n(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-4)\/(-4) + 49. Suppose -160 = -5*i + 4*x, 3*i - q = 2*i + 4*x. Let c(g) = 5*g**3 - g**2 + 1. Calculate the remainder when i is divided by c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-2)*(-24)\/14. What is the first derivative of -f*k - k + 2 + 5*k + 3*k wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 845208 and 1470987.\nAnswer: 8127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1041 + 1040. Put y, 0.3, 0.1, 0.2, 98 in increasing order.\nAnswer: y, 0.1, 0.2, 0.3, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.1. Let m be 3\/(-1 + 2\/8). Let u be (-7)\/(28\/20) + (-629)\/(-119). What is the nearest to w in m, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 minutes after 3:46 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-12)*((-918)\/156 - -6). What is the third smallest value in -1\/2, 2\/15, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 divided by 223?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 169 times 9808\nAnswer: 1657552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 314380989 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 25*f + 2. Suppose 172 = 7*z - 3. Let d be m(z). Solve 5*b - 11 = d*c, -4*c - b - 2*b - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11192\/31 + -361. Let i = 3\/181 - 917\/724. Which is the nearest to z? (a) i (b) 0.1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.076\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22411 - 6012. List the prime factors of l.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.5 - -30.6. Let q = -11 - -11.061. Let u = -0.461 + q. What is the nearest to -0.02 in n, u, 4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/3 + 4*s**2\/3 - s\/3 - 2 = 0 for s.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 549226291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5756 * 16.\nAnswer: -92096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288427 - 109953. Let q = x - 11779021\/66. Let p = -42\/11 + q. What is the nearest to 1 in p, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52592\/3460 + 0 + -11\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -18*p + 28. Is a(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13535 (base 9) to base 11.\nAnswer: 69a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*t + 9*t - 36*t - 3*t**2.\nAnswer: -3*t**2 + 152*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16895, 40451, 64007?\n\"Answer: 23556*z - 6661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5803 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 42.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2939*-2744.65\nAnswer: 8066526.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2236 - -3208. Is 972 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -125326 - -6?\nAnswer: -125320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -95*k**2. Let s(m) = -17*m**2 + 22*m + 11. Let g = -162 + 151. Let j(p) = 6*p**2 - 8*p - 4. Let z(w) = g*j(w) - 4*s(w). What is t(z(o))?\nAnswer: -380*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 3, -39, 231 in ascending order.\nAnswer: -39, -1, 1, 3, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 1581 = -1569 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - g = -7, 3*g - 2 = -i - 3. Factor i*h**3 + 0*h**3 + 6*h + 11*h**2 - 2 - 17*h**2.\nAnswer: 2*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - c - 22 = -9*i, -4*i - c = 44. Let q(b) be the second derivative of -b**3\/6 - 7*b**2\/2 - 13*b. Determine q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -383\/29 or -14?\nAnswer: -383\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 2\/5*b**5 + 49*b**3 + 0*b**2 + 125 + 33\/4*b**4 + 0*b. What is the third derivative of k(p) wrt p?\nAnswer: 48*p + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69, 238, 485, 804, 1189?\n\"Answer: -p**3 + 45*p**2 + 41*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnttilnttneeeennnnen. Give prob of sequence let.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45291851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667455.\nAnswer: 5, 333491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhahhhhhhahhh. What is prob of sequence ha?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-6) - (-4)\/6. Let i be 1*15 + (26 - 37). Suppose -23950 = -i*z - t*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 39134 - 9032. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23330, -46673, -70004, -93323, -116630, -139925, -163208?\n\"Answer: 6*m**2 - 23361*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/125*(-64)\/12)\/(12\/10).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3348 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1780*w**2 + 8*w - 61. Is z(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 8*u - 136. Let f = u + 40. Suppose f + 3 = 3*p. Solve -p*n - 8 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*x + 44082, 17630 = 151*x - 149*x - k. What are the prime factors of x?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 4*s + 0*s)*(-5 + 1 - 6).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24195*f - 24666*f - 3297 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 59952\/14 - (-64)\/(-224). Suppose 7*o - 359 = n. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + x**2 - 22*x - 259. Determine w(0).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:02 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529*v - 2212855 + 1191300 = 1799602. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b97b4 + 2?\nAnswer: -5b97b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18041604 by 368196.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.287 (b) 2\/27 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 7*t + 19. Let d be q(-12). Let c = -91 - d. Let j be (-2)\/5 - c\/125. Solve 0 = w - j*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = l, 25 = -l - 0*q + 3*q. Let o(w) = -w**3 - 11*w**2 - 7*w + 11. Let t = -635\/102 + 222\/17. What is the common denominator of t and o(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -3)*14\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6889 and 976228.6731?\nAnswer: 983117.6731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/19, -0.8, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020435 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -2\/15, 0.4, 8 in descending order.\nAnswer: 8, 0.4, -2\/15, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9996 is divided by 261?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2614031*m**2*q - 338309192*m**2 + 5*m*q wrt q?\nAnswer: -2614031*m**2 + 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 41*b**2 + 0 - 34\/3*b**3 + 108*b. What is the first derivative of g(c) wrt c?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w + 63 + 2 = 0. Sort w, 4, 1, -11 in ascending order.\nAnswer: -11, w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 107*s**2. Let u(l) = l. Determine y(u(p)).\nAnswer: 107*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5183 = 6*r - 5177. Let s(o) = -o**2. Let j(f) = 13*f**3 - 3*f**2. Determine r*j(n) + 3*s(n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkk when three letters picked without replacement from kklklbkbklklb.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/4 of a year?\nAnswer: 177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 10*f = -4*f + 323 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*a + 100 - 3 + 152 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 912946273 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-95)*(3 + 3*164\/(-64))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bboaaabboobbaoooooo. Give prob of picking 1 b and 3 o.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -103cacc4?\nAnswer: -103cacc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 586 + -325. Let n = h + -1308\/5. What is the second smallest value in n, -2, 2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 0*v + 2*v**2 + 0*v - 1. Let w(k) = 5*k**2 + 7*k - 9. Let m(h) = -4*h**2 - 6*h + 7. Let f(d) = -4*m(d) - 3*w(d). Calculate 4*f(l) - 3*g(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 1 = -c, -23*l - 983 = -2*c - 966 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*j - 8 = 0, -2*j = 6*s - 3*s + 1. Does 1 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 425 divided by 13\nAnswer: 425\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2804*t**3 - 6*t**2 - 854. Let u(f) = -5612*f**3 - 10*f**2 - 1708. Let j(d) = -5*h(d) + 3*u(d). What is the derivative of j(q) wrt q?\nAnswer: -8448*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2122 (base 3) to base 5\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - f. Let l(n) = -7*n**2 + 5*n - 2. Let t = 44 - 42. Suppose 0 = -t*y - 3 + 13. Give y*z(v) + l(v).\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = -12. Suppose -2*k - 973706 = -4*x, 3*x + g*k = 433163 + 297127. Suppose 8*a = -x + 28643428. Round a to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -20, -6\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, -5, 285?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 372555 and 7904010?\nAnswer: 403104510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4 - 3*l - 45*l + 48 - 62*l + 19*l. Is c(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 160 - -105. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 4. Let b = 29 + -33. Give a(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = -5. Solve 4*k + y + 11 = -8, 0 = -w*k + 2*y - 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 + 22 = 17*y + 25 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**2 + 136*p - 923. Calculate the remainder when w(7) is divided by 111.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yutuyytayyutyy. Give prob of picking 1 t and 1 y.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3\/4 + 0*o**2 + 3\/2*o**3 + 3\/4*o**4 - 3\/2*o = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 207\/4. Let r = -3.2 + 3. What is the closest to s in -2\/3, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 36. Let d be (a - -10)\/((-2)\/2). Solve r + 2 = d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - r**2 + 116*r**3 - 226*r**3 + 114*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185858 and 114.\nAnswer: 557574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1507? (a) -0.038 (b) -5\/2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z. Let p(o) = -16*o - 3. Determine b(p(q)).\nAnswer: -32*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2466646842 * 4\nAnswer: 9866587368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0*8\/(400\/10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861724918?\nAnswer: 2, 31, 61, 227849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 335538694 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1788286190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide (-28 - (-1581)\/62)*9924\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*f + 59 - 148 - 12*f + 73 + 72*f in the form w*f + h and give w.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700 + 6*s**2 + 700.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54995884399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**3\/6 - 2*o**2 + 7123*o. Let q(i) = -6*i**2 + 3. Give s(q(c)).\nAnswer: 6*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 6363 - 547. Suppose y = -8*h + 78. Round h to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - 10. Let k = 44 + o. Solve 4*j - 4 = k*r, -5*j - 2*r + 20 = 3*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7884 by 2.\nAnswer: -3942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(8\/18)*(-8)\/6. Find the third derivative of -s**3 + 331*s**6 + s**3 + s**2 - 232*s**u + 7 + 0*s**3 wrt s.\nAnswer: 11880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.58175nm to kilometers.\nAnswer: 0.00000000000258175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 271*k**2 - 2689*k\/2 + 1074.\nAnswer: -(k - 537)*(k - 4)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 a when three letters picked without replacement from {z: 1, a: 4, l: 6}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.60487 + -0.05487. Round y to 0 dps.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**2 + 87200*d - 5074420 = 0.\nAnswer: -17498, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 693718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -3, 1759, -19, -2.\nAnswer: -73, -19, -3, -2, 1759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 23) + (-23 - (13 - 25)) + 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 + 11*i**2 + 4*i**2 + 22*i**3.\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.500076 - -9.5. Round j to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 2\/9 (b) 2 (c) 4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 70670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 + 0.11. Suppose -22*f + 10 + 3 + 31 = 0. Which is the closest to 7? (a) j (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-5\/3)*t**17\/t)\/(t**(-12\/5)\/t**(-23)))**(-33) assuming t is positive.\nAnswer: t**(319\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44737)\/(-12201))\/(-1*2\/24)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 74 = -2*h, -45 = -f - 2*f + 2*h. Suppose -2*i = -3*b - f, i + i + b = 5. Factor -24\/5*j**i + 0 + 24\/5*j**2 - 8\/5*j - 8\/5*j**5 - 2\/5*j**3.\nAnswer: -2*j*(j + 2)**2*(2*j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 1. Suppose -3*v + 2*z - 4*z + 5 = 0, 0 = v + x*z + 7. Suppose 0 = v*c + 5*o - 205 + 58, 4*o + 245 = 5*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 610 + -283. Let u = w + -50. Let i = u + -281.07. What is i rounded to one decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342b (base 12) to base 3.\nAnswer: -21221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 125 = -m - 28*o, 0 = -2*m - 4*o + 252. Calculate the greatest common divisor of m and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x**3 + x - 1. Suppose 27*w - 25*w - 2 = 0. Determine g(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-10) + (-25125)\/(-11250). What is the fourth biggest value in u, 0.4, -3, -0.3, -259?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5071352 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/42*(1408\/(-11))\/16?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/4 - (-48)\/1. Let b = t + -7. What is the common denominator of 15\/26 and 19\/7*b\/26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - (-3)\/2. Is 2 - (-15 - (n + -2)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + sqrt(1584) + sqrt(1584) + (1*1*sqrt(1584) - sqrt(1584)))*4)**2.\nAnswer: -1536*sqrt(11) + 101440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1061*g - 2756*g = -81360 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -643 take away 1852761.1?\nAnswer: -1853404.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3 + 5748*w**2 - 11013168*w + 7033743296 = 0.\nAnswer: 1916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 680*r**2 - 25*r - 224*r + 252*r to the form p*r**2 + h + c*r and give p.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.178 + 5.17802753. What is y rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 211.62\nAnswer: -5502.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = 2*o. Suppose o*y - 10 = -2*y. Determine v, given that -5*v - 2*v + 3*v**y + 13*v - 9 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let d = -15 + 17. Let y(o) = 9*o**2 - 2 + 2 - 11*o**d. What is i(y(r))?\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20627020?\nAnswer: 2, 5, 113, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 0, 0 = v + p - 2 - 0. Suppose 5*d + v*s - 6 = 0, -4*d + 16 = -s - 3*s. Let w = 21 + -17. Solve -5*c + d = -c - l, 0 = c + w*l - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w - w - 5*w)*(-1 + 0 - 1) + 2 + 4*w - 2)*(-2*w + 0*w + 5*w).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165.3 + 147. Let o = -18 - l. Which is the second smallest value? (a) o (b) -0.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1548564920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*l - 16*l + 336*l + 226*l to the form w + z*l and give z.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u + 17 = 8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 - 33*b**2 - 251 + 22*b**2 - 13*b**2 + 12*b**2.\nAnswer: -4*b**2 - 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -8. Suppose -c - 2*n - 138004 = -3*c, w*c + 5*n = 275990. Suppose -m + c = 2*m. What is m rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2176.1771 + 2176. Let n = 0.189 + c. Round n to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11336 + -11292. Sort 5, s, 14.\nAnswer: 5, 14, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y - 72. Does 26 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 16 = -254 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 79?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f - 30. Give p(7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(2\/(-8)))\/((-10)\/(-5)). Is -3 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -32. Solve -x + 2*x + q = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231935 rounded to the nearest one hundred?\nAnswer: -231900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560) - (sqrt(560) - -3*sqrt(560)))\/(-2*sqrt(28)\/sqrt(4)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.9 + 639756406.\nAnswer: 639756376.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1053 divided by -9\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/2, -1, -2, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 4:31 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3 + 363929*q**2 + 2*q + 545038 wrt q.\nAnswer: 3*q**2 + 727858*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947393 is divided by 947385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 9:39 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2185445 divided by 5\nAnswer: -437089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -903, -1354, -1811, -2280, -2767?\nAnswer: -3278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15088 or 14529?\nAnswer: 15088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 6*b + 6. What is c(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2270 is divided by 73.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1614 - -4?\nAnswer: -1610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 61*u - 17 + 20 + 1122*u to the form j + y*u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16702571?\nAnswer: 16702571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5633 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 1:06 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/39 and -31\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -1)*-2.\nAnswer: -8*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19796, -19789, -19782?\nAnswer: -19775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4\/6 - 871*z**3\/3 + 46387*z**2\/2 - 542436*z + 213282 = 0 for z.\nAnswer: 2\/5, 51, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + j - 6, -3*m + 5*j = 44 + 58 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/7*d**3 + 0*d - 4\/7*d**5 + 0 + 8\/7*d**4 - 32\/7*d**2 = 0 for d.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-507*d + 299*d + 404*d)*(-7 - 2 + 1)*(-d**4 + 0*d**4 - d**4).\nAnswer: 3136*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.14 + 5.14. What is the third biggest value in q, 0, 1\/28, -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 13*i**2 - 21*i + 11. Suppose 554*u + 110 = 544*u. Let t be d(u). Solve 0 = -t*x + 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 21854\/3)*(-1)\/95. Let w = c - 1512\/19. What is the common denominator of w and 22\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 1004*c - 940*c - 12 - 8 + 1998*c + 31.\nAnswer: 54*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -33588 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2488 or 560?\nAnswer: -2488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 7*o**2 + 3*o - 8. Let n be b(-6). Let f be 6\/n + 2400009\/(-15). Round f to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 1\/2 (c) -5 (d) 2\/305 (e) 3\/4 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {l: 4, w: 2, m: 1, r: 9, x: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, 2\/15, 1158492?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) -4 (b) -1\/5 (c) -3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00315423811 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)*3)\/(sqrt(45)\/sqrt(36))*-3.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34 + 6 + 6\/(-3). Suppose 0*r = 2*r - v. Suppose 5*d - 11 = r. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 4*c + 196. Let m(p) = -4*p + 2*p + p + 7. Give -3*m(l) + 5*u(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**4\/12 + y**3\/2 + y**2 - y. Let i be h(-3). Suppose -i*w + 10 = -0. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3726 and 81.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g + 7*g**2 - 6 + 6 wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/829725 and -115\/5772.\nAnswer: 3318900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u - 3*b + 12 = 0, 8 = 3*u + 2*b. What is the second derivative of -23*a**4 + 6*a**2 + u*a**2 - 6*a**2 - 20*a wrt a?\nAnswer: -276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35\/4 + 97\/12. Let d be ((-1)\/4)\/((-7)\/(-8)). Which is the nearest to z? (a) -4 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6694 + 2515. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 7:07 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -2*k - 41 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110120 - -133012?\nAnswer: 303132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1533 + 46.2867. Let i = 40 - p. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 205 (b) 123\/2 (c) 1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -7*b**3\/6 - b**2\/2 - 1829*b. Let y(o) = -22*o. Determine l(y(z)).\nAnswer: 154*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c. Let i(q) be the second derivative of 27*q + 0 + 5\/6*q**3 + 0*q**2. Give i(z(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 + 15?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/421 and 37\/8.\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4980, -5021, -5050, -5067, -5072, -5065, -5046?\nAnswer: -5015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 7*z - z)*(-5*z**2 + 5*z**2 - z**3) + 3*z**4 - 2*z**4 + 3*z**4.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqxxynyyndkqndk. What is prob of picking 1 q, 1 n, and 1 d?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -i + 4 + 5, -5*t + 5 = -5*i. Let c be ((-4)\/(-3))\/(t\/3). Suppose 15 = -15*k - 15. Sort k, c, 11 in decreasing order.\nAnswer: 11, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*m - 2*n, -3*m + n = -55 + 72 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, -12, -0.5, -22, 2\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14785 - 14786. Sort -1\/6, 53, n.\nAnswer: n, -1\/6, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2529 (base 13) to base 3.\nAnswer: -21020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/91 and 18\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -362*v. Let q(d) = -9*d. Determine q(z(w)).\nAnswer: 3258*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwd when three letters picked without replacement from {a: 4, d: 1, l: 4, q: 5, w: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u + 11*u + 15*u)*(0 + 4 - 2).\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -9*d**3\/7 + 24*d**2 - 15*d - 54\/7 = 0.\nAnswer: -1\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 228. Let f = -101 - w. What is the second derivative of 0*x - 4*x + f*x**5 + 12*x**5 + x**5 wrt x?\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44533.44 to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1108.38 - 1402.7. Let d = 287 + n. Let t = -8.1 - d. Round t to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2\/13, 6\/59, 5 in ascending order.\nAnswer: -3\/5, 6\/59, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 2*f**2 + 4*f + 6. Let x be n(-3). Let c = x - -17. Solve -b = c*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 12*l - l**2 + l**3 + 1 + 0*l**3. What is the tens digit of w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1336 + 201*n**2 + 1336 + (3 + n - 3)*(-n + 2*n + n) + n**2 - 5*n + 5*n + 2*n + n**2 - 2*n - 1 + 2*n**2 + 1.\nAnswer: 207*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -16*d - 140. What is the closest to 0 in 1\/5, -4, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 19. Suppose -2*w = 4*p - 6, 3*w + a = -2*p - 1. Suppose -2*v - v = 12, -8104 = p*n - 4*v. Round n to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o*r**3 - 39732647*o + 8331405*r**3 with respect to r.\nAnswer: 6*o*r**2 + 24994215*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1060 - 67\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2 + 7*y + 12. Let w(u) = -4*u**2 + 6*u + 10. Let a(r) = -4*n(r) + 5*w(r). What is a(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3)*3)**2 + (sqrt(54)\/sqrt(2))\/sqrt(9))*1.\nAnswer: sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2. Let x(i) = 15*i**2 + i. Let w(b) = 9*o(b) + 4*x(b). What is the second derivative of w(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5753.\nAnswer: 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:28 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -499.9245 - -500. What is f rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (126\/(-105))\/(1\/25). Let o be (-132)\/w - (-6)\/(-15). Solve 3*s + o = 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -12. Let w = -2 - d. Let t be 3\/26*(-8)\/6. Which is the closest to 1? (a) 3 (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 157, 321, 631, 1135, 1881?\nAnswer: 2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96 + 14*n**2 - 2*n**2 - 95 + (-4*n + 2*n + 3*n)*(n + 2*n + 7*n).\nAnswer: 22*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/320*24)\/3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 254, -3, 4 in descending order.\nAnswer: 254, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-6) - (-2)\/(-6). Suppose -4*q = -4*a + 172, -2*a + 55 = -a + c*q. Calculate the highest common factor of a and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2*sqrt(704) + sqrt(704)) - (4 + 2*sqrt(704))**2) + (sqrt(99)*-1 + 4)*-2)*-5.\nAnswer: 850*sqrt(11) + 14200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 5.6. Let v(s) = -6*s + 20 + s + 26 - 34. Let u be v(3). What is the closest to -8 in 0.4, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(13) + -1 - sqrt(13) - sqrt(1573)*-1.\nAnswer: -1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Let y(k) = k + 2*k**2 + k**2 - 5 - k**3 - 3 + 5. Let z be y(x). Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-122)\/(-183))\/(((-28)\/3)\/4))\/1. Let q = 11 - 13. Which is the nearest to 24? (a) -2\/11 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.585 - -0.215. Let g = 25 - z. Let w be ((-2)\/8)\/((-3)\/4). Sort g, w, 0 in descending order.\nAnswer: w, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 132 (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002687 rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 17*y + 260. Suppose 47*i - y = 42*i. Solve -3*r = -0*s + i*s - 20, 3*r - 6 = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15182\/17 + 892. Let q = 115 - 116. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(1\/2)*h*h)*h)**(1\/46)*(h\/(h**0*h))**(2\/23) assuming h is positive.\nAnswer: h**(-3\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 946.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}