diff --git "a/data/dm_maths/full_data_1/10559_11255.jsonl" "b/data/dm_maths/full_data_1/10559_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10559_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 18041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 42. What is q(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25314 is divided by 4218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -757\/3?\nAnswer: -757\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 24 - 59 = 193 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17\/4 - 5\/4*r**2 - 21*r.\nAnswer: -(r + 17)*(5*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20 - -30 - -2*1\/(-2). Suppose -48*m + c*m - 30 = 0. Suppose 0 = -w + m - 26. Solve a = w - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 351302772 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: Rearrange -32 + 32 + l**3 - 10*l**2 to w + j*l**3 + a*l + h*l**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928917.7um to meters.\nAnswer: 0.9289177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1725800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -458*g - 65965. Give f(-144).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*y - 36, 11*p - 4*y + 60 = 12*p. What is the remainder when 479 is divided by p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.002, 5, -4\/21, 2\/3, -5, -0.15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -16*u - 21. Suppose 4*j - 3*v + 21 = 0, -v = -5*j + 3*v - 26. Let r be d(j). Let k = -73 + r. Solve -k*o - 1 = 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7911 = -j + 4*j. Let m = j + 1237. Round m to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32361 (base 7) in base 14?\nAnswer: -2d31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32916, 1, -4, -2, -9, -0.1, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i. Let d(u) = 6*u + 5. What is d(x(v))?\nAnswer: 18*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.294 + 0.106. What is the smallest value in -5, 0.01, 3, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2. Let d be (-36)\/(-10)*20\/(-6). Let g be d\/16 - 2\/8. Is x(g) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 35*y**2 + 1 + 73*y**2 - 50*y**2 - y**3 to o*y + v*y**3 + m + j*y**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 25*c + 108. Let t be z(5). Let y = 39 - t. Solve y = -w + 83 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = 2*j, 4*n - j + 2*j = 44. Suppose 4*d = -2*g - 4, -4*d - d + n = 0. What is the remainder when 7 is divided by -9*g\/(-90) + 56\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:28 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -1\/5, 11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1.9 (c) -2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**3 + 21*d**2 - 41*d + 93. Determine v(4).\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 3*k**2 + 2*k + 8. Let u be w(4). Solve -s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2939*q = -3742*q + 6424 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2671 + 2590. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5. Let o(w) = -w**3 + 1. Let d(j) = j**2 - 26*j - 57. Let r be d(28). Give r*x(i) + 5*o(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15364\/(-10) - 20\/(-50). Let r = a + 15323\/10. Find the common denominator of r and ((-71)\/3 - -7)\/(14\/2).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 60720\nAnswer: -60710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 28*w**5\/25 - 236*w**4\/5 + 6784*w**3\/15 + 2016*w**2 + 5184*w\/5 - 784. Suppose y(n) = 0. What is n?\nAnswer: -2, -2\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*a*c**2*v + 3*a*c**2 + 2*a*c*v - 226*a - 2*v wrt c?\nAnswer: 102*a*c*v + 6*a*c + 2*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -10?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3922 = -49*p - 4216 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((132\/110)\/((-8)\/2))\/(42\/28)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -685, 5, 6, 19.\nAnswer: -685, -1, 5, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4434643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5\/44, 2, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.0007 + 8. Round o to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1361 + -1325791.9072.\nAnswer: -1324430.9072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -42, 0, -4, -2335 in increasing order.\nAnswer: -2335, -42, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*y**2 - 141*y**3 + 518*y**3 - 66*y**2.\nAnswer: 377*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12*16\/(-72))\/((-64)\/(-336))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 541 - 2777.\nAnswer: -2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 3*c + 0*c**2 - 6*c**2)*(-2 + 1 + 3).\nAnswer: -12*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68397923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1396070.8 to the nearest one thousand.\nAnswer: 1396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**5 + 5327673*m**3 - 20870*m**2 - m - 996?\nAnswer: 240*m**2 + 31966038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2 - 1)*10. Let o be 8*-2 - (l + -8). What is the units digit of 0 + 2 - (o + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.768 - 24.\nAnswer: -31.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00518 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4670752 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(((-8)\/14)\/(12\/(-14))). Let l = -6 + 20. Suppose m*o - 13 = -2*n, 2*n - 2*o = -2*n - l. Put -3, n, -4 in descending order.\nAnswer: n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3362868 divided by -1120956?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -46*h + 29. Suppose 2*u + u - 8 = 5*n, 3*u + 28 = -4*n. What is the units digit of q(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 1339. Let y(s) = -4*s + 2011. Give 7*p(h) + 5*y(h).\nAnswer: h + 682","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5 - 1. Is (d\/1 - 0)*-164 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p**2 + 0*p**2)*(4*p - 4*p + 4*p) + (-15 + 15 + 2*p**3)*(-4 + 3 + 4).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -724513\/102 - -7103. Let k = h + 4\/17. Sort k, -0.2, -3.\nAnswer: -3, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1.53.\nAnswer: 3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37\/6 in 1\/5, 64\/7, 3, -1?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927795479?\nAnswer: 13, 19, 3756257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(((-342)\/76)\/(-9))\/((-1)\/(89\/2)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11615 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 74\/5, 3, -5\/3.\nAnswer: -5\/3, -0.3, 3, 74\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {q: 1, o: 1, m: 2, h: 1, y: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 10*n**2 - 12*n + 1. Let z = 7599 - 7609. Give p(z).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14187 + -99583\/7. Let b = 39 + j. What is the nearest to -3 in b, 5, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228322398 and 6312.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13519, 13581, 13685, 13831, 14019, 14249, 14521?\nAnswer: 14835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x = 4*u + 15, 5*x + 25 = 0. Let r(m) = m + 10. Let p be r(u). Solve -p*l = -4*s + 5, s = -0*s + 2*l + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*g**5 - 3*g**4 + 1054*g**2 - 1 wrt g.\nAnswer: 2340*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzhbbmvhfbvbvzbbv. Give prob of sequence hvb.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59543233 at least 59543236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 not equal to -2689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 2, -7, -0.1, -0.043?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**5\/30 - q**3\/6 + 2*q**2 + 13*q + 98. Let s(u) be the second derivative of r(u). Determine s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 25*z**4 - 5*z**3 - 325*z**2 - 235*z + 60 = 0.\nAnswer: -3, -1, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4, 3*h - 18 = -h - z. Suppose y + 17 = h*b + 6*y, -b + 2*y + 1 = 0. What is the derivative of -18 + b - 12*g**4 - 34 - 16*g**4 wrt g?\nAnswer: -112*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49282 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 - 12*c - 36. Let a be m(-6). Solve 5*h - 18 = -2*g + 5, a = -3*h + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6346*x + 27636 = 6480*x - 12544*x for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in -4, 0.2, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3029 * -37965\nAnswer: 11499.5985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**3 + 35*k**2 + 234*k + 174. What is a(14)?\nAnswer: -3410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -14*i + 1. Let c(w) = -5*w. Let t(o) = 17*c(o) - 6*d(o). Let x be t(-6). Suppose l = -x + 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1341*d**2 + 15*d - 15. Let r be h(1). What is the greatest common divisor of r and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 16. Suppose 51 = -24*s - 3 + 30. What is the closest to s in -2, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 3*y**2 - 1. Let j be i(2). Suppose 0*h = 4*h - 900. Suppose 8*r - 3*k = j*r + 229, -h = -5*r + 5*k. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -75?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -0.826, -1, -4?\nAnswer: -0.826","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26448575 is divided by 264.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8607600 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 + 27*o**2 + 25*o - 4. Suppose -56 = 5*l - 116. Let j be u(l). What is j rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Suppose -h - 2 + 50 = m, 2*m + 5*h - 102 = 0. Suppose -3*k + 127 = -2*d + 6*d, 2*d - 2*k = m. Solve w = -4*y + 2*a - d, -y - 2*y - 7 = 2*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1934, 3886, 5880, 7916, 9994, 12114, 14276?\n\"Answer: 21*z**2 + 1889*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 23*o + 5*m + 57747, 4*o + m - 76950 = 0. List the prime factors of o.\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1 - 13*z + 10*z**2 - 4*z**3 + 3*z**3 + 3*z**2 - 6. Let j = -131 - -143. Let m be t(j). What is the second biggest value in -2\/5, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 55. Let o(q) = -3*q**3 + 2*q**2 - 4*q + 13. Let a be o(2). Let k(r) = 4*r**3 + 15*r - 5. Let h(z) = -2*z**3 - 8*z + 3. What is a*h(l) + j*k(l)?\nAnswer: -2*l**3 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3689 and 196826?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 5 - o**3 + o**2 + 4 + o**2 to the form r + h*o**2 + a*o**3 + q*o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87403 + -35721. What are the prime factors of a?\nAnswer: 2, 25841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 905 + 2.\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from uqqqnqqqqqq?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d + 41. Determine j(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41229, 82418, 123609, 164802, 205997?\nAnswer: 247194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - -80?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-3)\/1 - 8. Let y(b) = 0*b**2 - 148*b + 154*b - 9 + b**2. Calculate y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y - 24*y + 11*y + 712994 = 0. What is the remainder when y is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let l = -248 + 243. Let a = l - x. What is the smallest value in 0.4, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -370*u - 3. Let t(a) = -1112*a - 10. Determine 20*q(y) - 6*t(y).\nAnswer: -728*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 1. Let o = 174 - 173. Let x(r) = -4*r - 2. What is o*x(h) - 6*a(h)?\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/185712 and -11\/20?\nAnswer: 928560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 2*t. Let f be x(-2). Suppose 4*y = c + 11, f = -3*c - 4*y + 31 - 0. Find the third derivative of 2*m**2 - 2*m**2 - m**2 - m**c wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 - -1291\/10. Calculate the common denominator of k and -62\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 1, l: 3, s: 1, b: 1}. What is prob of sequence lbs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 711255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1146 by -573.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -73227 and -73226 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.5 and 0.597?\nAnswer: 11.6415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 23. What is the nearest to 0 in -6, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*r + 12*r - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 545631991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 6*s**2 + 2*s + 7. Suppose 10*r - 17*r + 77 = 0. Suppose 0 = -r*j - 0*j + 22. Suppose -5*l + j*t - 24 + 0 = 0, -4*l - 39 = 5*t. What is y(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174116.\nAnswer: 2, 19, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -3*g + 5*g. Let c be (60\/(-6))\/5*-1. Suppose -c*m + 2*f + 61 = -279, 3*m - 510 = -5*f. Calculate the remainder when m is divided by g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = 3*d - 9, t = 5*d - 28. Suppose 0 = d*r + 5*r - 30. Solve r*j + 8 + 1 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**4 - 59283*r**3 - 118545*r**2 + 177831*r = 0.\nAnswer: -19759, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4329 - 3335.9. What is f rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -2*n + 4613. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -106, 539, 2020, 4613, 8594?\nAnswer: 14239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**2*y**3 - 23*o**2*y**2 + 68*o**2*y - 571*o*y**3 + 2*y wrt y.\nAnswer: 18*o**2 - 3426*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21.7024852*4\nAnswer: 86.8099408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/34*(-3 - -1). Which is the second biggest value? (a) -4 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*t - 172*t = 0. Suppose 12 = 2*p - p. Suppose -p = -2*n - n. Solve t = u + u - n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(-1*sqrt(11)) - -2*sqrt(11)*-2.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f**(-1\/3)*f)\/(f**(-1\/4))**(1\/59)*(f\/(f**(2\/7)*f))**20\/(((f\/(f*(f*f**0)\/f))\/f)\/(f\/(f*f**2\/f))) assuming f is positive.\nAnswer: f**(-21691\/4956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2*(-3)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 33*g**2 + 8*g + 4. Is t(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45636 = 9*i + 12003. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/27*(-18)\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/8 - (-3)\/12. Let b(x) = -41*x + 240. Let o be b(6). Let m be 1 - ((-3 - o) + 129\/(-66)). Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (162\/(-8))\/(-27)*644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10\/9))**45 assuming b is positive.\nAnswer: b**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8484 divided by -101\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 36. Suppose 4*q - 9*q + 72 = 4*j, 4*q - 54 = -3*j. Calculate the remainder when o(j) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, e: 7, u: 1, k: 1}. What is prob of picking 2 e and 1 u?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*l = -463*l - 84 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63309?\nAnswer: 3, 47, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 n when three letters picked without replacement from {l: 2, n: 5, d: 4, v: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let i be j(1). Let w(y) = 3*y. Let f be w(i). Solve 0 = f*g - 6, 0 = -x + 2*x - 3*g + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 - 62 - s**3 + 32 + 30.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 238*n**3 + 2*n + 1. Let f(j) = 5*j - 16. Let m be f(3). Let w be x(m). Let b = 1017 + w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 8*j**2 - j + 18. Let t be h(8). Is (-5)\/2*(-20)\/t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**6\/66 - 6*d**5\/55 - 4*d**4\/11 - 2*d**3\/33 + 15*d**2\/22 + 8*d\/11 + 2171. Factor o(s).\nAnswer: (s - 8)*(s - 1)*(s + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + p + 311 + p**2 + 0*p.\nAnswer: p**2 - 2*p + 311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s*w*y + s*w - 2*s*y**4 + 642*s*y**2 + 84313379*w*y**4 + 2*w*y**2 - 3*w - 2*y**2 + 114*y wrt y.\nAnswer: -48*s*y + 2023521096*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5351 by -12977.\nAnswer: -5351\/12977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 79398 times -674\nAnswer: -53514252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-7\/8)))\/l*(l*l**(-27)*l*l*l)\/l*l*l\/l**(-2\/5)*l**7 assuming l is positive.\nAnswer: l**(-659\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8101 by 5452.\nAnswer: -8101\/5452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 + 3*j + 2. Let i be t(-2). Suppose 4*c = c. Suppose c*r + 4*r - 4 = i. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(12) - ((sqrt(12) - 3*sqrt(24)\/sqrt(2)) + sqrt(12)))*-1)\/(-6*((sqrt(4) - (sqrt(12)\/(-4*sqrt(3) + sqrt(3)) - sqrt(4))) + sqrt(4))).\nAnswer: sqrt(3)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 - -137. Let q = -16.3 + 16. Which is the nearest to 1? (a) 1\/4 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 37*u**2 + 27*u + 47. What is j(-3)?\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and -203988.4.\nAnswer: -203976.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*q - 2728 = 2048, -3*q + 2403 = 2*a. Is a a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 1 + 0 + (-1 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 422 or 399?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4 - 705*m**5 - 2006*m**2 + 54707525*m**3 - 54707525*m**3 wrt m.\nAnswer: -42300*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 3*z**2 + 3*z. Suppose -5*x = 20, -16 = -4*r - 0*r - 4*x. Calculate the least common multiple of v(3) and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*p + 3*p = -1680, 12 = -3*p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 1001?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/26*(-8970)\/(-3450).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 1225.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5 = u. Let g be (-5)\/(u + (1 - 1)). What is the third derivative of 4*x**2 + g*x**2 - x**4 - 8*x**2 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**5\/20 + s**4\/2 - 5*s**3\/3 + 15*s**2\/2 - 651*s. Determine w(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 6. Suppose 0 = 4*w - 4*y - 160, p*w + 5*y = 3*w - 32. Suppose 56 = z + z. Calculate the highest common divisor of z and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*d - 2*r - 8 = 0, 8 = -2*r. Let v = 9\/10 - 3\/20. What is the nearest to -0.1 in v, d, 1\/32?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 14 = -2*r, -13*r + 3*h = -9*r - 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/4, -13.7, 9, -5 in descending order.\nAnswer: 9, -3\/4, -3, -5, -13.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 2. Let p = 153 + -220. Let a = b - p. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594*c**2 + 209*c - 17*c - 103 + 99.\nAnswer: -594*c**2 + 192*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, s: 3, i: 3, w: 6}. Give prob of picking 1 i and 1 s.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8716 - 1.0716. Which is the closest to -0.9? (a) 1\/8 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 308 = 5*b - 289, 3*b = -2*b - 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053661.\nAnswer: 7, 150523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 307355286 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0624 + 344.9376. What is the smallest value in -1\/4, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775 = 996*m - 1027*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r - 402 = -318 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(13) + 1)*4 - (sqrt(13) - (sqrt(13) + -1 + 1)))**2 + (sqrt(416)\/(sqrt(72) - sqrt(8)))\/(sqrt(48)\/(sqrt(12)*-2)).\nAnswer: 31*sqrt(13) + 223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/3, 1, -220\/83 in descending order.\nAnswer: 1, -220\/83, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-162)\/(-9) - (-4 - 40)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 56. Solve 1 = q*i - 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.33, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 0*x - v = 74, x + 6243*v + 107 = 6240*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 7 + 24 = -5*k, 410 = 59*j - 5*k + 228 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1527?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 11 - 12)*(-4*i + 0 + 7*i - 4) to the form f + q*i and give f.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.3, -3\/4, 1, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21571, 23129, 24687, 26245, 27803, 29361?\n\"Answer: 1558*h + 20013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 636957907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.18 - -0.18. Let f be (-6)\/(-3) + -1 - -2. Let u be (-46)\/14 + f\/1. Is k equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + f + 9. Let l = 1 - 1. Let q be p(l). Is 9\/((q\/6)\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16211 - -16211.5. What is the third smallest value in 771, y, -0.2?\nAnswer: 771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380186?\nAnswer: 2, 190093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 2*r + 1. Let t(k) = 21*k**2 - 15*k - 6. Let n(z) = -27*s(z) - 4*t(z). Let n(h) = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 5934*x\/7 - 11860\/7.\nAnswer: -2*(x + 2)*(x + 2965)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23464 + 1377. What are the prime factors of x?\nAnswer: 24841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = 5*q - 19, q + 4*r - 16 = 0. Suppose -q*o - 14 = -l, -l - 2*o = -2*l + 12. Find the second derivative of -l*y**5 - 3*y + 8*y - y**5 wrt y.\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*o - 0*o - 237, o + 186 = 3*f. Let h be 44 + (-5)\/(-6 + 1)*-7. Suppose -h*a + 38*a = f. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1525 - 2266?\nAnswer: -4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - (-4 + (1 - -2))) + (13 - -40 - 57)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1096*g - 3477. Give m(4).\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 4) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - z - z)*(0*z**2 + 0*z**2 - 2*z**2) + 359*z**3 + 420*z**3 - 877*z**3 as n*z**3 + x*z + g*z**2 + h and give n.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -518*o**6 - 8*o**2 + 228.\nAnswer: -62160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 19 = -4*r, 5*r + 0*w - 30 = -5*w. Suppose m + 5*i + 45 = 6*m, -r*m + 45 = -i. Solve 4*a + 7 = -m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210200111 (base 3) in base 7?\nAnswer: 316600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:49 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 197, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17367299*h**5 - 5*h**2 + 2078830 wrt h.\nAnswer: 1042037940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 436433980.8 to the nearest ten thousand.\nAnswer: 436430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 62624?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20*x**2 - 8. Let l(g) = -5*g**2 - 2. Let o(p) = 59*p - 588. Let j be o(10). Calculate j*i(a) - 9*l(a).\nAnswer: 5*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 339?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 233997 + ((-12)\/20)\/(1\/(-5)). Round r to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2720 is divided by 115.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/72*6*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13420 + 13458. Which is smaller: m or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29023820?\nAnswer: 2, 5, 7, 379, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.02, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.4 + -6.4. Let d = -6.5 + m. Which is the closest to -2\/3? (a) -5 (b) d (c) -2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + 2. What is the remainder when 61 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.813615 - -103.813666. Let c = -271 - -186. Let r = c + z. What is r rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -32 - 33. Solve 2*k - 3*k = a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.56 + -0.04. Let o = 4.48 + -4.28. Is i at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -544\/305 + -1\/61. Let l = -18337319\/6 + 45751479109\/14970. Let u = -2\/499 - l. Calculate the common denominator of y and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*j**3 + 5*j**4 - 8*j**3 + 6 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 + -303. Let p = h + 33. Sort -2, 1, -3, p.\nAnswer: -3, -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -4*t, -4*y + 4*t + 18 - 2 = 0. Let m be (-24)\/(-40)*(y - -36). Solve 5*w - 1 = m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.473 - -0.6105. What is k rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 410855 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3*g**2 + 0*g**2 - 9*g - 6 - 3 = 0. What is g?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*k - 39 = 3*i, 4*i = 5*k - 25. Is -10 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 542 + -259. Let p = 422 - t. What are the prime factors of p?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3928482*j**2 - 4140560 wrt j?\nAnswer: -7856964*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 327151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64220214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*o + 23*o = 38*o - 3252 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15992 divided by -4.\nAnswer: 3998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.1 + 23. Let r = 0.900002 - n. Round r to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(1331) + (1 + sqrt(1331) - sqrt(1331)))*-3 + sqrt(1331) - (-1 + sqrt(1331) + -3))**2 + (-5 + 2 + -2*sqrt(1331))*-5).\nAnswer: -47980 - 176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 394\/(-2167) + 593214\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*313.83.\nAnswer: -2824.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-30)\/40*13624\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*((0 + w + 0)*(0*w**4 - w**4 + 0*w**4) + 2*w**5 + 4*w**5 - 21*w**5) - 2*w**5 + 2*w**5 - w**5 + (-w**5 + 2*w**5 + 0*w**5)*(-1 - 2 + 1).\nAnswer: -35*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-784)*(-14)\/(-6)*-9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 26 - 6 + 3 + 29 - 61*k.\nAnswer: k**2 - 61*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474834371?\nAnswer: 11, 29, 135319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4322 (b) -5 (c) 5 (d) 1 (e) -3 (f) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*j**4 + 13*j - 14*j + 4*j wrt j.\nAnswer: -204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66593450 and 98?\nAnswer: 66593450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -m + 164. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 > 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 8:42 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 24 = 20*d. Let r be (-5)\/(-10)*(0 + d). Solve 0 = r*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151197274 to the power of 1\/2, to the nearest integer?\nAnswer: 46381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 8:05 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/11 (c) 0.02 (d) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 4 - -9) + (76 - (49 - 25))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 501215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - 21*u + 55. Let i(c) = 3*c**2 + 40*c - 104. Let w(n) = 5*b(n) + 3*i(n). What is w(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 391*q + 2703. Let x be r(-7). Let w(f) = -4*f + 49. Calculate w(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3668.191 - -416.909. Let o = -3266.38281 - l. Let v = o + 15.1. What is v rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (0 - (1 + 0)). Suppose r*v + v = -4*h + 15, -v + 4*h = 11. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 13\/(2 - -3*10\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-8)*((-60)\/(-10))\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 14*l**2 - 2*l + 1. Let k be t(1). Suppose k = -4*o + 29. Suppose -5*i + o*a + 99 = 0, -3*i + 4*a + 42 = -i. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 33 + o + 5 + 24.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + b**2 + b + 1. Let p be (2\/(-8))\/(5\/(-40)). What is the remainder when f(p) is divided by (-13)\/(-3)*((6 - -7) + -10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 586 - 937. Let z = -352 - k. Let y(b) = -b**2 - 1. Suppose -1 + 0 = u. Let r(f) = f + 1. Give u*r(m) + z*y(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1 + 2*h + 2*h**3 - h**3 + h**2 - 4*h. Suppose 0*n + 3*n - 21 = -3*b, 0 = 5*n - b - 23. What is the smallest common multiple of k(2) and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.086 + 1.986. Suppose -2*i + 3 = -i. Suppose i*o - a = -7, -3*o + 0*o = -2*a + 5. Sort o, -1\/2, f in decreasing order.\nAnswer: f, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6053789.799001149 + -6053787.021. Let c = q + -2.778. Round c to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361448 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3 (c) -0.3 (d) 2\/7 (e) -5\/6 (f) -40032\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1075 + -1071. Put 5, -2\/3, 1\/2, i, -0.1 in increasing order.\nAnswer: -2\/3, -0.1, 1\/2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17\/((-34)\/4)*(-1 - 112)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702304164 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 1386?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -4, -2\/5, 3, -10, -2613\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 37*t**3\/3 - 12*t**2 - 18*t - 1. Is w(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*d + 36, 159*f - 6*d - 1258 + 135 = -4*d for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -22 + 22. Let i(u) be the third derivative of -2*u**2 + 0*u - 1\/3*u**3 - 5\/24*u**4 + p. What is the derivative of i(t) wrt t?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3640 by -4.\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 10983 - 148547 - 186456.\nAnswer: i - 345986","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1121828 or -1121829?\nAnswer: -1121828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -317, -747, -1401, -2309, -3501, -5007?\nAnswer: -6857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 102146088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(2\/5)*o*o**2*(o*o*o*o**(-2\/11))\/o**(-5) assuming o is positive.\nAnswer: o**(727\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48565 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 4.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 453 and 433081.\nAnswer: 196185693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, k: 9}. What is prob of picking 3 q?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/2 - 1368968*n - 937036692512 = 0.\nAnswer: -1368968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1958467, 3916876, 5875285?\n\"Answer: 1958409*z + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 33*t**2 + 56*t - 34. What are the prime factors of w(-31)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17849 - b4?\nAnswer: 17755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*g**5 - 2*g**4 - 3*g**2 - 20*g?\nAnswer: -5160*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 1750?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-1 - -1) - -1) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*o**5 - 39*o**5 - 40*o**5 + 31*o**2 wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 7*s**4 + 0*s**4)*(-60*s - 28*s + 6*s).\nAnswer: -410*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xby when three letters picked without replacement from ddhddbxy.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 745, 2977, 6697, 11905, 18601?\nAnswer: 26785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192309*f + 4800 = 192409*f for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1229580)\/3600 - (-6)\/8. Are -341 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 - 176. Let n be (-9)\/(-21) - (1 + r\/14). Suppose 0 = m + n*m - 114. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800) - 5*(sqrt(1800) - -2*sqrt(1800)) - (-1*sqrt(1800)*-1 - sqrt(1800)))\/(1*-2*sqrt(576)*-4))**2*-1.\nAnswer: -1225\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or 1.2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4243*k - 208680 = 14677*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -328694211818?\nAnswer: -328694211817.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 140\/196 + (-51)\/42\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2489298, -9957278, -22403912, -39829200, -62233142, -89615738?\n\"Answer: -2489327*k**2 + k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 14698349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -925306473 (b) -3\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 72*a**2 + 130*a**2 + 132*a**2 - 3*a.\nAnswer: 190*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 315*o - 314*o - 2*v, 3*o - 5*v = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 4*p - 4*p)*(0 - 1 + 0)*(3 + 4 - 4).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -12\/7, 7.395?\nAnswer: 7.395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/4*(-2196)\/(-915). Which is greater: 94\/3 or m?\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjdtl. What is prob of sequence jt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 2*m + 0*m)*(-3 + 1 - 1)*(664 - 41 - 286) to the form x + k*m and give k.\nAnswer: -3033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 16) in base 2?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3 + 3)*(-1 - 4 + 6) + 2*w + 4 - 4 + (4 - 4 - 1)*(-w - 2*w + 2*w) + 4*w - 5*w + 2*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + ((sqrt(104) + 1*sqrt(104))*3 + sqrt(104) - sqrt(104)))\/sqrt(8) - (-4 + sqrt(13)*1 + (1 + sqrt(468) - sqrt(468) - sqrt(468))))**2.\nAnswer: 72*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -205c + -2?\nAnswer: -205e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.043 + -3.257. Let j = -0.7 + h. Which is the second smallest value? (a) j (b) 0.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2. Let k(b) be the first derivative of -b**3 - 17. Calculate l(k(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - 5) + 96 - -6) + (406 - 395).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 836 and -1.\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33, -1\/3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 17377705\nAnswer: 2\/17377705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -1030124?\nAnswer: 1030143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2049 + -2047. Sort -4, -8, t in increasing order.\nAnswer: -8, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 93*s + 290. Let f be p(3). Sort 4, 156, f, -1.\nAnswer: -1, f, 4, 156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/6)\/(2\/28). Let b(g) = -g**2 - 9*g - 11. Let u be b(-4). Suppose 0 = 2*n - u - 33. What is the greatest common factor of v and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(1\/2))**(-32))**(14\/5) assuming c is positive.\nAnswer: c**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 d when four letters picked without replacement from {k: 11, d: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -1. Solve -12 = -4*n + 2*v, -2*n + n + 3 = -c*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 2, b: 3, k: 1, t: 2, h: 6}. Give prob of sequence kbbh.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 3*j**4\/4 + 2*j**3\/3 + 3*j**2\/2 + 2*j + 103. What is a(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418ad0 (base 14) to base 10\nAnswer: 2213806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112210201002 (base 3) in base 8?\nAnswer: -1071072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*t - 2*q - 82, 0 = -3*t + 5*q + 82. Suppose -c = t*c - 2520. Calculate the lowest common multiple of 114 and c.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c86de (base 15) to base 12\nAnswer: -573662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37668\/11 or -3425?\nAnswer: -37668\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiix when four letters picked without replacement from xiixx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183859.\nAnswer: 13, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**6 + 5*n**4 + 4*n**2. Let z(t) = t**6 + t**4. Let w be 1\/(-2) - (-27)\/(-6). Let x(q) = w*z(q) + y(q). Find the third derivative of x(f) wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k*m*x + 2*k*m - 4118*k*x**2 - k - m*x**2 + 4279*m + 2 wrt k?\nAnswer: 2*m*x + 2*m - 4118*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 0*o - 126 = 0. What is the third derivative of o*p**5 + 20*p**4 - 6*p**5 + 41*p**2 - 20*p**4 wrt p?\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 4*y**2 + 2*y + 7. Let s be w(-4). Let z be -1 - (s - (2 + -2)). Suppose -7*k + 4*k + 195 = z. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*d + 554 + 543 + 703 = 0 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**5\/5 + 2*i**2 - 4. Find the second derivative of o(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 219 (c) -8.4 (d) 0 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 divided by -774451?\nAnswer: 109\/774451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 64988536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1407\/16 + 88. Let l be 2*(4 + -6) + 5. Let b be (2 + -1 - 1)*(2 - l). Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*q - 27, 8*q = -4*z + 9*q + 108. Sort -1, z, -4, -5 in increasing order.\nAnswer: -5, -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -131*q**3 + 3*q**2 - q - 3. Is t(-1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1067 - -1067. Factor 2\/15*a**2 + i + 2\/15*a.\nAnswer: 2*a*(a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 5*b + 149. Let f = b + 60050. What is f rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -13*j - 2*g + 1865, 2456 = 4*j - 5*g. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 5*y - 41, 3*f + 979*y - 1957*y - 22 = -980*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 12) in base 6?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4618962*f**2 - 124*f + 3486.\nAnswer: 9237924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48.5 + -34. Let n = t - 17. What is n rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 2, d: 1, k: 9}. What is prob of sequence kt?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 318077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*t*y**2 + 8*t*y - 2*t - 151*y - 2147856 with respect to y.\nAnswer: -22*t*y + 8*t - 151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/9 and 40\/36011.\nAnswer: 324099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1535 + 1568 + -111 + 0 - -14?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4\/5 - 964*f**3\/5 - 10616*f**2 + 17772928*f\/5 - 10563072 = 0. What is f?\nAnswer: -130, 3, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, o: 1, w: 5, l: 6}. What is prob of sequence ew?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o + 3. Let d(b) = -4*b - 5. Let u(v) = -8*v - 11. Let q(p) = 7*d(p) - 3*u(p). What is 6*l(c) + 13*q(c)?\nAnswer: 2*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/11)*w)\/(w*w**(-6))*w**(6\/5)\/w**(2\/11) assuming w is positive.\nAnswer: w**(356\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-1035))\/(15\/((-270)\/4))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 8*b. Let g = -3 + 2. Let k(y) = y. Let p(a) = g*q(a) - 8*k(a). Let u(l) = 15*l**2. Calculate p(u(z)).\nAnswer: -450*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 41. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -12295\nAnswer: -12285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7\/(-35)*4048)\/(20\/(-650))?\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66569383*p - 33284697*p - 33284698*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**(-2\/9)\/n))*n\/n**(-1\/6)*n**(1\/3)*n*n**(2\/9) assuming n is positive.\nAnswer: n**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -17, -20, -15, 4, 43, 108?\n\"Answer: s**3 - 5*s**2 + 3*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 164517725 divided by -185?\nAnswer: -889285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 3*j)*(2*j**3 - 3*j**3 + 0*j**3) + (-2*j**3 + 3*j**3 + j**3)*(-21 + 18 - 5*j + 9).\nAnswer: -8*j**4 + 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*s**2 - 274*s**2 - 525*s**2 - 39*s**2 + 199*s**2 as m*s**2 + o + v*s and give m.\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -54 and -42 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, y: 2, a: 1, f: 2, n: 1}. Give prob of sequence ff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjo when three letters picked without replacement from {m: 2, a: 2, o: 8, j: 3}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j. Suppose -17*y = -125 - 147. Solve j = 2*u + 2*u - y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 3*c - 16. Let o(l) = -3*l**2 - 11*l - 39. Let p(i) = -3*i**2 - 12*i - 40. Let y(h) = 7*o(h) - 6*p(h). Give -5*v(x) + 3*y(x).\nAnswer: x**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.4, -949.1, -7, 5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**4 - 7438*m**2 + 242391 with respect to m.\nAnswer: 16*m**3 - 14876*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 1, 6.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + 0 + sqrt(242) + sqrt(242)).\nAnswer: -132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-12) + 79\/30 - 2. Sort k, 0.05, -3 in descending order.\nAnswer: k, 0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 3*b + 16. Let k be x(4). Does 5 divide ((-80)\/k)\/(-4)*-123*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 1 + 1)*(2 - m - 2) + 2*m - 2*m - m**2 - m**2 - 2*m**2 + m**2 + (38*m + 191 - 191)*(2*m - m - 3*m) - 5*m + 3*m**2 + 75 - 75.\nAnswer: -74*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a - 12*a - 6*a - 24*a**2 + 27*a**2 - 54.\nAnswer: 3*(a - 6)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 0 - (-72 - -64)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -96184037, -384736153, -865656347, -1538944619, -2404600969, -3462625397, -4713017903?\n\"Answer: -96184039*m**2 + m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743861061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - 216*n - 8829. Calculate f(-32).\nAnswer: 2179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257718 to the power of 1\/2, to the nearest integer?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 34*u + 1. Is g(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67401 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1820 and 208.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*x + 4286 - 1444 = 0 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/30 + 0 - (-3)\/5. Find the third derivative of -7*p**2 - 3*p**s - 23*p**2 - 5*p**3 wrt p.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 + 13434\/24. Calculate the remainder when 13 is divided by (-2)\/(-9) - i\/(-72).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*v - 18, -4*m + v = -455. Is m != 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 373752158 and 14.\nAnswer: 2616265106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/120 - a**5\/30 - a**4\/12 + a**3\/3 - 11*a**2. Calculate m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538888324?\nAnswer: 2, 13, 29, 357353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - c = -18, -3*w - 2*c + 0*c - 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -p + 3 + 3, 2*p - 3*i + 8 = 0. Suppose -2*c = -3*u - 3, p*u = c - 5*c + 30. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 14396 = -48351 + 4034. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29401 rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0\/8)\/((-2)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5735*o = 5733*o - 18, 3*o + 20 = -2*i. Suppose 4\/5*q**4 + 6\/5*q**3 - 8\/5*q**i - 2\/5*q**5 + 0 - 8\/5*q = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1278074.999995 + 1278065. Let l = -10 - i. Round l to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 15*j + 21. Let f(h) = -14*h - 18. Let u(x) = -7*f(x) - 6*i(x). Let n(t) = t + 7. Determine u(n(y)).\nAnswer: 8*y + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1054*g - 657*g + 87261 = 0 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14303a7b5 - 4?\nAnswer: 14303a7b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - 290017226588?\nAnswer: -290017226587.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3*z + 18, -57 = -5*h - 3*z - 33 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 50, 95, 144, 191, 230?\n\"Answer: -c**3 + 11*c**2 + 9*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7437 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 151 - 983 = 0. Is -65 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 848 divide 8946494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-37)\/r)*r\/((r**(-13)*r)\/r*r)*r*(r*r**(-8\/9))\/r*r**(10\/7)\/r)**(-5\/2) assuming r is positive.\nAnswer: r**(-8275\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.2 (c) -102 (d) -3\/7 (e) -5 (f) 26\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z**2 - 993032*z - 2291714 with respect to z.\nAnswer: -2*z - 993032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/416 (b) -0.3702 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 5 - 5)*(171 + 570 + 187) as k*g + q and give k.\nAnswer: 2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 1752*o - 880*o - 2 - 873*o.\nAnswer: -o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 + 14*y**2 + 15*y - 7. Let g(v) = -v**3 - v**2 + 1. Let t(f) = 5*g(f) + s(f). Is t(7) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 76 - -231d?\nAnswer: 2394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-272)\/(-372) + 18\/(-279). Let l be 8\/4 + 1*3. Suppose 2*x + 1 = 4*c + 19, 9 = l*x - c. Put y, 3, x in ascending order.\nAnswer: y, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 79 - 52 - 46 in the form v + p*c**2 + h*c and give v.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -183326 greater than -182806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**2 + 10*p**2 - 26*p**2 + 11*p**2. Let z(b) = -67*b - 1. Give m(z(d)).\nAnswer: 8978*d**2 + 268*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-5)\/(-4) + -2). Suppose 5*l - u*w = 341, -2*l + 2*w = -0*l - 138. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0 + (0*o + 2*o - 4*o)*(7 + 0 - 2))*(4 + 4 - 7).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*g, -3*u + 5*g = 6*g - 33. Let v = -0.04 - -1.04. Which is the closest to -0.1? (a) u (b) v (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513976483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 - 9*d + 6. What is the least common multiple of a(5) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = 3*w. Suppose 4*g - 29 = 5*k + 86, 0 = -5*g - 4*k + 195. Let s be 4\/w - (-20)\/g. Which is the third smallest value? (a) 4 (b) -3\/8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6612 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 - 6992*i - 853440 = 0. What is i?\nAnswer: -120, 7112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 533*b + 17200. Give a(-32).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2903*g + 13315*g - 62892 = -14238 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 - -38565. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -67b?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:52 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 - 28 = 0. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5085, 5061, 5033, 5001, 4965, 4925?\n\"Answer: -2*u**2 - 18*u + 5105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 + 75*t + 7. Let w(h) = -4*h**2 + 62*h + 7. Let g(m) = 5*q(m) - 6*w(m). Give g(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 27.8. Which is the second smallest value? (a) -4 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9 - 0)*(98 - -2)\/5?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10030 - -5626?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*u**2 + 40*u**2 - 78*u**2.\nAnswer: -110*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8944 + -8944.5. Which is the closest to -33? (a) 4\/7 (b) i (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3151?\nAnswer: -3\/3151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94217\/4 - -23555. What is the nearest to -1\/3 in 0, 2, m, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*n. Solve 0 = -3*g + l - 4, n*l - 4 = 5*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -0.1. Let w = 0 - 0. What is the closest to w in 2, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y**2 + 129*y - 18 = 0 for y.\nAnswer: -2, 3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 - 93. Let g be (-4)\/(-10)*(5 + 0). Calculate the remainder when (-130)\/l - g\/(-12) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -367. Suppose d = 2, 0 = -2*b - 0*d - d + c. Is b a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6107 + -133.8.\nAnswer: -6240.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 35 = 5*w, -8206*u = -8204*u + 4*w + 28 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + -77. What is the second biggest value in 1\/87, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + y)*(-99 + 1 - 9).\nAnswer: -107*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-21 - -12) - (0 - 11).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131*g**2*v**2 - 3*g**2*v - 255*v**2 with respect to g.\nAnswer: -262*g*v**2 - 6*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/7)\/(x\/x**22*x) assuming x is positive.\nAnswer: x**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38d793 + 2?\nAnswer: -38d791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -89299 + 3?\nAnswer: -89296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -2*z. Suppose 4*j - q = 9, 2*j + 7*q = z*q. What is the closest to -2 in -5\/6, j, -1\/8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586 + 652. What is the remainder when 258 is divided by w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -568.76788888 - -5\nAnswer: -563.76788888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 + 13*d**2 + 7*d - 82. Let c be b(6). Let l be 90 - ((2 - 4) + 0). Does 14 divide l + c\/(-8)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c - 2. Does 7 divide (140\/(-16))\/(c\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or -80?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136452651 to the nearest integer?\nAnswer: 11681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 4) to base 15.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t - 55. Let o(x) = -14*x - 82. Let z(f) = -8*m(f) + 5*o(f). Let j be z(-13). Solve l = -0*l - j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00172033 to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25511, -48104, -70697, -93290, -115883?\nAnswer: -138476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnvnvnnwnwwvv. Give prob of picking 1 n and 3 v.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3210\/37? (a) -8 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -0.04772328.\nAnswer: 0.45227672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -117*x + 258. Let l be g(2). Solve -20*z + 14*z = -l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l - 449. Let c be v(-28). Is c at most -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 6, d: 1, r: 7, a: 2}. What is prob of sequence rff?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2. Let s(a) = -52*a - 6. Give l(s(h)).\nAnswer: 8112*h**2 + 1872*h + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 46*o + 27. Is d(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 7*x**5\/60 + x**4\/24 - x**3\/6 - 2*x**2 + 107. Let o be 1*2 + 0 + -3. Let l be (o + -1)\/(-3 + 1). Calculate m(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-14)*(1 + 8 + -1). Which is the nearest to -2\/5? (a) 0.01 (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 10 (c) 77\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 6:18 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/21))**(-2\/43)\/((l**(-2\/13)*l*l*l)\/l*(l*l\/(l\/(l**(-1\/14)*l)*l)*l*l)\/l) assuming l is positive.\nAnswer: l**(-12965\/3354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let c be -2 - -10 - (-4 + y). What is the units digit of (1\/(-2))\/((-1)\/c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.92 and 0.27.\nAnswer: 0.2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575639 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 3) in base 16?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567) + -2*sqrt(567) + -2)**2 - sqrt(567) - -6*sqrt(63)*-2.\nAnswer: -45*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -222\/7. Let v = 32 - 31. Which is greater: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m + 426048 - 852120 + 426072.\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 6*l - 3. Let w be v(6). Let z = w + -39. Solve 0 = -5*h + 5*f - z, -1 + 6 = f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(15\/6 + 0). Let s(u) = -2*u**2 + 3*u + 5. Let w(q) = 2*q**2 - 3*q - 4. Determine k*w(r) + 4*s(r).\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1293*l + 111220. What is k(86)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -19. Suppose -2*x - 4*p + j = x, x + 4*p = 7. Solve x*l + d = -8, -6*l + l + 5 = -2*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 2*f - 4 = -2*v + 2*v + 5*v, -12 = -v - 3*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = 3, -l = 4*k. Suppose 5*y = 4*i - 184, 6*y = 3*y + l. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 158, 167, 202, 275, 398, 583?\n\"Answer: 2*k**3 + k**2 - 8*k + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.652 - 0.052. Which is bigger: 15\/7 or z?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 - 15*l**2 - 2. Suppose 42 - 8 = -4*h + 3*a, 3*a - 26 = 2*h. Let f(r) = -8*r**3 - 44*r**2 - 5. What is h*f(c) + 11*y(c)?\nAnswer: -c**3 + 11*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 8 - 64. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558802.\nAnswer: 2, 271, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 - 82*p**2\/3.\nAnswer: 2*p**2*(p - 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4316 is divided by 3660?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*sqrt(72)*-4.\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -4*q**7\/21 - 53*q**6\/120 - 197*q**5\/3 - 156*q**2 + q + 4. What is the third derivative of v(z) wrt z?\nAnswer: -960*z - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1458950?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 1\/108223 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:03 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*u*y - 1691*d**2*u + 44*d**2*y - 8*d**2 + d*u - 2*d - 3*u*y + 398*y wrt d.\nAnswer: 2*u*y - 3382*u + 88*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(11581*49\/70707 - (-16)\/(-2))?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + 28\/20 - 2154\/60 and 65\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4287*p - 3993*p - 1)*(0 + 0 + 1 + (4 - 3 + 1)*(4 - 5 + 2) + 3 - 5 + 1 - 3 - 4 + 5 + 0 + 2 - 4 - 3 - 4 + 3) to the form c + f*p and give f.\nAnswer: -1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*1601.\nAnswer: -59237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72930779\/7623 + 33875\/1089. Let x = j - -9538. Find the common denominator of x and 53\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 - -4.38. Round f to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 - 2*x**2 - x**2 + x - 3*x**2 + 6. Let z(n) = n**3 + 4*n**2 - n - 4. Let k be z(-4). Is m(k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1577 = 16*h - 3423 + 1718 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21864*p + 45280*p - 23177*p.\nAnswer: 239*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -43. Let k = -29 - -33. What is the smallest common multiple of k and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-3))\/2)\/(7\/((-210)\/8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -38*z + 18. Let f be q(-2). What are the prime factors of f - 12\/(-3 - -7)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66109954*m + 3350670?\nAnswer: 66109954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 - -2. Suppose -d + 19*d = 90. What is the nearest to h in 0.5, d, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -266.74 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-26\/5)*(w**(2\/11)\/w)\/w*w**(-3\/11)\/w*w\/(w\/w**(-1\/41)) assuming w is positive.\nAnswer: w**(-18751\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -255 + 258. What is the nearest to 3 in w, 0, 11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/((-47)\/564). Suppose 11*y - v*y = 8115. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.022 (b) -0.018 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*y + 546. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259*c - 2*b + 24 = 1257*c, 0 = b - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10c - -82?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 152 = -4*l + 228, 2*z = -5*l + 86 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by -14.\nAnswer: 136\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52087.8025 - -52071.06910332. Let a = f + -0.06652432. Let r = -16.8 - a. Round r to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*y - 89 = -4*o + 635*y, -3*o - 2*y = 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.1 in -1.304, 4, -2\/7, 1, -3\/7?\nAnswer: -1.304","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/15 + 4*s**3\/3 - 173*s**2 - 1. Let j = 18 + -10. Let x = 14 + -11. Let h(u) = u**2 - 3. Determine j*h(q) + x*b(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 14. Let y = 29 - s. Suppose -k + 9 + 10 = 0. What is the highest common divisor of y and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20078591581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24440 is divided by 76.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 not equal to -18\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91971, -91970, -91969, -91968, -91967?\n\"Answer: g - 91972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6482 and 921085718?\nAnswer: 6482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*c + 5. Suppose 3*p = -2*p. Is p >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0*w**2 + 41*w + 0 - 29\/6*w**3. Let q(n) be the second derivative of n**4\/6 + 5*n. Give q(t(j)).\nAnswer: 1682*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2.02. Let v = -27.87 - -27.83. Let i = t - v. Which is the nearest to i? (a) 3\/5 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62680, 67012, 71344, 75676, 80008, 84340?\n\"Answer: 4332*d + 58348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1468*k**4 + 5*k**2 + 3*k + 16. Let r(y) = -733*y**4 - 3*y**2 - 2*y - 7. Let g(b) = -5*r(b) - 3*t(b). Find the second derivative of g(l) wrt l.\nAnswer: -8868*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*k - 845 = 5*v, 32*k = -3*v + 7*v + 31*k + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583*b + 572*b + 28138 = 0. List the prime factors of b.\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/1175435 and -74\/8228045.\nAnswer: 8228045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11301*-39.\nAnswer: 440739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -1\/84*i**7 - 1\/24*i**4 + 0 + 0*i**2 + 1\/40*i**5 - 5*i + 1\/60*i**6 + 0*i**3. Factor p(r).\nAnswer: -r**2*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 252097455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 15, 14 = i - 6*h + 2*h. Suppose -q + i = 4. Which is greater: 6 or q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1926 by 3.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*f**2 - f**3 + 1 - 688*f + 0 + 1377*f - 5*f**2 - 690*f to the form q*f**2 + g*f + c + s*f**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*p**3 + 1431*p**3 - 703*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + 0*n)*(-4 + 5 - 3) + 2*n - n + 0*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -26 (b) 2 (c) 1934\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 1, b: 2, f: 1}. Give prob of picking 1 h, 1 u, 1 b, and 1 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/11, 654495417 in decreasing order.\nAnswer: 654495417, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -0.4, 2205546?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, -28, -3\/14, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -0.2, -3\/14, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 28. Let i be x(0). Suppose 2*a - 2*p = 1 + 1, 2*p + 12 = 4*a. Suppose -3*d = -3 - 12, 2*d - 8 = 2*w. Sort w, a, i.\nAnswer: i, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3026 is divided by 190?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324\/(-330) + (-4)\/(-5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33135 or 231939\/7?\nAnswer: 33135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let u(a) = 2*a**2 - 335*a - 64. Give u(y(v)).\nAnswer: 2*v**2 - 335*v - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2903*f + 1256*f - 50347 = 99*f + 55213 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 312241*r\/4 - 1561255\/2.\nAnswer: (r - 10)*(r + 312251)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 870555 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 70 = n - 1068, 0 = -4*n + 16. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 16.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 117325*w**2 - 200 - 2*w**3 - 117323*w**2 + 2*w - 789 as u + s*w**3 + a*w + r*w**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 206553 or 206584?\nAnswer: 206584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -85*w - 813. Let g be c(-10). What is the highest common factor of 148 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/8 and 8554 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -362627 (base 8) in base 13?\nAnswer: -44775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4*i - 3*i + (i + 3*i - 2*i)*(-1 + 0 + 3))*(-3*i - 2 + 2 + 3*i - 3*i - i + (2*i + i - i)*(-1 - 4 + 4)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 52 (b) -1\/35 (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -10*b - 125. Let h be y(-13). Let f(j) be the first derivative of -11 - 1\/9*j**4 + 2\/9*j - 2\/45*j**h + 2\/9*j**2 + 0*j**3. Factor f(i).\nAnswer: -2*(i - 1)*(i + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-9)\/c*c*c)\/c*c*c)**(-3\/10) assuming c is positive.\nAnswer: c**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-18))\/(3\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -19*d + 22*d - 2*x, 4*x = -6*d - 26 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 750056340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-20 - (0 + -12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -5*k**4\/6 + k**3\/3 + 50*k**2 + 5*k. Let q(r) = -r. Determine q(z) - w(z).\nAnswer: 19*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(2\/7))**22*((k**6*k)\/k)\/k**5)\/(k\/(k\/(k\/(((k*k**(2\/11))\/k)\/k)))*k**(-1\/2))**(-1\/4) assuming k is positive.\nAnswer: k**(24051\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 + 0.44. Let h be 3\/(-2) + (-10)\/((-200)\/35). What is the nearest to 0.01 in -0.1, b, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 84. Let t(n) = -n + 1. Suppose -5*g = -4*d - 9, 0 = 3*d + 2*g + g. Let v(z) = d*t(z) + y(z). List the prime factors of v(0).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-48))\/((-150)\/(-60)) - (-188)\/(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2538 is divided by 551.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 7 - 27 = 11*p, -9*r - 68 = -11*r - 3*r + p for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(272) + 1 + sqrt(272) - -2*(1 + sqrt(272)))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 0.3 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3\/2 + 43*u**2\/2 + 21*u = 0.\nAnswer: -42, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from faaqaaaaaaaqqqqaq?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/6)\/(2\/(-6)). Suppose c*a - 1024 = 7*a. Calculate the greatest common factor of 32 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1582*q - 537880. Calculate l(340).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = i - 2*i. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 231 + -120. Let w = i - 109. Let c be (w - -110)\/(3 - 1). What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 856 = -752. Calculate the remainder when c is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 22. Suppose -n + 2*a + 8 = -2*n, -2*n + 5*a = -20. Solve n = k - v + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 162 = 4*r + 2*n, 0 = -4*r - 4*n + 172. Calculate the remainder when 150 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 65*d**2 - 52*d + 159. Let w(t) = -4*t**2 + t - 13. Let u(r) = -q(r) - 16*w(r). What is u(37)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -20. Calculate the greatest common factor of 913 and i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/2223612 and -59\/4694292.\nAnswer: 42248628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1319 and 5.\nAnswer: 6595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3133911 by -94967.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 1\/270*l**5 + 1\/54*l**4 + 0*l + 1\/27*l**3 + 0 + 3*l**2. Factor f(c).\nAnswer: 2*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568400578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21468, -86626, -195214, -347226, -542656, -781498, -1063746?\nAnswer: -1389394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/790 and 73\/12956.\nAnswer: 64780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5. Suppose 4*w + 3*v + 20 = 0, -w - 4*v - 20 = 3*w. Let o be (-2)\/4 + (-14)\/4. Sort o, q, w in ascending order.\nAnswer: w, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 23 = 11, 2*q = -r - 11. Put q, 3, 5, -0.2 in increasing order.\nAnswer: q, -0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -66, 3.\nAnswer: -66, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 310 + -305. Solve 0 = -4*t + l + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12123 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -875, -1732, -2567, -3368, -4123?\n\"Answer: 2*v**3 - v**2 - 868*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63119 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4279*n**2 - 3220*n**2 + 7500*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -8*k**3 + 2*k**2 - 8. Find the second derivative of p(g) wrt g.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1473 + -152.8627. Let n = m - -157. What is n rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 0. Let d = 59 - 58.77. Let m = -0.03 + d. Which is the second smallest value? (a) m (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(19) - -4*(sqrt(19) + 0)) + 1 + sqrt(1216))**2.\nAnswer: -3212 - 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26922 is divided by 306.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -212201*d**2 - 8107 wrt d.\nAnswer: -424402*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234968 + -0.1.\nAnswer: -234968.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7113?\nAnswer: 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 869.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - 3 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1707 + -1707.1. Let u be 3\/6 + 5\/(-6). Let k = -89 - -80. Which is the third smallest value? (a) o (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*k = 3*c, -k = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*l**4 - l**3 + 237*l**2?\nAnswer: 1560*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2623, 3, 4 in descending order.\nAnswer: 4, 3, -2623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 58. Let w(r) = 182*r**3 + 3*r**2 + 4*r - 3. Let g be w(3). Is 16 a factor of -1 + a\/6 + g\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 1\/2, 0, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yilcylic. What is prob of sequence lcc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 7*p**2 + 1. Let g be a(-7). Let k(d) = d**3 + d. Let z be k(g). Is (-49)\/(-2) - z\/(-4) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86301, -86424, -86535, -86628, -86697, -86736, -86739, -86700?\nAnswer: -86613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.7? (a) -0.1 (b) 2\/11 (c) -29\/8 (d) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48.1 - 46. Let z = 20.1 - c. Let o = -17.999987 + z. What is o rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 2*v**2 + 37 + 2*v**2 + 38.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 27400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -72583?\nAnswer: -3\/72583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1095565122 to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1689363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2497902 is divided by 107?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r*u**2 - 132*r + 6*u**4 + 4*u wrt u?\nAnswer: -4*r*u + 24*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0504 + 923\nAnswer: 923.0504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - n - 1. Let k(w) = w**3 - 7*w**2 - 8*w + 9. Let p = -6 + 14. What is the remainder when k(p) is divided by u(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/3)\/(10\/(-66)))\/(4\/20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*m + 6 - 7.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 4*r**2 + 6*r - 5. Let g be o(5). Let i be -6 + g + (2 - 2). Let k = i - -17. What is the remainder when 21 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158874545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-22)*d)**(-14)\/(d**13*d**11) assuming d is positive.\nAnswer: d**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 469, 486, 521, 580, 669, 794, 961?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 93, 188, 283, 378, 473?\n\"Answer: 95*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*q - 7. Let b(i) = -4*i**2 + 1. What is b(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-49.013.\nAnswer: -49.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 323 (b) 20 (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112486 + -112480.43995. Let m = 5.7300435 - q. Let c = m + -0.17. What is c rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 11. Let w = 21 - p. Let b = w - 8.93. What is b rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8034 is divided by 504?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 4, 5, -2.9, -2\/3 in decreasing order.\nAnswer: 5, 4, 1\/11, -2\/3, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 18.4.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2200068 and -295.\nAnswer: 2199773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*y + 16. Suppose -4*t - 12 = 0, -4*c + 0*t - y*t = 11. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 2. Let g be v(0). Let u be -4*(g - (-21)\/10). What is the smallest value in -5, -3, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -842628*z**2 + 189331*z + 3.\nAnswer: -1685256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-26)*a**(-40)\/a*a*(a**(-4\/5))**(4\/3))**13 assuming a is positive.\nAnswer: a**(-13078\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**2 + 20*d + 3. Let m(k) = 2*k**2 - 7*k - 1. Determine -3*l(g) - 8*m(g).\nAnswer: 2*g**2 - 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125831355 to the nearest integer?\nAnswer: 11217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = w - 4, w = 4*z - 11. Let l = -10 + w. Let q be (-6 + 4)\/(l\/8). Calculate the highest common divisor of 144 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50673)\/735 + 28\/(-490).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -179*v**2 + 2517*v + 5. Give p(14).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*l + 4*l - 25 = 0, 10 = -5*l. Let t = 52 - x. What is the remainder when 68 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/24 - 51\/34?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -3*b + 8*i, 4*b - 2*i + 12 = 0. Let y be 2*(3 + -1)\/22. What is the closest to b in y, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -348*k + 90472. Give m(260).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 874. Let p(a) = -28*a**2 + 2. Determine u(p(b)).\nAnswer: 28*b**2 - 876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -263, 12, 3, -8, -1, -1\/17, 17?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691524?\nAnswer: 2, 3, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 0 - 1 + s**4 - 11866*s**3 - 3*s**4 + 11914*s**3 to z*s**2 + x*s + j + g*s**4 + n*s**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-160 + 147 - (1 + -4)) + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 28 - q**2 - 5*q + 3*q - 25. Give y(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79281795 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27588 and 44802?\nAnswer: 10842084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 3*f**3 - f**4 - 2*f**3 + (-3*f**2 + 3*f**2 - 2*f**3)*(-185 - 108*f + 185).\nAnswer: 215*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 9*h**2 + 20*h - 7. Let c be b(12). Suppose 667*g = c*g + 104. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*d + 3*u - 17 = -134*d, 0 = 3*d - 5*u + 28 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1027 (base 14) to base 6.\nAnswer: -20511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 7. Let y = q + 2.1. Let m = 101.2 - 101. What is the smallest value in m, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(540)\/sqrt(9) + sqrt(60))*-3)\/sqrt(12))**2 + -1 + -3.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 1\/30*t**7 + 0*t**6 + 0*t**5 + 0*t**4 + 0*t + 2\/3*t**3 + 0 - 12*t**2. What is the derivative of q(z) wrt z?\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 4*f + 2*f)*(2*f + 1 - 4*f + 0*f + (-2*f + 4*f + 0*f)*(1 + 2 - 1)) in the form x + t*f**2 + q*f and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(102) + sqrt(102)*-1) - sqrt(102)*-2*1)*-6)\/(sqrt(600) + sqrt(600)*2*2 + -5*(sqrt(600) + -1*sqrt(600))).\nAnswer: -6*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/(-105300)*54*(-5)\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845453943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -555, -544, -533, -522, -511, -500?\n\"Answer: 11*m - 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 220391 = -321167. What are the prime factors of o?\nAnswer: 2, 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9637.4 * 0.211.\nAnswer: -2033.4914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 + 10*i)*(1 + 3 - 2)*(6 - 3 - 1)*(i - i + 5*i).\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v + 4. Let f(k) = -69*k - 21. Let y(x) = 4*f(x) + 21*m(x). Let j(d) = 120*d**2. Determine y(j(r)).\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 67 = 4*p. Which is the closest to -2? (a) -2\/7 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 29*c**3 + 4. Let z(m) = 30*m**3 + 5. Give -5*h(f) + 4*z(f).\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 2*g**2 + 7. Suppose -18*n - 73 - 35 = 0. Let q(b) = -b**3 + 5*b**2 + 2*b**2 - 9*b**2 - 6. Calculate n*j(t) - 7*q(t).\nAnswer: t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 24241 - 24201.0472. Let h = 40 - f. Round h to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0289548 rounded to two dps?\nAnswer: 18.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 440 = 17*k. Calculate the remainder when k is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259.8189 weeks to seconds.\nAnswer: 157138470.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*x + 16095 = -0*u, 5*u - 20105 = -x. Let d be u\/4 - 4*1. Let f = -534 + d. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most -61255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1078*x**2 - 1814*x**2 + 893*x**2 to the form d*x**2 + o*x + g and give d.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*(-6)\/(-12)*-7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (582\/291)\/(46\/(-3))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-9))\/((-1)\/(-6)). Suppose -2*y + 12 = 8. Which is the nearest to l? (a) y (b) -15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 175 and -0.2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + -3.5. Which is the nearest to 0? (a) 0.4 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 456.\nAnswer: -31.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35330.2841 - -35330. What is s rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*d + 703*d + 703*d + 701*d - 2797*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39612*a**2 - 332291*a.\nAnswer: -79224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h**2 - 4*h + 3. Let m(y) = -42*y**2 + 427*y - 75. Let z be m(10). Let l(k) = -16*k**2 + 7*k - 5. Let v = -11 + 8. Calculate v*l(s) + z*c(s).\nAnswer: 8*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 73. Let d be u(11). Find the second derivative of d*m + 96*m - 100*m**2 - 85*m**2 + 196*m**2 wrt m.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2186789 and 1342?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 33*p**3 - 10*p**2 + 30*p - 3. Let d be k(3). Do 887 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/3*(-1)\/2. Let i be y + 5 + 1*-3. Solve 4*g - g = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + 2.2. Let w = 330 + -331.6. Which is the nearest to -5? (a) 1\/3 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from cxxx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*k**2 + 0 + 2\/9*k**3 + 2\/9*k.\nAnswer: 2*k*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 17*c - 25. Let r(p) = -8*p + 12. Let u(j) = 7*r(j) + 3*t(j). Let g be 6 - (10\/6)\/(70\/(-210)). Give u(g).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542076573 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153318 and 27876?\nAnswer: 306636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134612?\nAnswer: 2, 73, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 + -89. Suppose -b = -4*c + 17. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4*(-2)\/(-3). Suppose 5*u + 5*w - 7 = 2*u, -g = -u - 3*w. Solve -11 = -4*m + q, -3*m - 3*q - u = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 + 2 - 7*z - z**2 + 6*z**2. Let l(x) = -9*x**2 + 8*x - 2. Suppose 0 = -2*b + 2, -2*f - 4*b = -18. Calculate f*s(h) + 6*l(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 24 = 7*f. Let x(z) = -6*z**2 - f - 6*z - 3*z**2 + 2*z**2 - 4*z**2. Let o(b) = -4*b**2 - 2*b - 2. Determine 8*o(g) - 3*x(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 94. Calculate l(19).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -4*t - 31. Let g = -25 + t. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 27 = 4*n. Sort 2, n, -3\/7.\nAnswer: n, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let c = -14 + 21. Suppose c*v = z*v. Is v at least 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 0*k + 126 + 27\/4*k**4 - 7\/2*k**2 - 3*k**3. What is the third derivative of z(l) wrt l?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29224)\/(-65) - (-3)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36572 + 87372. Round z to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 2*s**2 - 330962*s + 330962*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 + 4*x**2 - 3.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5898553\/304 + -19403. Calculate the common denominator of -15\/22 and y.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-24)*36\/(-54))\/(3\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3248?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2585, 2588, 2591?\n\"Answer: 3*b + 2582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g - 568. Suppose -323*l - 984 = -364*l. What is the least common multiple of l and 1\/4 + g\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 10 = -3*l + 5*w, -3*l - w = -10. What is the remainder when 1\/(-3) - 46\/(-3) is divided by l\/((-1 - -5)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6579, 6381, 6051, 5589?\nAnswer: 4995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 516*g**3 + 29754*g**2 - 584820*g + 555579.\nAnswer: 3*(g - 57)**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153055350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 - d - 2. Let o(h) = 68*h**3 - 7*h**2 + 7*h + 13. Calculate -2*o(c) - 14*p(c).\nAnswer: -150*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 11:09 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1311760*f**2*m**4 - 7837*f**2*m**2 + f**2*m - f*m**6 + f*m**2 + 97*f wrt m.\nAnswer: -31482240*f**2*m - 120*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -398*q - 19. Let y = 59 + -68. Is h(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 179\/4. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 5*j - 6. Let m(l) = -3*l**3 + l**2 + 2*l + 1. Let a be m(-2). Suppose 5*k - 22 = 2*s, 3 = -4*s + 2*k - a. Calculate o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10167046 is divided by 2123?\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1804 and 89\/191820.\nAnswer: 86510820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0343573 rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2056\/9 < -228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 6\/3 - -1. Let z(i) be the first derivative of 11*i**4\/4 - 7*i**3\/3 + 3*i**2\/2 + 9*i - 192. Is z(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*k + 2*m, 4*m = -2*k - 0*m - 18. Let y(j) = -10*j + 1. Give y(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -123. What is the greatest common divisor of j and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42863.6 - -42865.6. Let d = 3 + -3.5. Let g = 5.5 + -0.5. Sort j, d, g in ascending order.\nAnswer: d, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6*-3*28\/21. Calculate the highest common factor of 12 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6913 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10784*i - 3*d = -10785*i - 58, -d + 22 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -13375?\nAnswer: -13374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418440?\nAnswer: 2, 5, 35461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -2*3\/(-6). Let n(l) = 10*l**2 - l - 1. Let s be n(-1). Let v = s + w. Solve 0 = 3*m - v + 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 248162*t**4 + t**3 + 5*t - 24438168.\nAnswer: 992648*t**3 + 3*t**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.17505.\nAnswer: -0.052515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -429 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-34 - (-11 - 27))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336828 and 6.\nAnswer: 336828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198392800?\nAnswer: 2, 5, 247991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u. Suppose -4*j - 4*b = -8*j + 60, 4*b - 16 = 0. Let o(z) = 65 - 65 - j*z. What is o(k(r))?\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {l: 7, d: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1829*l + 19*l**2 + 912*l - 20*l**2 + 917*l. Let w(f) = -514*f. Give j(w(a)).\nAnswer: -264196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -723 in descending order.\nAnswer: 3, 0, -723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63140 and 12.\nAnswer: 757680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134685 is divided by 1496?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 0 - 5\/2*r**2 - r - 5\/6*r**3 - 1\/12*r**4. Determine h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000011000001010110 (base 2) to base 11\nAnswer: -178282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 5*y**2 - y + 3. Let l = 11 - 6. Let u be h(l). Let t be 1*-1*0\/u. Solve 3*k + 15 = -t*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5011*t*x**3 - 4*x**3 + 66 wrt t?\nAnswer: -5011*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - 3*b)*(4*b**2 - 7*b**2 - 20*b**2)*(b - 3*b + b).\nAnswer: 23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*q + 174*q + 733 - 736 + 184*q + 207*q to s*q + a and give s.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845348.\nAnswer: 2, 7, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 64190*k + 193087. Calculate f(-3).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 3*m + 2*m)*(-m - 9 + 9)*(-1 + 4 - 1)*(0 - 1 + 2) as q*m + r*m**2 + w and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 1\/300*i**6 + 2 - 1\/60*i**4 + 1\/150*i**5 + i**2 + 0*i - 1\/15*i**3. Let r(u) be the second derivative of n(u). Factor r(v).\nAnswer: 2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/7 - 224*t**3 - 3130*t**2\/7 - 1564*t\/7 = 0.\nAnswer: -782, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9 - (-7)\/42?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/12)\/d**(-3\/5))**(-42)\/((((d\/(d**1\/d))\/d)\/d)**(1\/9)*(d**(-1\/4))**(-16)) assuming d is positive.\nAnswer: d**(-2303\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from qzqqqzqzqzqzq.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 5, t: 7}. What is prob of sequence tnn?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -16) + 8 - 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from hagfbkkkhgkg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 8. Calculate the remainder when 39 is divided by ((-285)\/(-38))\/(3\/c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -13. Suppose 608 = 3*f - q + 38, -o*f - 5*q + 970 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34382 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + -16 + (6 - -5) + 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 174. Let b(r) = -889*r - 4. Let y(u) = 221*u + 1. Let j(s) = -b(s) - 4*y(s). Determine l(j(q)).\nAnswer: 50*q**2 - 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3844312*w*y**2 + 90*w*y + 904*w - 21*y wrt y.\nAnswer: -7688624*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2860\/220 - ((-3)\/(-69))\/((40\/(-3005))\/(-4))\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(192) + sqrt(3) + sqrt(6)\/sqrt(2) + 3.\nAnswer: 3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 49300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -138?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1 = -3*y - 6, -2 = -3*t + 4*y. Suppose 0 = 3*s - t*s. Suppose s*z + 2*z = 0. Which is smaller: z or 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 20*m - 73 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1104505 (base 6) to base 2.\nAnswer: -1101100010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - j + 2*w - 1, -5*j - 4*w = -5. Let a be 12 - j*(-6)\/9. What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 1:50 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 13*r**2 - 11*r + 12. Let f be j(-12). Suppose -2*w = -w - f*w. Solve 0*o - 4\/9*o**3 + 2\/9*o**4 + 0*o**2 + w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 2, k: 1, g: 3, d: 5, c: 1}. What is prob of sequence gg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = s - 0. Suppose -20 = -4*a + s*c - 2*c, -3*a + 15 = -2*c. Solve a*b - 3 = q + 7, 3*b - 18 = 3*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 20 = -5*n - 6, -2*t + 4*n = -2. Suppose 0 = -2*d - 9 - 1, -4*j + 2*d = -10. Suppose 3*z + j*z - 3 = 0. Solve w - t = -w + 3*o, -o = z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 15 = g. Let x(t) = -5*t - 8. Let u be 12 + ((-1150)\/20)\/5 + (-30)\/(-4). Let w(p) = 14*p + 23. Determine g*w(q) + u*x(q).\nAnswer: 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -4210002?\nAnswer: -4210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1045\/36463 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-5 - -1) + 4). Suppose 1 = -q - b, 4*b = -3*q - 0*q - 4. Solve n = -3*o - q*o - 5*v - 11, o + v = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586424925 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 7*a - 1 - 11*a. Let p(x) = -2*x - 2. Let b(t) = 3*p(t) - 4*q(t). Differentiate b(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 6954?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1672.525 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*q - 1348, 9*a - 2*q + 337 = 10*a. Calculate the least common multiple of a and 11.\nAnswer: 3707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5897.51 tonnes in nanograms?\nAnswer: 5897510000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59625, 1, -4 in descending order.\nAnswer: 1, -4, -59625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 10*z**2 + 6*z. Let k be d(6). Suppose -54 = -3*b + k. What is the remainder when b is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/(-36)*4\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.11 (b) 0.018 (c) -705\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*g - 45*g + 198*g - 29*g.\nAnswer: 287*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557414812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 28*m - 12. Let g be x(-10). Let n(q) = 8*q + 4. Let o be n(g). Calculate the highest common divisor of o and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48841140 - 54769.8?\nAnswer: -48895909.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375*p = -377*p + 2734. What are the prime factors of p?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 104955, 103562, 102167, 100770, 99371?\n\"Answer: -j**2 - 1390*j + 106346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - u. Let n(p) = -55*p**3 + 5*p. Let h(x) = -4*l(x) - n(x). Let g be h(1). Let z = 8 + 2. Solve 4*s = -2*y + z, -y + 6*y = 5*s - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 3*16\/3. Let j = v - -30. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1222?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171500282 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - -4 - (-223 + 251)) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*r + 79*r - 135*r + l - 2 + 11, 0 = r - 26*l - 59 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 284236883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4\/(-4)*-3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4. Let k(n) = n**3 + 7*n**2 - 10*n - 16. Let f(j) = -2*h(j) + k(j). Give f(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(44)\/(sqrt(22)\/sqrt(2))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3510 + -3513. Let i(l) = l**2 - 6*l - 7. Let c be i(7). What is the units digit of k + 1 - (-84 - c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 - -12 - (0 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let b be u(-8). Let w(x) = x**3 + 7*x**2 - 9*x - 1. Let c be w(b). Let o = 7 - c. Solve -2 = d + h, h + 1 - 2 = o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1332 - -1332. Solve -5*f + 3*i + 12 + 15 = c, 0 = 5*f + 4*i + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1499, 2 in ascending order.\nAnswer: -3, 2, 1499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/15*(-22)\/528*60?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-61.71\nAnswer: -30.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1562 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1784\/3, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 - (-74)\/2. Let r = -36 + c. Solve r*h - 6*h = t + 2, 0 = t + 2*h + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1217 - -1217.06312. Round m to 3 decimal places.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(1053) - sqrt(1053)) - sqrt(130)\/((-1*sqrt(1210) - sqrt(1210)) + sqrt(1210) - sqrt(1210)))**2.\nAnswer: 13\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 - 8*g + 1. Suppose -a + 4*r = -3*a - 2, a = -3*r - 3. Let c be -2 - (11 - a)*(-2)\/4. Calculate the lowest common multiple of m(c) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 914755, 1829444, 2744133, 3658822?\n\"Answer: 914689*q + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-90))\/((-1)\/(-24)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 6, l: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 11*y - 9. Let m be n(12). Suppose -4 = 4*z + 2*v, -4*v = z + 2 + 6. Suppose z = 5*s - 5, m*g = s + s + 409. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Suppose 2*g - v*l + 30 = 5*g, -2*l = -2. Suppose -j - 2*j + g = c, 4*j + 4*c = 4. Solve -j = h + h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8397 + 4303*w - 602*w + 8397 as d*w + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4488 and 5984?\nAnswer: 17952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5625 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bibbbubiuibub. Give prob of picking 1 i, 1 b, and 2 u.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153971 divided by 4?\nAnswer: 153971\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -162?\nAnswer: 15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1331)*-3 + -4))**2 - ((1 + sqrt(1331))*1 - -1*sqrt(1331)*1)**2.\nAnswer: 6556*sqrt(11) + 294550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 151. What is z(-35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + (1 - -2) + (-39 - -82 - 50).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9742793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -335696.9 rounded to the nearest 1000?\nAnswer: -336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 13. Let a(s) = -s - 15. Let o(d) = -d - 14. Let r(g) = -5*a(g) + 6*o(g). Let x be r(-6). What is the smallest value in x, 1, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*((-5)\/2 - -2). Suppose 2*o - 2*z + 548 = 0, 5*z - 275 = -2*o - 795. Let u = -268 - o. Which is the third biggest value? (a) t (b) u (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11739, 23528, 35317?\n\"Answer: 11789*i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvyvvvyvvvvvvy. Give prob of sequence vv.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -63813*p - 574365. Give u(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 b, and 1 e when three letters picked without replacement from {b: 2, q: 1, g: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((1 - 2)*1). Suppose -4*l = -23 + 7. Suppose 0 = 2*h - 3*w + 3, 5*h = l*h - 3*w + 12. Solve h*a - 6 = -t*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let k be a(-2). Find the third derivative of 0*c**2 - 4*c**2 + k*c**2 - 3*c**4 + 3*c**2 wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -150 + 253 + -5 + 1 + -8.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzl when four letters picked without replacement from {a: 1, z: 6, b: 1, l: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -6, -5*o = -2*t - 5. Let k be ((-1*4)\/8)\/(39\/(-36)). Does o = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -550130000 to the nearest one million.\nAnswer: -550000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**4 + 67*z**2 + 69*z wrt z.\nAnswer: -24*z**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78659717?\nAnswer: 47, 313, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.95 - -1. Let w = 3.34 + -1.34. Which is the third smallest value? (a) w (b) -4\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 11*m**2 + 13*m - 25. Determine a(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a**2 + 3*a - 1. Let x(f) = 103*f**3 - 2*f**2 - 5*f + 1. Determine 2*l(s) + x(s).\nAnswer: 105*s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t + 20. Let b be x(4). Let m = 26 + -23. Sort m, 4, b, -3 in descending order.\nAnswer: 4, m, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132784 is divided by 2406.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60928088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9771 and -5.4377.\nAnswer: -53131.7667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160\/7 + 159\/7. What is the closest to -6 in 0.01, u, -0.4, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 1665.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18264.08ml in litres?\nAnswer: 18.26408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2358037\/7 - 336250. Let q = w - 611. Factor 2\/7 + q*c + 8\/7*c**2.\nAnswer: 2*(c + 1)*(4*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82582\/(-67510) - 9\/(-387)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*b - 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10044092 to the nearest integer?\nAnswer: 3169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 smaller than 1497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {c: 1, p: 2, x: 2, v: 2, l: 1, m: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 + 4.87. Let m = -0.3 + 0.1. Let l = m - -0.6. What is the closest to 2 in i, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 - 66. Let x = 208 - d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171652 divided by -13204?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 12:34 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.1 + 15.64. Let w = v + -1.53999827. Round w to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 920 and 14.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1128.96 + 1110. Let t = q + 20. Let f = 0.04 - t. Put -0.3, f, 0.2 in ascending order.\nAnswer: f, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*s + 4, 3*i + 9 = 5*s + 20. Solve -8*q + 7*q = i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.936 + 37.646. Let g = a - 32.83964. Let t = -0.13 - g. Round t to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -639 or -638?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3 (c) -1.6 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169*q + 99*q + 100*q + (3 - 2*q - 3)*(-1 + 0 - 3) - q - 2*q + 0*q to the form f*q + j and give f.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 11:55 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 256 + 242\/(396\/18). Solve 2*g = 2*r, 264*g - y*g = -4*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, 9.85 in decreasing order.\nAnswer: 16, 9.85, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1630765 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Suppose 0 = -3*l + q*t + 1464, 3*l + 4*t = -0*t + 1482. Is l\/26 + (-10)\/(-65) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0597 and 0.5.\nAnswer: -0.02985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1272740 - -5?\nAnswer: -1272733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213.145 + 20.\nAnswer: -193.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73485.08 millilitres?\nAnswer: 73.48508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3330 + -100?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 1112211102?\nAnswer: -1112212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 11:21 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 958933 to the power of 1\/2, to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-15)\/(225\/(-3520)) - (-8)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*-1*(-1 - -2). Suppose 4*c + 3*w = 22, -4 = -c + 5*w - n. Let i be c\/14 - 4\/14. Solve 3*p = -b + 10, 5*b + 20 = -p - i*b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -65 (b) -0.1 (c) 4\/11 (d) 3\/1717\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4, 0, -2\/281, 6\/7, 40, -3?\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2039491 (base 10) to base 11.\nAnswer: -1173333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - 11 - x**3 + 2*x + 2*x + 9 to m*x**3 + d*x + r*x**2 + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 4592*c - 22987. Determine b(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 13*u + 19. Let z = 18 + -36. Let j = z + 32. Let k be m(j). Solve -d = -0*d + k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4610967091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/165)\/(8\/20)*(-1629)\/(-543)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -1000011011011?\nAnswer: -1000011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 - 2*g + g**2 + 5*g**2 + 5138 + 5*g**2.\nAnswer: 2*g**2 - 2*g + 5138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xioxxxxxxxxio. Give prob of picking 2 x.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 + -11)*38\/(-38). Let f = 33 + -33.4. Sort 0.4, p, -0.13, f in descending order.\nAnswer: 0.4, -0.13, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*j + j - 75 = 0, -2*n + 5*j = 30. What are the prime factors of (-366)\/(-15) + 6\/n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -10*i. Let r(m) = 99*m + 112*m - 467*m + 103*m + 124*m. Give 11*k(u) - 4*r(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/8))**(-2\/13)*(q**(-7\/3))**9 assuming q is positive.\nAnswer: q**(-1103\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5*-61 + (-2)\/(-10). Let g = -2 - 29. Let o = m - g. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1410432269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53751626?\nAnswer: 2, 1039, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 7*x + 4*x + 97 = 9*x, -5*q + 81 = -3*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4760 = 7*l - 9*l, -5*t - 4*l + 4790 = 0. What are the prime factors of t?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 19*o**3 - o + 1. Let g be f(-1). Is ((-159)\/(-6))\/(4\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -4*a + 7\/2*a**4 - 9 + 8*a**3 + 3*a**2. Factor f(o).\nAnswer: 2*(o + 1)**2*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 8:11 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 421*t - 751. Let i(w) = -3*w**2. Calculate s(i(p)).\nAnswer: -1263*p**2 - 751","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 44 = 5*t, 0*t + 3*t = 12. Suppose -4*a - 8 = -c*a. Differentiate -1 + 3*p**2 + a*p**2 + 4*p**2 - 2*p**2 wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07790238 + 1.\nAnswer: 1.07790238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5453206.1 rounded to the nearest 100000?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.77+-55298\nAnswer: -55297.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0.1858 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpmtpzmmzsdsszp. What is prob of picking 3 z and 1 p?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 8*y + 15. Let r be c(5). Solve r = 2*h - 6 + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 69030 = 5*y. Suppose 3*p + d = -2*p + y, -d = 2. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x**2 - 5*x**2 + x**2 + 4*x**2 as f + r*x**2 + j*x and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9905 and 200915?\nAnswer: 398012615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 + 66\/18. Let o be (12\/(-8))\/((-3)\/a). Suppose -o + 10 = -4*s. Put 2, 3, s in decreasing order.\nAnswer: 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1778 by -78268.\nAnswer: 889\/39134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/14 - 13*(-11)\/(-1001). Solve c*j - 25 = 3*o - 8*o, -25 = -5*o + 3*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -333*c**4 + 2*c**3 + 6*c - 7781. Let a(b) = b**4 - b + 3. Let h(j) = -6*a(j) - x(j). Find the first derivative of h(d) wrt d.\nAnswer: 1308*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x + 8. Let o(l) = 3*l - 2. Let r(b) = -2*b + 1. Let i(t) = -4*t**3 - t. Let d be i(-1). Let z(v) = d*r(v) + 3*o(v). Give s(u) + 6*z(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -19*f - 13*f + 28*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 20\/4231 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -3, -11, 6 in descending order.\nAnswer: 6, -3, -11, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 - (-3 - -1 - (0 + -59 + -1576 + 1619))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 0*i)*(2 - 2 + 4) + i + 2*i - 4*i + 3*i + 2*i - 4*i - 2477*i - 2469*i + 4949*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 11:01 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - (-2)\/(-1)) + (4 - 3). Solve -2*a + 12 = -z*t, -4*t + 2*a = a + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 4*p - 6. Give t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 8*x - 12. Suppose -6 = p - 1. Let l be w(p). Let g(n) = 7*n**2. Let s be g(1). Solve 8 = v + 2*m, -2*m + s - l = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.121253786 - -226.121254696. Let l = y + -187. What is l rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8127*h**2 - 4*h + 3 + 4*h - 2 - 7741*h**2.\nAnswer: 386*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 + 4*h + 1. Suppose 19*g - 6 = -3*p + 14*g, 0 = -5*p - 4*g + 23. Calculate the remainder when x(-3) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18546679309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*k**3 - 3*k**2 - 3*k**4 - 9*k**2 - 32*k**3 - 2*k + 2*k**4 in the form q*k**4 + d*k**3 + f + a*k + u*k**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 5*p, 4*p = 5*s + 1. Let i(y) be the second derivative of 4*y**4\/3 + y**2\/2 - y. Is i(s) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/(-138) - 1\/6. Suppose 23*o - 281 + 74 = d. Solve -3*l - 3 = 3*w - 0*l, 0 = w + 3*l + o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 55452452\nAnswer: -5\/55452452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 - 107. Let u(j) be the first derivative of 0*j**3 - 2 + 0*j + 1\/27*j**b + 0*j**4 + 2\/45*j**5 + 0*j**2. Solve u(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 60980?\nAnswer: 2378220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-194)\/(-38) + 4\/(-38). Suppose 1068 = -u + m*u. What are the prime factors of u?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1227, 2455, 3683, 4911, 6139, 7367?\n\"Answer: 1228*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3\/3 - 1624*v**2 - 1628*v + 9752\/3 = 0. What is v?\nAnswer: -2, 1, 1219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 2*y. What is r(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 = -4*r, -4*r + x + 5 = -2*r. Suppose 3*k = -r, -2*i = -4*k - 10508 - 2394. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2049, -4113, -6175, -8235, -10293, -12349, -14403?\nAnswer: -16455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 943\/(-943)*(-2)\/(-23)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -34*l. Let n(a) = -22301 + 22301 + 4*a. Calculate i(n(r)).\nAnswer: -136*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/2, 0.2, -131, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/10 - 45\/36*-2. Which is the nearest to -4? (a) 42 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52881 is divided by 26425.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -31 + 36 - -1*(-2 + 3). Suppose -3*h - k = -5, -v*h - 7 = -5*h - 4*k. What is the second smallest value in h, 8, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 25*h**2 + 41*h + 88. Give s(23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 301*m**4\/2 + 467*m**3\/3 - 1385*m. Find the second derivative of b(l) wrt l.\nAnswer: 3612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*s - 11. Let f(m) = m**2 + 4*m + 3. Let b be f(-4). Suppose s*d = b + 3. Solve -2*n = -4*n - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -3, 3 in increasing order.\nAnswer: -3, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -4*x + 74 - 94, 20 = -4*x + d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*x**5 - 2*i*x - 7*i - 8860400*x**5 + 1842*x - 2 wrt x.\nAnswer: 20*i*x**3 - 177208000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 55*n - 232. Let b(r) = -155*r + 695. Let z(s) = 6*b(s) + 17*x(s). Let j(p) = 2*p. What is j(z(k))?\nAnswer: 10*k + 452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:31 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2137464 + 123035 = -23*a - 3102. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -5\/4, 2, 0.4577, 0.6, -1 in descending order.\nAnswer: 2, 0.6, 0.4577, 1\/6, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59159 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1352*p + 707069. What is u(523)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69675858?\nAnswer: 2, 3, 7, 552983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 14 = 6. Let j be (-4 - 606\/(-66)) + r\/(-11). Do j and 0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/123 + (-4)\/12. Let p = 0.355 - -0.035. Let s = p + -0.39. Do s and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 6)\/(1\/71). Let r = d + -49. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194608551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -4*(-7)\/(-28))\/((-14869)\/(-2)). Is 1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -1 + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 29\/((-522)\/(-324))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 - -121. Suppose -4*u = 47 + 57. Let p = k - u. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5928 to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23943 and 776239?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -162366*p**3 + p**2 - 541542 wrt p?\nAnswer: -487098*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, -550, -3.3, 0?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4490, 4488, 4486, 4484?\n\"Answer: -2*s + 4492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Suppose 2*g - 2*d = -0*d + 8, 7 = g - r*d. Let o(s) = -s - 1. Calculate o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/1368? (a) -1 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u + 5*u**2 + 5 - 2*u**2 + u**2. Suppose 0*p + p - 4 = 0. Is j(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d + b = 27*d + 8045, -d = 3*b - 4015. What are the prime factors of d?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 1. Let n(m) = -m**2 + 6*m - 4. Suppose 10*i = -9*i + 95. Calculate i*b(c) + n(c).\nAnswer: -c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 + 65.5. Let q be 77*(-7)\/385 + -1*2\/(-5). What is the second smallest value in q, 1\/2, g, -9\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -6*n + 60. What are the prime factors of (1885\/n)\/((-5)\/25*-1)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137308 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8011698904 + -0.2?\nAnswer: 8011698903.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 47. What is the smallest common multiple of 18 and 42 + (i\/(-6) - (-60)\/18)?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 57 = -2*s. Suppose 53 - s = 2*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**4 + 11880*x**3 + 6985080*x**2 - 85108320*x + 256614480 = 0.\nAnswer: -1194, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3*g - 3*v + 15 = 0, 4*v - 22 = 5*g. Let a = g + 4. Solve -5*b = a*h + 8, -5*h = -5*b - 3 - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.1 - -18. Let l = -9 + 13. What is the biggest value in f, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 741 = 5*q - 56736. Is q a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23351362 (base 7) to base 14.\nAnswer: -3b9b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/23? (a) -5 (b) 40 (c) -4 (d) 2\/9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5\/2 + 45*a**4 + 321*a**3 + 828*a**2 + 1731*a\/2 + 315 = 0. Calculate a.\nAnswer: -21, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-6) - ((-6)\/(-4))\/1. Let u(q) = 5*q + 5. Let a(r) = 4*r + 4. Determine p*u(c) - 3*a(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0 + 21\/10*g**5 + g**4 - 1\/5*g**6 - 1\/2*g**7 - 7\/2*g**3 - 3*g**2 + 4*g. Solve b(q) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 51?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 64.08926 millennia?\nAnswer: 640.8926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m - 5. Let a be y(-5). Let n = a - 31. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 181*k - 176*k + 5, 5*k = 2*j + 1. What is the third derivative of 208*h**3 + 60*h**2 + 24*h**j + 238*h**2 + 16*h**3 wrt h?\nAnswer: 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p + 2. Let i(g) = 20*g + 4. Let l(m) = 6*i(m) - 11*y(m). Let f(u) = 3*u - 6. Let v be (-2)\/(-4) - (-11)\/2. What is v*f(j) + 17*l(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2694.33*-6.\nAnswer: -16165.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 735*x**3 - 3*x - 2*x.\nAnswer: 735*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4437\/8 or 555?\nAnswer: 555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - u = -10, 0 = -k + 4*u + 2 + 3. Let q(a) = 6*a + 6 + 0 - 4. Let o(l) = -2*l - 1. Let x(d) = k*q(d) - 8*o(d). Differentiate x(y) with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06577661 rounded to four dps?\nAnswer: 0.0658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 5*y**2 + 22*y - 18. Let u be v(8). Let t be (-9)\/(-2 + (-102)\/(-45)). Let b = t - u. What is the nearest to b in 2\/13, -0.5, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = -5. Suppose 5*q - 3*a - 108 = 0, x*q + a = 6*a + 76. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 9 + 5*u - 5*u. Let b be t(-7). Solve b*z - 5*w = 43 - 18, 4*w + 5 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 14*z\/3 - 32\/3.\nAnswer: (z - 2)*(z + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -404191\/198 + -1894\/99. Let n = r + 2103. What is the common denominator of 0\/(-1) - (-60)\/22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayapuaau. What is prob of sequence yuu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-1710))\/((-10)\/45).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*n = -2, f - n - 24 = -f. Suppose -6*z = -f*z + 21064. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzmsemmermemm. What is prob of picking 1 z and 1 r?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/3 - 25*p**3\/3 - 27814*p**2\/3 + 418960*p\/3 + 928800 = 0.\nAnswer: -162, -5, 20, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-321)\/(-29) + 58\/(-841). Calculate the highest common divisor of m and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.42 - 198.42. Let s = j + 195.00286. What is s rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*u - 11175210 = 8*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q = i - 9602, 5*q + 3*i + 23994 = 0. Round q to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 826 divided by -6\nAnswer: -413\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -2 - -3 - -4. Suppose 0 = l - a*r - 5, 4*r + 47 + 33 = 5*l. Let i = l - 10. Calculate the remainder when 27 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47\/64? (a) 0.5 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 18?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 + 0*k + 0*k)*(-k**2 - 3*k**2 + 2*k**2) - 6*k**4 + 2*k + 0*k - k**4 to t*k**3 + v*k**4 + d*k + j*k**2 + n and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1265?\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16 = -6*b. Let k(i) = -i**3 - i**2 + i + 8. What are the prime factors of k(b)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 1\/6 (b) 1\/40 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 5*q**7\/21 + 7*q**6\/15 - 67*q**5\/40 - 55*q**4\/12 - 13*q**3\/3 - 2*q**2 + 56*q - 1. Suppose b(l) = 0. Calculate l.\nAnswer: -2, -1\/2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9173012 months in years?\nAnswer: 0.1597751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/4)\/(-5) + (-481)\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*x = -5, 3*x - 9 = -4*w - 0. Suppose 4*h + 3*d = 18, 0 = -0*h + 2*h + d - 8. Find the second derivative of 2*m**h + w*m + m + m**3 wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*c - 27280 = -93*c. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**3\/3 + 4*u**2 - 7*u + 1. Suppose -1 = 4*p - 21. Is 7 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 747, 1469, 2185, 2883, 3551, 4177, 4749, 5255?\n\"Answer: -2*c**3 + 9*c**2 + 709*c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*s + 182*s - 102*s as y*s + j and give y.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-16) + (-12)\/16?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9) - 12\/(-18). Suppose -4*f + 4*i + 572 = 44, f + 4*i - 127 = r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 9) to base 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*j - 3*m - 10, 4*j + m = 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -1144, 0.4 in descending order.\nAnswer: 3\/2, 0.4, -1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -10. Suppose -5*c + 0*i + q*i + 155 = 0, 4*i = 20. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + (-308)\/64 + 3 and (-185)\/(-4)*(-2)\/10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 1. Let r(b) = b**3 - 6*b**2 - 9*b + 10. Let c be r(7). Let a be l(c). Let p(u) = -2*u - 7. Is p(a) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*m + 2690 = 0, 0 = l - 0*l + 5*m - 518. Let p = l + -250. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 19 - (1 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 0.1, -3, -2.\nAnswer: -3, -2, 0.1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 j when four letters picked without replacement from {o: 6, j: 13}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -320*k**2 - 137*k - 47889?\nAnswer: -640*k - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (-2 + sqrt(72))*2 - (sqrt(72) - -2*(0 + sqrt(72))))*-3 + -4)**2.\nAnswer: -2304*sqrt(2) + 10624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = o - 280, -v + 5*o - 45 = -325. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.68 - 0.08. Let r = -6.4 - -7. Let p = j - r. What is the closest to 1 in 0.4, 0.2, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*n = -103*n + 60 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181056096 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582509?\nAnswer: 582509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -54. Suppose 0 = 6*a - 56 - i. Suppose -6*j = 2*c - 2*j - 12, -4*c + 34 = -2*j. Calculate the least common multiple of a and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 12. Let p(s) = -14*s - 2. Let x(z) = -3*z - 14. Let m be x(-5). Let q be p(m). What are the prime factors of d(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3\/7 - 14613*g**2\/7 - 2088*g = 0.\nAnswer: -1, 0, 4872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 11*t + 54*t - 27*t + 44.\nAnswer: 16*t + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10320)\/9)\/((-1)\/750). Round p to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/3 - 118*j**4 - 1824*j**3 - 23198*j**2\/3 - 6027*j = 0. Calculate j.\nAnswer: -7, -1, 0, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 130 = -29*b. Solve -7*c + b = -8*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = 3*z, -2*c = 4*z - 12. Let w(t) = -25*t + 2. Let a be w(c). Let n = a - -67. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 1.091\nAnswer: 10.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/26)\/((-10)\/130).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10) + 0)*5*(-14)\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167133617 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9399 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2927, -1163 in ascending order.\nAnswer: -2927, -1163, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2. Let g(y) be the third derivative of -y**4\/3 + 5*y**3\/2 - 735*y**2. What is z(g(h))?\nAnswer: -128*h**2 + 480*h - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 6:45 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:05 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 79243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3530 = -15*o + 3770 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253128 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 545, 1085, 1625?\n\"Answer: 540*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5\/3, -1\/2, 3\/13?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 285570786 a multiple of 1465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 180952 to the power of 1\/2, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1260 = 15*v. Calculate the lowest common multiple of v and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 14380*w - 10339220.\nAnswer: -5*(w - 1438)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2 + h + h)*(-2 + 6 + 7).\nAnswer: 22*h - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -6, -7, 36, 2 in increasing order.\nAnswer: -7, -6, -5, 2, 10, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15 - ((-1666)\/170 + 1\/(-5)). What is the second biggest value in 0.032, -25, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*n - 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 11. What is v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:49 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 8*t**2 + 6*t - 10. Let w be n(-7). Let c be 0*(w - -4) - -5. What is the third derivative of 2*l**5 - l**2 + 3*l**2 - 6*l**2 - 6*l**c wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1\/4 - 23\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38010384 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 24 - 12. Let k be 14\/y*(-28)\/(-49). Solve 0 = -2*m + k, 0 = -3*w + 5*w - 2*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239 divided by -93.\nAnswer: 239\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24383, 24954, 25525, 26096, 26667, 27238?\nAnswer: 27809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 222859.\nAnswer: -8\/222859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**3 + 3*i**3 + 715*i + 18*i**2 - 717*i + 29 + 0*i**3 - 2*i**2. Calculate z(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/2)\/(6\/(-12)). Suppose 3*f - b = 2*f. Sort f, -4, -1.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.87 * 0.01045\nAnswer: 0.2389915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*s**3 + 0*s + 0 + 0*s**2 - 2\/7*s**4 - 2\/7*s**5.\nAnswer: -2*s**3*(s - 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 12:29 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1394)\/(-123))\/(26\/39).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4*r*((r\/r**(-1\/11))\/r)\/r*(r**(-1))**(2\/73) assuming r is positive.\nAnswer: r**(3263\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*5*(-4*(sqrt(119) + sqrt(119)*2) + sqrt(119))\/(sqrt(77)\/(-1*sqrt(11))))**2.\nAnswer: 7405200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-8 + -9 + (-12 - -12))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 11301409?\nAnswer: 67808454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138470 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1326, -12.6, -2?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*i - 80*i = 127*i - 220*i + 2256 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -1085 (c) 1\/684\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j**2 - 111*j - 5. Let a(f) = 20*f**2 + 224*f + 11. Give -6*a(d) - 13*n(d).\nAnswer: -3*d**2 + 99*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 771?\nAnswer: 6168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 153307280 a multiple of 1372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:21 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*m**3 - 79*m**3 - 82*m**3 - 11*m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c + 2. Let r be a(3). Let h(z) = 3*z**2 + 4*z + 1. Let x be h(-3). Let n = r + x. Which is smaller: 5 or n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.441778 millennia to centuries.\nAnswer: 44.41778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g. Suppose g = -f - 3*f. Let l(s) = s**2 + s + 4. Let p be l(f). Is 4 not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 1351*p - 67178. What is i(-48)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 6*j. Suppose 0*f = 2*f - 6. Suppose f*a = -j*a + 21. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 15. Let l be (-1)\/(-1)*(2 + -5). Sort f, l, 2\/3 in descending order.\nAnswer: f, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57*o**4*w**2 + 90*o**3*w**3 + 6*w**3 - 63*w**2 + w wrt o?\nAnswer: -228*o**3*w**2 + 270*o**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-9)*y**(-19)*y**30*y*y\/((y*y**20)\/y))**(-2\/55) assuming y is positive.\nAnswer: y**(-6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - d + 9 = -3*d, d = -m + 3. Solve m*w + 10 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1610 - -1609.9. Which is the closest to n? (a) 1\/10 (b) 3 (c) 0.6 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/27 or -0.504556?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.28? (a) 2\/11 (b) -326 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, o: 3}. What is prob of picking 2 b?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 0.7, 5, 0.4, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 148*r + 5801. Calculate u(-43).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -622\/21 - -52699\/1848. Calculate the common denominator of r and 9\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19353 - 6384. List the prime factors of p.\nAnswer: 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Let a(w) = -7*w**2 + 6*w**2 + 0*w**2. Determine l(a(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/7))**(-16))**(-19\/3)*(s**(5\/6)\/(s*s*s*s**(-16)*s*s))**44 assuming s is positive.\nAnswer: s**(13670\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*c - 8*c - 3*c)*(3*c**2 - 5*c**2 - 3*c**2) + 92*c**3 - 47*c**3 + 7*c**3 to l*c**2 + h + r*c**3 + p*c and give r.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**5\/160 - 17*y**4\/64 - 15*y**3\/4 - 855*y**2. Factor x(w).\nAnswer: -3*(w + 5)*(w + 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1000498.9 rounded to the nearest one thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/711 and -42\/13351.\nAnswer: 120159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 409 - 107 + (0 - 1 + 3)*(5 - 5 + 4) + (-1 + 3 + 0)*(-2 + 1 + 3))*(-3*j + 2*j + 0*j + 1).\nAnswer: 476*j - 476","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5097916802 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(121)\/(sqrt(77)\/sqrt(7)) - sqrt(11))*-4 + sqrt(11)*4*4*-3)**2.\nAnswer: 21296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33957 take away 5?\nAnswer: 33952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 123*i**2 + 149*i + 10. Is b(10) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 3*f - 3*f + (-6 + 13 - 3)*(0*f + 2*f - 5*f))*(-3*f**2 + 4*f**2 + 4*f**2) to the form b*f + y*f**3 + o*f**2 + k and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494 (base 11) in base 5?\nAnswer: -30133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1516, -1481, -1398, -1273, -1112?\n\"Answer: -q**3 + 30*q**2 - 48*q - 1497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -0.4948.\nAnswer: -3.4948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127.92 - -128.42. Let w = 0.1 - 0.05. What is the nearest to w in 2\/7, m, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.187 - -0.287. Let a = t + 20. What is a rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74975247.\nAnswer: 3, 661, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmyvsmmggqgsyyvg. Give prob of picking 2 v and 1 y.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 7*l - 444. Let t = l - 7. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*f - 690 - 19*f - 438 + 0*f + 341*f**2 - 338*f**2.\nAnswer: 3*(f - 47)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 767671249?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-4))\/((-12)\/16)*-6. What are the prime factors of ((-3448)\/14)\/(p\/7)?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1431 and -67\/636.\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(117) + sqrt(13) + 0 + 1.\nAnswer: 1 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11*s**2 + 21*s + 105. Let a(y) = -3*y**2 + 5*y + 26. Let p(x) = -9*a(x) + 2*d(x). What is the hundreds digit of p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 52.7, 1087\/5 in descending order.\nAnswer: 1087\/5, 52.7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2167 = 29*q - 2225. Solve 36\/5*x**q + 9\/5*x + 21\/5*x**3 - 6\/5 = 0 for x.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 452*o**4 + 2703*o**3 + 7519445*o**2?\nAnswer: 10848*o + 16218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192954?\nAnswer: 2, 3, 32159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 3*u - 108*u**2 - 1 + 3.\nAnswer: -108*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*f**2 - 281*f**2 + 209*f + 23*f - 232*f.\nAnswer: -435*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -194 + 174 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5 - 8 - 1 - g. Let a be b(-8). Solve -a*f + 23 - 7 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780852 is divided by 910?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - t**2 + t - 1. Let a be c(1). Let o be (-7 + 2)*(a - 1). Suppose i + 5*k = 2*k + 9, 3*k - 9 = 0. Sort 1, i, o in ascending order.\nAnswer: o, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/19 (b) -174 (c) -0.34 (d) 2\/2609\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 726 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yudu when four letters picked without replacement from uuyyd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 2 n when four letters picked without replacement from {s: 4, r: 1, n: 4, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190\/304*12\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070154 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 22*l + 14. Calculate c(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 20*m - 293. Let w = 153 + m. What is the tens digit of (-6260)\/w + (-2)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-44)\/40 + (-2)\/5. Solve -5*y + 30 = 2*l, y + 4*l - 8 = m*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3))**(-2\/123)*a**(5\/6)\/(a*(a*a**(10\/3))\/a) assuming a is positive.\nAnswer: a**(-853\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shbh when four letters picked without replacement from zbphshis.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4972 = 2*h - 5*s - 4982, -48 = -5*h + s for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/35)\/(((-18)\/(-20))\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3052114 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5541 is divided by 150.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 340173852?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 41, 105, 205, 347, 537, 781, 1085?\n\"Answer: p**3 + 9*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**5\/60 - c**4\/24 - c**3\/6 - 5*c**2. Let h(i) = 8*i**2 - i - 8. Let b(a) = h(a) - r(a). Differentiate b(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 + 2*z - 3. Let i(w) = w**2 + 3. Let l be i(0). Let a = 0 - l. Let u be f(a). Solve 2 + u = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 9*h**2 + 8*h - 3. Let d be v(9). Suppose d - 1919 = -5*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from aqq.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**3 - 4 + 16*r**3 + 2*r**3 wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6570925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 284366777 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369796 = 241*f - 335*f. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328 and 14?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-441)\/4 - 18\/(-72). Which is greater: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 3*f**2 - 3*f + 13. Give w(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 314 + -7541437?\nAnswer: -7541123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1) + (-35)\/25 - -2. Which is the fourth biggest value? (a) 5 (b) 0 (c) j (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109388 + 60210. Let f = a + 84937. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2 - 80*q + 32. Calculate the smallest common multiple of 104 and v(16).\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1301*d - 5159. Give x(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16189*r - 156 = -16345*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2466251 - -4?\nAnswer: -2466244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5398 + -5397.99997607. Round b to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26*140\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6863 - 12863. Let v be m\/(-208) + (-4)\/(-26). Calculate the highest common factor of v and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1878, 1865, 1842, 1809?\nAnswer: 1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(152) + 6*sqrt(152)*-1))\/(sqrt(800)*4*3 - sqrt(800)).\nAnswer: sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-15)*((-20)\/(-48))\/(3\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 3. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -155, -192, -229?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189947 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001020 (base 3) in base 10?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/9 (b) 2\/7 (c) -0.3 (d) -7 (e) 1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31c49 - -8?\nAnswer: 31c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 971 = x + 311, x = -3*a + 990. What is the lowest common multiple of 550 and a?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 4*p + y, 0*y - 64 = 2*p - 5*y. Let u = p + 40. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*s**6 + 10*s**5 - 1473*s**2.\nAnswer: -2400*s**3 + 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.22961 - -1.77043. Let c = 4 - w. Round c to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*r + 34, r - 25 + 33 = j. Let l(v) = v + 1. Let o(z) = z**2 + 3*z + 4. Determine r*l(n) + 2*o(n).\nAnswer: 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*g + 5*d, 2*g - 5 = 3*d + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, v: 4, o: 1, p: 4, g: 1}. Give prob of picking 1 g and 1 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {h: 5, w: 4, r: 1, b: 4, e: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2*b + b + (0 + 1 - 5)*(0*b + 0*b - b))*(3*b**4 + 2*b**4 - 2*b**4).\nAnswer: 9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -80588 divided by 40294?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -5 (c) -2 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316085 - -564828. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2176 and 75\/872.\nAnswer: 237184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6934*s = -6954*s. Let h be -2*(0 - 31\/2). Solve 4*m - h = 3*k, -5*k = -s*k - m + 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/10)\/((-54)\/(-360)). Suppose i + 3*z - 57 = 0, -3*z + 13 - 256 = -o*i. Calculate the highest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010 (base 2) to base 5\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20499653144 to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + -12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1038264 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Let s be 125\/8 + (-1)\/(-2). Let j = 2983\/184 - s. Which is the nearest to -0.1? (a) -5 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269509?\nAnswer: 17, 53, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 3*c + 3*c)*(182 - 95 - 306*c - 87).\nAnswer: -612*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 10010101?\nAnswer: 10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1170157.9 + 1169573.9243. Let m = a + 584. What is m rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 343.687 - 343. Let x = -0.187 + j. What is the second biggest value in -1\/2, -6, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -i + 5*r, -94 = -3*i + 6*r - r. Suppose 5*x - i = 37. 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: Let h = 9 - -7. Suppose h = 3*q - q. What is the common denominator of 2\/q + (15 - 0) and -107\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 2. Let b be y(-2). Suppose -8 = -m - b. Suppose 2*l = -0*l + 44. What is the remainder when l is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - -320. Let l = c + -95. Suppose -2*b = -3*v - 101 + 28, -5*b + l = 5*v. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -308 and -3?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15092)\/264 - -58)\/(4\/18). Determine n so that 1\/4*n**2 - o*n + 7\/2 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 56*z**2 - 99*z - 1374. Calculate a(-29).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -496*l - 7. Let v(q) = 499*q + 9. Determine 4*m(y) + 3*v(y).\nAnswer: -487*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q - 8. Determine x(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1818 = 23*c - 14*c. Let y = 1\/90 + -3607\/630. Calculate the common denominator of (6 - (-38)\/(-6))\/(8\/c) and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttxt when four letters picked without replacement from {t: 3, x: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**2 - 42*k = 0?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + 6*((sqrt(605) + 0)*-2)**2.\nAnswer: 14525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 8*a**2 + 7*a - 146. Determine z(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11227767 (base 9) in base 11?\nAnswer: 3093763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**4 + 3*p**3 + 3*p**2 + p + 2. Let j(t) = -4*t**4 + 13*t**3 + 13*t**2 + 5*t + 9. Let q(k) = -2*j(k) + 9*u(k). Factor q(z).\nAnswer: -z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 2:53 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16922 = 34*g - 3968. Sort 3, g, 1, -1, -3.\nAnswer: g, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f = -f. Solve 7*d - 2*d = -4*o - 19, f = -o - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2463456 - -6?\nAnswer: 2463465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -47. Suppose -w + 1 = -2*b, -3*b - b + u = -w. Let j(c) = -123334*c + 6. Let x be j(w). What is x rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**4 + 858*f**3 - 876*f**2 - 4314*f - 2583 = 0.\nAnswer: -287, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 0.9. What is the closest to a in -5, -2\/7, 7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 7:06 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-2 + sqrt(432))**2*3 + -3*sqrt(432)*-2 - (((1 + sqrt(432))*-3 + sqrt(432))**2 - ((sqrt(432) + 1)**2 + -5)).\nAnswer: -48*sqrt(3) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32065 - -32083. Solve -a*c - 660 = -804 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 131 + 1. What is the derivative of -46*j - 119 + 222*j - v - 41 + 112*j wrt j?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3 - 2 - 4*h**3 + 3*h + 3*h**3 - h**2. Let p(y) = -2*y**2 + 2*y + 0 + 0*y**2 + y**2 - 2. Let k be p(2). Calculate c(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*(-1 + sqrt(252) + sqrt(7)) - (sqrt(28)*-2 + 4))**2 + -5)*-4.\nAnswer: -264 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23086069 to the power of 1\/2, to the nearest integer?\nAnswer: 4805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -61 (c) -0.02 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -985670.9?\nAnswer: -985670.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -25, -62, -117, -196, -305, -450, -637?\n\"Answer: -y**3 - 18*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 715, 1646, 2577, 3508, 4439, 5370?\n\"Answer: 931*n - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 20*x + 150.\nAnswer: -2*(x - 15)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 862179 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 w(h) = 3*h**2 + 24*h - 18. Let a be w(-6). Let s be (-450)\/a - 4\/3. Calculate the greatest common factor of s and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-8) - ((-493)\/34 + 19 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b + 4*b - b**2 + 4*b + 2897 - 2879.\nAnswer: -(b - 9)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -766*x**2 + 8430*x - 64. Calculate w(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -8717062?\nAnswer: 3486824.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1386012, -2772024, -4158036, -5544048?\nAnswer: -6930060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 254*p**2 + 86*p**3 - 2190*p - 172*p**3 + 482*p**2 + 88*p**3 - 5633*p wrt p?\nAnswer: 12*p + 1472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34733039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 66 + 0 - 7 + 21 to the form o + w*z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = 3*w, 4*c + 3*w = -2*w + 3. Let n be (-2 - -13) + (-1 - c). Find the first derivative of -4 + m**2 - 5*m**2 + n*m**2 wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5\/4 + 251*d**4\/4 + 8879*d**3\/2 + 126326*d**2 + 1360768*d + 2250752 = 0.\nAnswer: -157, -32, -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*a*g**2*t - 3*a*p - 4*a*t**2 - 11*g**2*p*t**2 + 2*g**2*t**2 + 2*g*p*t**2 - 2 wrt p.\nAnswer: -3*a - 11*g**2*t**2 + 2*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-9))\/(((-89270)\/2844)\/565).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-395*h**3 + 46*h**4 + 395*h**3)*(-7 + 0 + 0)*(-1 + 2 - 2).\nAnswer: 322*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 351715 (base 12) to base 5\nAnswer: 204243204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose -y - 5*t - 2 = 0, 3*t = -y + 5*t + 5. Let c be ((-2)\/5)\/(-1 + y). Put c, -3\/5, p in descending order.\nAnswer: p, c, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/11)*o*o**15\/o*o assuming o is positive.\nAnswer: o**(178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4729 - 3001. Calculate the highest common divisor of p and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8280\/14 + (-75)\/175?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10050, 40299, 90748, 161397, 252246, 363295?\n\"Answer: 10100*s**2 - 51*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(4*b - 3*b + 0*b) + (0*b + 2*b - 4*b)*(4 + 0 - 3) - 2*b + 2*b + b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in 3, -9, 5, 0.3, 2, -11.6?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 11:46 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*d = -10*d - 60, 0 = 5*d + 25. Suppose 334 = k*f - 373. What are the prime factors of f?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(26)*-2*-6 + sqrt(1664) + -2*sqrt(1664))\/(6*sqrt(288)*-1) + 3.\nAnswer: -2*sqrt(13)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -735*x**4 + 324*x**3 + 25*x**2 + 1778877*x - 2 wrt x?\nAnswer: -8820*x**2 + 1944*x + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660 - 111693446?\nAnswer: -111690786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 604\/7 + -86. Let o = -32\/5 - -59\/10. What is the nearest to 1\/4 in u, -1, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941054.\nAnswer: 2, 83, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = 7*o. Let c be 0 + -1 + o + 4. Differentiate 0*b**4 + 2 - b**4 + 0*b**c with respect to b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 - 9*v**2 + 6*v + 3. Let p(g) = -g + 1. Let t(s) = l(s) - 3*p(s). Let y(h) = -h**3 - 4*h**2 + 4*h. Give -4*t(i) + 9*y(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + -1.48. Let d = f - -0.5. Sort 2, 0.4, d in descending order.\nAnswer: 2, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00343996 to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v + 200*v + 41*v.\nAnswer: 215*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 - 181. Let w = 56 + -469\/9. Find the common denominator of (-95)\/228*u\/(-10) and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 458994 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 191751.2 rounded to the nearest one hundred?\nAnswer: 191800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.03, -22\/21, 4, -2\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 21. Let m = h - 9. Suppose -3*a + a - m*n + 6 = 0, -5*a + 27 = -2*n. Calculate the lowest common multiple of 4 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.3 + -17.3. Which is the smallest value? (a) -0.5 (b) d (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 6) to base 7\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833) - (-3 + sqrt(153) - sqrt(153))) + (-4*(sqrt(119) - sqrt(119)*-2))\/((sqrt(70) + (2*sqrt(70) - sqrt(70)) - sqrt(70))\/sqrt(10)).\nAnswer: -5*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 7\/2)\/(44*5\/240). Which is the nearest to u? (a) -0.4 (b) 0.4 (c) 4\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.1 - -148.4. What is i rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41800.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2090 - -47\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4197.9999966425 - 4198. What is s rounded to seven dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d**3 + 1. Let i be r(-1). What is the least common multiple of 4 and (-18)\/i*5\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1109.98 - -1110. What is the second biggest value in -3\/5, -3, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 12aa?\nAnswer: 12a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-72)\/(-270))\/((-1)\/(-3)*-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 26. What is the nearest to a in -1\/2, 0, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 2*p + 13 + 11.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) 0.5 (c) -2647\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 less than 46.07?\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000057638592 rounded to 7 dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4595 (base 11) to base 6.\nAnswer: -43533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31968270 divided by -9705.\nAnswer: -3294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbpppbbbbbbbbbbpp. Give prob of picking 3 p.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 24\/15)*15\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125 - -24) + -133 + -147.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/4 - (-1 + 0). Calculate the greatest common factor of 12 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 2. What is the third smallest value in i, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 6*g - 9*g - 120 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(847)*2)*-4)**2 + 3 + 0 + (2*sqrt(847))**2)*6.\nAnswer: 12672*sqrt(7) + 346458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 6*k - 2. Let x be g(-5). Let z be -5 + 3 + x + 33. Suppose -4*h + 14 = -z. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1851256 = -p + 3*b, 127*p - 130*p - b + 5553758 = 0. Is p 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 {i: 8, j: 4, c: 2, s: 2}. Give prob of picking 1 s and 2 c.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = 0, 3*m - f - 17 = 4*f. Suppose m*a = 2*a - 6. Let p = a + 9. Calculate the smallest common multiple of p and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**7\/105 - 11*g**6\/75 - 3*g**5\/50 + 83*g**4\/30 + 136*g**3\/15 + 12*g**2 - 635*g. Let x(w) = 0. Calculate w.\nAnswer: -10, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 72.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvzjd. Give prob of picking 1 z and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgfnsghxsgsf. Give prob of sequence xn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + v**2 + 2*v**2 - 1380*v**3 - 280*v**3.\nAnswer: -1660*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + 2 = 3*r, 4*r - 2*i - 20 = 0. Calculate the highest common factor of 32 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 + 2)\/(-4 - -3). Let u be (81\/4)\/(2\/8). Calculate the highest common factor of u and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - 2. Let l = -31\/357 + -88\/357. Which is the closest to l? (a) 0.1 (b) z (c) 5 (d) -1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 + 9493274*q - 56959572 = 0. Calculate q.\nAnswer: 6, 4746631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5854759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(209)\/(sqrt(176) - sqrt(11)) + 4 - (-1 + ((sqrt(19) - (sqrt(171)*1)\/sqrt(9)) + sqrt(76) + 1)**2).\nAnswer: -74 - 11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114070163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14784 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + 2) - sqrt(171)) + 0)*-1.\nAnswer: 2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1868 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003742 to 6 dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 30321960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/63 - 30\/(-70))*306\/(-561).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18991 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000367934 to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (1 - -6 - 3) - 1) + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 909955 minus 91.8?\nAnswer: 909863.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q - 15*q - 6*q**3)*(2*q - 2 + 2) - 1 + 1 + 2*q**4.\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53873560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9360*b - 72. Let c(y) = 936*y - 7. What is 21*c(t) - 2*z(t)?\nAnswer: 936*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27272703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(175) + 0)*-1)**2 + 1 - ((sqrt(175) + -1)**2 + -1 + sqrt(175) + 2 + (-1 + sqrt(175))**2)).\nAnswer: -173 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -22 (b) -0.5 (c) -1074 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -82, -147, -248, -391?\n\"Answer: -v**3 - 9*v**2 - v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) -454 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2958, 2949, 2936, 2919, 2898, 2873, 2844?\n\"Answer: -2*f**2 - 3*f + 2963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 2*m + 17. Let d(s) = -s**2 - 3*s + 15. Calculate -5*d(f) + 4*x(f).\nAnswer: f**2 + 7*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 + 191. Let o = v + -89.1. Which is smaller: o or -24.5?\nAnswer: -24.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -385910*v**5 + 100*v - 20.\nAnswer: -7718200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 + -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 12 = -3*a - 30, -3*a - 4*k - 20 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 m when four letters picked without replacement from ddmmmtdddmmmmtdtddd?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 17\/15, 2\/47?\nAnswer: 17\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = 7429 - 759. Which is greater: q or -689\/3?\nAnswer: -689\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n + 9*n - n + 6*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -29708165.9 to the nearest 100000.\nAnswer: -29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 4*y + 4. Calculate z(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -52\/3 (b) 5 (c) 0.9 (d) -0.3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = 272. Let o = h + 128. Let k = -1 - o. What is the remainder when 26 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4\/2 - 98727*w**3 + 3158727*w**2\/2 - 7600278*w + 9672894 = 0 for w.\nAnswer: 2, 7, 65802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -26. Suppose -11*v + 5 - 5 = 0. Is v greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Let w be 74 - (-6)\/(-2 + 5). Suppose w = 3*q + s, -t*s + 22 + 52 = 3*q. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 35*u. Let l(b) be the third derivative of 3*b**5\/10 - 5*b**3\/6 - 7*b**2 + 6*b - 17. What is t(l(z))?\nAnswer: -324*z**4 - 450*z**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 12) to base 6\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + r - 2*r)*(18*r - 2*r + 36*r) - 16*r**2 + 8*r**2 - 6*r**2 - r**2 + 0*r**2 - r**2 in the form c*r**2 + n*r + y and give c.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12 = 3. Suppose -4*c + 0 = -32. Suppose -n*d = -c*d. Is -2\/7 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 v when four letters picked without replacement from vvvxx?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2485121\/2848905 - -2\/60615. Find the common denominator of l and -73\/3.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*s + q, -12 = 2*s + s - 3*q. Let c(d) = -6*d. Does 6 divide c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/29)*d*(d**(-1\/2)\/d*d)\/d)**48 assuming d is positive.\nAnswer: d**(-600\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 3*b**2 - b + 4. Let s be r(-4). Let y = 107 - s. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + sqrt(125)*1 - -2*sqrt(125)*3)**2.\nAnswer: -140*sqrt(5) + 6129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -2 - -297)*-1. Find the common denominator of (-1)\/3 - m\/12 and (-1707)\/90 - 1\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**9\/9072 - t**8\/5040 - t**3\/3 - 1. Let s(z) be the third derivative of r(z). Factor s(p).\nAnswer: -p**4*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q**4 + 0*q)*(q - q + 2*q) + 12*q**5 + 10 - 10 + (-2*q**4 + q**3 - q**3)*(2*q + 3*q - 6*q).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3364*f + 238831. Give q(71).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91*r**3 + 2*r + 247?\nAnswer: -273*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, -363, 0, -0.09, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*l = -3 - 2, l - 1 = -2*n. Let w(d) = -d**3 + 2*d**2 + 5. Let g be w(n). Solve g*f = f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*j + 121 + 199*j**2 - 1098 - 134 + 45*j.\nAnswer: 199*j**2 - 2*j - 1111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 675196807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6750 and 50922?\nAnswer: 6365250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3603328560 + 3603328560 + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16835 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 18*d + 104. Calculate the remainder when o(17) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfr when three letters picked without replacement from {p: 1, r: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*g + 2 = -11, 3*g + 12 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 5*f**2 - 8*f + 2. Let i be q(6). What are the prime factors of ((-242)\/4)\/(5\/i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b - 5. Let c be b\/4 + 0\/(-2). Let i be (5 - (0 + 3))\/(-2). Sort c, 2\/3, i.\nAnswer: i, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - -18 - (4 + -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - -129. What is the remainder when h is divided by 8*(3 - -3*(-3)\/36)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, 37, 43, 53, 67, 85?\n\"Answer: 2*i**2 - 4*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 1 - 4 + 3 + 3. Let w = -5 + 7. What is t(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2810 + 3105. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15450, 30901, 46350, 61797?\nAnswer: 77242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g**3 + 3*g**2 + 15*g + 12. Let l be h(-6). Let w = 3013 - l. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 329 - -135. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 419204635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 take away -2076248953?\nAnswer: 2076248973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -1 + 13 + (-5 - (2 + -2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - q + 464 = 0, 3*z - 4*q = -7*q + 339. Calculate the greatest common factor of z and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17430466301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/20)\/((-669)\/2230).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*((-5)\/15)\/(-1)*34\/102.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-164)\/82)\/((-2)\/(-6)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 13*a - 8*a - 547, 546 = 5*a - b. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1) - (-1505)\/473\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/715*(-90)\/12.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 9*x - 3 = 5*o, -4*x - 4*o = -20. Suppose x*a - t - 8 = 0, 0 = -2*a + 3*a + 3*t - 15. Solve -2*v = -a*g + 9, -v = 3*g + 2*v - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 8*j - 4. Let n = 16 + -33. Let g be n\/(-3) + (-10)\/15. What is the units digit of t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -86*r + 45. Determine p(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43, -95, -175, -295, -467?\n\"Answer: -2*d**3 - 2*d**2 - 32*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from {f: 9, e: 4, g: 3, c: 1, k: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 3*p - 7)*(-p - 2*p + 0*p) + 4*p**2 - 6*p**2 + p**2)*(2*p**2 - 5*p**2 + 10*p**2).\nAnswer: 56*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168 + 580. What is the smallest common multiple of m and 40?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-15))\/((-2)\/15). Suppose -4*x + 8 = -2*r, 19 = 3*x + j*r - 13. Put x, -1, -3 in descending order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -929233114.990074 - -929235096. Let z = 1981 - w. Let j = z - -0.01. What is j rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.937 times -1.00518?\nAnswer: -1.94703366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3168)\/20)\/132 + 254*(-16)\/(-3370)\nAnswer: 2\/337","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1539 + 1141 = -5*i, 4*i = -v + 536. Suppose -g - 197 + v = 0. Does 65 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -135.5 (b) -200 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25549, -25437, -25117, -24487, -23445?\nAnswer: -21889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 825*q + 168501. Calculate k(453).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 198\/(12\/(-4 - -10)). Calculate the remainder when -6*(-11)\/(n\/240) is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-10 - (-21 - -8)))*2\/4. Solve -24*l + 28*l - 4 = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 + 5*b**2. Let j(y) = -7*y**3 - 10*y**2. Let l(g) = -6*j(g) - 10*k(g). Find v, given that l(v) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 + -9)\/99*2. Which is the smallest value? (a) -0.16 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2206261170 and 1.3.\nAnswer: -2206261168.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8031547957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpllllllllllllllplpl. What is prob of picking 2 p?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/(-6))\/(-11)*(-9)\/9?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*j + 16, -4*y = -4*j - 6*y - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32626353 by -14291.\nAnswer: -2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 15 = 45. Suppose -5*r - 8 = 22. Let h = c + r. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1366, 5476, 12326, 21916, 34246, 49316?\n\"Answer: 1370*b**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1175515nm in centimeters?\nAnswer: 0.00000001175515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -235\/11637 - 67457\/43336188. Calculate the common denominator of 5\/171 and w.\nAnswer: 33516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-308 - 499 + 248)*(x - 3*x + 0*x) in the form h*x + m and give h.\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + 0*d - d + (0*d - d + 0*d)*(-3 - 1 + 2) + (-2 - 1 - 1)*(-2 - 2*d + 2).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/sqrt(700))\/(-5*sqrt(11)*1 - sqrt(11)).\nAnswer: -sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(sqrt(200) + -4) + 2 + 5.\nAnswer: -60*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393957 is divided by 572?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -562150348865.\nAnswer: -562150348866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4790, 19090, 42924, 76298, 119218, 171690, 233720, 305314?\n\"Answer: d**3 + 4761*d**2 + 10*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21743*j + 21743*j - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.11 + -0.09. Let l = f - -13.2. Let p = 2018\/9 - 224. What is the nearest to l in p, -0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -455\/4 - -114. Determine g so that 0*g**2 + 1\/4*g**3 - l*g**4 + 0 + 0*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 48375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -0.4, 1, -3\/7, -2\/3.\nAnswer: -2\/3, -3\/7, -0.4, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*x = 11 - 9, -29 = -2*u + 5*x for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**2 + 5 - 5\/2*v**4 + 16\/3*v**3 - 4*v. Factor t(z).\nAnswer: -2*(z - 1)**2*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**6\/120 + d**5\/6 - d**4\/24 - 5*d**3\/3 - d**2. Let j be f(-10). Is j != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 16. Let d be j(-10). Suppose 4*i = 44 + d. Let g = -8 + i. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -14770*j + 14162. Determine u(1).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Determine t(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 61*r**4\/10 + 2381*r**3\/10 + 2643*r**2 + 30078*r\/5 + 972\/5 = 0.\nAnswer: -18, -3, -2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 - -3. Let d = 1 + -1.3. Which is the nearest to r? (a) -5 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003017 rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -935*s + 936*s + 3, -q = -2*s - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-30))\/(18\/(-3)*24\/(-1248))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v. Let l(o) be the second derivative of -o**6\/720 - o**4\/6 + o. Let s(f) be the third derivative of l(f). Give h(s(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -26.7. Let z = l - -0.3. Let n = z + 2.000008. What is n rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auc when three letters picked without replacement from {u: 1, c: 1, k: 1, a: 2, w: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 26, -207?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5 = -5*v + 3*t, 5*v + 10 = 4*t. What is the third derivative of v*l**4 - l**4 + l**2 + l**2 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 10:51 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120200212 + 1324?\nAnswer: -120143333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94401, -188811, -283219, -377625?\n\"Answer: t**2 - 94413*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*h = 2, 2*a - 3 = -3*h + 1. Suppose -3 = -3*n + m + a*m, 2*n - m - 6 = 0. What is the remainder when 18 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -949 = 193*g + 3683 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.3, 1113, 4.495?\nAnswer: 4.495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011781 rounded to four dps?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 2191.\nAnswer: 2\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2874311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.12 - 1.32. What is the closest to b in -3, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 3. Let w(l) = -l**2 - 1. Give -3*w(m) - z(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1390)\/417*(-5)\/((-300)\/(-28)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oveoeeeooeooeo. Give prob of sequence voe.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 64.364814.\nAnswer: 128.729628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/60)\/2)\/((-40)\/25).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3361 divided by 22\nAnswer: 3361\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2 - 104*q - 33. Let p be h(-24). Let f = 478 - p. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/232 and 47\/1461836?\nAnswer: 84786488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -41.74701 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.83 - 9.9066. Let y = 1.6234 - l. Which is the biggest value? (a) -0.3 (b) 3 (c) -0.4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 857327\/45 + -19052. What is the common denominator of b and 1 + 1 - (-86)\/(-12)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 321 = 3*x, 5*h + 3*x - 514 = 236. Calculate the highest common factor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 2*g. Let b(n) be the third derivative of -n**5\/10 + 2*n**2 + 101. What is m(b(f))?\nAnswer: 72*f**4 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**6\/180 + c**5\/60 + c**4\/6 - 2*c**3\/3 + c. Let r(g) be the second derivative of p(g). Determine n, given that r(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*x - 1\/4 + 1\/4*x**2 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:51 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 1. Let s = 0.5 + u. Let w = 0.544 - 0.344. Which is the second biggest value? (a) s (b) 2\/15 (c) 8 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {p: 7, d: 4, a: 1, b: 8}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*u - 245 = 94*u. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5\/7 + k**4\/7 + 110*k**3\/7 = 0.\nAnswer: -10, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697676.\nAnswer: 2, 7, 24917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -54, -83, -102, -111?\n\"Answer: 5*t**2 - 54*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 12*o - 16. Give u(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263260*y - 262966*y + 7056 = 0 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 38 = 5*w + 21, -3*j + 2*w + 65 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*i + 398 + 94 = 0. What is the nearest to -0.1 in 0.3, 2\/5, -53, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 6*f + 69. Let y be v(11). Suppose 5*p = 2 + 43. Suppose -10*o - y = -p*o. Which is smaller: -16 or o?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1492, 5481, 5, 7 in increasing order.\nAnswer: -1492, 5, 7, 5481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -i - 23. What is the third derivative of -2*u**3 + 15*u**4 + 51*u**i - 12*u**4 - 5*u**4 - u**3 wrt u?\nAnswer: -48*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/4 + z**4\/2 + 11*z**3\/4 - 3*z**2 - 9*z.\nAnswer: -z*(z - 3)**2*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 699319\/263 - 2659. Let q(h) = h**3 - 5*h**2 + 13*h - 31. Let r be q(4). Suppose f = 4*f - r*f. Is f less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/4 - -3 - -10. Let b(m) = -5*m**3 - 3*m**2 + 13*m - 6. Let j(p) = 6*p**3 + 3*p**2 - 14*p + 7. Let k(q) = 7*b(q) + 6*j(q). Does 7 divide k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -22*w**2 + 5*w - 4. What is r(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 32613.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 13 - (4 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.596 (b) -0.5 (c) 37 (d) 8\/95 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -377, -376, -379, -386, -397, -412, -431?\n\"Answer: -2*k**2 + 7*k - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/34)\/((-1)\/2). Let b be 2\/(-12)*(-3)\/(-2). What is the nearest to -1 in l, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18084 and 362428?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/13, 521, -1228?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440 (base 7) in base 2?\nAnswer: -1000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**3 - 81*v**2 + 3*v + 44. Determine o(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 4 = -7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k + 3. Calculate i(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 1, i: 3, f: 4}. What is prob of picking 1 u and 3 f?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-300)\/(-225)*(-5)\/((-20)\/(-6)). Is -29\/11 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/7 - 3042386*f**2\/7 + 6084780*f\/7 = 0.\nAnswer: -1521195, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177 and 7958220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56462.\nAnswer: 2, 7, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/5)*f)\/f)**49\/(f**21*(f*f\/(f\/f**(-6\/7))*f)\/f) assuming f is positive.\nAnswer: f**(1661\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**6\/120 - k**5\/15 - k**4\/12 - k**3\/6 + 2*k**2 - 2. Let x(m) be the second derivative of h(m). What is x(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*h**3 - 3\/2*h - 1 + 0*h**2.\nAnswer: (h - 2)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - -3 - (2 + -1). Let b be (4\/3)\/((-2)\/a). Let p be -450 + b\/(-1) + 2. Round p to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 904756?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1268, 2 in increasing order.\nAnswer: 0, 2, 5, 1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1) - (-3)\/(-1). Let f(p) = -p**3 + 6*p**2 + 8*p + 7. Calculate the lowest common multiple of f(7) and (b + 2)\/((-2)\/16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 7*b + 3. Let c be x(-6). Let i(f) = -f**3 - 2*f**2 - 3*f - 2. What is the remainder when i(c) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**(21\/5)\/s*s)))\/s*s)\/s*s**43)\/((s\/(s*s**(-2\/17)))\/s)**17 assuming s is positive.\nAnswer: s**(311\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 424512 and 53064.\nAnswer: 424512","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*j - 14, 1608*b + 11 = -3*j - 1603*b + 3212*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 1. Let j be s(1). Is j + 2 + 326\/2 + -6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 120 = 108, 4*f = 3*b + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6593433?\nAnswer: 3, 7, 11, 17, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 7:04 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/147 - 320\/1911. Let y = 0.05 - -1.95. Let c = 0.2 + -0.2. What is the closest to c in 0.5, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -881 - -141?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -17*x**3 + 13*x**2 - 100*x + 240. Give s(4).\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 21*n = 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-5 + (-17 - -4)). Suppose -1098 = m*n + 24343. Round n to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21\/4 - 53\/8. What is the common denominator of 47\/18 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -4 + 28\/4. What is the second derivative of -4 - 465*r + 463*r + 23*r**o + 4 wrt r?\nAnswer: 460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slsl when four letters picked without replacement from sslls.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/4)\/(2 + 2667429\/(-1333716)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 0.152503?\nAnswer: 0.00915018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/110*(28 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574541239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001153596 rounded to 5 dps?\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 7*c = -4560. Let x = c + -323. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3325.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**5\/20 - w**4\/3 + 2*w**3\/3 + 5*w**2\/2 + 39*w. Determine b(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 + 3*o**2 - 2*o + 8. Let n(t) = -5*t**3 + 5*t**2 - 3*t + 12. Let m(b) = -5*n(b) + 8*w(b). Let y be m(0). Solve -c = y*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjcjjjjcccjc. What is prob of picking 3 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 136 = 2*q - 126 + 303, -185 = 12*v + 25*q - 30*q for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1)*(-9)\/(-6). Let u(h) = -2*h - h + h - 2*h**2 + 3*h**2 - 1. Let y be u(s). Solve b = 2*b + 3*j + 6, 0 = -5*b - j - y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44427000 to the nearest one hundred thousand.\nAnswer: -44400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2332083*-0.3\nAnswer: 0.06996249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 0 + 15. Let r be 17 - (-3)\/3*v. What are the prime factors of 5\/r + 163\/4?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17703 and 495756.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, -75, -1\/4, -82 in decreasing order.\nAnswer: 4, -1\/4, -2, -4, -75, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3100 divided by -155.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.78 + -36.78. Let d = o - -34. What is the third biggest value in d, 0.4, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 19)*214\/1605?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1912356 and 162?\nAnswer: 5737068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2270, 14, 22 in decreasing order.\nAnswer: 22, 14, -2270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/2 - (-9 - -10). Let c be 1139\/d + 4\/24. What is c rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x. Let h(u) = 44*u - 68. What is c(h(z))?\nAnswer: -264*z + 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s - 48. Solve -4*y - 8 = s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and -28.\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5966 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*1\/(-2) - -36 - -2. What is the highest common divisor of z and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/4 - 4)*-99. Calculate the remainder when 157 is divided by (-6)\/(-15) - x\/5.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8495 is divided by 1394?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a day in minutes?\nAnswer: 19080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15+-0.0709\nAnswer: 14.9291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483 - 88663206?\nAnswer: -88664689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*j - 1376*j + 8052 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16491 and 18164?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2752430.\nAnswer: 2, 5, 37, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 13, 20, 31, 46, 65, 88?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8316 = -2*v. Suppose -4164 = -2*z - y, 2*y + v = z + y. Let u = z + 5919. Round u to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1595b + dc?\nAnswer: -1585d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 18 = -2*u + 31, 0 = -4*u - 4*k + 148. Suppose u = 5*r - 58. Calculate the lowest common multiple of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 94\/3. Which is the closest to 1\/2? (a) 2\/5 (b) u (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 330*c**2 - 2533*c - 10. Determine m(-8).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 79564014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10426 = 5*u - 4*u + 2*d, u - 2*d = 10414. Suppose 25*j - u = 21*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12\/5, 0.38, -6\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 + (-49)\/(-2). Let o = w + -17. What is the remainder when 29 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41995\/118 - 36\/59. Let s = c - -358. What is the smallest value in 2\/21, s, 1\/4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 880\/(-264)*3*(-2)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1542, 1544, 1546, 1548?\n\"Answer: 2*j + 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3024 and 108792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 7*j = -7*g - 120, 1276*j = -g + 1272*j + 57 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6263, 2, -1\/2, -0.4, 2\/7, 10 in descending order.\nAnswer: 6263, 10, 2, 2\/7, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1970140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5*(0 - 800\/2). What is the greatest common factor of 64 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -29, -42, -59, -80, -105, -134?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118.8 - -119. Let v = -0.8 - -0.3. What is the third smallest value in v, -0.07, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**(-1\/4))\/m))**(9\/4)*m**(-1\/4)*m*m*m\/(m\/m**(-8))*m)**33 assuming m is positive.\nAnswer: m**(-1881\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 109?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.2825 or 2\/5?\nAnswer: -4.2825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k + 3*l, l - 6 = -4*k - 0*l. Let o(b) = -b**2 + b. Let q be o(k). Solve q = 5*v - 7 + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + -2 + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -354439.09 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = -2*m - 2*m, 0 = -s. Let d(c) = -m - 1 - 6 - 2*c. Is d(-7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/13163 - -39494\/65815. Factor -768\/5 - 96\/5*m - w*m**2.\nAnswer: -3*(m + 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318960422 and 7496?\nAnswer: 1874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448 by 37001.\nAnswer: 448\/37001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11 - 8 - f**2 + 3 + 8 + 36*f. Is q(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 46899135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -315\nAnswer: -94.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -3 (c) 2 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l + 3. Let y(v) = 6*v + 1. What is 4*s(u) - 11*y(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36496 = -4*s + 3*u, -5*s - 3*u + 13010 = -32637. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 1011*u**6\/20 - 1553*u**5\/60 - 2072*u**2 + 2*u. What is the third derivative of l(f) wrt f?\nAnswer: 36396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.114 and 940030.446.\nAnswer: 940030.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 + 90*t**3 - 320*t**2 - 90*t + 315 = 0. Calculate t.\nAnswer: -21, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15054 + -281?\nAnswer: 14993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1651828667045 and -0.19.\nAnswer: 1651828667044.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*z - 997*z + 3784*z = -1759*z + 195800 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = z + 26, 5*z + 9407 - 9417 = -3*i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282681, 282682, 282683, 282684, 282685, 282686?\nAnswer: 282687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7850 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(7\/4)*w*w**(3\/4))\/(w\/w**(-1\/5))**(2\/177))**29)**(-2\/53) assuming w is positive.\nAnswer: w**(-16878\/15635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -814, -942, -384, 866, 2814, 5466, 8828, 12906?\n\"Answer: s**3 + 337*s**2 - 1146*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*m = -75*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4)*(3*a**3 + 0*a**3 + 2*a**2 + 23*a**3) + 0 + 2*a**3 + 0.\nAnswer: -102*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/9)\/g**(-17))\/((g\/g**(3\/11))\/g**(9\/2)) assuming g is positive.\nAnswer: g**(4025\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by -8154\nAnswer: 61\/4077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v - 8*v = -2*v. Let s = -0.12 - 10.88. Which is the smallest value? (a) 5 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2469684.\nAnswer: 2, 3, 7, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 + 77*p**3 - 73*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1493294 (base 11) to base 6\nAnswer: -130410120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmmmwwwwmwwwwmmmmmmm. What is prob of sequence mmmw?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**38*r*r*r)\/(r*r\/((r**(-21)\/r)\/r)*r))\/((r*r**36)\/r**(-14\/11)) assuming r is positive.\nAnswer: r**(-245\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10067*d**3*z**2 - 6*d**3*z - d**2 + 10913*d*z**2 wrt d.\nAnswer: 60402*z**2 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 49900*g**3 - 599280*g**2 - 2397760*g - 3197440.\nAnswer: 5*(g - 9992)*(g + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127314481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-8)*(15 + -15). Which is smaller: -2\/319 or c?\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8241 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148\/(-12))\/(((-12)\/(-10) - 602\/860)\/3)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30634805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23679, 24131, 24583, 25035?\n\"Answer: 452*m + 23227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1645, -3191, -4657, -6049, -7373, -8635, -9841?\n\"Answer: -l**3 + 46*l**2 - 1677*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*c - 17*q + 18*q, -4*c + 2*q = 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622*x + 529*x - 1151*x + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.88648 hours to seconds.\nAnswer: 21191.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/21)\/((-1)\/19)*(-14 + 11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (32\/6)\/((-6)\/27). What is the common denominator of -47\/22 and ((-38)\/(-10))\/(y\/15)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 16) to base 7\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let d = -6 + 8. Let i be (d + 2)\/((-2)\/(-1)). Solve 0 = -5*h + t - 28, h = -3*t + i + c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 0.1402?\nAnswer: 0.1402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*h - 2312 - 484, 5*w - 13999 = -4*h. Is (-10)\/(-5)*w\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 233*b + 1. Let s(w) = -232*w - 1. Give 4*d(t) + 5*s(t).\nAnswer: -228*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 440441 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0549 * -0.1.\nAnswer: -0.00549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29165 divided by -307?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -124134 minus 18?\nAnswer: -124152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*i - 6*i**2 + 183*i - 2*i**2 - 3*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 173131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 202 - 208.1. Let r = 5.9 + q. What is the second biggest value in -0.3, r, -2\/15, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56240 - 56243. Suppose 14 = -z + 3*a + 72, 0 = -2*z + 5*a + 115. Put 1\/4, z, w in descending order.\nAnswer: z, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**3 + 0*w**2 - 3\/160*w**5 - 5*w + 0*w**4 - 1\/112*w**7 + 0 - 1\/40*w**6. Factor n(z).\nAnswer: -3*z**3*(z + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 3:07 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5502280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -173, -378, -663, -1028?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/1 + -2*(-41935)\/10?\nAnswer: 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000234686 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/15 - (-1)\/5. Let f be (0 - (-1 + -6)) + q. Suppose 5*l - 13 = -3*b + 130, -f*b = l - 231. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56862 + 56864. Let t = 1 + -1. Solve t = b*f - 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 o when three letters picked without replacement from {z: 3, q: 6, o: 2, m: 6, w: 3}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + -10. Let o = w + 85\/4. Let r = 39\/2 - 20. Which is the smallest value? (a) r (b) 4\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 + 392*r**3 + 72*r**2 - 14112*r.\nAnswer: -2*r*(r - 196)*(r - 6)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 - 241688*n + 14603272336 = 0.\nAnswer: 120844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*v**2 + 2)*(6 - 21 - 2) as a*v**2 + k*v + p and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-385 - -390) + -1 + 15 - 92) + -3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x**2 + 2*x + 1320. Let y(t) = 5*t**2. Determine s(y(i)).\nAnswer: -250*i**4 + 10*i**2 + 1320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 102 = -13*p. Let r = -30 - p. Let o be (6 + (5 - 10))*(-1 + r). Solve -o*k = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -33*1*(3 + -7). Suppose -20 = -4*v + x. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 8867516404?\nAnswer: -8867516409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4704 divided by 2352\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*v - 26, 13*v - 2*q + 146 - 156 = 17*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9535 = 1071*x - 1066*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(375))\/(sqrt(20)\/(sqrt(16)\/sqrt(4)) + (sqrt(5) - sqrt(10)\/sqrt(2)*6)).\nAnswer: 45*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(6050) - (sqrt(6050) + sqrt(6050) + sqrt(6050)*-1)) + -4))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/3, 15, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 493 = 19*v. Calculate the lowest common multiple of v and 928.\nAnswer: 10208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.6, -1\/6, 21.8, 2, -1\/4 in descending order.\nAnswer: 21.8, 2, 0.6, -1\/6, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.66 + 19.66. Is o smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 21*s**2 - 13*s + 13. Let u be m(1). What is the third derivative of 110*v**6 + u*v**6 - 50*v**6 - 54*v**2 wrt v?\nAnswer: 9720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, o: 2}. What is prob of picking 3 f?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/11180 and 7\/468?\nAnswer: 100620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125706 - -4273907\/34. Find the common denominator of 63\/8*27\/(-42) and i.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(228)*1)\/sqrt(12))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + 744 - 774 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7285427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3662*x - 54927. Let i be q(15). Let 1\/3*w - 2\/3*w**2 + 0 + 1\/3*w**i = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-758*f**2 - 1015 + 759*f**2 - 775)*(-2 + 0*f + 1 - 2*f) to the form j*f**2 + h*f**3 + t*f + y and give y.\nAnswer: 1790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*g + 27*g + 17*g)*(15*g**2 + 13*g**4 - 15*g**2).\nAnswer: 338*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*q + 1468 = 1454, 3*k = -2*q - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/47))**(-29)*(r**37)**25 assuming r is positive.\nAnswer: r**(42054\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23447\/695 + 19\/139. Let d = p + 33. Which is the nearest to -0.08? (a) 0 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-70)\/(-15)))\/((-6)\/(-16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 37*n = -8268. Let q = 1886 + n. Does 27 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**3*s**2 - 3*p**3 - 4406*p**2*s**4 - 169*p**2 + 14 wrt s.\nAnswer: 10*p**3*s - 17624*p**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -3593, -2.\nAnswer: -3593, -2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 81. Suppose -s*l = 2*l - 174. Does 29 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:15 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12001102 (base 3) in base 12?\nAnswer: -216b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -l + 6*l + 4*s, 5*s + 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -5*y**4\/12 + y**3\/6 - 2*y - 3. Let g(t) be the first derivative of x(t). Find the second derivative of g(s) wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230*n**3 + 74.\nAnswer: 690*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**3 - w**2 + w + 2. Let o be a(2). Suppose o*t - 33*t - 241 = 0. Let s = t - -751\/3. Calculate the common denominator of 24\/23 and s.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -37. Let q be 4 - (0 - 0\/(-4)). Put 7, q, -3, l in descending order.\nAnswer: 7, q, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12156276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388 - -141. Does -248 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237160000 rounded to the nearest one million?\nAnswer: -1237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/44155814 and -35\/46.\nAnswer: 44155814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5845490 divided by -113?\nAnswer: 51730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-29)*(b**(-24\/7)*b*b)\/b*(b**7)**8 assuming b is positive.\nAnswer: b**(172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.063 + 38.063. Let m = -37.8 + h. Put m, 3, 3\/7 in increasing order.\nAnswer: m, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -486*d + 19440. Let b be q(40). Factor -2\/3*o**2 + 2\/15*o**3 + b - 4\/5*o.\nAnswer: 2*o*(o - 6)*(o + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8131*d**3 + 89*d - 124*d - 8128*d**3 - 174*d.\nAnswer: 3*d**3 - 209*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Let i(r) = -572440832*r - 2. Calculate i(n(v)).\nAnswer: 1144881664*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77469 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 55*n**4\/2 + 4*n**2 - 13*n + 71. What is the second derivative of g(s) wrt s?\nAnswer: 660*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 1670960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304986 is divided by 337.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppj when four letters picked without replacement from fqjvjffvppjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 5*l - 642. Suppose -l = 2*w - 5*w. Suppose 5*v - 36 = w. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24899728 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-20))\/((-60)\/(-150)). Let s(l) be the first derivative of -7\/2*l**n - 9 - 5*l. What is the first derivative of s(w) wrt w?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022022102000 - -2?\nAnswer: -1022022101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-28)\/(-49)) - ((-225)\/(-4))\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 2257589148.27?\nAnswer: 2257589147.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120930*p**3 + p**2 - 8301 wrt p.\nAnswer: 725580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(3 + 5) + 112. Solve -a = -5*s - 79 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xttmtxxtxxxxxmttxtt. Give prob of sequence mmx.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 37218.\nAnswer: 148872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 2. Let g(w) = 5*w**2 - 4*w + 11. Let a(b) = 16*b**2 - 11*b + 33. Let u(h) = 3*a(h) - 8*g(h). Is u(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -5. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 6501\/4673?\nAnswer: 6501\/4673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = 2093 - 5646. Let q = 670 - b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4432, -18247, -41600, -74491, -116920, -168887?\n\"Answer: -4769*b**2 + 492*b - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1862353573 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {z: 10, e: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2076433 = -4*t - 2076402, 0 = c + 2*t - 29 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 2 + 12*d + 2.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 82. Let k(i) = i**3 + 9*i**2 + 7*i - 2. Let y be k(-8). Calculate the greatest common factor of f and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.07 times 0.3618\nAnswer: 0.748926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 95645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 26 = 5*b - 79, 3*i = -2*b + 19. What is the remainder when 31 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Collect the terms in -4 + 3 - 4*u - 3.\nAnswer: -4*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 + 715\/(-33). Find the common denominator of 1070\/(-176)*(k\/15 + 1) and 117\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/21560 and -129\/1807960.\nAnswer: 12655720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 5*n**2 + 4*n - 3. Let x(k) = k**3 + k**2 - k + 1. Let p(o) = -r(o) - 5*x(o). Is p(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355623 divided by 6239.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -24. Let l = o + 64. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + 11. Let j be y(-3). Put 0, j, -4 in descending order.\nAnswer: 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81\/16? (a) -27 (b) -0.4 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 - (-5 - 1) - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350832365?\nAnswer: 5, 13, 487, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -39, -238721 in decreasing order.\nAnswer: 1, -39, -238721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0287 (b) -3\/241 (c) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/5)*k*k*k**2*k**(-8\/3)*k*k**(2\/29))**(3\/41))**(-1) assuming k is positive.\nAnswer: k**(-1132\/5945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*h + 10. Calculate the lowest common multiple of h and 37.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -33 and -2473\/72 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 153199769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {t: 3, g: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6220?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(-1)\/(32\/(-36)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 7*a + 18. Let q be n(9). Let c be 4\/q*2 - (-2)\/(-9). Suppose 18*m**4 + 10*m**5 + 8\/5*m**2 + 48\/5*m**3 + 0*m + c = 0. What is m?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*q + 28119 = -839*q for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -29*d + 398. Let n be k(14). Let u be (-18 - n) + 8 - -2. Let 0*c + 2\/7*c**4 + u - 8\/7*c**3 + 0*c**2 = 0. What is c?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*f - 24, -5*d - 3*f + 13 = -3. Let g(x) = 2*x - d - 9 - x + 3. What is g(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 11. Let m be u(-9). Factor -2*k**4 - k**5 + k**3 - 1 + 1 - m*k**3.\nAnswer: -k**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:52 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10350)\/(-2898)*(-882)\/35.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -16. Suppose -175 - 441 = -4*v + f, 0 = -b*v - f + 616. Suppose 0*g + v = 2*g + 5*l, 308 = 4*g + 5*l. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 11*j + 4. Let g be (27\/6 - j)*0. Solve w = 4*f - g*f - 18, -20 = -5*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-22)\/(-4)). Which is the nearest to 2? (a) -1 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 38038*t + 304311. Give k(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 - 4*b - 1 - 4 + 9*b - b**3. Let t(l) = -5*l**2 - 3*l - l + l**3 + 1 + 3. Let n(x) = -4*s(x) - 5*t(x). Factor n(m).\nAnswer: -m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 1602387 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -911, -1035, -1169, -1319, -1491, -1691, -1925?\n\"Answer: -i**3 + i**2 - 120*i - 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4245*((-1)\/(-4))\/(((-14)\/2)\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 10*c - 45. Suppose -4*a = a - 2*l - 42, -2*a - 4*l = -36. Suppose a = -6*x + 11*x. Solve -r = -x*v + c, 2*r + v = 4*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:52 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.3. Sort 1, q, -1\/21 in increasing order.\nAnswer: q, -1\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460.8*5.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/10 + 9734*d**2\/5 - 194759*d\/10 + 204519\/5 = 0. Calculate d.\nAnswer: -19478, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*j**5*x**3 - 87*j**3*x**3 - 5*j*x**2 - j*x + 722*x**3 wrt j.\nAnswer: -780*j**3*x**3 - 522*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 20322*u = 20323*u - 5, 5*u = -7*d - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/426468 and -125\/18648?\nAnswer: 94675896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 23*p**2 + 2*p - 33. Let d be (-335)\/(-15) + (-4)\/(-6). What is the tens digit of k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3190 divided by -319\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 7*n**2 + n. Let b(k) = -k**2 - 12*k + 34. Let p be b(-14). Let y be ((-1144)\/(-24))\/((-2)\/p + 0). Let d = y - -136. What is x(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4*c + 42 = l, 0 = 3*l + 3*c - 102. Does l = 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 2*g - 5*g + (5*g - g - 3*g)*(-69 + 20 - 10))*(4 + 2 - 5) as w*g + h and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 6*z - 3. Let y be m(-7). Let h(l) = -4*l + 4. Let k be h(y). What is the units digit of 53\/6 - 2\/k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/21884711 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26434 + 16666. Round u to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 739387638 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l**3 + l**2 - 7*l - 4. List the prime factors of c(5).\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let a be -28*(10\/60 + (-3)\/(-36)). Sort -2, -3, a, o in descending order.\nAnswer: o, -2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/27))**(-2\/25) assuming f is positive.\nAnswer: f**(-4\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose k*o - 7*o = 0, -5*o - 245 = -5*l. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -2 - 2) + 0. Let h(y) = -y**2 + 9*y - 1. Let p be h(8). Calculate the greatest common divisor of j and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15*x - 35*x - 5*x - 30*x. Let r(o) = -2*o**2. What is r(u(j))?\nAnswer: -6050*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/14 - 30\/210) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6467 + 7061. Calculate the remainder when m is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/33*728\/16 + 8.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-31))**(-1\/7) assuming i is positive.\nAnswer: i**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 8. Suppose s = -4, -2*s + 17 = 4*x + 1. Calculate y(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m**3 - 20*m**3 - 15*m**3 + 4*m**3 + 2*m**3 - 4*m**3 + (-1 + m**2 + 1)*(-2*m + 3*m + 0*m) + 4 - 4 - m**3.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189 + -84. Let b = y - 46. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyoyyyyyoyoyy. Give prob of picking 1 o and 2 y.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2265165634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-1\/12)*l)*l**(1\/7))\/(l**1)**(-38) assuming l is positive.\nAnswer: l**(3211\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 491.13\nAnswer: -49.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6221211 (base 7) in base 14?\nAnswer: -1555b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 3*d + 1. Let j(o) = 11*o**2 - 15*o + 5. Let w(y) = 5*b(y) - j(y). Let u(z) = -67*z - 13. What is u(w(f))?\nAnswer: 67*f**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3046.8*399\nAnswer: -1215673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8\/41, -0.1, -2.\nAnswer: -2, -0.1, 8\/41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -44d (base 16) to base 10\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 + 11*r**2 + 8*r - 100. List the prime factors of v(8).\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 20*k**4 - 245*k**3 - 215*k**2 + 5750*k - 9000 = 0.\nAnswer: -5, 2, 4, 45\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 63*v. Let f(p) = -38740*p. Calculate m(f(h)).\nAnswer: -2440620*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 231862439 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 18. What is the greatest common factor of 104 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2998 and 2?\nAnswer: 2998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6054 is divided by 354.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(4926\/(-420) + 12). Is 22 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + 12 = 2*z, -2*z = -2*a. Let r(d) = 2*d - 3. Let s be r(a). Suppose s*v = -4*v + 2730000. What is v rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2\/5, 61.22, 2?\nAnswer: 61.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**3 + 163830*b**2 + 6884388*b = 0.\nAnswer: -42, 0, 81957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -116*k. Let q be d(0). Solve q = 8*w - 0*w - 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-7))\/d**(-3)*(d**(1\/2)\/d)**41)\/((d\/(d\/(d\/((d**(2\/7)\/d)\/d))))**3\/(((d\/(d\/(d*d**(-3))))\/d)\/(d**(-1\/6)*d*d))) assuming d is positive.\nAnswer: d**(-745\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 67*s**2 - 1 - 30*s**2 - 12*s**2.\nAnswer: 25*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (10 + -27) - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*q + 7*g + 156028, -g + 780248 = 5*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*v + 11*j**2 - 256*j*v - 13087*j - 959753*v + 62 wrt j.\nAnswer: 2*j*v + 22*j - 256*v - 13087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-3 - -6)\/((-41)\/(-738)) + 0 + -9.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0374855153 to 6 dps.\nAnswer: -0.037486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -61, -153, -313, -559, -909, -1381, -1993?\nAnswer: -2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**2 + 7*n - 49. Is m(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 5558.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18388 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3474)\/(-4095) + 2\/(-26) and (-1)\/(10\/(-72)) - 0\/(-265)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 19. Let w = -13 + h. Let f(m) = m**2 - 3*m + 7. What is the remainder when f(5) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 + c. Let f(j) = -14*j**2. Calculate m(f(q)).\nAnswer: 1568*q**4 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 378*o + 7. Let n(j) = 32*j - 2. What is 5*n(k) + s(k)?\nAnswer: 538*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011110 (base 2) in base 6?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*j = -6585 + 6852. Find s such that -6\/11*s**2 + 4\/11*s + 2\/11*s**j + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 200*r**2 + 190*r - 1810. Determine i(-199).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -23 + 14. Let s be 3\/30 + z + (-39)\/15. Factor q**3 + s + 3\/2*q**5 + 3*q**2 - 5\/2*q - 7\/2*q**4.\nAnswer: (q - 1)**3*(q + 1)*(3*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735)*-3)\/sqrt(3).\nAnswer: -21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305388?\nAnswer: 2, 7, 23, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/3, 0.3, 0.417, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1203 - 1210443?\nAnswer: -1211646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 7. Let t = 12405.5 - 12406. What is the closest to k in 1\/3, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3096 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26440 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*m + 5*d + 2 = 119*m, 0 = 2*m + d - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-7)*(-137739)\/144298.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1.1, 809, -63 in ascending order.\nAnswer: -63, 1.1, 25, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -128, -126?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i - 20. Is (60672\/i - -1) + (-2)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 994.0918 centuries to decades.\nAnswer: 9940.918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 + h + 13. Let v(y) = 3*y**2 - 7. Let x(p) = -4*i(p) - 7*v(p). Factor x(g).\nAnswer: -(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66820\/21 + (480\/(-315))\/(-16). Suppose 45*g - 1093 - q = 0. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 + 13*u**2 - 5*u. Let a(v) = v**3. Let y(s) = -2*a(s) + b(s). Let l(p) = 6*p**2 - 2*p. Let o = 0 - -2. Let m(c) = o*y(c) - 5*l(c). Factor m(t).\nAnswer: 2*t**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33099\/102)\/59*28\/(-11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 390 + -401. Which is the smallest value? (a) -5 (b) g (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 2. Let f be 20 + -23 - (-1 + (0 - 1)). Let j(s) = -2*s. Let v(u) = f*r(u) - 2*j(u). Let z be v(1). Solve -2*i + i - z = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose 0 = -5*s, -n*r + r = -2*s - 3. Suppose -22*d - d + 2235 = 126*d. Calculate the greatest common divisor of r and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 55*u - 1707*u.\nAnswer: -1762*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*-5*(sqrt(208))**2.\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p. Let i be j(-1). Let z = i + 4. Which is the nearest to z? (a) -3\/8 (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -117. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -23. Suppose -3*u + 5*y = 9, 2*u - h = -y - 0. Let v(c) = 0*c - 2*c + 2 + u*c + c. Determine v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1249656695.9999478 + 1249657053. Let a = x + -357. Round a to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 78 = 3102*l - 3098*l, -4*v + 50 = 2*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -63, -49944?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 4)*((-4*o + 7*o - o)*(-1 - 2 + 0) - 15 + o + 15)*(-4 + 0 + 3) as a*o + g and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvv when three letters picked without replacement from vvq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110000101100 + -1?\nAnswer: 100110000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-77))\/(-25*39\/(-7150)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1 (b) 2\/9 (c) -49.3 (d) 1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2016 = 2*u - 4888. Let v be u\/(-24)*6\/14. Let r = 51\/2 + v. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1 (c) -3 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -51. Let m be ((0\/k)\/1)\/3 + 20. Suppose -4*j = 4*o - m, -2*o - 3*j + 5*j + 10 = 0. Solve 0*z - o*w - 35 = 5*z, 5*w = -25 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3955, 3956, 3957, 3958?\nAnswer: 3959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 7 = 3*k + 16*j, 0 = 4*k - 4*j + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(28)\/sqrt(4)) + sqrt(1700) + 0 + -5 + (-6*sqrt(272))**2.\nAnswer: 11*sqrt(17) + 9787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccicicccciccccc. What is prob of sequence iii?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - -414967479.\nAnswer: 414967506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*(0 - (-32)\/(-12)). Let m be (-9)\/4*(-24)\/9. Let s be 200\/k - (-4)\/m. Solve -u - 4*q + s = 0, 5*u - q - 3*q - 21 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -46, -67, -78, -73, -46?\n\"Answer: a**3 - 4*a**2 - 20*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -1471, -4740, -11053, -21430, -36891, -58456?\nAnswer: -87145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -5 (c) 20\/3 (d) 23.454 (e) -3\/4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -250503250 times 3?\nAnswer: -751509750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -349340124 divided by -8317622?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t - 1. Let h(f) = 17*f**3 + 15*f**2 + 39*f - 12. Let x(w) = 6*w**3 + 5*w**2 + 14*w - 4. Let c(b) = 4*h(b) - 11*x(b). Give -c(m) + 4*s(m).\nAnswer: -2*m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**4\/2 + 2*k**3\/3 - k**2\/2 + k - 524. Give f(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79520347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 18*w**2 - 37*w + 5. What are the prime factors of g(20)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3006054571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**2*s**3 + 518*p**2 - 370*s**3 - 2 wrt s?\nAnswer: 6*p**2*s**2 - 1110*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 + -0.5. Let x be (58\/609)\/(10\/(-585)) + 6. Which is the nearest to s? (a) x (b) -18 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1597*b**3 + 26*b**2 + 8*b - 18. Let f(d) = -399*d**3 + 6*d**2 + 2*d - 4. Determine -9*f(r) + 2*l(r).\nAnswer: 397*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 42 - 4 + 40 to the form w*l + t and give t.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 3, 5, 4, 7, 2, -5 in descending order.\nAnswer: 47, 7, 5, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17183.211 and -24?\nAnswer: 17159.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.7 + 7. Let q = -1.11 + 100.11. Let d = q + -95. Which is the biggest value? (a) d (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (5 + -2) - -3. Let q = v + 0. Let t = 7 - 3. What is the greatest common factor of q and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3980.838 times -0.5?\nAnswer: 1990.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7533, 7536, 7541, 7548, 7557, 7568?\nAnswer: 7581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011703611 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -228 + 917\/4. Let v = -99\/296 - 3\/74. What is the smallest value in v, u, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120404222 (base 5) to base 13\nAnswer: 167b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 + 104. Calculate the highest common factor of 30 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555875416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -15918 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 21*i**2 + 25*i**2 - 10*i**2.\nAnswer: 41*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*r - 896 = -17*r - 17*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 261*p - 1. Let j be c(1). Let d be j\/36 + (-4)\/18. Let l(o) = -4*o**3 + 11*o + 3*o**3 + 6*o**2 - 14*o + d + 0*o**2. What is l(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.21 + 6. Let m = 0.29 - k. Sort 5, 4\/5, m, -2.\nAnswer: -2, m, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*p = 42*p - 42*p + 849*p + 60795 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 16*v**2 - 59*v + 42. What is i(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360, 759, 1182, 1629?\nAnswer: 2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188084620*c**4 - 4269*c**2 + 17483 wrt c?\nAnswer: 4514030880*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 5) to base 11\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**7\/140 - 3*d**5\/40 + d**4\/8 - 5*d**2 + 21*d. Let s(u) be the first derivative of i(u). Factor s(c).\nAnswer: 3*c*(c - 1)**2*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.4. Let x be 1 - (2 - -1 - -13). Let w(s) = -s**2 - 15*s - 2. Let t be w(x). Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 - 25) - 41?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**3 - 2*t - 6*t**3 - 5*t + t in the form g*t + v*t**3 + c + x*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11 + 427*n**5 - 3*n**4 + 2945*n**2 - 151*n - 2946*n**2 - 1843*n**5 + 4*n**4 wrt n.\nAnswer: -84960*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 13*x**2 + 14*x + 9. Give z(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 3.9. Let u = -1\/6033 - -56327\/114627. Let d = u - 3\/19. Which is the nearest to d? (a) w (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 = -8. List the prime factors of 3\/m + 220\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than 425\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (21 - 22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**3 - b**2 - b. What is the remainder when s(-1) is divided by (-168 + 170)\/(2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 16 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119232.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/4*11*1 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -448*w + 5012. Calculate x(11).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = -29*y + 48. Let o(l) = -4*l + 53. Let r be o(12). Let z(v) = 5*v**2 + 5. Let j(i) = -4*i**2 - 6. Determine r*j(s) + y*z(s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*(7047\/36)\/29*40\/15\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-5 - -4) + 2). What is the fourth biggest value in 0.4, -2\/11, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6907*p**2 + 7270*p**2 - 16.\nAnswer: 363*p**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -93.57 times -0.05\nAnswer: 4.6785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 3*q - 6. Let f(v) be the third derivative of v**5\/60 + v**4\/8 + 5*v**3\/6 + 25*v**2. Let m(r) = 4*f(r) + 3*u(r). Determine m(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = 5*n - 623. Calculate the remainder when n is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -370, -366, -360?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bererbeekbrek. Give prob of sequence rbe.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(448))**2 + 4.\nAnswer: 112*sqrt(7) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 103666?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*s + 28*s - 5170000. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -47.24. Let i = -2.2 - f. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -5 (b) 3 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 z when three letters picked without replacement from qqqzqqqzzzqqqzqqzzq?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177 and 35787.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 3*j + j)*(0*j + 0*j - 2*j) + 9 - 5 - 2 + 15*j**2 - 2*j**2 - 4*j**2 - 3*j**2 in the form w + q*j + m*j**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2223.1437 months?\nAnswer: 1.85261975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 2*l - 20. Let o be 44\/l + 12\/(-30). Suppose 0 = -v - o*v - 25. Put 5, v, 4 in ascending order.\nAnswer: v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(4 - 4 + 2*j) + 0 - 2*j + 0 + 6*j - j - 2*j + 69*j - 278*j - 234*j.\nAnswer: -438*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 28*q + 456 = 0. Calculate the remainder when 32 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/24*-2*1. Let t = -0.77 + 0.56. Let w = -0.11 - t. What is the closest to -1\/4 in s, w, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 5.74 (c) 1\/4 (d) 0.1 (e) 8967 (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6107, -23126, -51491, -91202, -142259?\n\"Answer: -5673*l**2 - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1917948 kilometers to meters.\nAnswer: 191.7948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((39\/104)\/(126\/(-105)))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25618 or 0?\nAnswer: -25618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25818, 51627, 77434, 103239, 129042, 154843?\n\"Answer: -l**2 + 25812*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -441380*l**5*s + 618*l**5 - 7*l**2*s - 2*l**2 + 8*l*s + 2*l - 2*s + 1313 wrt l?\nAnswer: -26482800*l**2*s + 37080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 1185264.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.016, 0, -7, 21, 0.0604.\nAnswer: -7, 0, 0.016, 0.0604, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 0.29933.\nAnswer: 2.9933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 33*v - 1383 + 1691 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 153 - k + 2*k**2 - 152 - 3*k**2 + 7*k**3. Let o be u(1). Suppose x + o = 7*x. Solve x = -t + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 28*m**2 - 61*m + 35. Let u be w(30). Suppose u*c + 6 = -4*b - 0, 0 = -b - 4. Solve 5*x - 3*x + 8 = -c*l, 0 = -2*x - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 277527 + -5?\nAnswer: 277522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 548116380 and 1785.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 2*k + 3*k + (-3*k - k + 5*k)*(-2 - 1 + 1) + 5*k - 4*k + 0*k + 1 - 1 - 2*k + 7*k + k - 33*k + k + k - 5*k.\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4144 and 31948?\nAnswer: 4728304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1872, 1876, 1884, 1896, 1912, 1932, 1956?\n\"Answer: 2*w**2 - 2*w + 1872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/18)\/((-42)\/600).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*b - 16. Let p = 30 - 13. What is the remainder when p is divided by ((-3)\/(-5))\/(b\/(-45))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17752 + -10324. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937134264 to the nearest integer?\nAnswer: 30613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2 = l, 2*a - 2*l = 8 - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*s = -61*s - 2151 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**2 - 3*z**3 - z + z - 7*z + 1808 - 1806 in the form o*z**3 + j*z**2 + m + i*z and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3\/3 + 2*d. Let h(f) = -f**2. Let p(o) = -6*o**2. Let t(m) = -40*h(m) + 5*p(m). Calculate t(c(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (1 + 1 + -2546266). Let j = y + -3581022. Let b = -604760 - j. What is b rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29, 61, 95, 131, 169?\n\"Answer: y**2 + 29*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/266463 and -29\/148035.\nAnswer: 1332315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = l + o + 6, 3*o = 3*l + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n + 3*a - 32, -a = -n. What is the second derivative of 4*g + 7*g**4 - 11*g + 2*g**n - 2*g wrt g?\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -515625 or -5?\nAnswer: -515625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 4*y + 23. Let h(b) = -489 + 2*b**2 - 572 + 1038 - 3*b. Calculate -2*c(d) - 3*h(d).\nAnswer: -2*d**2 + d + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10193, -40784, -91769, -163148, -254921?\n\"Answer: -10197*o**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 33*n**2 - 431*n + 155. What is h(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/195 and 29\/455?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 - 48*u + 162 = 0. What is u?\nAnswer: -27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -33, 3, 269.\nAnswer: -33, -4, 2, 3, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 50. Let m = f + 54. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -388 + 387.87. Which is the second smallest value? (a) -3\/5 (b) o (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 27 = -2*p - 3, 5*m + 46 = 4*p. Let r = p + -9. Suppose 0*x + r*x = 105. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -312*h**5\/5 + 28*h**2 + h + 336. Find the second derivative of q(x) wrt x.\nAnswer: -3744*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -3 - 2)\/(-136). Let z = -277\/340 + w. Let h(k) = k + 2. Let y be h(-3). Is y less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 17*q**2 + q + 20. Let r be j(-17). Suppose -4*g + 5*g = -4*m + 220, -r*m = 5*g - 165. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/sqrt(81) - (sqrt(3) - (sqrt(132)\/sqrt(11))**2).\nAnswer: -2*sqrt(3)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -93124\nAnswer: 1\/93124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from cxjjyjxaxffxjc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 27. Solve -5*u + 3*s + 2*s - 15 = 0, 8 = -p*u + 3*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 1592714377?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1030881412 to the nearest integer?\nAnswer: 32107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 = 5*j + 13, -4*o - j + 12 = 0. Suppose 0 = -2*i + 2*v + 8, -4*v + o*v = 4*i - 16. Solve -d = 3*d - i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 315 - 5?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/(-18)*(-118)\/3. Let u = b - -6. Suppose -u = -4*m + 19. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 14. Let k be n(28). Calculate the lowest common multiple of (-1542)\/k - (-12)\/42 and 9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -28. Let l be b\/(14\/4 + -3) - 2. Suppose 0 = -l*t - 5*m + 130, -3*t - 5*m + 128 = -72. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/297521496 and 73\/8.\nAnswer: 297521496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**21\/x))**(-15) assuming x is positive.\nAnswer: x**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 841\/1717 - 9\/17. Let r = -246\/1111 - c. Let o = -2.9 + -1.1. Sort 1, r, o.\nAnswer: o, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 378.2911 hours?\nAnswer: 1361847.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13*g**2 - g + 4. Let z(h) = h**2 + h - 1. Give r(b) + 5*z(b).\nAnswer: -8*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6525395069 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - 69 - ((-5 - -4) + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**6\/24 + y**5\/20 - y**4\/6 + y**3\/2 - 6*y**2 - 4*y. Let r(q) = -14*q**3 + 8*q**2 - 11*q + 9. What is 8*o(n) - 3*r(n)?\nAnswer: 2*n**3 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -3, 3\/4, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13803841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32670 and 147780.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Factor -3*q**2 - 1 + 8*q**2 - q**y - q**4 - 2*q**2.\nAnswer: -(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169+32\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9940\/1041 or -10?\nAnswer: -9940\/1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -5\/779425913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7715572?\nAnswer: 2, 659, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 10*v - 11. Let k be b(-9). Let h be k - 29 - (3 - 2). Calculate the common denominator of (-2)\/h*225\/(-9) and 73\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6120124 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11153 - 1155?\nAnswer: -12341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37650, -150748, -339294, -603288, -942730, -1357620, -1847958?\n\"Answer: -37724*r**2 + 74*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -2*t**4\/3 - t**3 + 11*t**2. Let i be w(-3). Let a(k) = -42 - k + i. Let h(g) = -46*g. Calculate a(h(f)).\nAnswer: 46*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -34.2. Let c = 0.2 - a. What is c rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 3, v: 5, t: 1, o: 1, i: 1}. Give prob of sequence io.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3786279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 27\/10)\/(6\/15). Let w(r) be the first derivative of -q*r**4 + 5 + 1\/3*r**3 + 0*r**2 + 0*r. Find the third derivative of w(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 3 + 13 + 4*n**3 - 7 in the form z*n**3 + k*n + f*n**2 + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*p + 18 = 122*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*u**5 - 14*u**4 + 48170*u**3 + 1214*u**2 + 267*u - 2 wrt u?\nAnswer: -420*u**2 - 336*u + 289020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/(-72))\/(1760\/264)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(5)*3 - (2 + sqrt(55)\/sqrt(5))**2.\nAnswer: -15 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21590 + 21585. Which is the nearest to -0.1? (a) 0 (b) 321 (c) -3\/8 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*q - 1 = -0*q, 3*s - 17 = 4*q. What is the smallest value in s, -0.7, -0.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 184, 143, -60, -485, -1192, -2241?\nAnswer: -3692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*a - 21 = 25, -5*v - 3*a = 38. What is the remainder when 4\/v + 3668\/20 is divided by (376\/(-12))\/((-4)\/6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103535\/966 + -643\/6. Let g = 304\/1449 + a. Put 0, 0.5, g in descending order.\nAnswer: 0.5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*u**2 + 497*u**2 - 3*u**2)*(9*u**2 + 30*u - 30*u) as t + b*u + c*u**3 + z*u**2 + g*u**4 and give g.\nAnswer: 4068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (4\/6)\/((-2)\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let h(v) = 195*v + 192*v + 192*v - 577*v. What is c(h(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 59 + 28 + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22984 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**3 + 3*z - 10. Let l(g) = 12*g**2 - 13. Let j(d) = -9*f(d) - 2*l(d). Calculate j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275447488?\nAnswer: 2, 4303867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1264 and 31936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(-11)\/w)*w)\/(w*w*w*w**9*w))**(-12) assuming w is positive.\nAnswer: w**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*q + 46, -4*a + 59 = 3*q + a. Suppose -q + 9 = -x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by -15\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*m + 18*m - 16*m + 23*m.\nAnswer: 67*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48394 + 48397 - (125 + (-2 - -2)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 3*n. Let k(p) = -3*p**2 - 5*p. Let i(s) = -3*k(s) - 5*y(s). Let u = 12 - 13. Let a be i(u). Which is smaller: a or 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 5*h**2 - 4*h - 2. Let m = -18 - -13. List the prime factors of o(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = 0, 0 = 3*b + b + 3*p - 37. Suppose 3*n = 5*n - 24. What is the lowest common multiple of n and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639856299 minus 0.21?\nAnswer: 639856298.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3*-4362.224\nAnswer: 13086.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 1\/4, 2\/11, -2, 1.63?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/12 + i**3\/2 - 85*i**2\/2 - 14*i - 2. Let r be m(8). Let q = -2.95 - 0.05. What is the biggest value in r, q, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023450698 rounded to six decimal places?\nAnswer: -0.023451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 33*k**3 + 92*k**2 - 60*k.\nAnswer: k*(k - 30)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*l**4 - 8\/15*l**3 - 2\/15 - 8\/15*l - 4\/5*l**2.\nAnswer: -2*(l + 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640631401 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*y, 79*l + 5*y = 75*l + 54. What is the closest to 115 in -0.04, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = f + 14, -b - f = -3. Let k(y) be the second derivative of 0*y**b - 10*y + 0 + 1\/60*y**4 + 1\/15*y**3 - 1\/100*y**5. Factor k(a).\nAnswer: -a*(a - 2)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, k: 2, y: 2}. Give prob of picking 1 h and 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 divided by -112?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126599565*z + 75779073 wrt z?\nAnswer: 126599565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4 - 144*a**3 + 2982*a**2 - 13424*a - 39960 = 0.\nAnswer: -2, 10, 27, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 22*r + 21*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -4*b**2 + 36001\/24*b**4 + 0 - 5\/6*b**3 + 0*b. Let w be o(5). What is w rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -1\/2, -3\/2, -0.60111236?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n*v**4 + 19007*n*v**3 + 78366*n + 2 wrt v.\nAnswer: 4*n*v**3 + 57021*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(45\/(-36)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (10 + 1 + -21 + 2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30523796 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2537*q**2 - 18*q - 13. What is the remainder when i(-3) is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1713 + 570 + 573 - 286*f + 572 to q*f + r and give q.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.85 - -0.2. Let s = d + -0.05. Let n = -0.075 - 0.025. Which is the closest to n? (a) s (b) -3 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.3 + 28.3. Let u = 0.778 - -0.132. Let r = u + -0.91. Put 1, -0.5, l, r in ascending order.\nAnswer: -0.5, r, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212 by -6.\nAnswer: -106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.08527 * 0.3.\nAnswer: 6.925581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 102*q + 89\/6*q**3 + 0 + 29\/4*q**4 + 0*q**2. What is the second derivative of u(o) wrt o?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s, -5*m + 3 + 4 = 3*s. Let j = 8 + -5. Suppose -2*x + m*c + 30 = 0, j*c + c = -4. What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {c: 1, k: 2, g: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u + u - 3*u)*(19 + 13 - 54) - 3*u + 2*u + 0*u.\nAnswer: -133*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-820 + (-2 - 2))\/(-2).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284706193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 7. Suppose 0 + 12 = 4*x. Suppose -18 = -x*d - 3. Calculate f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2. Let j(i) be the third derivative of -i**4\/24 + 3*i**2. Let t(u) = -2*u**2 - 3*u. Let a(x) = -3*j(x) + t(x). What is a(r(l))?\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 296479\/22 or 13475?\nAnswer: 296479\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2\/(-9) - 248\/18)*-2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 3. Let i(c) = -2*c + 3. Let b(j) = -h(j) - 2*i(j). Let o(n) = 3*n - 2. Calculate 6*b(f) - 10*o(f).\nAnswer: 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 834214251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(32))\/sqrt(8) + -3 + 1 + (1 + sqrt(3) - sqrt(3)).\nAnswer: -1 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -7, 16, 73, 176, 337?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341095126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -887 + 889. Solve -4*m + 19 - 7 = 3*q, y*q = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = 3*z, 0 = 5*z + 9 + 1. Let h(s) be the third derivative of s**5\/15 + s**4\/4 - 5*s**3\/6 - 3*s**2. Is h(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 400 = -w. Calculate the remainder when 149 is divided by w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iizi when four letters picked without replacement from {z: 3, i: 12}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -5, 0.6, -202509?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 60038547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-12) - (14\/8 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21762 = 24*y - 15*y. Suppose -235 = 4*v + 5*k - y, v = -5*k + 542. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccssccsccscccscccc. Give prob of sequence cssc.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2974*-2.3\nAnswer: -6840.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2 + sqrt(1300)*2 - sqrt(1300))**2 - (((-2*sqrt(1300) + sqrt(1300))*-6)**2 - 2*((sqrt(1300) - (sqrt(1300) + -1)) + sqrt(1300) + sqrt(1300))))*-5.\nAnswer: -400*sqrt(13) + 227470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3467*z**2 + 2*z + 3350*z**2 - 6627*z**2 in the form r + b*z + h*z**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-26)\/(-10) + -3). Suppose -4*h + d = m - 2*h, m + 4*h = 11. Put 1, m, -3 in decreasing order.\nAnswer: 1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 940?\nAnswer: 41360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2015 (base 6) to base 15.\nAnswer: -1e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**4\/12 - 2*g**3\/3 - 2*g**2 + 4*g. Is 14 a factor of n(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3640907?\nAnswer: 17, 61, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5230000 rounded to the nearest one hundred thousand?\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {c: 3, z: 2, x: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(6*q - 9*q + 4*q + 1)*(-1 - 1 + 4).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1990.\nAnswer: -1\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*c + 11*c**2 + c**2 + 3*c**2 + 328*c - 17*c**2 to the form j + q*c**2 + i*c and give i.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*d*h**3 - d*h**2 - 11*h**3 - h**2 wrt d.\nAnswer: 15*h**3 - h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1024.7 + -1025. What is the nearest to 1 in -54\/11, -3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.27 + -0.03. Let k = -17.1 + 17. Let p = 0.1 + k. Put -1, p, m in decreasing order.\nAnswer: p, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, 5, -34\/3, -0.06.\nAnswer: -199, -34\/3, -0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -752\/21, -2, -8.\nAnswer: -752\/21, -8, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/4)*m**(-12)*m**30*m*m*m\/(m\/(m*m**42)))**(4\/9) assuming m is positive.\nAnswer: m**(247\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -814*i**4 + 814*i**4 - 1150*i**5 + (-28 + 2*i**3 + 28)*(-6*i + 6*i + 2*i**2).\nAnswer: -1146*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6294, -6451, -6612, -6777, -6946?\n\"Answer: -2*c**2 - 151*c - 6141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = h + 33, n - h - 2 = -2*h. Suppose -5*o - 3 = n. Let g(w) = -2*w - 2. Let q(t) = -t - 2. Calculate o*g(c) + 3*q(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 less than 3023130\/349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 625 - 3127 = 0. List the prime factors of c.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 578*s - 9551. Determine o(17).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*h**2 + 1400 - 99*h**2 - 64*h**2 - 1400.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (7 - 3) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7101316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251572769.\nAnswer: 17, 41, 61, 52957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 8*f**3\/3 - 174. Let k(s) = -133*s**2 + 244*s**2 - 128*s**2. Give r(k(g)).\nAnswer: 2312*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 - -3. Let j = 64659 + -64657. Which is the second smallest value? (a) -1.64 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310102905?\nAnswer: 3, 5, 7, 23, 73, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5334025 and 1280166.\nAnswer: 32004150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7) + ((sqrt(63)\/sqrt(3))\/sqrt(3))**2 + 1)*-4.\nAnswer: -32 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {i: 2, u: 1, f: 2, m: 1, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*b**2 + 2*b**3 - 81 + 359*b**2 - b**3 + 365*b**2.\nAnswer: b**3 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 4, s: 1, m: 1, u: 1}. What is prob of sequence swm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/986?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 329700 and 36267?\nAnswer: 3626700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 312*j + 3718.\nAnswer: 2*(j + 13)*(j + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g - 1. Suppose 4 = b + 6. Let w be h(b). Sort 4, 2, w.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/6 - 497*g**3\/6 - 19811*g**2\/2 + 587213*g\/6 + 704099\/3 = 0?\nAnswer: -253, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -16*k + 9. Let d(g) = 3*g**2. Calculate p(d(v)).\nAnswer: -48*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:23 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Suppose 0*t - 5*t + 3*l = -10, 2*t - 5*l - 4 = 0. What is the least common multiple of t and -3 + 1 - -8*o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 13*s**2 + 16*s - 3. Let c be y(-14). Let i = c - -74. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -34004302?\nAnswer: -34004301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16929?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04949 less than -2.042227?\nAnswer: -2.091717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 7*q**2 + q**2 + 2 - 7*q**2. Let v be y(2). Solve 0 = -2*a + 4 + v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001689550 a multiple of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 + h**2. Let g be m(1). Let o be g*-6*4\/32. Let q(i) = -2*i + 3*i**3 - i**2 + i - 2*i**o - 4. What is q(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 57. Let w = -2 - -2. Suppose w*k = 4*k. Is o(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(125) + 0 - (-1*sqrt(45))**2) - (-4 + ((sqrt(5) + (sqrt(5) - sqrt(20)*-2))**2 - (sqrt(125) + 1))).\nAnswer: -40 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*v + 4 - 29 + 6 + 7 + 9 as d*v + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/6*((-3)\/(-24))\/1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5 - 220*u**4 - 4008*u**3 - 24580*u**2 - 48950*u = 0.\nAnswer: -89, -11, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.7. Suppose -3*v + 7 = 2*p, -p + v + 0*v - 4 = 0. Which is the smallest value? (a) p (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 - 46 + 46.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 152 = 5*t, -t - 199 = 126*n - 356 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16936 (base 12) to base 7.\nAnswer: -163404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 5*m + 69. Let q be k(6). Suppose -3*j - q*j + 45258 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s**3 - 2*s - 1064 + 2475 - 1411.\nAnswer: 54*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1907, -1, 111, -28 in descending order.\nAnswer: 1907, 111, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(13) + -5*2*sqrt(13).\nAnswer: -9*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/240 and 13\/6255174.\nAnswer: 250206960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*((-49)\/(-7))\/(-1 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 + 633 = k + l, 4 = -2*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 71 = -4*x + 83, -4*j + 3*x = -19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.141 centuries in millennia?\nAnswer: 50.2141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4700*t*u**3 - 36*u**3 + 2*u - 4 wrt t?\nAnswer: 4700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1249*b. Let a(c) = -2*c**2. Calculate a(n(m)).\nAnswer: -3120002*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 3. Let a(f) = f**3 + 10*f**2 - 11*f. Let h be a(-11). Suppose h = 3*v - 3*z + 6, 0 = -v + z - 6*z - 8. Calculate m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6 - 6 - 5 + 9 + r. Let v be k(-13). Let h = v - -20. Sort 1, -4, h in increasing order.\nAnswer: -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b + 16. Let s(a) = -2*a + 16. Let g(z) = 3*j(z) - 4*s(z). What is the first derivative of g(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 351\/(-315)*(-3 - -8)*(-39)\/(-31)?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 30*j + 35 + 5 = 0. Solve -j = -3*g + 2*m - 23, 3*m + 19 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 10460*i\/3 - 6972.\nAnswer: -(i + 2)*(i + 10458)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*c**4 + 63*c**3 - c**2 + 155746*c.\nAnswer: 3168*c**2 + 378*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 39 = m - 3433, -3*k - 2*m + 2042 = 0. Let f be ((-3)\/2)\/(3 + k\/(-224)). What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = -o, 0 = 4*h - 0*h + o - 20. Suppose 0 = -0*r - h*r + 1052. Round r to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.2312467?\nAnswer: -1.1562335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -16. Let s be (-10)\/65 - (-784)\/26. Suppose -q = -l + 2, -3*l - 3*q = 2*q - s. Calculate the remainder when y is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4\/6*(5 + 1) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-1)\/(-2))*12. Let f(o) be the first derivative of 5*o - 1\/3*o**3 + 7 - 3*o**2. Give f(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.8 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17623*w**3 - 2*w**2 - 162*w - 2.\nAnswer: -105738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 153*h + 6. Let k be b(-48). Solve 0 = 2*q - k + 444 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Solve -s*i - 10 = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4 - 27*c**3 - 735*c wrt c.\nAnswer: 12*c**2 - 162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17921 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 - -176.1. Let m = -87.0998538 + y. What is m rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 642048 and 9728.\nAnswer: 642048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -36, -63, -100, -147, -204, -271?\n\"Answer: -5*s**2 - 2*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -96, -101, -118, -153, -212, -301, -426, -593?\n\"Answer: -b**3 + 2*b - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 6 - (9 + -8 - 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.11 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -20, 7, 0.1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 3. Let r be l(-3). Let g = 17 - r. Find the second derivative of -5 - g*c + 5 - 10*c**3 wrt c.\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2. Let o be ((-6)\/8)\/(13\/104). Let g(u) = 2*u + 6. Let x(c) = 1. Let d(f) = o*x(f) + g(f). Determine t(d(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**3*u)))**45\/(u**(-1\/4))**(-48))**(1\/6) assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.3, 3\/7, -2\/7, -40 in decreasing order.\nAnswer: 3\/7, -2\/7, -0.3, -17, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6263 to 2 decimal places.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 4*u + 2. Let t be a(-2). Let j(w) = w**3 - 20*w**2 - 43*w - 8. Let q be j(22). Solve 4*n - 1 = 5*m + 12, -4*m + t*n = q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:45 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 381.\nAnswer: -4\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -17. Solve -p*f + 6*f = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:21 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 4. Let t(h) = -372*h**2 - h. What is t(a(d))?\nAnswer: -1488*d**2 - 5954*d - 5956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - -5. What is the smallest common multiple of i and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:13 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, r: 2, x: 4, f: 1}. Give prob of picking 1 f and 2 r.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 36*s**2 - 9*s + 312. What is g(36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, and 1 h when three letters picked without replacement from zeezhezheehkz?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -186*r - 168. Calculate m(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27.80094 * 7\nAnswer: 194.60658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 2*g - 3*g)*(-2*g**2 + 0*g**2 + 3*g**2) - 15*g**3 + 9*g**3 - 11*g**3 in the form w*g + l*g**2 + k*g**3 + x and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v. Let c(s) = 161881*s**2. What is g(c(m))?\nAnswer: -485643*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/2 - (5 + -7). Calculate the greatest common factor of 567 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 37. Let y be c(-11). Suppose 0 = -0*v - v + y*v. Suppose 321 = 4*f + 3*g, v = -2*f + 2*g + g + 183. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(36\/(-20)) + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 142*u**2 + u + 6. Let o(l) = -1. Let q(a) = 6*o(a) + y(a). Let t be q(1). Suppose t*g - 20 = 141*g. Solve 2*b - 4*b - g = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0065436 rounded to 4 dps?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208508.\nAnswer: 2, 52127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x**2 + 9*x - 4. Let n be (-8)\/(-4) + -9 + 3. Let f be t(n). Calculate the highest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 22.1. Let g = t + -21.62. Round g to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 554\/196 + (-6 + 4 - 1) and -95\/16.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 8:54 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.330807ml?\nAnswer: 0.000330807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g - 41*g - 12 = 0. Let m = -3 - -5. Suppose -d - 4 = 2*i, -d = -m*d + i + 11. Solve -g*j - 14 - d = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 9*t**2 - 8*t + 1. Let u be y(8). Find the first derivative of -2*q**3 + 1 + u + q**3 wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -813, -822, -843, -882, -945, -1038?\n\"Answer: -n**3 - 2*n - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 5. Let l(n) = -11*n + 12. Let z(k) = 8*b(k) + 3*l(k). Let m(o) = -3*o - 11. Calculate -6*m(d) + 17*z(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {p: 1, q: 2, k: 3, r: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100688?\nAnswer: 2, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 54. Let j be i(14). What is the greatest common factor of 40 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1212, -4734, -10556, -18666, -29052?\n\"Answer: 2*i**3 - 1162*i**2 - 50*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010110 + 10?\nAnswer: -100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 41. Solve -k = 2*d - 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 23*o**3 - 20*o**2 + 3159*o - 3159. Calculate v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15*f**3 + 9*f**2 + 23*f - 11. Let p(r) = 15*r**3 - 7*r**2 - 24*r + 10. Let j(c) = -6*g(c) - 5*p(c). Factor j(z).\nAnswer: (z + 1)*(3*z - 2)*(5*z - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647468.\nAnswer: 2, 3, 45763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*3*-5 + sqrt(70))\/sqrt(10)*-1.\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 9 - 2 - 2*j**2 in the form m*j**2 + n + o*j and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:38 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 20 = 0. Suppose 3*x = -3*z + 33, -4*x - 3*z + 44 = -0*z. Let t = 13 - x. Sort t, h, -4, 0 in ascending order.\nAnswer: h, -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18054, 36110, 54166, 72222, 90278?\n\"Answer: 18056*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = 111 - 13 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/700*(0 + 2\/(-3)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (sqrt(343) + -1)) + 1 - (sqrt(343) - -2*sqrt(343))*-5)**2 - (1 + 3*(sqrt(343) + 3)).\nAnswer: 399*sqrt(7) + 77169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 (base 7) in base 15?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 n when three letters picked without replacement from znznzznnzznzzz?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-42)\/24)\/((-2)\/8). Let u(o) = o**3 - 8*o**2 + 6*o + 10. Let i be u(w). What is the smallest common multiple of 10 and i + 4 + 0 + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 28. Suppose f = l - 4. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2\/578896475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*u**(-47)*u*u\/(u\/((u**(-2\/53)*u)\/u))*(u*(u\/(u\/(u\/u**(-39))*u*u))\/u*u)**(-8\/7) assuming u is positive.\nAnswer: u**(-32503\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 times -100?\nAnswer: -42700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(44)*6.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**17\/g*g*g)\/(g\/g**12) assuming g is positive.\nAnswer: g**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*z - 3*z - 11, k = 3*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138606?\nAnswer: 2, 3, 13, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*x = 38*x - 1620 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 395 + -247. Calculate the least common multiple of o and 12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -212, -866, -1964, -3512, -5516, -7982, -10916, -14324?\n\"Answer: -w**3 - 216*w**2 + w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 25*o + 6. Let k be v(-4). Let b = -3006 + 2793. Let f = k - b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frrfrrs. Give prob of sequence ff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(132) + sqrt(132)))\/sqrt(12).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*d**5 - 195*d**4 + 720881*d**2 wrt d.\nAnswer: 3840*d**2 - 4680*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 8*l + 41. Determine g(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 3*z - 3. Let f(g) = -g**3 + 6*g**2 + 5*g - 7. What is the remainder when f(5) is divided by y(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + b - 10, 0*o + o - 2*b - 8 = 0. Let -19*d**o + 22*d**3 + 3*d**4 - 16*d - 6*d**3 + 3 + 1 + 12*d**2 = 0. Calculate d.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-436)\/(-654)*((-6)\/(-4) + 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973601 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19) + -4*sqrt(19) + -6*(sqrt(19) + (sqrt(114)\/sqrt(6) - sqrt(19))**2) + sqrt(19).\nAnswer: -8*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4 and -77\/116682?\nAnswer: 233364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11727 - -15688. What are the prime factors of g?\nAnswer: 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 45160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*d + 39389 + 56432. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 119*n + 245. Determine v(-5).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 - (3 - 1) - 3. Suppose y + y + 2*p - m = 0, -p = 3. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5866, 11883, 17900, 23917?\nAnswer: 29934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 7 = 2*o, 5*o - 4*g + 60 = -4*o + 65 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + ((-6)\/(-2))\/3. Let l = -26 + 27. List the prime factors of c\/(l + 8\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 - 17*d**3 - 29*d**3 + 4*d**3.\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 28*x - 51. Let j(h) = 85*h - 159. Let m(v) = 19*d(v) - 6*j(v). Calculate m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-2 + 2\/2). Let f = -86 + 78. Let m = w - f. Solve m = 4*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-5)*(-5)\/(3\/3). What is the tens digit of (d\/8)\/((-11)\/(-264))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2. Let b(c) = 3 - 1 + 1 + 7*c + 2. Let f(d) = -4*d - 3. Let o(j) = 3*b(j) + 5*f(j). Determine u(o(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m - 409 - 20*m**4 + m + 364 wrt m?\nAnswer: -80*m**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*n + 277 + 571, -3*a + n + 1292 = 0. Let s be 2 - (1719\/a + -2). Is -1 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - (3 + -4)*1. Let z = 0 - t. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1793293 is divided by 1997?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 877305 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 5}. What is prob of picking 2 h and 1 e?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 - k. Let l(w) = -28*w**3 - w**2 - 22*w + 2. Let h(z) = 3*f(z) + l(z). What is the second derivative of h(r) wrt r?\nAnswer: -186*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**3*t**2 + 10*p**3*t*w**2 - p**3*w**3 + 3*p**3*w + 8*t**2*w**2 - t**2*w wrt w.\nAnswer: 20*p**3*t - 6*p**3*w + 16*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2)*f**(-14)*f*f**(-1)*f\/f**(-14))**(1\/5) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.281 rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, a: 3, y: 2, x: 10}. Give prob of picking 1 q and 1 a.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59848129 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 10. Let b be l(-3). Find the third derivative of 30*w**6 + 26*w**b + 20*w**6 - 42*w**2 wrt w.\nAnswer: 6000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 302*s**2\/9 + 201130*s\/9 - 148 = 0. What is s?\nAnswer: -666, 1\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23567907 plus 7.1?\nAnswer: -23567899.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4 - 639*t**3 + 19120*t**2 + 297588*t + 960480 = 0.\nAnswer: -667, -6, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 11. Suppose -4*d - 4*s + 24 = 0, 15*d + 2*s = 14*d + 8. Let 1928*a - 1928*a + d*a**2 - 3*a**x - a**4 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwcw when four letters picked without replacement from ccccwccwccrcccwwcw.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 333?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = -2*y - 4, -5*q + 5*y = 10. Suppose a + 0*a = 0. Suppose -6*d + 2*d = a. Sort d, 2, q.\nAnswer: q, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105016655*5\nAnswer: -525083275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 31. Suppose 3*g = g + n. Suppose 3*t - 28 = -2*l, -2*t = 3*l + g - 58. What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -15*d + 11*d - 122980. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 315 in 0.7, 1, 3, 0, 0.027?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {r: 2, o: 4, h: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9186 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1294, 5229, 11788, 20971, 32778, 47209, 64264?\n\"Answer: 1312*c**2 - c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 - 117 - 14*j)*(0 - 3 + 2 + (-2 - 2 + 3)*(-4 + 5 + 0) - 3 + 2 + 2 - 4 + 3 + 0 - 2 + 2 - 3)*(-2*j**4 + 1 - 1).\nAnswer: -140*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44*(-6)\/16*72\/108.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 205761 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 2 - (-119)\/(-17). Let u(m) = -m**2 - 9*m - 3. Let n be u(-8). Let a(x) = x**2 - 5*x + 5. Let i be a(n). Sort i, -3, o.\nAnswer: -3, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55634729 by 7.\nAnswer: -55634729\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 2*q**3 + 10*q. Give n(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -563 - -2211\/4. Calculate the common denominator of x and 5\/13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 7*m + 3*m - 5 - m**2 + (2 + 2 - 1)*(8*m**2 - m**2 + 2*m**2).\nAnswer: 26*m**2 - m - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by -4?\nAnswer: 95\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*j - j + k, -5*k = -2*j + 15. Suppose 2*y + 37 = 4*n - 29, -5*n + y + 81 = j. Calculate the greatest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 8*o**2 - 3*o + 7. Let q be v(8). Let d = q + 19. Solve -4*n + d + 10 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*v - 16, -2*v + v + 3*k + 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 876037575 and 6070?\nAnswer: 3035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 s, and 2 q when four letters picked without replacement from {u: 2, q: 4, y: 2, f: 1, k: 2, s: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2 + i**2 + 0*i**2 - 6*i - 5. Let o be z(7). Suppose 3*w - 30 = -3*q + 3, 53 = o*w + q. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -474434686 and -225318.\nAnswer: -474660004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*l + 21 = 0, 0 = 5*l - 7*l - 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64600 = -3*z - 6277. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007120175884 rounded to 7 decimal places?\nAnswer: -0.0071202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21*(1 + 0)\/1. Let i be 5\/(-7) - 6\/v. Let r be 1*i\/(7\/(-2)). Is -1 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50 or -174?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1624*o - 1617*o + 42 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -4, 4\/5, 2, 0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*q - 73 - 14. What is the first derivative of -p**2 - 10*p**2 - 4*p**3 + 96 + 12 + 7*p**q wrt p?\nAnswer: 9*p**2 - 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4076*b**2 + 18*b*s**2 + 551039*s**2 with respect to b.\nAnswer: 8152*b + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100000 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9694 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*q**3*t**3 + 12317*q**3*t - 27*q**2*t**4 + 3*q*t**2 + 2*t**4 wrt t?\nAnswer: 66*q**3 - 648*q**2*t + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 30\/20)\/(1\/(-6)). Suppose -2*x - 3 = -x. Does 33 divide 3 - 4 - (-100 - (x + p))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149029892 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*x - 3 = -8*x, 5*x = 5*c. Calculate the common denominator of (-23)\/(-8) + 11\/44*c and -41\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 10*l - 5. Let j be h(11). Suppose -j*d = -0*d - 564. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -5*s**4\/24 + 19*s**3\/2 + 17*s**2 - 2*s. Let q be o(11). Calculate the greatest common divisor of 4 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 952 and 19672604.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128906.3 milliseconds to nanoseconds.\nAnswer: 128906300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54924655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 5219 + -5215. Let x(p) be the third derivative of -2\/3*p**3 - 10*p**2 + 0 - 2\/3*p**m + 0*p. Find the first derivative of x(v) wrt v.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:16 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 0*t**3 - t**3 - 3*t**2 - 8*t**3 + 3*t**3 - 1. Let d be g(-2). Is (d\/(-2))\/(1\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 52. Let x be i(17). Let q(u) = -5*u + 1. What is q(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*q - 0*q + 975, -3*q + 9 = 0. Factor 50 - 168 + 75*j**2 + k*j + 310.\nAnswer: 3*(5*j + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**(-2\/11)*((o\/(o*o*o\/(o*o**(-1\/3))*o))\/o)\/(o*(o*o**12)\/o*o))**(5\/6) assuming o is positive.\nAnswer: o**(-9980\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlc when three letters picked without replacement from {i: 1, l: 4, z: 1, n: 1, c: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1 + (-2 + 3 + 2)*(-1 + 3 + 0))*(0 - 3*s + 0 + (1 + 3 - 5)*(s - 2 + 2) + 2*s - s + 2*s - 3 + 3 + 2*s + (1 + 0 + 0)*(-s - s + 6*s)).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 3*j**2 + 9*j + 9. Let u(b) = b**3 - b**2 + 6*b + 19. Let a be u(-2). What is z(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 23 + (42 - 20 - 17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-48)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 7*t**2 + t - 7. Let n be c(7). Let f(j) be the third derivative of j**6\/120 + 2*j**3\/3 - 16*j**2. Give f(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-600)\/(-750)*((-10)\/9)\/(28\/21). What is the closest to p in -0.4, 174\/13, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75\/8 in 0.04, -393, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0 = 10. Let a(n) = n**2 + 9*n. Let y be a(-9). Let i be ((-4)\/(-10))\/(3\/30). Solve y = p - i + l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k**2 + 5*k + 5. Let j(n) = 5*n**2 - 2*n - 2. Let l(v) = -10*j(v) - 4*p(v). Let c(i) = 2*i. Determine c(l(x)).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -268\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/1644 and 79\/152.\nAnswer: 62472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 1 + 0 + r)*(-19 + 17 - 9)*(-r**2 - 4*r**2 + 6*r**2) as s + p*r**2 + l*r + b*r**3 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 85. Suppose 37 = j*m - 4*y, -10 = m + 47*y - 42*y. Calculate the remainder when 159 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 = 2*f + 8, 5*f = 5*p - 15. Suppose -p*s + 50 + 2 = 4*b, -3*b - 57 = -3*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6804*-27\nAnswer: -183708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-five halves of a gram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, c: 2, a: 3, p: 3}. Give prob of picking 2 b and 2 c.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 + 32*l**2 - 36*l = 0. What is l?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 41*y. Let u(x) = 9512*x. What is 1394*s(h) - 6*u(h)?\nAnswer: 82*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 4. Let m be y(-6). Let b be (m - 440)*(-2181)\/(-6). Let j = 18333 - b. What is j rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-5)*(196\/42)\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.56844 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 92. Suppose -2*g + 3*g = 0. Suppose -3*d + p = -g*d. Solve -3*q + i = -d, 0 = -5*q - 3*i + 15 + 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 320, 716, 1270?\nAnswer: 1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 11. Suppose 5*i + 10 = 0, v - 8 = j*i - 2*i. Suppose v*f - 2\/7*f**4 - 4\/7*f**3 + 0 + 2\/7*f**5 + 0*f**2 = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 4*w + 8. Let m(n) = -n**2 + n - 1. Calculate -6*m(f) - o(f).\nAnswer: 2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**5\/90 - 13*o**4\/18 + 169*o**3\/9 - 2197*o**2\/9 - 6*o. Factor g(p).\nAnswer: 2*(p - 13)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*k - 54 = 0, -y = -3727*k + 3724*k + 54 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-8\/3)*(y**(-1\/2))**(-1\/42))\/((y**(-2\/13)\/y)**(5\/19))**(-30) assuming y is positive.\nAnswer: y**(-44475\/6916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 4*r - 6. Let j = -181 - -183. Let q(d) = 3*d - 2. Let u be q(j). What is m(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 145 = -3*y + 3*a, 5*y + 4*a = 110. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + c - 7. Let q be 138\/(-30) + 2\/(-5). Let m be p(q). Suppose m + 23 = 2*v - 2*l, -2*v + l + 31 = 0. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190300 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45697, -91391, -137085?\nAnswer: -182779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*b + 145*b - 3 = 0. Let k be (-1008)\/(-1144) - b\/((-26)\/4). Factor -k*w - 8\/11 - 2\/11*w**2.\nAnswer: -2*(w + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 26*l**2 - 4*l + 236. Let m(r) = -5*r**2 + r - 59. Give -9*m(n) - 2*x(n).\nAnswer: -7*n**2 - n + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/72 - i**4\/24 + 5*i**3\/3 - 3*i**2 + 7*i. Let w(p) be the second derivative of l(p). Let h(s) = 22*s. Calculate w(h(r)).\nAnswer: -220*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4536 by -2268.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(490\/15)*-2. What is the third biggest value in b, -3\/5, -1\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -260*m**3 - 1575*m**2 - 2430*m - 135.\nAnswer: -5*(m + 3)**2*(52*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6) - ((-9)\/((-81)\/(-15)) + 22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81587, 81549, 81511?\nAnswer: 81473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 2*z + 13 + 0*z. Suppose 739 - 718 = 3*w. Calculate the remainder when 22 is divided by j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22402332 (base 5) to base 16.\nAnswer: 30e96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2*(-492)\/369)\/((-1)\/(-10))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, j: 6, r: 1, p: 8, g: 1}. Give prob of sequence pxj.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 1145\nAnswer: -2290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1551 (base 6) to base 8\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2133\/(-9954)*(-10)\/(-3))\/(-5)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26143 - 26139. Find p, given that -2\/3*p**3 - n*p**2 + 0 + 0*p = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160020\/(-1778)*(9\/(-15))\/(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 54. Let d be ((-51)\/6 - -7) + w\/2. Suppose d = 3*i - 338 - 1033. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 + (431 - 439) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 19. Let k be c(0). Let b = k - -29. Calculate the lowest common multiple of -3*-2*(-2)\/(-4) and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 2:54 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 0 - 1\/960*f**6 - 204*f**2 + 0*f**3 + 0*f - 1\/480*f**5 + 0*f**4 + 1\/840*f**7. Factor i(c).\nAnswer: c**2*(c - 1)*(2*c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95788 and 7307256?\nAnswer: 51150792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-1 - 20\/(-2)). Let x = -9 - r. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*b + 52. Which is smaller: b or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 79*c**2 - 72*c**2 - 377*c**4 + 152*c**2 - 16 + 16 to the form z*c**3 + b*c**4 + o*c**2 + i + j*c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from pbpbupb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -38582523?\nAnswer: 11574756.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4)\/sqrt(2))**2 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 220 (b) 1\/6 (c) 1\/18 (d) 0.02 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 528091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3)*(-4815)\/(-1070).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/(-180)*3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = 15. Let y be (28\/22 + -1)*-5. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + ((-35)\/18 - -4) and -33\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a92 (base 16) in base 14?\nAnswer: db4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 48 + -6b58?\nAnswer: -6b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86720839 to the power of 1\/2, to the nearest integer?\nAnswer: 9312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*p**5\/2 - 131945*p**4\/2 - 124343995*p**3\/2 + 17879225*p**2\/2 + 53298375*p = 0. Calculate p.\nAnswer: -1885, -6\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/12160 and -47\/648000.\nAnswer: 24624000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49868 + 23356 = 2712*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*r**4 - r**2 - 1.\nAnswer: -2856*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 11*d + 14. Let f(x) = x - 4. Let c be f(6). Let i(y) = 9 + 2*y + c*y + 4*y - y. Determine 8*i(m) - 5*p(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/17490 and 95\/10494.\nAnswer: 52470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -959\/9. Which is the nearest to -1\/4? (a) 0.3 (b) 2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83953 - -83952.99943411. What is u rounded to five decimal places?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 223, 6 in descending order.\nAnswer: 223, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -284717 greater than -284710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (3 - 0) + 1 + 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-190)\/1995)\/(3\/18*2). Which is the third smallest value? (a) 1\/6 (b) -8 (c) 13 (d) v (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1496 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*t**4\/9 - 394*t**3 + 31312*t**2\/9 + 55224*t - 10816 = 0 for t.\nAnswer: -8, 6\/31, 26, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 332 (base 8) to base 12\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -935*m + 928*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -18. Let o = t + 21. Solve -5*v = -4*v + o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69182415 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 328\/22843 or -1?\nAnswer: 328\/22843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 + 109 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**4 + 4*d**3 + 3*d**2 + 67. Let r(m) = 5*m**4 - 3*m**3 - 4*m**2 - 67. Let t(g) = -4*r(g) - 3*y(g). Differentiate t(f) wrt f.\nAnswer: -20*f**3 + 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:23 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2600)*-1*2 - sqrt(2600)) + sqrt(2600) + sqrt(2600) + sqrt(2600))\/(-2*sqrt(2)*3 - (sqrt(2) + sqrt(12)\/(sqrt(6)*2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.131 + -66.131. Let k = -90.0806 - -156.0769. Let c = p + k. Round c to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-22) - 150\/(-22). Let s = o - -57. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2027, -1929, -1791, -1595, -1323, -957?\n\"Answer: 3*h**3 + 2*h**2 + 71*h - 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/2 + 4*h**4 - 19*h**3\/2 + 4*h**2 + 10*h - 8 = 0. What is h?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 919, 5, 1.8, -1?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 3*u + 0*u**2 + 0 - 1\/54*u**4 - 1\/135*u**6 - 1\/45*u**5 + 0*u**3. Let m(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/3)\/(40\/210). Suppose i*y - 1606 - 284 = 0. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2313010 (base 4) in base 3?\nAnswer: -121001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (90 - 3) + (7 + (-4 + 18 - 11) - 23)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38*32249\nAnswer: 1225462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30754410 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + f**3 - 2702*f**4 + 2701*f**4 + 11*f + 16*f**2 - 8*f as c*f**4 + o*f + l*f**2 + z*f**3 + y and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 2*s**3\/3 + 9. Let a(i) = -21*i**2. Calculate o(a(n)).\nAnswer: 882*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*y = -3, 4 = -f - 4*y - y. Suppose -f = -5*q + 44. Let s = 5 + q. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22201312210 (base 4) in base 16?\nAnswer: 2a1da4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 3*j - 14. Let u = j - -98\/3. Let g = -25 - -28. What is the third smallest value in u, g, 3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2687 and 528.596165.\nAnswer: 528.327465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 b when four letters picked without replacement from bbbbqpbqp.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 14*n**2 - 64*n + 66. Give a(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 14*f + 47. Let w be q(-5). Let a be (-9 + 3)\/((-6)\/9). Suppose 4*x = -21 + a. Sort w, 1, x in decreasing order.\nAnswer: w, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpw when three letters picked without replacement from xmxrprmwrrpppmxm.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyy when three letters picked without replacement from fyfkffkfffy.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2847*h + 382. Let q be d(-6). Calculate the highest common factor of 37 and q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.5, 0.212 in increasing order.\nAnswer: -0.4, 0.212, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73849 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43155716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40811145006 and 0.4.\nAnswer: 40811145006.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -33*x**2 + 18*x - 60. Let r(c) = -149*c**2 + 73*c - 238. Let q(v) = 2*r(v) - 9*y(v). Calculate q(-21).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292577 is divided by 397.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22729202?\nAnswer: 2, 11364601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2\/4*1. Suppose 0 = 2*t - 2*o - 3*o + 65, -2*t - 5*o - 15 = 0. Is 12 a factor of 0*f\/2 - t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 37. Suppose p = -0*p - l + 168, -s = 5*l. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -35*u**2 - 85*u + 541. Let n be q(6). Round n to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {c: 1, b: 7, d: 11}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19459 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 4*k**2 - 2*k. Let v be m(-2). Let r = 9 - v. Let s = 12 - -3. Solve s = -0*c + r*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**3 - 2*x**2 - 2*x - 2. Let z be 2*(-2)\/2 + 0. List the prime factors of w(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -181 and 25.91?\nAnswer: -4689.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 242963893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*r - 7 - r + 8)*(r - 2*r - 6*r) to the form l*r**2 + d + p*r and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 511*l - 194. Let p(f) = 2047*f - 777. Let b(q) = 6*p(q) - 22*r(q). What is the first derivative of b(v) wrt v?\nAnswer: 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**4)\/d*d**(-17)\/d)\/((d**(-10)*d)\/(d*d**(-7\/4))))**(-22\/3) assuming d is positive.\nAnswer: d**(253\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 1. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -100*o**7\/21 + 3*o**5\/20 - o**4\/12 - 2219*o**3\/6 - 3941*o. Find the second derivative of n(m) wrt m.\nAnswer: -4000*m**3 + 18*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 12:31 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101011100011000 (base 2) in base 9?\nAnswer: -643021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 36*n - 139. Determine w(12).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119822?\nAnswer: 2, 181, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.5 * 0.4724.\nAnswer: -10.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10222 (base 3) to base 2\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 20 = -18. Let c = -8 + w. Suppose -24 = -2*j + 20. What is the greatest common divisor of c and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15706.59 to the nearest ten.\nAnswer: -15710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 2660306?\nAnswer: -2660310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219812813?\nAnswer: 11, 199, 100417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476279883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 - 4 + y**3 - 3*y**3 + 4*y**2 - 4*y. Is l(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99) - (sqrt(99) - (sqrt(99) + 1 + -3))))**2*-5 + 3.\nAnswer: -4632 + 540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0 - 3\/20*g**5 + 0*g**2 + 0*g**3 + 37*g - 1\/4*g**4. Suppose w(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 16. Let d(y) be the third derivative of y**5\/60 + 13*y**4\/24 + 3*y**3 + y**2. Calculate the remainder when s is divided by d(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + -0.07. Let w = -3.97 + m. Let i = 7 + w. Which is the second biggest value? (a) 0 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 25*n = -26146. Calculate the least common multiple of n and 6.\nAnswer: 4614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -3266.633\nAnswer: 19599.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -296\/7305 or -1?\nAnswer: -296\/7305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 39452261.\nAnswer: -3\/39452261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1652\/(-196) - ((-18)\/12)\/((-3)\/(-18))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 0*b = -258. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -6422648639?\nAnswer: 6422648644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054355228 to seven dps.\nAnswer: 0.0005436","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 4*z**2 - 2*z - 1. Let w be j(3). Let g be (-1)\/(-2)*(w + -8). Let u = 6 + g. Solve u*y = 8*a - 4*a + 27, -15 = 5*a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 0*j = 5*j + 25, j = 4*q - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30349614 to the nearest integer?\nAnswer: 5509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36*(28\/6 + -3). Calculate the greatest common factor of 300 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 20 = 5392. Suppose -9*w = 2*w - o. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, u: 1, h: 1, w: 1}. Give prob of sequence wu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 5. Let v(y) = 3*y**2 + 4*y + 2. Let t be v(-2). Let r(u) = -5*u**2 + 6. Let a(j) = t*z(j) + 5*r(j). Let b(p) = -46*p**2. Calculate b(a(c)).\nAnswer: -46*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**2 + 30 + 16 + s - 5*s**2 + (-2 + 2 - 2*s)*(1 - 2*s - 1) to t*s**2 + p + h*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 11 - 101. Let f = 71 + -92. Let c be 36\/((-12)\/(-20) + f\/(-15)). Calculate the greatest common divisor of k and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018496 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 + 10*k - 2. What is t(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (465\/2325)\/((-7)\/(-5)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 945, 1729, 2513, 3297, 4081?\nAnswer: 4865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 53*p**2 + 214*p + 159. Let i be w(-30). Solve i*l = 36*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*v = 1451*v - 113145 for v.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (-12 - (-70 + 16)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8950 divided by -5?\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 316*u**2 + 185*u**2 + 154*u**2 - 6*u + 2*u**3 in the form b*u**3 + m + y*u + c*u**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/24265 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/12 + q**3\/2 + 21*q**2\/2 + 47*q. What is the remainder when 115 is divided by m(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)\/(a**(-2\/7)*a))\/(a*a**1)**17 assuming a is positive.\nAnswer: a**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/4 + u**3\/6 - 3*u**2\/2 + 2*u. Suppose 8 = -4*a - 4. Does 11 divide o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 137\/5 - 8\/20. Let p be m*(-1 + 2)*-21. Is 4*(p\/(-12) + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 45*b + 427. Let t be z(-24). Let j = t + 653. Which is smaller: 10\/21 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-888)\/(-384)*4 + -9*1. Which is the biggest value? (a) -2\/471 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 1\/28, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 104 = -2*h - 8, 0 = -h - 4. Calculate the lowest common multiple of 24 and a.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**3\/3 + w. Let n be ((-18)\/72)\/((-1)\/12). Calculate h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 7*d - 5. Suppose -30 = -5*c + 7*c. Let x = c - -21. Determine g(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1238188*c**2*s + 6*c**2*v - 6*c*s*v - 6*c*s - 920*s*v + 7*v wrt c.\nAnswer: 2476376*s + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c**2 - 6*c - 5. Let k(n) = -8*n**2 - 5*n - 4. Let m(i) = 6*a(i) - 7*k(i). Is m(4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319754 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 3*i - 43. Let m(p) = -2*p**2 + 5*p + 50. Give 2*m(b) + 3*y(b).\nAnswer: 2*b**2 + b - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13887947869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232888 and 5705756.\nAnswer: 11411512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 182688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 10 + 7*q**2 + 10.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55666*c + 55591*c + 1275 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 20.851 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -308182 or -308181?\nAnswer: -308182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 416696591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 6*d - 3*d + 9*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/27 and -5 - (6 + 35\/25)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110.533 millennia to months.\nAnswer: 1326396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*j + 11 = 0, -5*h + 4*j = -3*h. Let d be (11 + h\/2)*2. Suppose -s + d = 4*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46330*n**4 - 82073 wrt n.\nAnswer: 185320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 1\/60*t**5 + 0*t - 5\/24*t**4 + 0 + t**2 + 7\/6*t**3. Let v = 1019 - 1014. Give i(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 485 + 28159?\nAnswer: 28633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2013 - 2*u + 2012 - 4025.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -139 - 0.016\nAnswer: -139.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 586, 3010, 8596, 18610, 34318, 56986, 87880?\nAnswer: 128266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**3*i*k - g**3*k - 7*g**2 + 2*g*i*k + g*k - i*k wrt g.\nAnswer: -36*i*k - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvo. Give prob of sequence vv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 190493.\nAnswer: -14\/190493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37201 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542461 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 2*l**5\/15 + l**4\/12 + l**3\/6 + 23*l**2. Give g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 16. Suppose -k = -h*k + 9. Suppose 0*u + 2*u + k*r = 21, -r - 26 = -3*u. 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 58313 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: Which is smaller: -3709 or -3696?\nAnswer: -3709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(((t*t**(-1\/5)*t)\/t)\/t)*t**(-3\/11) assuming t is positive.\nAnswer: t**(51\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 522*z - 34. Suppose 4*g = 5*m - 52, -m + 12 = -4*g - 6*m. Let d be v(g). What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 59*j**2 - 27*j + 97. Determine b(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-24)*(-2)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10107)\/(-132) - 3\/4. Let a = u - 557\/22. Find the common denominator of 113\/10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -879083 + 879081. Let x = 0.37 + 0.03. Which is the smallest value? (a) -16 (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3634 + -0.0634. Which is the closest to -0.3? (a) 1\/5 (b) l (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b - 7. Suppose 0 = 3*z - i - 19 + 20, -2*i = -3*z + 1. Let k be (6 + z)*6\/15. Determine n(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 + 13*o - 9. What is the hundreds digit of q(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-16)*-4 + (-29634)\/22220. Is 0 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 3. Let a be w(4). Let j be (-91)\/561 + 8\/44. Let t = 311\/255 - j. Are a and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = 3*u. Solve -3*a + a + u = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929480801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133585 - 133585 - 333*v to t + u*v and give u.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-448)\/1904*(-2)\/(8\/374)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x + 18. Let w be (-2 + 2)*3\/9. Is o(w) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 7*p + 112 = 0. Suppose j + 2*u + u - p = 0, 0 = 3*j + u - 368. Let z be (-7)\/(-21) - j\/(-6). Calculate the highest common divisor of 147 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t*y + 55707*t - 1398*y + 15 wrt t.\nAnswer: -2*y + 55707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x + 4*x**2 - 4*x**2 - 4*x**2.\nAnswer: -4*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from bbobboodod?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 15. Let v = 13 - h. Which is the second biggest value? (a) 1 (b) v (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2699088 and 7756.\nAnswer: 2699088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((26\/(-39))\/(-2))\/(5\/(-60)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-829)\/(-13) + (-15)\/(-65) + -15.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.27 in -1\/6, -3, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/2574*-11)\/(2\/(-36))\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + (-3672)\/(-476). Solve 9*m - 2*w = 5*m + c, w = -4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:13 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 34 - 74 + 47)*(5 + 6 + 8).\nAnswer: -38*n + 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mddpmpmmppmmppppmp. What is prob of picking 2 m and 2 d?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2949*q**2 - 23*q + 8. Let z(d) = 2950*d**2 + 28*d - 10. Determine -6*t(i) - 5*z(i).\nAnswer: 2944*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105.4797 - -0.0203. Let k = -106 + o. What is the third smallest value in k, 0.1, -0.2, 1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18048 and 6.\nAnswer: 18048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(2 + 13) - (-420)\/(-1600).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1088 and 1417664?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -950 - -647. Let g = 2181\/2 - 1126. What is the common denominator of m\/(-18)*6\/(-24) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h + 6*h**2 + 10*h)*(-h - 2*h + 2*h)*(-3 + 0 + 1) + 2 - 2 + 2*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10784 - -0.55484?\nAnswer: -10783.44516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -565 (base 15) to base 8.\nAnswer: -2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(4\/(-2)) + 1. Calculate the greatest common divisor of s and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4*(-1)\/(-32)*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 - -27 - 30 - 31.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Suppose -s = 4*q - 24. Suppose -k - 4*j + j + 9 = 0, q*k - 93 = j. Solve 5*i - f - 9 = 3*i, -k = -3*i - 3*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225 and 29575?\nAnswer: 266175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 17*g + 9*g - 26, 5*g + 19 = -1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1380896, 2761802, 4142708?\nAnswer: 5523614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -12*b - 2. Let q be p(2). Suppose -a - 78 = 2*g + 3*a, -g + a - 42 = 0. Let x = q - g. Calculate the remainder when 43 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 1, b: 1, v: 1, u: 1, w: 1}. What is prob of sequence vbwj?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.1 - -138.9. Let c = 258 - p. Let r = c - 78. What is the closest to 0 in -3, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1816 + 4465. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**4 - 21*d**4 - 18*d**4)*(2 + 0 + 2).\nAnswer: -104*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*m - 895 = 1432, -2*y + m + 4689 = 0. List the prime factors of y.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:05 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (29 + -6 + -20)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 108*a + 540. Determine n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029126628 rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.47792 + -23.817. Let f = z + -0.371. Let x = -0.29 + f. What is x rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 288 - 452 = 0. Let s = w - 48. What is the highest common factor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3432762*m - 3432759*m = -3, -55 = 5*t - 2*m for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**3*y**2 - 60*q**3*y - 192142*q**3 - 24616*q**2*y**2 + 4*q*y**2 + 47*y**2 + 4 wrt y.\nAnswer: 8*q**3 - 49232*q**2 + 8*q + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbmlylvvb. What is prob of sequence dlym?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 2\/3*b**3 - 1\/6*b**4 - b**2 + 0*b + 0. Give x(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(2\/5))**12\/(l\/(l\/(l*(l*l\/l**(-1\/2))\/l)*l)*l**2) assuming l is positive.\nAnswer: l**(253\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*-1)\/(4\/(-12)). Suppose -b + 4 = r. Solve -3*u + 6 = 0, 3 - b = 2*c - u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 49*v + 399. What is y(-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**3 - 7*k**3 - 7*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m*m**(-6\/5))\/m)*m*m*m*m**(-15))\/((m**7\/m)\/m*m*m**24) assuming m is positive.\nAnswer: m**(-194\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.069l to millilitres.\nAnswer: 48069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 48*s**2 + 204*s + 243. Give t(52).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189970571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/7, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) 0 (b) 2\/5 (c) 631 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 - 1071*a - 10597. Calculate v(-10).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -36. Let r(b) = b**3 - 10 - 10 + w - 7*b**2 - 4 + 5*b. Give r(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - 53. Let d = w + 125. What is the highest common divisor of d and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(153) + 0 - sqrt(153))*-1)**2 - (sqrt(204)*-1*-2 - sqrt(204))\/((sqrt(12) - (sqrt(48) + sqrt(12)))*-4).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130267601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19207774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 20226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 5*c = 15, 721*v - 4*c = 724*v - 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 11. Let v be x(0). Let y = -7 - v. Suppose 23 - 7 = y*h. Let g(r) = -r**3 + 5*r**2 - 3*r - 2. Give g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -11*x**4\/2 - 2*x**3 + 25. Find the third derivative of q(t) wrt t.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12447923461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9490 and 949?\nAnswer: 9490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81973*b**2 + 1 - 2 - 3 + 7 - 2*b.\nAnswer: 81973*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = g + 3*g + 63, k - 87 = 5*g. Let h = g - -27. List the prime factors of h\/6*10 + -1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(((-440)\/(-20))\/88)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/19)\/o**(2\/55) assuming o is positive.\nAnswer: o**(182\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -158?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21312004212 - 201?\nAnswer: 21312004011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -4\/5, -5, 61, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1223, 2511, 3797, 5081?\nAnswer: 6363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**3 - c**3 + c**3)*(-50 + 23 + 37) as o*c + h*c**3 + f*c**2 + q and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 - (81 - 110) - 36.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 10:02 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 37895636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*l + 6 - 4, 4*l + 12 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/((y*y**(2\/17))\/y))\/(y*y*y**0)**(-21)*(y*(((y*y*y*y**5*y)\/y)\/y)\/y*y**2)\/((y*y**(-5\/4))\/y*y\/(y\/y**(1\/7))) assuming y is positive.\nAnswer: y**(74717\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428 and 1580.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 13. Let w be p(-10). Calculate the remainder when 22 + (1 - 4)\/w is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(7\/5))\/(d*d*d*d**(-4\/5)*d))**(-33) assuming d is positive.\nAnswer: d**(429\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wevrekii. What is prob of picking 1 k, 1 e, and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*b + 2, 0*b + 4*f + 7 = -b. Is 1\/13 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/396 and 65\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70919 is divided by 311?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25702245 by -1.\nAnswer: 25702245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14297, 14298, 14299, 14300?\n\"Answer: s + 14296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 117*l**3 + 3*l**2 + 861*l. Let x(t) = 41*t**3 + t**2 + 288*t. What is 17*x(c) - 6*z(c)?\nAnswer: -5*c**3 - c**2 - 270*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsa when three letters picked without replacement from {a: 8, s: 2, j: 1, u: 3, w: 2, k: 4}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -35 and -5402\/155 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 24*n + 225. Is o(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17891 is divided by 3231.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - a - 8 - 5 = 0, -4*o + 19 = a. Suppose o + 8 = -2*u. Let i(v) = -v**3 - 6*v**2 + 1. Calculate i(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 - 19 = 0. Let b be (1\/(-12))\/(3\/(-9)). What is the closest to -1 in s, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3229 times -6?\nAnswer: 1.9374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3927, -7858, -11789?\n\"Answer: -3931*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 d when three letters picked without replacement from mdngnngggngn.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 15*u - 5. What is o(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 43 - (1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfyyyytmyyyuuyyumyyu. Give prob of sequence uf.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313302112 (base 4) to base 16.\nAnswer: 37c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4)\/d)\/d**(2\/7))\/(d\/((d\/(d*d*d*d*d\/(d**(-1)\/d*d)*d*d))\/d))**(-7) assuming d is positive.\nAnswer: d**(411\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*x + 7, -2*x + 7 = r - 0. Suppose r = s + 2*b - 45, -3*s - b + 166 = 0. Let q = 21 - 14. What is the greatest common factor of q and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 2:59 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 883, 11207, 28415, 52507, 83483, 121343, 166087?\nAnswer: 217715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28.8 + 3.8. Let m = 1374200071 + -1374200096.00000003. Let n = m - y. What is n rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 3*m**2 - 9*m + 16. Calculate the least common multiple of o(4) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9410*m. Let r(d) = 406*d. Determine u(r(i)).\nAnswer: 3820460*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 176*d**2 - 4*d - 6. Let f be v(-1). Suppose f = -20*j + 474. What is the smallest common multiple of j and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*o + 53, -38 = -3*h - 38*o + 28*o - 187 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*k**3 + 178*k**2 + 74*k - 660.\nAnswer: -2*(k - 15)*(k + 2)*(6*k - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -6. Let w = 7 + h. Sort 2\/7, 1\/4, w in decreasing order.\nAnswer: w, 2\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncjy when four letters picked without replacement from {j: 6, c: 1, n: 2, y: 1, d: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1138930, -1138974, -1139054, -1139176, -1139346, -1139570?\nAnswer: -1139854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 - (7 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643*q**3 - 224*q**3 - 212*q**3 - 205*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 2*a**2 - 3*a + 2. Suppose 5*h - 2*h = 6. Let t be s(h). Find the third derivative of -t*q**3 + q**3 - 4*q**5 + 3*q**3 - 14*q**2 wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5. Let m be 5 + 46 - -1*l. Suppose 0 = -2*g - h + m, -2*g + 2*h - 7*h = -52. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, e: 3}. What is prob of picking 1 u and 2 e?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 660459492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 8, x: 6, f: 3}. Give prob of picking 2 x and 1 b.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) + 1\/(-3). Suppose a = 5*u - 4*u - 4. Is 8\/3 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158024591 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -29 and -2.8891 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 289745317.2 rounded to the nearest one hundred thousand?\nAnswer: 289700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -35*j**3 + j**2 + 2*j - 4. Let q be w(-2). Suppose 4*h - 6*h + q = 4*d, -3*d + 207 = -3*h. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*u - 9*u + 0*u + 19*u + 23*u in the form x + z*u and give z.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 123608972 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -46907 divided by -6?\nAnswer: 46907\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933528 is divided by 556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93558 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**2 + 1555875*g + 2723511 wrt g?\nAnswer: 2*g + 1555875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352 divided by 5?\nAnswer: -1352\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p - 3*w + 466305 = 80*p, -p + 2*w = -155441. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/6 - 4\/(-36)*-6. Calculate the greatest common divisor of l and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264716001 and 792?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 375*w**2 - 29 + 6.\nAnswer: -375*w**2 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 16. Let c be s(-9). Let k = 48 + c. Let p(n) = 39*n - k*n - 1 - 18*n. Calculate p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - y = 3*y + 2, 5*y = -4*w - 1. What is the second smallest value in w, -9\/7, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 + -171. Is (3822\/396 - y\/44)*6 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924590 rounded to the nearest 10000?\nAnswer: 1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*u. Suppose -y - 1 = -u*y. Let i be 6\/(-14) - (-12)\/(-21). Is i bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*t**2*u - 25*a**2*t**2 - 3*a**2*u - 2*a*t**2 - 3*a*t*u - 3*a - t*u wrt t?\nAnswer: -4*a**2*u - 50*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, l: 1, t: 1, z: 2, d: 2, c: 3}. Give prob of picking 1 c and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210639 at most 5210638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 151*f + 4. Let w be s(4). Suppose 0 = -4*m + w - 76. Let h be 3\/(240\/76 - 3). Calculate the greatest common divisor of m and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 4*y + 14. Let v be d(6). Solve -m + v = -0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:31 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from kuggbugguggug?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 8*w - 5. Let y be x(9). Suppose 5*f = 5, 8 = o + 3*o - y*f. Let h = o + -2. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*l = 37, 724*z + 35 = 727*z + l for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -2.3\nAnswer: 29.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -249.5 and 123.128.\nAnswer: -30720.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*(m*m*m\/(m*m**(-1\/2)*m))\/m*m)\/m**(-2\/9))**(-17))**(-1\/10))**(3\/17) assuming m is positive.\nAnswer: m**(67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 7*o**2 - 2*o + 9. Let w be i(7). Sort w, 5, 9 in decreasing order.\nAnswer: 9, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6532*j + 6543*j - 121 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 3*n + 3. Let d(z) = -3*z**2 + 4*z + 4. Let m(a) = 4*c(a) - 3*d(a). Let i(k) = k + k + k - 5*k. Calculate i(m(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, and 1 c when three letters picked without replacement from rmcccccmkbccmkm.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04 times 85555?\nAnswer: 88977.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**0*x))**(-19\/3)*(x*(x\/(x*(x*x**1)\/x))\/x*x)**(-33))**(-1\/4) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.86836 to two decimal places.\nAnswer: 23.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -36107\nAnswer: 1\/36107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-945)\/36))\/((-98)\/(-1323)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -4, -2, -47, -69\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:53 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 390 - 387. Let u(r) be the third derivative of 2*r**2 + 0*r + 0 + 2\/15*r**q - 1\/300*r**6 + 1\/60*r**4 - 1\/75*r**5. Factor u(l).\nAnswer: -2*(l - 1)*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867 a factor of 27403391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/3 + -54 + 2 + 1. Let t = z - -36. Is t\/(-18) + 1 + (-3368)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 6*u + 4. Let l be b(-2). Let n be (-5)\/(30\/l)*1. Factor 0 + 2\/3*y**2 - 4\/3*y**4 + 0*y + n*y**3.\nAnswer: -2*y**2*(y - 1)*(2*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m**2 - m - 2. Let i be 2\/((-1)\/(-4)*4). Is 23 a factor of o(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*x + 229, 3*s - x + 413 = 5*s. List the prime factors of s.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q**3 - 5*q - 15. Let i(a) = 9*a**3 + 2*a + 7. Let s(x) = -2*d(x) - 5*i(x). Differentiate s(y) wrt y.\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -411 - -375.6. Let k = -35.400147 - v. Round k to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 21*f + 22. Let x be q(-20). Suppose 2*o = 6*o + 3*l - x, -5*l = -3*o + 17. Calculate the greatest common factor of 99 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g - 129. Let f be q(-7). Let c = 82 + f. Calculate the greatest common divisor of c and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 g when four letters picked without replacement from raacrragcaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2175784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + 8 - -2*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + 0.48. Which is the biggest value? (a) 5 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1570 - 1567. Let c = -1 + -4. What is the remainder when (d\/(-6))\/(c\/540) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n + 1. Suppose -2*w = 2*i - 1 + 5, -4*w = -3*i + 1. Let z(k) = -3*k - 3. What is w*z(t) - 3*r(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 685 + -685. Suppose -3*h + 8*i - 4*i + 90 = y, 2*h - 3*i - 61 = 0. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*(g\/g**13)\/g)*(g*g\/g**(-2\/15))\/g*g\/(g*g*g**(-29)*g)*g\/g**(-13\/2) assuming g is positive.\nAnswer: g**(1459\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 346769497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -5, -1, 9 in decreasing order.\nAnswer: 9, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2*t + t - t + 4*t + 2*t - t - 5*t + 4*t + (-4*t + 3*t + 0*t)*(0 + 2 + 0).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 8825*n - 8826.\nAnswer: (n - 1)*(n + 8826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(1\/2)*b)*b))**(-2\/13))**(-46)*(b**(-2\/7))**(3\/2)*b**(-1)\/b**(2\/9) assuming b is positive.\nAnswer: b**(1546\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 2 - 2 - 6 + 6 - 5*x + (-1 - 2 + 1)*(-x - 3*x + 6*x) + 0 + 0 + x + 2*x + 2*x - 2*x + 0*x + 0*x - 2*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227.35 - -227.350010463. What is m rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-28))\/(75\/1400).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2)*(1 + -1). Suppose 3*q - 3 = 3*s, 1 = 3*q + s - 3*s. Is v at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a565d7 + 2?\nAnswer: -a565d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -13. Let v = r + 18. Let s = -10 - -6. Which is the third smallest value? (a) v (b) s (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4107.62 rounded to the nearest 10?\nAnswer: -4110","meta":{"dup_signals":{},"source":"numbers__round_number_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: b\"What is the zth term of -5853, -23529, -52989, -94233, -147261, -212073, -288669?\n\"Answer: -5892*z**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 33485, -12, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89\/238 + -3\/34. Let x = -6.6 - -3.9. Let d = x + 2.5. Which is the closest to n? (a) 0.6 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ab (base 15) to base 7\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 3*y**2 - 2*y + 1. Let z be c(2). Let n be (-23)\/(-4) + z*3\/12. Calculate the greatest common divisor of n and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f**2 + 28*f**3 + 21*f**3 - 64*f - 148*f - 136 + 20*f**4 - 7813*f**5 + 7814*f**5 = 0.\nAnswer: -17, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2956 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*z + 2. Let g be z\/4 - 815\/(-28). Let f = 30 - g. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43384921?\nAnswer: 227, 191123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65505357*x**3 - 173*x**2 - 271*x - 7 wrt x.\nAnswer: 393032142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2406766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605521?\nAnswer: 31, 67, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*k - 516 - 186. Is -7 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**4 + 0 + 2*f**3 + 3 + 2*f**2 + 0 + f**4 as k + g*f**2 + s*f**4 + i*f + b*f**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 8. Suppose 0 = i - a - 2 + 1, 2*a + p = 3*i. Suppose -n - n = -3*w - 182, -i*w = 3*n - 286. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013627 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 288*u**2 - 429*u + 21. Determine w(2).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1203182 + -615229. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 0 - (71 - 78). Solve i = -2*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - 0.12. Let t = 2.1 + -2. Let z = t + h. What is the third smallest value in -1, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 24 = -2*v, v + 2*r = -v + 12. Suppose 12*c - 75 = -3*c. Suppose -v*z = -c + 1. What is the smallest common multiple of z and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuovoouvmmxuuoumdx. What is prob of sequence mm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 143 + 5?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 5400 - 8004. Let f be h\/(-14) - (-32)\/56. What is the tens digit of -3 + 4 - (4 + 3 + f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**8\/6720 + v**7\/420 - 7*v**6\/720 + 41*v**4\/6 - v**2 - 47. Let g(u) be the second derivative of f(u). Factor g(k).\nAnswer: k*(k - 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*v = -19 - 25, 34 = 3*h + 2*v. Suppose 12 = 5*q - q. Solve 3*l = 3*y, -q*l - 5*y + h = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 311642548 and 2044?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*v - 8 - 15, -3*v + 4*p + 28 = 0. Calculate the highest common factor of v and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177744733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29158225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -97, -4\/11077, -5 in increasing order.\nAnswer: -97, -5, -1, -4\/11077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -757 = -4*k + 1475. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**10*y**(-10)\/(y**9\/y) assuming y is positive.\nAnswer: y**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.4 (b) -2\/123 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - 9. Let m be 25\/(-9) + 8\/g. Let i be (-1)\/m + (-2)\/(-3). Solve 5*h - 4*h = -i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 3*i**2 - 5*i + 3. What is n(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1210, 17716, 0.2?\nAnswer: 1210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 75 + 25. Calculate the highest common divisor of 10 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*c + 0*c**2 + 4*c**4 + 8\/3*c**3 + 4\/3*c**5 + 0 = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 - 10*v - 6. Let s = -12 + 13. Let l(z) = z**3 - z**2. Let n(k) = s*u(k) + 3*l(k). Factor n(p).\nAnswer: 2*(p - 3)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4348 - -5219. Is 59 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 11*i**3\/3 + i**2\/2 + i + 1. Let t be j(-1). Let c be (10 + 1)\/(-61 - -62). Calculate the highest common divisor of c and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -43 + 82 + 57 + 4 + 0?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1536 and 12?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/102 and (-2)\/(-22)*-12*5\/(-510).\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 1624858367?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 75*i**2 - 38*i + 20. Let l be u(-38). Solve -l*q - 17 = 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**5 - 420135*p**4 - 221*p**3 - 48920*p**2 - 665*p + 1?\nAnswer: -180*p**2 - 10083240*p - 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - y, -4*b + 3*y - 4*y - 12 = 0. What is the remainder when 76 is divided by 10 + b\/(1\/(-6)*4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + 0*s**2 - s**2)*(-5*s + 3*s + s)*(-19 - 19 - 7).\nAnswer: 135*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**4\/4 + s**3 - 5*s**2\/2 + 2*s + 11. Give i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683465547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 1677*r - 50610. What is m(-32)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/41119 and 111\/63260.\nAnswer: 822380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/126*(0 + (-84)\/(-36))*98?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -3 - (8 - (1 - -14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 195 and -144.1017?\nAnswer: -28099.8315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1*sqrt(833) - sqrt(833)) + 3*sqrt(68)*6)**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 9*w. Let n be f(20). Suppose -17*h + 103 = -n. Solve -3*l - t = h - 3, -5*l = 5*t + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r + 26. Let y be w(-4). Suppose -z = -4, -5*p + 44 + y = -z. What is the units digit of 8\/12 - p\/6*-59?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*a = 132*a + 80. Is 40 a factor of (-2136)\/a*(-25)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -17)*(-10)\/3. Let t(w) = -2*w + 2. Let h be t(-4). What is the highest common divisor of h and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11007 or 11009?\nAnswer: 11007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127 in -1, -5, -0.093?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18 - (-47)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(3 + 2*z - 3) + (z - 5*z + z)*(-6 + 5 - 22) to a*z + l and give a.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 4002226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1947088 to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 p when three letters picked without replacement from {w: 1, f: 1, t: 1, p: 3, h: 2, k: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)*b*b*b**(-27))\/(b**(-20))**(-19\/2) assuming b is positive.\nAnswer: b**(-429\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738.165g in milligrams?\nAnswer: 2738165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 79*s + 45*s + 36*s = 3, -g - 9 = -5*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2070 and ((-45003)\/(-1540) + -29)\/((-1)\/(-2))?\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1910723 and 279618.\nAnswer: 11464338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3923, -49, 1 in decreasing order.\nAnswer: 3923, 2, 1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**3\/4 + 65*x**2\/2 = 0?\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*x - 442*x + 25 = -53 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 2*l**2 - l + 2. What is the smallest common multiple of (-546)\/(-252) - (-10)\/12 and n(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5048 + 10105 - 30*r**2 + 2*r**3 - 5077 as v*r + h + b*r**3 + g*r**2 and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*p + 0*p - 69*p**3 + 13*p + (p**3 + 3*p**3 - 5*p**3)*(0 + 4 - 5) - 4 - 4*p**3 + 4 to b*p + r*p**3 + v*p**2 + l and give r.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t - 8. Let k(u) = -6*u + 6*u + 3*u + 4*u - 5. Suppose -31 = 18*x + 59. Determine x*v(s) + 8*k(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5666, -11331, -16992, -22649, -28302, -33951, -39596?\nAnswer: -45237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -370*a - 17 + 674*a + 51*a in the form n + k*a and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 25*w**2 - 44*w + 51. Let r be h(-23). Let d(v) = v**3 + v**2 + 2*v - 2. Let z be d(1). Sort 6, r, z.\nAnswer: z, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-6)*(r\/r**(-2\/3))\/((((r\/((r**(-1\/11)\/r)\/r))\/r)\/r)\/r)*(r**1*r)**6\/(((r*((r**(2\/7)\/r)\/r)\/r)\/r*r)\/r**(-6)) assuming r is positive.\nAnswer: r**(2146\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 0.3 (c) -392 (d) 0.5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 66*u**2 - 20*u + 324. Is s(14) a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*f - 12*f**4 - 2*f**3 - f**3 - 3 + 9*f**4 + 62*f + 3*f**2 + f**4 as s*f**2 + x*f + t*f**3 + b + r*f**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6225*k + 17 + 51 = -6293*k. Let q = 3 + -2. Put -10, 0, k, q in decreasing order.\nAnswer: q, 0, k, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 91688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (192\/64)\/((-6)\/(-127802)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/120 + m**4\/24 - 5*m**3\/6 - 6*m**2. Let k(p) be the first derivative of o(p). Give k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(-21372*c + 6 - 146 + 21371*c).\nAnswer: 4*c + 560","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + 4 + 4 - 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2147 divided by -43\nAnswer: -2147\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2) + 6 + -2. Suppose 2*x = -q*x + 650. Let i(t) = -t**2 + 82*t - 972. What is the remainder when x is divided by i(15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-12))\/((-58)\/(-522))*(-24)\/99?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146.89 + 146.85. What is the third biggest value in -8, v, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 98*a**3 - 2*a**2 + 5*a - 4. Is 7 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0\/(-3))*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 13693050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5, -0.26, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/19176 and 79\/24?\nAnswer: 19176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*3\/(-18)*(6 - 38). Calculate the remainder when 106\/14 + s\/(-28) is divided by 2 + -1 - -4*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r + 1\/28*r**4 - 2\/21*r**3 + 1\/14*r**2 - 27. Factor y(c).\nAnswer: c*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5670 and 538556445.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 16. Let t be x(12). Is (-318)\/t*10\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 488031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 220630871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -498243742, -498243746, -498243752, -498243760, -498243770, -498243782?\nAnswer: -498243796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670*n = -1030*n + 30600. Calculate the remainder when 830 is divided by n.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 - -91. What is the closest to 0.4 in -0.1, k, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34050 + 4203941.\nAnswer: 4169891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2557\/3404 + -1\/851. Let i = 0.1 + -0.1. What is the nearest to i in v, 0.2, -5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 639, 3 in increasing order.\nAnswer: -2\/9, 3, 639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((-3221)\/67641).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/476*1883 - (2268\/(-306))\/42\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (137*s**3 + 105*s**3 + 43*s**3 + 29*s**3)*(0*s - 3*s + 4*s) as v*s**2 + i*s**4 + u*s**3 + a*s + y and give i.\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/5 (b) 0.01 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 9*p + 2*l + 8 = 0, 4 = -p + 4*l. Solve -8*m - 9 = -7*m + 2*o, -2*o = -4*m + p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11066950 divided by -52450\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3293*f - 1099*f - 1095*f - 1101*f.\nAnswer: -2*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:11 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.35 minus -0.3?\nAnswer: 2.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9}. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 130 + -8?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-3773.3\nAnswer: -377.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (7 + -20)) + -11\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -1\/3, 2\/5, 80?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o + 6. Let s(t) = 82*t - 6*t**2 + 113 + 2*t**2 - 12 + 7*t**2. Let c be s(-26). Let l(x) = -4*x - 7 + 0 + 0*x. What is c*k(b) - 2*l(b)?\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 28, 30, 32?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3400))\/(sqrt(6)\/(sqrt(15)\/sqrt(5))) + 5.\nAnswer: 5 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -64*p + 771. Let i be c(12). Let m(z) be the third derivative of -6*z**2 + 0*z + 0*z**i - 1\/6*z**4 + 0. Let g(f) = 3*f**2. Determine m(g(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus -634290587?\nAnswer: 634290599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12777451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 3, e: 1, q: 1, w: 1}. Give prob of sequence re.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.07378 millilitres to litres.\nAnswer: 0.08307378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13170 and 434250?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 626570 to the nearest ten thousand.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 5. Give g(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-1) - 3) + 2. Let a = 4 - r. Let q = 2 - a. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -99*u - 1557. Determine w(-16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12424 + 124104?\nAnswer: 140532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398471154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7009.85 from 1.\nAnswer: -7008.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115.186 - 0.186. Let t = -125.6 + y. Let k = 10.7 + t. Which is the third smallest value? (a) 0.5 (b) k (c) -1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -24. Suppose -3*f = k*a - 20, -2*f + 7 + 13 = 4*a. Solve a*m = -2*h - 30, -m = -4*m + 3*h + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1260 and 41\/224.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(60) - (sqrt(60) - 3*sqrt(7260)) - sqrt(60))\/(sqrt(240)\/sqrt(5)).\nAnswer: -4 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3 + 938355*o**2 + 73383817536*o + 1247253728256 = 0.\nAnswer: -156384, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 34. Let l = 146 + n. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18810 = 873*f + 172*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a*a**(-5)*a)*a)\/a*(a\/a**(-1\/3))\/a*a)**1*(a*a*a**(-2\/5)*a)\/a*a*a\/((a*a*a*a*a**(-2\/5)\/a)\/a)*(a\/a**1)\/(a*a\/(a**7*a*a)) assuming a is positive.\nAnswer: a**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -15.2. Let r = p + 0.8. Let k = 0 - r. Which is smaller: k or 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 606, -3, 13565, 4 in descending order.\nAnswer: 13565, 606, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x**2 + 3515 + 3518 - 14*x - 7019. Let z(s) = -5*s**2 - 5*s + 5. Suppose -3*v - 3*g = -0*v - 12, -2*g + 2 = 0. Determine v*o(b) - 8*z(b).\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -84*p - 3. Let j(l) = 85*l + 4. Determine -5*j(q) - 6*r(q).\nAnswer: 79*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, u: 2}. Give prob of picking 3 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 25*l**2 - 9*l + 228. Let z be o(25). Sort 41, z, -1 in descending order.\nAnswer: 41, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = -3*r, -1038959*p = -1038954*p - 5*r - 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 5*f**2 - 8*f + 1. Give q(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3 + (0 - 1 - 8)*(11 + 5 - 3))*(11 + 6*w - 11) to m*w + g and give m.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21956 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 4*p - 5*p - 5*p + p + 2*p + (-2*p - 4*p + 5*p)*(-1 + 2 - 2) - 4*p + 0*p + p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z - o + 6, 5*o = -z + 26. Suppose -2*h + 5*p = h - 30, 2*p - 4 = -2*h. Let m = h - z. Put m, -3, 5 in increasing order.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.66 - -0.34. Let l = -1053 + 6319\/6. Which is the nearest to p? (a) l (b) -0.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61396463 to the power of 1\/2, to the nearest integer?\nAnswer: 7836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d - 2*d - 3*d)*(-33*d + 0*d + 0*d) + 78*d**2 - 130*d**2 + 55*d**2 + 57*d**2.\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k**2 - 4*k**2 + 3*k**2. Let u(v) = 8*v**2 + 5*v. Let j(q) = 4*q**2 + 2*q. Let h(r) = -5*j(r) + 2*u(r). What is h(t(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.6 - -59. Which is the closest to -1? (a) d (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 350050?\nAnswer: -350044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*t = -8*t + 28030, 4*x - 37380 = -5*t. Round x to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3 - 746*s**2 - 732*s + 4464 = 0.\nAnswer: -372, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**2. Let u(i) = 28*i**2 - 1. What is u(g(r))?\nAnswer: 1008*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4824 and 25904?\nAnswer: 15620112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -17, 5182 in decreasing order.\nAnswer: 5182, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15*o**2 - 750*o + 113. What is q(-52)?\nAnswer: -1447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 640711 - 689353.88. Let a = 48643.1960149 + z. Let r = 0.316 - a. What is r rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189495 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1578)\/36 - (-67)\/((-26532)\/462)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 2 - 1 - 7*w + 3*w. Let d be u(4). Suppose 0 = -4*s + 11 + d. Solve 0 = -4*p - s*v + 2, 7 + 1 = 5*p + v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/301 - 8152\/1505. Find the common denominator of -34\/21 and f.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979907683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 3*m - 5*k - 51190, 0 = -m - 5*k + 17070. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68, 96, 100, 68, -12, -152, -364, -660?\n\"Answer: -2*m**3 + 42*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 8. Let d be 2 - (3 - (g + 0)). Suppose d*k - k = -113. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - s - 2 + 0 + 2*s + 4 as l + k*s**2 + y*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.018, -6903 in increasing order.\nAnswer: -6903, 0.018, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2 (b) 13 (c) 1\/10 (d) 1164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + -2 + 3 + 1. Let d(z) = z**2 - z + 6*z - 1 - 1. Calculate d(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5152611 (base 8) to base 6.\nAnswer: -45133121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16901 = 5917. Suppose 3*s + 319 = p. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.22626 years in millennia?\nAnswer: 0.07822626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -165\/4*f**4 - 170 + 3\/2*f**2 + 6*f**3 + 0*f. What is the third derivative of r(o) wrt o?\nAnswer: -990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2)*j**(4\/7))\/(j**11*j*j*(j*j*j\/j**8)\/j))**(22\/3) assuming j is positive.\nAnswer: j**(-913\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19505, -155319, -523743, -1241081, -2423637, -4187715?\n\"Answer: -19384*h**3 - h**2 - 123*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1618\/7 in 1\/5, 5\/5814, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160729076*u**2 - 10493163*u?\nAnswer: -321458152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k + 2. Let d be (-13)\/((-4017)\/(-12)) - 0. Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866610?\nAnswer: 2, 3, 5, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114 a factor of 753207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28 + 0.41. Let n = 0.17 + j. Let l = 10 - 8. Which is the biggest value? (a) l (b) 3\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456209 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.97717 and -37.43.\nAnswer: -31.45283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*n**5 - 11885*n**4 - 62986*n?\nAnswer: 500*n**3 - 142620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36602.3 take away -0.336?\nAnswer: 36602.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/(-100) - 668\/(-10). What is the highest common divisor of g and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -f. Let m(a) = -5*a**2 + 9*a - 4. Let w(i) = 4*i**2 - 8*i + 4. Let g(k) = 3*m(k) + 4*w(k). Determine g(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -w. Suppose 0 = 2*l - 0*l. Suppose l*j + 2*j - 2*n - w = 0, n = 3*j - 3. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c**2. Let b be u(-2). Let z be 2\/((-2)\/(6 + -7)). Let n be 12\/(-2) - (z - 6). Sort 5, b, n in decreasing order.\nAnswer: 5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14)**(-18)*(i**(2\/17))**(5\/2) assuming i is positive.\nAnswer: i**(-4279\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -37. Let v(t) = 3*t - 3. Let j be v(a). Let u = -21 - -21. Sort j, 4, u in descending order.\nAnswer: 4, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 509 and 2059860.\nAnswer: 2060369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*j**2*k**3 - j**2 + j*k**2 - 29*j*k - 36*k**5 wrt k?\nAnswer: 102*j**2 - 2160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 2\/3 (c) -90 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.053 and 327.\nAnswer: -17.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 328128*f + 13458498048.\nAnswer: 2*(f + 82032)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -739*m + 224. Does 47 divide f(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h - 42*h = -36 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-3) + 0\/1. Suppose -c + j*s + 6 = 0, c - 2*c = 2*s - 31. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4, -12, -6\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 30 = 5*z. Solve h - z = 4*u, -2*u - 5*h + 8 = -0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90707 divided by 2?\nAnswer: -90707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -2\/51, 2\/37, 7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 17*h**2. Let g(u) = -u**2 - 2*u + 9. Let r(q) = 2*q - 22. Let f be r(11). What is the remainder when l(-1) is divided by g(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e7 - 0?\nAnswer: 4e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*n + h - 3, -h + 17 = 4*n. Let v(o) be the first derivative of o**3\/3 + o**2\/2 - 3*o + 8. What is v(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/30*2*1\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7186 + -7183. Solve -15*o + 36 = -i*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 23*u. Let i(n) be the third derivative of 0*n**3 - 1\/24*n**4 - 24*n**2 + 0*n + 0. Calculate k(i(h)).\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -162*y - 9297. Give i(-57).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67793?\nAnswer: 11, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6) - (-26)\/(-52). Suppose -16*z + 15*z - 707 = -5*c, m = -4*c - 4*z + 580. List the prime factors of c.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c1 (base 13) in base 14?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -841705 + 841705 + 14*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 295*p - 6469. Give q(22).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c + 11*c + 30. Let l = c - 1. Suppose l*d - 1647 = -4*p, 0 = d - p - 384 + 51. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067010 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 2*o - 2*o + (0*o**2 + 3*o**2 - 2*o**2)*(2 + 1 - 2) + 3*o**2 - 4*o**2 + 5*o**2 + (0 + 0 - 2)*(-2*o**2 + 8*o - 8*o).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:21 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -750, -7, -2, -0.1?\nAnswer: -750","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**7\/21 + 8*o**6\/3 + 101*o**5\/2 + 805*o**4\/3 - 4900*o**3\/3 + 2744*o**2 - 22*o + 1. Factor k(z).\nAnswer: 2*(z - 1)**2*(z + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 139, 399, 815, 1381, 2091, 2939?\n\"Answer: -m**3 + 84*m**2 + 15*m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)*s*s\/(s*s**(1\/6))*s)**(6\/13) assuming s is positive.\nAnswer: s**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7251486*s**4 - 27062147*s**2.\nAnswer: 174035664*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 + 7*p**3 - 7 - 8*p**3 - 82 - 27 to c*p**3 + a + j*p + v*p**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/5, -109, 5 in decreasing order.\nAnswer: 5, 0.5, 2\/5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 10:28 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 1\/60*g**5 - 17*g**2 + 0*g + 0*g**3 + 0*g**4 + 0. Let n(i) = i - 3*i + 12*i. Determine c(n(j)).\nAnswer: 100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30414420 (base 5) to base 7.\nAnswer: 2052232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 1376.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 24481.68 grams?\nAnswer: 24481680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 7. Let h(l) = -3*l - 1. Let q(m) = m. Let d(b) = -h(b) + q(b). Is d(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -855 + 1230. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + j. Let d(s) be the third derivative of -7*s**5\/30 + s**4\/4 - 256*s**2. Give d(b) - 6*o(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2\/2171, 39.54 in decreasing order.\nAnswer: 39.54, 1\/7, 2\/2171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 15, 13, -3, -39, -101, -195?\n\"Answer: -d**3 + 2*d**2 + 7*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3465*s**2 - 3459*s**2 - 75*s**3 - 101*s**3 + 6924*s**2.\nAnswer: -176*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {a: 2, i: 16}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 10:36 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 11*a - 9. Let d be s(12). Suppose y = -4*t + d, -3*t - 4*y - 16 = -t. Let g(n) = -1 - 29*n + 29*n + t*n**2. Calculate g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 50. Suppose 3*a - 177 + 44 = 4*h, 4*h + f = 0. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l + 17. Let x = -10 + l. Solve -8 = -x*f + f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*q - 23*q + 148*q = -1287 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000109391 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12576426 rounded to 5 dps?\nAnswer: -0.12576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 43*d**2 - 8. Let g(q) = 14*q**2 - 3. What is 8*g(j) - 3*p(j)?\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) + -1 + -2. Let s(v) = -v**3 - 3*v**2 + 4*v + 1. Let o be s(l). Is -2\/15 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/10))**(-2\/119)\/(b**(2\/21)\/b)**(13\/3) assuming b is positive.\nAnswer: b**(21022\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100110 - -11000000?\nAnswer: 10110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Solve 3*z - 10 = 2*j, 4*z + g*j = -0*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.535 + -0.1?\nAnswer: -0.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507157 is divided by 126719.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -12. Let c(g) = -g**3 - 10*g**2 + 8*g - 13. Let r be c(-11). Let w be (-4)\/r - -3 - 3. What is the second biggest value in w, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:50 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olqhthq. What is prob of sequence ht?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374135667.\nAnswer: 3, 937, 133097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 6 + (4 + -8 - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i = 6. Suppose 3*w = -8 - 4, n = -5*w + 6. Suppose 0*v = 3*g + 4*v - n, -2*g + 3*v - 11 = 0. Solve g*f + 1 = i*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1058, 2097, 3134, 4169?\n\"Answer: -i**2 + 1042*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22813, -45622, -68425, -91222, -114013, -136798, -159577?\n\"Answer: 3*m**2 - 22818*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 764326563 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Let y(q) = -q**2 - 4*q + 4. Let z = -11 + 8. Let i(d) = 3*d - 3. Let c(o) = z*y(o) - 4*i(o). What is c(l(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4803, 19261, 43481, 77571, 121639?\nAnswer: 175793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {y: 1, a: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -17.3. What is w rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -90, -336, -734, -1290, -2010, -2900?\n\"Answer: -d**3 - 70*d**2 - 29*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/4 - 0\/1. Suppose -4*n = -f*n - 96. Let d = 69 + -60. Solve 0*m - d = s + 4*m, 4*s + n = -4*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*((sqrt(320) - (sqrt(320) + -2)) + -3))**2 + 0 + -3*(-1 + sqrt(1280)).\nAnswer: -48*sqrt(5) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -519.98199 rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or -0.866?\nAnswer: -0.866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111021 (base 5) to base 15\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4*27\/108)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (36 - 146) + 56?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**4 - 17*p**2\/2 - 12. Find the second derivative of i(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3702*v + 89*v - 465*v + 743*v.\nAnswer: 4069*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -308\/5. Let j(u) = -u - 14. Let l be j(-10). Which is the nearest to n? (a) 2\/3 (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 62\/9 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-126))\/(8\/18)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -327\nAnswer: 163.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 4*z + 8, 19 = 4*q + z. Suppose -g + 3*g + 10 = 0, q*w = 5*g + 25. Suppose w = o - 30247 + 600247. Round o to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 + 20*a + 3. Give s(-7).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 141, 283, 421, 555, 685, 811?\n\"Answer: -2*n**2 + 148*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*v - 2*s, s = -4*v + 18 + 10. Suppose v = 2*l + 2*l. Let i(q) = 10*q**2 + 10*q**2 - 15*q**l. Let h(j) = -2*j**2. What is h(i(c))?\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 56. Let s = 8 + -5. Suppose -m*u = -3*u - s*d - 14, -4*d + 165 = 5*u. What is u rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(112\/12))\/((-162)\/(-96))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let k = 200 - 204.11. Let r = k + 0.11. What is the third biggest value in 5, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*y - 12*y. Let k = -11 + 19. Suppose k*d - 29 - 43 = y. Calculate the remainder when d is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - 3*n**2 - 4*n**2)*(5*n**3 - 5*n + 5*n) + n - n**5 - n.\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 1 - 2*s**2 - 2*s**2 - 17*s**2 + 15*s**2.\nAnswer: -5*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**3 + 3*w**3 + 2*w**3)*((-4*w + 0*w + w)*(0 - 4 + 2) + 5*w - 5*w - w) as g*w + i*w**2 + x*w**4 + q + f*w**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 7*n - 92 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f - 2. Let h(u) = -10*u + 27. Let j(c) = 10*c - 22. Let m(s) = -4*h(s) - 5*j(s). Calculate -5*m(z) - 6*r(z).\nAnswer: -10*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*h + g, 4*h + 4*g - 5 = -g. Let l(k) = k + 37. Is l(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51851, 103688, 155541, 207422, 259343?\nAnswer: 311316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {m: 8, z: 10, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 c, and 1 u when four letters picked without replacement from qffseccffuqcequeseqc.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1413327 divided by 471109\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 9*l**2 - 8*l + 22. Let r(y) = -2*y + 34. Let d be r(22). Let v be j(d). Let z(a) = -31*a**2 - a**3 - v + 33*a**2 + 2*a - 1. Determine z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*b + 3*b. Let a be 1*b + (-13)\/(-26). Let x = -3.6 - -1.6. What is the second smallest value in a, x, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1870335 * 0.5.\nAnswer: 935167.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28039998 divided by 4673333?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*s + 10*c - 11*c, -2*s = c + 1. Let i = 0.2 + 0.8. Let p = i - 2. Is s less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 14 = -3*g - 2*k, 0 = -g - 2*k + 10. Let y(n) = -16*n**3 + 1 - 1 + 4*n + 15*n**3 - 2*n**g. Give y(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let h(l) = 9*l - 3*l + 0*l - 2 + 3*l. Let q(g) = -2*d(g) - h(g). Let c(k) = 279*k - 81. Let p(s) = 2*c(s) + 81*q(s). Let i(b) = -b. Give i(p(x)).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 170\/12173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*i + 10, -761 = -3*q + 3*i - 746. Solve 3*x - q*n - 40 = 0, 0*x - 3*x - 3*n = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 6*d**2 - 4*d + 4. Let q(x) = -x**3 + 5*x**2 + 3*x - 3. What is -3*l(y) - 4*q(y)?\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -106, 1329, 2, -1, 6?\nAnswer: 1329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r + 6*r - 287*r**2 - 3*r + 286*r**2. Let o(i) = -22*i**2. What is f(o(w))?\nAnswer: -484*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.472 grams in nanograms?\nAnswer: 762472000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 288, 247, 182, 87, -44, -217, -438, -713?\n\"Answer: -m**3 - 6*m**2 - 16*m + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 14 = -20. Let p = -11 - g. Let r(t) = t - 5. Let q be r(p). Sort 0, q, -3 in ascending order.\nAnswer: -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12*6)\/((-2)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:33 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3 + 2 + 3*f - 5*f. What is n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 52 = t + 37, 0 = 3*k + 6. Suppose b + 0*b - 18 = -3*s, -4*s + 4 = 0. Suppose -t + b = q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/5 - 16*w**4\/3 + 77*w. Let x(p) = 0. What is p?\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 72 - 45)*((-2 + 2 + 2)*(1 - 1 + 2*a) + 3*a - 7*a - 9*a).\nAnswer: 1404*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5466 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 + 1. Let s = l + 0.63. Let n = 0.43 - s. What is the smallest value in -3\/8, -0.3, n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-1 + 43 + 136 + -149).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36663521 divided by 101561.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 234621877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 106*q**3 + 254*q**2 - q + 582. What is the second derivative of x(t) wrt t?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50714 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (22 + -15 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let c(y) = -y**3 - 11*y**2 - 10*y + 9. Let l be c(-10). What is the highest common divisor of l and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.146655 rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 divided by -131?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656.4114 centimeters to kilometers.\nAnswer: 0.006564114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 4*l + 4*l)*(3 + 686*l**2 + 2 - 389*l**2) to h*l**2 + v*l**3 + m + k*l and give v.\nAnswer: 1485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 874.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 2877*b - 248661. Give f(-84).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 9*h**2 + 26*h - 6. Let k be f(3). Is k equal to 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/12 + -12)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18)**(6\/37)*(r**(1\/2)\/r)**2 assuming r is positive.\nAnswer: r**(71\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8 + 5 + 19 - x + 1. Let o = 4 + 1. Calculate the remainder when b(15) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-228)\/(-304)*(-64)\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c92 + -2?\nAnswer: 3c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 - 3 = 0. Suppose -r - 17 = -6*r - 3*j, 0 = -r - 2*j + 2. Suppose 2*m = r*h + 2, -3*m - 2*h = h - 21. Solve m*z + t = -3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*k - 13*k - 165 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) -0.2 (b) 5 (c) -3\/5 (d) -2.74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*s + 16, 5*b + 0*s + 5*s - 25 = 0. Suppose b*j - 2*j = 128. Calculate the remainder when j is divided by 66\/3 - (-1 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggzgggzqgqg. Give prob of picking 2 g and 2 q.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. What is the remainder when 29 is divided by (-464)\/(-56) + o\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 160*a = 58*a - 3780 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4\/4 - 3*g**3 + g**2 - 11*g - 17. Let t = 41 + -32. Calculate l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321.948 decades to years.\nAnswer: 3219.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1551.75647 - 0.\nAnswer: 1551.75647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/210 and -19\/735?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5911.\nAnswer: 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 3*i - 1. Let n be f(2). Let q = -2 - n. Sort -0.1, 3, q in increasing order.\nAnswer: q, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 16. Suppose 4*z + 2 = -l*z - 2*d, -z + 7 = -2*d. Calculate the remainder when 3 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51, -49, -45, -39?\n\"Answer: u**2 - u - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 32 = 2*t, 1 + 8 = -t - 4*o. Let w = t - 7. Calculate the remainder when 14 is divided by (-2 + w)*1 - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 + 0*x**2)*(2*x**2 - 2*x + 2*x) + (0*x**2 - x - x**2 - x**2)*(-x - 2*x**2 + x).\nAnswer: 2*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2. Let m(j) = 15505*j**2. Give o(m(q)).\nAnswer: 480810050*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4533*q - 99. Let z be f(-7). Suppose 11*o = 43421 + z. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.099 + -66.901. Let x = s + 14. Let v = -52.9 - x. What is the nearest to v in -4, 4\/5, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -137*z - 1609. What is the remainder when 242 is divided by b(-12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**4\/24 + d**3\/2 + 2*d**2. Let m be w(-4). Let h = 2 + m. Is h bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*r + 7 + 12, -21 = -2*r + 5*i. Let f be 3*(-5 + (-8)\/r). Let z = -4 - -4. Which is the fourth biggest value? (a) f (b) -2 (c) z (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6449714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -8216\nAnswer: 15\/2054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2, -2*f - 387 = -5*o + 133. Let w = f - -404. List the prime factors of w.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2282 * 128.\nAnswer: 292096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 6*b. Let x = -3 - 21. Let i = -19 - x. List the prime factors of a(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d - 4*q - 12, 17 = -3*d - q. Let z(c) = -c**3 - 7*c**2 - c + 3. Let m be z(d). Suppose 2 + m = 4*i. Solve y - 1 - i = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17757231.\nAnswer: 3, 17, 348181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 + -64. Let y = 60.92 - v. Let q = y - 2.92. What is the smallest value in 0.3, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608.0429 rounded to the nearest ten?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 67*m - 248. Let c be d(-63). Solve 2*j - 5*a - 1 = c*j, j = -5*a + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let j(m) = 5*m**2 + 6*m + 3. Let k(x) = x**2 + x. Let g(u) = j(u) - 6*k(u). Let b(p) be the first derivative of g(p). Calculate b(d(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3.24. Let k = a + 0.2403. What is k rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bttb when four letters picked without replacement from {b: 6, t: 2, u: 3, y: 3, h: 2}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -28. Solve -m*y + 3*y - 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00525611 to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1124200 - 2021?\nAnswer: -1131221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 x when four letters picked without replacement from xddddddxxdddxxdd?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 21. What is the units digit of (l\/3)\/(-1)*13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**8\/336 - y**4\/24 + y**2\/2 - 4. Let z(d) be the second derivative of v(d). Find the second derivative of z(a) wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 + (-8970)\/(-65) - (-506)\/(-26)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.2. Let q = -26 + 31. What is the closest to 0.3 in 4, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 + 12129*i\/4 + 350217.\nAnswer: 3*(i + 119)*(i + 3924)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 113*q**2 + 64*q + 415. Give n(-57).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 10. Suppose 0 - w = -2*b. Let k(y) = y - y + y - b + y**2. What is k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -186, -415, -804, -1407, -2278, -3471?\nAnswer: -5040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 152 + 440 = -2*w, -4*w = -8. Let i = y + 152. Solve i*v = -2*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -20*d + 16*s, -24*d = 19*d - 44*d + 5*s + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5014270421 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 167*y\/4 - 83667.\nAnswer: (y - 501)*(y + 668)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.036? (a) 2\/21 (b) -651 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 37 - 21 - 310*a + a**3 + 308*a - 6*a**2. Let s be n(6). Solve -5 = 3*k + b, 2*k - 4*b + 26 = s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**32\/(p*((p\/((p\/(p*p**(-1)*p))\/p))\/p)\/p))**(-19\/4) assuming p is positive.\nAnswer: p**(-589\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 6*q**2 - 6*q**2. Let u(y) = y. Let o(f) = -5*f. Let d(p) = -o(p) + 4*u(p). What is c(d(s))?\nAnswer: 162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11567813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-20)*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*u + 29. Suppose r - u = -r. Solve -4*n - r = -0*v - v, -4*n + 2*v + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**5\/20 - t**4 - 5*t**3\/3 + 5*t**2 + 2*t. Let j be w(-11). Which is the third smallest value? (a) j (b) 29 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -69. Suppose r*g = 20*g + 14. Suppose -v + g = v - 2*j, -5*j = 4*v + 17. Solve v*u + 6 = -0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203698 (base 10) to base 9.\nAnswer: 340371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 130.14 and -7.\nAnswer: 123.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbyvtbbb. Give prob of sequence vty.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -0.391957 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 35*c = -2208. Let l be -1*2 + (-23)\/(c\/16). Is -37\/12 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*a + 2905, -1162 = -2*a + 2*s + 3*s. List the prime factors of a.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tiz when three letters picked without replacement from titiztitzt?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*l - 17 + 86*l - 5*l + 2*l**2 - 6*l - 11*l as o + f*l + d*l**2 and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15131 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/((-5)\/3 + (-8)\/24). Let j(m) = 11*m**2 - 259*m**i - 82*m**2. Let c(a) = a**2. Calculate c(j(d)).\nAnswer: 108900*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(25\/((-50)\/3)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/156, 0.1, -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*6\/(-36)*(4 + -31). Let l be (4\/(-28))\/(g\/21). What is the nearest to 1\/11 in l, 1\/6, 7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + (-1*sqrt(72))\/sqrt(4)*-5 + -2))**2.\nAnswer: -150*sqrt(2) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.3. Let w = -52 + 51. Which is the nearest to x? (a) -2 (b) 6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -23.8. What is the smallest value in -1, 8, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - 2.98. Let n be (-12)\/(-8)*12\/(-63). What is the second smallest value in d, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2268)\/(-3069) + (20 - 5198\/253)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032735927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 152*a**2 - a. Let n be s(-1). Let h = n - 55. What is the units digit of (-15)\/10 + h\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7452 is divided by 310?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -260 in ascending order.\nAnswer: -260, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*s - 22 + 27. Sort s, -8, -3 in decreasing order.\nAnswer: -3, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*j - 322. Let v = 1059\/7 + j. Factor 2\/7*m**3 - v*m + 4\/7*m**2 - 4\/7.\nAnswer: 2*(m - 1)*(m + 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.35 + 3.93. Let c = 0.08 - j. Put 1\/5, c, 5 in increasing order.\nAnswer: 1\/5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7923653?\nAnswer: 43, 184271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-270))\/((-3)\/(-30)). Let o(m) = m**3 - 4*m**2 - 3*m - 7. Let t be o(5). What is the smallest value in i, t, 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 1. Let z(v) = -4*v**2 - 5. Let k(m) = 5*x(m) - z(m). Let t(f) = 4 - 5 + 1 - 2*f. Determine t(k(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -7*m**2\/2 - m + 1. Find the first derivative of l(g) wrt g.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i + 4. Let z(l) = 5*l - 1. Let t be z(i). What are the prime factors of t + -2 - 0\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 58, 2, -8 in ascending order.\nAnswer: -8, 0, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.415640178 rounded to 4 decimal places?\nAnswer: -2.4156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-34)\/4)\/(1\/4). Let c = -4 + -2. Let o be t\/c - (-8)\/(-12). Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 - 369307*o**2\/5 - 1477216*o\/5 - 1477212\/5.\nAnswer: -(o + 2)**2*(o + 369303)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + 18663.212.\nAnswer: 18711.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2\/211, -2\/15, -5, 3, -1\/5?\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n**3 + 6*n. Suppose 3*k = -y - 2 + 1, 4*y = 3*k + 11. Let v(s) = -s**2 - 2196*s - 38*s**3 + 2179*s + s**y. Determine -17*t(f) - 6*v(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a + 2. Let d be q(-4). Sort -3, 5, d, 0 in decreasing order.\nAnswer: d, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9411503 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9162 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 3*p**4 + 4*p**4)*(0*p - 2*p - 2*p) + (-3*p + 2*p**4 + 3*p)*(2*p + 0*p - 5*p).\nAnswer: -14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 7, -3, 38, 1622, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/24 + i**3 + i**2. List the prime factors of f(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) -0.067 (c) -15 (d) -2 (e) 19.68 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71.98 + -72. What is the nearest to 1 in i, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 345, -5.\nAnswer: -6, -5, 3, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 42 = 4*v, 11 = 2*s - v - 66. Let r be s\/14 - (7 - 4). Let a = 1.2 + -1. Sort r, 0, a.\nAnswer: r, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/h**(-1\/3))\/((h**(2\/19)*h)\/h*h\/(h**(2\/13)\/h)*h)*((h*h**5)\/h*(h*h*h**6\/h)\/h)\/(h**0)**(-11) assuming h is positive.\nAnswer: h**(11398\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 9*a**2 - 9*a + 11. Let c be f(8). Solve 3*t + 9 = 0, 2*h + c*t = -15 - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**10\/r*(r\/(r*r*r\/(r*r\/(r\/(r*r**(-4\/7))*r))*r)*r*r)\/r*(r**6)**20 assuming r is positive.\nAnswer: r**(892\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1045, -1051, -1057, -1063, -1069?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-1) - (-1370204)\/(-22990)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:02 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/13, -0.2, 2, 5\/3, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 38*y + 44*y - 10 - 137*y + 32*y + 29*y. Give j(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 9*q**3 + 6*q**3 + 2*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(612) + 0 + 4)**2 + ((-2 + sqrt(612))*2)**2)*3.\nAnswer: -144*sqrt(17) + 9261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -1\/6*x**4 + 0 - 5*x**2 - 2*x**3 + 20*x. Find t such that o(t) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.2439 + 0.0861. Let f = -1.67 - k. Which is the third smallest value? (a) 2 (b) 0.2 (c) 3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -18. Let y(g) = g**2 + 9*g - 7. Let x be y(k). Solve 0 = x*d + 1 + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 - -2 - 4 - (58 - 65) - -73)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 81\/(-84)) + -2. Let i = -5\/4 + g. Which is smaller: 10 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6066432*k**4 + 709*k**2 - 18*k - 107 wrt k?\nAnswer: -145594368*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 17*c - 20*c. Suppose 0*b = -2*w - 2*b + 4, -5*w - 2*b + 10 = 0. Let x be (0 + w - 0)*c. Is x at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/84 - (-6)\/21. Let h = 12.8 + -14. Let s = 0.2 + h. Which is the nearest to s? (a) r (b) 5\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 4, p: 3, g: 1, n: 2}. What is prob of picking 1 n and 1 e?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b + 5*b**2 - 15*b - 11*b - 10 - 18*b. Let u(o) = -2*o**2 - 3*o + 14. Let v be u(3). Is i(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 2880046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675b4c (base 14) to base 4.\nAnswer: 31121113320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - i - 21 = -7, 0 = -5*u - 5*i - 10. Is 880\/5 - (0 - u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 0*i + 143*i**2 - 148*i**2 as f*i + n*i**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = -14 + 74. What is the third smallest value in 4\/5, 0, -2\/7, r?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by -27.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-126)\/(-27)*500*1344. What is c rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 17*c**2 - 81*c + 306. Let w be d(11). Calculate the greatest common divisor of 75 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 8*n**2 + 2*n - 17. Let i be h(8). Let g(v) = -v**2 - 2. Let x(o) = -o**2 - o + 1. Calculate i*g(t) - x(t).\nAnswer: 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x. Let k(m) be the second derivative of m**6\/180 - m**3\/6 - 2*m. Let h(c) be the second derivative of k(c). Determine h(g(l)).\nAnswer: 242*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - y. Let j(i) = -59*i**2 - 10*i + 10. Let l(k) = 6*k**2 + k - 1. Let v(r) = j(r) + 10*l(r). Let t = 2 - 0. Calculate t*q(c) - v(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 16, e: 3}. Give prob of picking 2 e and 1 n.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and -2886.\nAnswer: 7792.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 12) to base 10.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10233 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.3 plus -87761447?\nAnswer: -87761437.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 21692 (c) -2\/11 (d) 2\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xssl when four letters picked without replacement from {l: 4, f: 6, x: 2, s: 6}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 96 in 1\/5, -94, -1\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -10, -21, -69 in decreasing order.\nAnswer: 5, -1, -10, -21, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w - 12. What is the smallest common multiple of s(-6) and 10 + 5 + (-11 - 0) + 112 - -4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26156 and 7852?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - ecb8d?\nAnswer: -ecb8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 40. Suppose -9*w + g + 17 = 0. Suppose -2*b = -w*v - 8, 0 = -0*b + 3*b + 3*v - 12. Solve -l = b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)**0\/(u\/(((u**(-1\/3)*u)\/u)\/u))**33)**(-41) assuming u is positive.\nAnswer: u**3157","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(12\/7)*w)**(-20\/7)*w**(-4\/5)*w*w\/((w*w\/(w\/((w*w\/w**(2\/63)*w*w)\/w)))\/w*w) assuming w is positive.\nAnswer: w**(-23204\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -29*v**2 - 124*v. Let w(k) = -19*k**2 - 82*k. Determine -5*d(l) + 8*w(l).\nAnswer: -7*l**2 - 36*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/70)\/(1\/2))\/(1\/(-35))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094425039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from ccvpvsvpvvcpsppvv?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*sqrt(176)*1 + sqrt(110)\/(sqrt(10) - (sqrt(250)*-2 + sqrt(250))).\nAnswer: -1 + 145*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13405149*x**4 + 26622*x**2 - 222 wrt x?\nAnswer: 321723576*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 706191*t*z**2 - t*z - 101961*z wrt z.\nAnswer: 1412382*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 8*w + 7. Let t be h(-5). Suppose -4*j - 10 - 18 = 0. Let c = t + j. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -100888387291 and 71.\nAnswer: -100888387220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12*(44\/8 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6307 is divided by 901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59, 292, 1237, 3070, 6085?\n\"Answer: 49*r**3 + 3*r**2 - r - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 1. Let v be i(0). Which is smaller: 2\/9 or v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 1 - x - 6*x. Suppose 0 = 4*c - 19 + 23. Let r be z(c). Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Suppose 2*k + 0*k - 2 = j. Suppose -2*f + 3*x + 1 = 0, 3*x + k = 4*f - 4. Solve 2*o = -2 - f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 29. Let d(o) = -5*o + 9. Let m(b) = -b + 2. Let a(t) = -2*d(t) + 9*m(t). What is q(a(f))?\nAnswer: -f**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r - 4. Let u be 3 - (-24)\/(-4) - -11. Suppose l - u*l = 0. Solve k + r*j - 1 = -j, -k - 2*j + 1 = l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/((-1)\/3). Let g(t) = -1 + 3 - t**3 + w - 4*t + 5*t**2. What is the units digit of g(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = p. Suppose 3*z - 15 = 0, -3*t + p*z - 6 = -2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 30 + 15 - 69 + 24.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 3*l**2)*(1 + 0*l + 0 - 2*l).\nAnswer: -6*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -1\/10 (c) -73 (d) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1111 + -1098. What is the highest common divisor of 325 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n - 10. Let z(i) = -1336*i - 8. Let v be z(-3). Suppose v = -g - 0*c + 3*c, -2*g - n*c = 8000. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1643*j + 831*j = -854*j - 630. Let w be (1 + -1)\/(0 - -2). Let q(u) = u**3 - u**2 - 16. Let g be q(w). Is j less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 55. Suppose 3*z = w*b + 239, 2*z + 0*z + 4 = 0. Let k = b - -59. Solve -k = -2*q - 0*q, -5*n - 3*q = 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brr when three letters picked without replacement from {f: 6, r: 4, b: 9}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 equal to -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 10*j - 10. Let s be p(9). Let n be 0 + (-5)\/s + -2. Find the third derivative of -2*o**2 + 3*o**n + 4*o**2 - 3*o**2 wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 2.502, 294, 0.11?\nAnswer: 2.502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10445?\nAnswer: 5, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -20. Suppose -10 = -u*a + 30. Solve -5*k + 28 = -a*f + 8, 5*f = -20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -406053, -404622, -403189, -401754, -400317, -398878?\n\"Answer: w**2 + 1428*w - 407482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111210 (base 3) to base 15.\nAnswer: 4d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007086 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144 - 94. What is the highest common factor of 75 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = 12. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 22. Suppose -4*n + 64 = i. Suppose 2*j - n = -0*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 5*f - 3. Let v be j(-5). Let m(q) = q**2 + 21*q - 63. Let g be m(-17). Let l = 138 + g. What is the second smallest value in l, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8932587 to the power of 1\/2, to the nearest integer?\nAnswer: 2989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 less than or equal to 9877\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 191955\nAnswer: -767820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + 0*q**5 + 0*q**5 + (3*q**5 + 2*q**5 - 2*q**5)*(4 + 2 - 4) - q**5 + 5*q**5 + 8*q**5.\nAnswer: 20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-24))\/(4\/48*-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*q - 19*q - 6. Suppose q*m = -m. Solve -3*n = -m*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 - 259094*c**4 - 2959420*c**2?\nAnswer: -120*c**3 - 6218256*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*y - 8*y + 4, -3*u - 4 = -4*y. Let g be (-1)\/4*(25 - 33) + 2. Solve 4*k + 3*q - 7 = u, -g*k + k - 4*q = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y + 178. Give o(24).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 7. Suppose 0 = -0*x + 4*x - w. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-95 + 26 - 12)*(-6*l - 6*l + 2*l) to o + n*l and give n.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) - 13\/(-18). Suppose -4 = 3*v - 5*i, -5*i = 2*v - 3*i - 8. Factor -d*n**v + 0 + 2\/9*n.\nAnswer: -2*n*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 155.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -479 - -699. Let v be (-11)\/(s\/24)*15\/(-6). What is the third derivative of -11*w**2 - 24*w**v - 17*w**2 + 3*w**3 wrt w?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, g: 3, b: 3, x: 1, c: 1, s: 3}. Give prob of picking 1 c, 1 w, and 1 b.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*w**2 + 1664*w**3 - 35*w**2 + 134*w**3 - 28*w**2 - 26*w**2.\nAnswer: 1798*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2299) + -5 - (1*sqrt(2299) + -5)) + -5 + 1*(sqrt(95)*2)\/sqrt(5))**2.\nAnswer: -130*sqrt(19) + 3236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 80. Let v be 1 - (4 + x + -4). Let a be -6 + 3 + 4 + (v - 1). Solve a = 8*m - 12*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 41*h**2 - 238*h + 20. What is b(11)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (5*(sqrt(153) + -1 + sqrt(153) + 4 - (sqrt(153) - 1*sqrt(153)*5)))**2) + -4.\nAnswer: 16200*sqrt(17) + 827540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1698\/186007 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-114)\/84 - ((-20)\/(-8) + -3). Let v(p) be the third derivative of -p**4\/24 + 5*p**3\/6 + p**2. Let q be v(5). Are m and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -836 less than -1.3?\nAnswer: 834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 11, 4, -5?\n\"Answer: -g**2 - 2*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 - 238 = -21*a - 82*a. Sort 2, a, 7359, -1\/2 in ascending order.\nAnswer: a, -1\/2, 2, 7359","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1094180612, -1094180616, -1094180622, -1094180630, -1094180640?\nAnswer: -1094180652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m + 151. Determine y(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 + 40*u**2 - 3*u**2 - 9*u**2 - 16*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.017 times -810\nAnswer: 13.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 23 + 9 - 11*l**2 + 7.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)\/b)\/(b*b**(-2\/13)\/b))**(-2\/37) assuming b is positive.\nAnswer: b**(256\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/9 + 106006*o**2\/9 + 954236*o\/9 - 1060240\/9 = 0. Calculate o.\nAnswer: -10, 1, 53012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11 + 0.106. Let j = b - -0.153. Round j to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25380, 58178, 90976?\n\"Answer: 32798*v - 7418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)*a)**(26\/9))**3*(a*a**0*a)**(2\/89)*(a**(1\/4))**21 assuming a is positive.\nAnswer: a**(35477\/3204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-129)\/172)\/((-5)\/4*-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0162264 rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 46*n - 41*n + 11 = 0, -n - 1 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3\/7 + 20487*x**2\/7 - 11700*x = 0.\nAnswer: 0, 4, 6825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007766.5398 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3)*6\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*t - 26*t + 8. Solve t = -5*u - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -25, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/12 + x**3 + 2*x**2 + 4*x. What are the prime factors of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5\/3 + 1171*v**4\/3 + 137198*v**3\/3 + 3827114*v**2\/3 - 8931301*v + 14046081 = 0?\nAnswer: -1043, -67, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 498720775 to the power of 1\/2, to the nearest integer?\nAnswer: 22332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -3\/5, -3721, 4.9, -1\/6 in increasing order.\nAnswer: -3721, -5, -3, -3\/5, -1\/6, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 + 3*a. Let h be n(-5). Let w be 230*h\/12*150. Round w to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2957 or 452.5?\nAnswer: 1\/2957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6324 - 4792. Calculate the remainder when r is divided by 305.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 21. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbff when four letters picked without replacement from fffffffbffffb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 2 = 14*m. Let i(x) be the third derivative of x**6\/6 + x**5\/30 + x**4\/24 - x**3\/3 - 3*x**2. What is the units digit of i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 248*n - 6583. What is j(-272)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f**(-6\/7)\/f))\/f)\/(f\/((f*f\/(f*(f\/f**(-1\/3)*f)\/f))\/f*f)) assuming f is positive.\nAnswer: f**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {k: 1, r: 4, j: 3, s: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -6, -12, -0.1, -2, -5, -123?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13041 is divided by 129?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -41\/3, 1.9, 4 in ascending order.\nAnswer: -41\/3, 1.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 2 h when four letters picked without replacement from {h: 2, q: 1, m: 1, d: 1, j: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640420 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) + (-1*sqrt(275))**2)*1 - sqrt(275) - sqrt(275))*-1 + 4*((2*(sqrt(275) + -2))**2 - sqrt(275)))*-4.\nAnswer: -16756 + 1340*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116608?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 271859 and 12466677?\nAnswer: 87266739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*u + 76, -w + u - 205 = -215. Solve w*s + 25 = 4*p + 11*s, s + 5 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119474 = -3920*x - 221566 for x.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1608023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + w = 4, -4*w + 19 = -q + 23 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 337 + -301. Calculate the greatest common divisor of t and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 19 + 41 - 15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8118 = -13*x + 3452. Let y = x + -579. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -16\/9 (b) 5 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqn when three letters picked without replacement from {n: 3, q: 10, a: 2}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 1658.\nAnswer: 331.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*k + 654 = 1902, -g + 1254 = 2*k. Let y(j) = j**3 + 3*j**2 - 19*j - 1. Let d be y(-6). Suppose 5660 = -d*r + g. Round r to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -72. Determine b, given that 0 + 3\/5*b**2 + 2\/5*b + 0*b**3 - 1\/5*b**w = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -342 (b) 50 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/52668 and 31\/49932.\nAnswer: 3844764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 38620570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**3 - 6*w**2 + w - 4. Let m(u) = -17*u**3 - 18*u**2 + 3*u - 11. Suppose -29*d + 89 = -27. Determine d*m(h) - 11*z(h).\nAnswer: -2*h**3 - 6*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/513*-108)\/(2*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 334, 1523, 3668, 6901, 11354, 17159, 24448?\n\"Answer: 22*y**3 + 346*y**2 - 3*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -6 + 17 + -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-197853020)\/(-12). Let v = -6287752 + p. Suppose -d - v = -3*d. 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: Factor -u**4 + 20*u**3 - 69*u**2 + 82*u - 32.\nAnswer: -(u - 16)*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.23397 millilitres in litres?\nAnswer: 0.09123397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 8. Let y be l(5). Solve c = -c - y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-3)*(-15)\/(-20) + -1. Suppose 8 = d*f - f + 2*g, 0 = 4*f - 5*g - 25. What is the greatest common factor of f and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186719*h**4 - 248030*h**2?\nAnswer: 4481256*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/44361 and 59\/504.\nAnswer: 2484216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 205, 409, 89 in decreasing order.\nAnswer: 409, 205, 89, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/694 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 428 + 243 + 59 = 0. Sort s, -5, 3.\nAnswer: -5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327651 is divided by 782?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 11. Suppose 0 = 4*c - f*c + 462. Suppose 5*r = -3*z + 163, -2*z + z = 2*r - c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 3\/307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -82*l - 10. Let i(r) = -737*r - 88. Let a(h) = -5*i(h) + 44*v(h). Let u(j) = -j. Give a(u(o)).\nAnswer: -77*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(1\/(-2 - 4)). Is 13 a factor of (-24)\/36 - 323\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**4\/24 - 2*h**2. Suppose 4*g - 24 = -4*n, 3*g - 43 + 7 = -5*n. Let u = n - 8. Give x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, 13, 21, 5, -41?\n\"Answer: -a**3 - 3*a**2 + 42*a - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -463*c*y**2 + 5650*c*y + 11766706*c + 2*y**2 - y with respect to y.\nAnswer: -926*c*y + 5650*c + 4*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -244244314422?\nAnswer: 244244314430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 209436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 10. Let x be r(-5). Suppose x*u - 13 = -3. Let p = -1648 + 1647.29. What is the second biggest value in p, -1, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 133?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 7*i**2\/2 + 54*i + 18. Let t be (-4)\/(-22) + (1145\/55 - 8). What is the tens digit of p(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -170 - -89. Let b = o + 224. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465883217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 14) to base 15\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + 0.4. Let s = 28 - 32. Which is the second biggest value? (a) s (b) m (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.7 + -1.3. Let w = 7 + a. Let r = w - 3. Sort 0.2, r, 2\/9.\nAnswer: 0.2, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 2410 + 945 = 29*o. What is the remainder when 651 is divided by o?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.92 + -0.62. Let p = -22 + 26. What is the biggest value in p, -1, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 + 11. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 45. Let j = 18 - d. Calculate the smallest common multiple of j and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3855 divide 453895410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24801 + 136614.3.\nAnswer: 161415.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2154187 months to millennia.\nAnswer: 0.000184618225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284 minus -561793?\nAnswer: 560509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -90*f**2 + 14912*f + 19685. What is k(167)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14*(-18)\/315)\/((-2)\/(-20)). Let r be ((-15)\/(-18))\/((-2)\/6). Which is the second smallest value? (a) r (b) 0.1 (c) -5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*k**3*l**2*z + 91*k**3*l*z**3 - 890*k*l**2*z**3 + 80*k*l*z - 4*k*z**3 + l*z**3 wrt l?\nAnswer: -152*k**3*z - 1780*k*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -43*k. Let h be (-4)\/8*(-12)\/74. Are k and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - 0 - (-40 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 135013883 and -654569?\nAnswer: 135668452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7327, 7329, 7331, 7333?\n\"Answer: 2*h + 7325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o + 1 + 2*o**2 + 2*o**2 + 0. Suppose 175*h - 157*h = -33 - 39. Let d(v) = 5*v**2 + 7*v + 2. Give h*r(t) + 3*d(t).\nAnswer: -t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 12*r + 9. Let p(n) = -3*n**2 + 35*n - 27. Let g(o) = 17*j(o) + 6*p(o). What is a in g(a) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + 4. Let w(n) = -16*n**2 - 21. Let z(m) = -11*o(m) - 2*w(m). Suppose -2*a = -a. Give z(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + -0.14. Let n = 0.54 + t. Let j = 0.001 - 1.001. Which is the third smallest value? (a) n (b) j (c) 1\/3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6211674 and 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 7 (b) 1 (c) 20 (d) 0.3 (e) -19647 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/16310 + 32631\/179410. Sort -5, -0.0667, 5, j in decreasing order.\nAnswer: 5, j, -0.0667, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 69768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f. Suppose -4*g + 61 = 45. Solve -1 = 3*x - k + 7, f = -g*x + k - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 744\/53 - 90\/2385?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27959327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*h**4 - 124*h**3*w + 556*h**3 + 204676324*h**2 - 2*w wrt h.\nAnswer: 3168*h - 744*w + 3336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:22 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.290204605 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, e: 2, t: 3, k: 1, x: 6}. What is prob of picking 1 k and 2 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -24 in decreasing order.\nAnswer: 1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*m + 3*c, 2*m + 4*c - 9 = 21. Suppose -2*n - 6 = -5*k + m, -k + 20 = 3*n. Solve 2*o + 3 = f - 11, -2*f - k*o = 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76699*c**3 + 10*c**2 + 12133 wrt c.\nAnswer: 460194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6133*p + 324488 + 589329 = 0 for p.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -379ca (base 13) to base 12\nAnswer: -4b565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/2 (b) 11 (c) 635\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 - 4*x**4 - 164 + 164 + 3*x**3 - x**2 in the form l*x**2 + q + f*x**3 + i*x + b*x**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22575, 22569, 22561, 22551, 22539, 22525?\nAnswer: 22509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2430)*5 + sqrt(2430) + sqrt(2430) + sqrt(2430) + sqrt(2430) + -2*sqrt(2430)*-2)\/((sqrt(216) - sqrt(216)*1*-2)*-6)*-3.\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-3))\/23*414\/24\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 363105703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -35858?\nAnswer: 1\/17929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 5:39 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*b - 112. Let n = 8 + -2. Suppose -n*h + 10 = -5*h. What is the remainder when b is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, x: 4, n: 2, c: 2}. Give prob of sequence bxcn.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 540 - 528. Calculate the least common multiple of c and 68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 14. Let f(c) = c**2 + 6*c - 3. Let d be f(z). Sort 2, d, -4 in decreasing order.\nAnswer: d, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 67065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, c: 4, j: 1}. Give prob of sequence tc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 40 = -5*i - 2*l, 0 = 3*i + l - 17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 42740025?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let t = -2.5 - -2. Let g = 0 - t. What is the second smallest value in g, b, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(40\/8) - (-696)\/2. Suppose -543 = -3*m + 3*w, 2*m + 0*w = -5*w + u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(612) - (5 + sqrt(612)*-2)))**2 - -5*(((sqrt(612) - (0 + sqrt(612)))*1)**2 - sqrt(612)).\nAnswer: -210*sqrt(17) + 5533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from kiq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -603154?\nAnswer: 603155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104843 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 61*s**2 - s + 1. Let x(h) = -771*h**2 + 4623*h + 23. Calculate the smallest common multiple of x(6) and p(1).\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*w + 1243*w - 291*w - 254*w - 256*w - 267*w.\nAnswer: -129*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89338 is divided by 6871.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/17)\/i))\/i*i*i\/(i*i**14\/i*i) assuming i is positive.\nAnswer: i**(-203\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86073 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4053*y - 690. Determine b(0).\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 221 - 13. Suppose -k = -v - 10. Let h(m) = 2*m + 49. What is the tens digit of h(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32430654.56 rounded to the nearest ten thousand?\nAnswer: -32430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + -1.4. Let l = -0.04 + 2.04. Let n = -1 + l. Which is the nearest to 0? (a) d (b) n (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - 2*h + 28. What is y(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -259*o - 324. Let j(t) = 388*t + 487. Suppose -4*z - 22 = -2*f, -5*f + 2*z - 18 = -57. Let m(u) = f*y(u) + 5*j(u). Differentiate m(h) wrt h.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 10\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1456742233 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4587 - -13759\/3. Which is the closest to -2.2? (a) 13 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10790700 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74739 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c - 3*c - 3*c + (-4 + 2 + 1)*(-6*c + 2*c + 2*c))*(3*c**2 + c**2 + 3 - 5*c**2) in the form d + p*c**2 + y*c**3 + m*c and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 + -25.16. Let s = i - -11. Let g = -14.0000004 - s. What is g rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10853 + 10852.8. Let t be (-16)\/21 + (-2)\/(-6). Which is the second smallest value? (a) 6 (b) t (c) 0.4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - -34 - 9\/(45\/(-10)). Calculate the greatest common divisor of n and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*(y\/(y*y**(3\/13)))\/y*y*y))*y**10)**(-4) assuming y is positive.\nAnswer: y**(-612\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 16*i + 7. Let g be r(14). Let v = -21 - g. Suppose v*b - b = -33. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*z**3 + 854*z**2 - 15143 + 19369 + 5*z**3 wrt z?\nAnswer: 6*z**2 + 1708*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.2 (c) 2 (d) 6 (e) 15.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 3\/12*0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 + 2*i**2\/3 + i\/3.\nAnswer: i*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, -2\/13, 54, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 s when four letters picked without replacement from omzozzoodosszsmoz?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*k**2 + 78*k**2 - 41*k**2 - 25*k**2 as c*k**2 + y*k + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + o + 3)*(324 - 182 - 2324 + 289) in the form l*o + a and give l.\nAnswer: -1893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254*o**5 - 112*o**2.\nAnswer: 15240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**5*p)*p*p**(2\/7)*p)**(-30))**(2\/33) assuming p is positive.\nAnswer: p**(520\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12*(-22 - -19)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 2 + -7 + 17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 9*l**2 - 9*l + 12. Let d be f(-10). Suppose 5*y = -5*a + 45, -d = a - 6. Solve -6 + 26 = y*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18666915 and 18666915 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -10, -6*i + 5*p - 13 = -5*i. Sort i, -2, -12 in ascending order.\nAnswer: -12, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 23 + 7. Let u be -4 + 2 + (-9)\/s. Put -3, u, -1 in increasing order.\nAnswer: -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 + 4*i + 1. Let u(m) = m**2 + m. Let c(d) = -f(d) + 4*u(d). What is the remainder when (-4)\/(-10) + (-552)\/(-20) is divided by c(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*x + 98, 2*x - 4*x - 4*m = 28. Let d = -13 - x. Calculate the remainder when 14 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67, 132, 203, 274, 339, 392, 427?\n\"Answer: -i**3 + 9*i**2 + 45*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 14*f + 17. Let u be d(-5). Let n(w) be the first derivative of -3*w**2 - 8*w - 1. What is the tens digit of n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:37 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 8*m**2 + 8*m + 10. Suppose -2*h - 33 = 3*u, u + 24 = -4*h - h. What is w(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208 - 1.018.\nAnswer: 206.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 116*x**2 + 255*x - 3079. What is b(114)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n. Let r(t) be the first derivative of 83*t**3\/3 - 776. Give r(b(a)).\nAnswer: 747*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 9*w + 2. Calculate the smallest common multiple of (6\/15)\/(w\/(-100)) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52428 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2135 - -2455. Calculate the greatest common factor of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 411111230?\nAnswer: 411111244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24*(-2)\/(-64))\/(1\/140*-1). Put 8, d, -5 in decreasing order.\nAnswer: 8, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_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 5*x = 9*j - 5*j - 200, -2*j + 4*x = -94. What is the remainder when 268 is divided by j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 58*f**2 - 77*f + 239. What is h(4)?\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -94, -102, -100, -82, -42, 26, 128, 270?\n\"Answer: q**3 - q**2 - 12*q - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 400412?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {m: 1, c: 3, z: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 9180*x**2 - 3164832*x + 297793584.\nAnswer: -4*(x - 1899)*(x - 198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 49072\/(-140) - (-2)\/(-10). Let b = 350 + s. What is the common denominator of b and -76\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 2) + 2\/7)\/(3 - 2848\/952)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 24*c + 3*d + 20 = 0, 3*c = 4*d + 75. Calculate the greatest common divisor of c and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 806627543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - 3.02. What is the third smallest value in 0.4, m, -6\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**2 + 6621*f.\nAnswer: 3*f*(2*f + 2207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*i - 7*p + 12*p, -38 = -2*i - 2*p. Solve -i = 4*f + 2*z, -f - 3*z - 7 = 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*r + 5*r = 5, -5*z = r - 19. Suppose 2*x + 13 = -3*h, -z*x + 0*h = -3*h + 17. Sort -2, 0, x in descending order.\nAnswer: 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2. Let u = 415 - 420. Let z(f) = 177*f - 6. Let q(m) = 356*m - 15. Let a(i) = u*z(i) + 2*q(i). Calculate p(a(w)).\nAnswer: 59858*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 895824744 a multiple of 9192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10681859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -j, -2*j + 4*o = 2*o. Let q(a) be the second derivative of a**3\/6 - a**2 + 3*a. Calculate q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72243 by -1181.\nAnswer: -72243\/1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18148096 divided by 283564\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 5. Let l(j) = 5*j**2 - 14. Suppose -c - 2*c + 12 = 0. Suppose -14 + 2 = -c*s. Calculate s*l(b) + 8*k(b).\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m + 5*m)*(-1144 + 2829 + 3748 + 1170 - 226).\nAnswer: 6377*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2079, -8447, -19339, -34983, -55607, -81439, -112707?\n\"Answer: -38*r**3 - 2034*r**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6)\/(3\/(-42)). Calculate the highest common factor of 56 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*f + 1)*(5 - 3 + 0) + 105*f - 24*f + 61*f - 6*f in the form r*f + g and give r.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -39*g**3 + 16*g - 47*g**3 + 5*g**2 + 5*g**2 + 87*g**3. Let d be j(-8). Suppose -10 = 5*f + k + 4*k, d = -5*k + 5. Put f, 4, -2 in decreasing order.\nAnswer: 4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/11)\/(((-544)\/880)\/17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.4, -9, -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 8:45 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 21*t + 20451. Determine g(96).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a - 156 = -103*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -443568.\nAnswer: -7\/443568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 889028775 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 2*l. Let a be (-3)\/9*66\/2. Let x = a + 16. Suppose 4*m - 23 - 13 = -4*h, m = x*h - 15. Give o(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080145 + 12.073?\nAnswer: 2080157.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -157*g**2 - 15. Let q(k) = -k. Calculate q(f(d)).\nAnswer: 314*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 17*k**2 + 18*k + 26. Let a be v(-16). What is the least common multiple of 108 and 103 - 45\/(a - 3)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5084619476.\nAnswer: 2, 23, 37, 1493719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -5 - 2) + (13 + 3 - 21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 4*j - 3*j + 2*j - 6*j + 2*j + (-2 - 1 + 5)*(-3*j + j + 3*j) + 2*j - 1 + 1)*(-4*j - 13*j + 22*j + (4*j - 2 + 2)*(0 - 2 + 3)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - 2 - -12 - 2. What is the derivative of -6*v**m - 62*v**3 - 49*v**3 + 109*v**3 + 157 wrt v?\nAnswer: -24*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2120, -5 in decreasing order.\nAnswer: 2120, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 3*a**2 + 5*a + 3. Let w be j(-3). Let h = 28 - w. Suppose 3*y = -2*b + h, -9 + 1 = -b - 2*y. Solve -l + b = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5346711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:34 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 3 - 3 + (t**2 + 2*t - 2*t)*(4 - 4 + 2) - 4*t**2 - 2*t**2 + 5*t**2 + 1 + 9*t**2 - 1 + (-67*t + 30*t + 7*t)*(2*t + t - 4*t).\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmc. Give prob of sequence cm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.025848mm in nanometers?\nAnswer: 3025848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 901 and 636?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 119 = -3*c, 2*c + 55 = -2*g - 3. Let s be c\/9 - 1\/3. Let o = s - -13. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36, 65, 94, 123, 152, 181?\n\"Answer: 29*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 34910189\nAnswer: -1396407.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017*o + 326*o = -28203 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2124)\/(-54)*(-4400)\/(-97350).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 587\/13 - 45. Suppose -2*o + 8 = 2*k, 5*k - 26 = 4*o - 6. Is h equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 30180305.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t**4 - 25264*t**3 + 69876*t**2 + 16776*t = 0. Calculate t.\nAnswer: -2\/9, 0, 3, 699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 824 + 412 + 410 - 4*g. Let u(p) = p. Give 5*u(n) + y(n).\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 1. Let p be w(-5). Suppose 5*f = -4*n + 5*n - 1, -3*n + 3 = p*f. Let l(i) = i + 37. Is l(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q - 19. Let l(f) = 2*f - 7. Let a(o) = 8*l(o) - 3*t(o). What is a(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307011 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -59, -58, -75, -116?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/35))**11*(o\/(o*o**(-1\/18)*o))\/(o*o**2) assuming o is positive.\nAnswer: o**(-2089\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.99981 - 44. What is v rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2567, -2624, -2681?\n\"Answer: -57*h - 2510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -1a7815?\nAnswer: -1a7822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxvr when four letters picked without replacement from {r: 1, x: 2, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:39 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 692, -297, -1882, -4057, -6816, -10153, -14062, -18537?\n\"Answer: w**3 - 304*w**2 - 84*w + 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 100. Suppose 9150 = r*w - 57*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r, -5*n - r + 4864 = -340. What are the prime factors of n?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7854 and -0.3.\nAnswer: 2356.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*-1 - sqrt(152)\/(sqrt(8) - sqrt(72)) - ((-1 + sqrt(2299))*5)**2)*-4.\nAnswer: -2198*sqrt(19) + 230000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/21)\/4*(-39)\/(554580\/420)?\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-15) + 64\/10. Let g be 3\/(-2 - w\/(-2)). Let b be (0\/g)\/(4 - 6). Solve -4*h - j = -3*j + 2, 3*j + 9 = b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5721 - -5751. Solve 4 - 9 = m, 5*k + 3*m + w = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4*r**2 + 7*q**3*r**2 - 5*q**3 - 4*q**2*r**2 + 117*q**2 + q wrt q?\nAnswer: 48*q*r**2 + 42*r**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45261 + -2?\nAnswer: -45263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3363610 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-198)\/45))\/((-2)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 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 is -512992 times 0.4?\nAnswer: -205196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*x + 43*x + 12*x**2)*(0 - 3 - 2)*(2*x - x - 10*x) as m*x**3 + t + y*x**2 + u*x and give m.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 8 = m, 54 = -2*m + 5*f + 73 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, -0.290582, -2\/9, 25 in ascending order.\nAnswer: -0.290582, -2\/9, 0.25, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 - -87. Let b = 30 + w. Let u be b*4\/32 - 1\/4. Solve k - 7 = -5*o, 13 + 3 = -u*k + 2*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11685 - 11683. Let v = 9 - 5. Let c = 6 - v. Solve -3*u = 3*d + 12, -c*u + 7*u + 17 = -g*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2))\/((-2)\/(-12)). Let d(w) = -w - 4. Let s be d(i). Suppose 2*n - s*n - 2*q = -7, 0 = n - 2*q + 3. Solve o - 6 = -x, 0 = -4*o - 0*x + x - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**3 + 2*n**2 - 1. Determine o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 383, 479, 531, 533, 479?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/5 - 4\/10. Let d = 0.465345 + 0.034655. What is the third smallest value in d, k, -0.16?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -23*v - 451. Calculate l(-16).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 72*a + 6*a**2 + 14 + 21 - 32*a - a**2 = 0. Calculate a.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 3) + (-17 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2997, -6001, -9007, -12015, -15025?\nAnswer: -18037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y + 3337 = 2185. What is the remainder when 10079 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 18. Let x be 60\/14 - s\/(-7). Suppose -3*y - 3 = -4*y. Solve -d = -2*p - y, -d + 12 = -5*d - x*p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 + 3*w + 2. Let k(l) be the second derivative of -8*l**3\/3 + 85*l**2\/2 - l + 59. Let v be k(5). Calculate c(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.15118 to 3 dps.\nAnswer: -2.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1697.4 + -1691.4. Which is the nearest to 1? (a) 1\/3 (b) -5 (c) 8\/5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 23*w - 26, -3*f - 16*w - 277 = 7*w - 25*w for f.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -40) + (7 - (-1 + 6 - 4)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7030)\/(-392) - 6\/(-6). Let n = -156\/49 + y. Calculate the common denominator of ((-47)\/(-15))\/(-4 + (-84)\/(-20)) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 34 = 34. Which is the nearest to h? (a) 3\/2 (b) -75 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5226 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-14)\/(-91) + (-21)\/52). Solve 4*s = i*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21578791 divided by 3\nAnswer: 21578791\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpcc when four letters picked without replacement from ccpcccpccpccccccccp.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -215, -527, -967, -1535, -2231?\nAnswer: -3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 28 + -24 + 35 - 43?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.7 - 73.3. Let g = c + 53. Let t = g + 18.5. What is t rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:33 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*x - 3*x - 15, -x + 63 = 5*n. Let w = 15 - n. Suppose 0 = 4*b - w*b - s, 3*b = -5*s + 16. Solve q = -3*k + 3, 4 = -k + 2*q - b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*b**2 + 3*b - 3 + 3 + 3*b**3 - 138*b**2 to the form w*b + l + z*b**3 + a*b**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4349 + -4317. What is the lowest common multiple of i and 37\/2 + 3\/(-6)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -8*w + 148. Let t = w + 78. Suppose 5*b = -2*k + 380 + 95, t*k + 475 = 5*b. Calculate the remainder when b is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.041 + -52.041. Let i = j - -52. What is the nearest to i in 2, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 7) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 6:22 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:26 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 + 247 = 2*d. Let t(k) = -4*k + 3. Let n(a) = 11*a - 8. Calculate d*n(g) + 8*t(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -20*c**3 - 17*c**2 - 8*c + 5. Let j(q) = -11*q**3 - 8*q**2 - 3*q + 2. Let r(t) = 11*j(t) - 6*x(t). Calculate r(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o - 122 = 0. What are the prime factors of o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (26 - 14 - 1) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1724 + -3058. Let x = -398 - q. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 - -149. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85166706133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -2\/5 (b) -0.0078 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2379 + -1256. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 26 = v - 99, -3*o + 2*v = 121. Let g = o - -48. Let p be ((-49)\/14)\/((-2)\/4). Solve 3*q - p = g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + 67. List the prime factors of g.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.694 - 37.694. Which is the third biggest value? (a) v (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*s**2 + 277*s**2 - 148*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 214*v**3 - 49012*v**2 + 193448*v - 192576.\nAnswer: (v - 136)*(v - 2)**2*(v + 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onnnoooooooonoonon. What is prob of sequence noo?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -3\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -613, 2, 4 in decreasing order.\nAnswer: 6, 4, 2, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/99)\/(((10\/(-484))\/(-1))\/(3320\/1328))?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 6*t**2 + 0*t**2)*(5 - 5 - 3*t**2) - 3*t**4 - 3*t**4 + 2*t**4.\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-81)\/63 - 70\/(-147). Let i(w) be the first derivative of r*w**3 - 4\/7*w**2 + 1\/7*w**4 + 0*w + 7. Factor i(b).\nAnswer: 4*b*(b - 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1409\/69 + -462\/23. Which is the second biggest value? (a) 20 (b) z (c) 9 (d) 1\/4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 10. Let x be (1\/7)\/(18\/(-21)). Let n = -874.5 - -875. What is the smallest value in n, o, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 13435 - 24025 = 0. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -50829 and -50840 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4771132 - 4843*l - 4771132 in the form q + k*l and give k.\nAnswer: -4843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 241*-4\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2201 and 3266.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -490, -982, -1474, -1966?\n\"Answer: -492*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 0*x**4 - 1\/2*x**5 + 0 + 3\/2*x - 4*x**2 + 3*x**3 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 3\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x + 15 = 0. Suppose 34 + x = 3*w. Suppose a - w - 8 = 0. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggoccommcccocccgo. Give prob of picking 1 m and 1 c.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/429078 and 7\/264048.\nAnswer: 3432624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s**3 - 17*s**3 - 4*s**3)*(-39*s + 31*s - 28*s - 54*s).\nAnswer: 900*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Let z be (4 - d)\/(0 - -1). Suppose 3*m - 9 = -g + 6, -4*m + 22 = 2*g. Solve -2*b = z + g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3268*b**4 - 662*b**2 + 2*b wrt b?\nAnswer: -78432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q. Let h be (-3)\/33 + 1248\/176. Let f(x) = -30*x + 9*x**2 + 30*x - h*x**2. What is d(f(g))?\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**3 - 3*a**2 - 2. Let h(l) = 39*l**3 - 25*l**2 - 11. Let t(p) = 19*p**3 - 11*p**2 - 5. Let f(m) = -2*h(m) + 5*t(m). Give 6*f(g) - 10*v(g).\nAnswer: 22*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 235 in 2\/55, -5, 0.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 368*o**2 + 22248*o - 443232.\nAnswer: 2*(o - 76)*(o - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrprprrrrpqpq. What is prob of sequence qq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/2 - 16667*f**2\/2 - 2787389*f\/2 - 115962537\/2 = 0. Calculate f.\nAnswer: -83, 16833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c. Let k be m(0). What is the tens digit of (5\/(-1))\/5 + (k - -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = 220 + 20. Let c be (68\/51)\/(-2 + k\/(-6)). Calculate the highest common factor of 30 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 807.7 from 4.\nAnswer: -803.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -1501 and -3977380.\nAnswer: -3978881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q + 1007 + q + 12510*q**4 - 11381*q**4 with respect to q.\nAnswer: 4516*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7577375 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -0*p. Let g be 0 - -2 - 1 - p. Let u be 2*(g - (-5)\/2). Solve -5*f = -u*y, 5*f + y - 2*y - 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*1*(-3 + 3*sqrt(2156))*5)**2.\nAnswer: -219240*sqrt(11) + 17471169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3725294.\nAnswer: 2, 1862647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 559 + -302. List the prime factors of u.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**3\/5 - 10788*o**2\/5 - 9709191*o\/5 - 19375254\/5 = 0.\nAnswer: -1797, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 29530.8319 to 0 decimal places.\nAnswer: 29531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 5376?\nAnswer: -5377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 7 = -9*x. Let t be (-64 + x)*125 + 0\/11. Let f = -5571 - t. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + x = -4, -x = v + 4. Let d(k) be the first derivative of 3 + v*k + 3\/2*k**2. Let c(h) = -2*h. Give c(d(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/5 - 61*c**3\/5 - 342*c**2\/5 - 668*c\/5 - 88 = 0. What is c?\nAnswer: -55, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2524 + -2526. Which is the closest to 3? (a) h (b) 2.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10)*7\/175)\/(2\/(-5))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z**3 + 7*z**2 + z - 9. Let x be l(5). Let w = x + -296986\/209. Is -1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9354*j**2 + 79*j - 80. Is n(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 6*p - 1. Suppose -30 = 6*o - o. Let y be t(o). Let c be (-1 - 3\/(-3))\/y. Which is greater: c or -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {q: 13, k: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796 is divided by 1789.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -236126*r**4 + 2409*r**2 + r + 1 wrt r?\nAnswer: -5667024*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -66. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-21))\/(60\/70)*(-18)\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5199, -3763, -2327, -891?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -24033854409?\nAnswer: 24033854408.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688835.\nAnswer: 5, 7, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 16. Does 11 divide (4 - 1)*1 - r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13*r - 37. Let d be q(-3). Solve 3*x + 2*k - d = x, 5*x - 4 = -4*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.048 - 3.048. Which is bigger: t or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 5*r**5 + 3*r**5 + (4*r**4 - 2*r**4 + 0*r**4)*(-10 + 4*r + 10) + 3*r**5 - r**5 - 4*r**5.\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10331, -20369, -30407, -40445?\nAnswer: -50483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - 11. Let n(t) = -8*t**2 + 5*t. Let j(c) = -39*c**2 + 24*c. Let o(x) = 5*j(x) - 24*n(x). Give o(f(y)).\nAnswer: -12*y**4 - 132*y**2 - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894155771?\nAnswer: 3, 19, 33230803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1176c (base 13) to base 12\nAnswer: 16653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + y**2 - y + 37. Determine w(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -379345 or -379232?\nAnswer: -379232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -59. Put 0.3, a, 5, -4 in descending order.\nAnswer: 5, a, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:51 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 22*i**2 - 67*i - 84. Let n be d(18). Is n <= -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - c = -3, 3*c - 2 = -4*k + 9. Put k, -2, -10, 4 in increasing order.\nAnswer: -10, -2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 3\/18 + (340\/24)\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-794 + 794 - 15739*v)*(2*v**2 + 3*v**2 - 6*v**2).\nAnswer: 15739*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 63b7 (base 12) to base 8\nAnswer: 25273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 10:17 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12088 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817\/38*-894*3\/(-9).\nAnswer: 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, x: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -373 - 5\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*p = -650 - 1586, 4*t - p - 8999 = 0. Suppose -4*i - 4779 = 5*z, -i - 3*z + 360 = 1553. Let b = i + t. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107361 and 755?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-6930)*-15*24.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3562 (base 8) to base 10\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*p - l - 9, p - 12 = 4*l. What is the biggest value in 0.1, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.0749533 rounded to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 3*i**2 + 2*i + 5. Let k be f(-3). Let w(l) = -4*l - 2. Let o(d) = -d. What is k*o(q) + w(q)?\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -160.2177 + 4.7447. Let z = b + 156.2. Round z to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 5, -19288 in decreasing order.\nAnswer: 5, -119, -19288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 304.7 + -232.1. What is the nearest to -1\/2 in q, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**7\/504 + p**6\/144 + p**5\/4 - 5*p**4\/4 + 21*p. Let c(z) be the third derivative of w(z). Find y such that c(y) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + 0.2. Let v be (-5)\/2*12\/15. Let t = -319 - -319. Which is the closest to v? (a) t (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -726403 - -0.29?\nAnswer: -726402.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-18))\/(-1))\/(26\/(-39))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 664.3*5.\nAnswer: 3321.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -37. What is the closest to k in -5, -0.4, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 18 = -2*k. Let v be 4\/(4\/k*3). Find the third derivative of 7*i**2 - 12*i**2 + 3*i**v - i**4 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351132973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 + -258.999428. What is a rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4\/2 + 487*n**3 - 22512*n**2 + 266688*n = 0?\nAnswer: 0, 24, 926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 11 = -3*o, 86*b - 7 = 91*b + o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -368071 + -3?\nAnswer: -368074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 61368.25 to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3593723 divided by -7\nAnswer: -513389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*j**5 + 20*j**4 - 897*j**2 wrt j.\nAnswer: -1020*j**2 + 480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 53*w**2. Let v(a) = -384*a**2. What is v(g(j))?\nAnswer: -1078656*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6669 and 512348148.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -64\/5, -23, 0.1 in decreasing order.\nAnswer: 0.1, -64\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/204 and 5525\/(-1092) + -3 + 3*2?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 + 3*g**3)*(-12 - 130 + 87 - 486).\nAnswer: -541*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 9:56 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - g + 3*g + 4, -6 = -2*i + 3*g. Let w(m) = 4*m + i*m + 15 + 0*m + m**2 - 2*m. What is the units digit of w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 41*n. Let g(t) = -188 + 188 - 3*t**2. Determine j(g(w)).\nAnswer: -123*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28\/3 - -134\/15. Let h = 0.08 - -7.52. Which is the closest to v? (a) h (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 392088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqffqif. What is prob of sequence qqfq?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1436 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -10, 0.6, -3\/5, 0.8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 12*q - 2 + 0 - 3. Let u = 38 - 32. Is h(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197628201055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 887 = 4*v, 5*w + 7*v - 860 = 2*v. What is the smallest common multiple of w and 5?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 8 (b) -1 (c) -1\/5 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))**(27\/4)\/(((o*o**(-1))\/o)\/o)**(-1\/3) assuming o is positive.\nAnswer: o**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 2*k - 48. What is the lowest common multiple of 2 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(3\/4)\/y)**10\/((y*y**(-7\/6)*y*y)\/y*y**(11\/3)))**35 assuming y is positive.\nAnswer: y**805","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 1, p: 1, n: 1, v: 1, s: 1}. Give prob of picking 1 q and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j - 10. Let s(u) = 35*u. Let d(q) = -9*q. Let n(k) = -3*d(k) - s(k). Calculate a(n(r)).\nAnswer: -40*r - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5\/2)*d\/(d\/(d**14*d)))**(2\/3) assuming d is positive.\nAnswer: d**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317398 divided by -63.\nAnswer: 317398\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1) + (-5 - -3 - -34). Let f be (30\/4)\/(8\/a). Suppose f = -0*p + 6*p. Let z(b) = b**2 - 7*b - 2. Calculate z(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236417 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -15*j**3\/2 + 6*j. Let l = 121 + -108. Let h(p) = -11*p + 26*p - l*p. What is m(h(n))?\nAnswer: -90*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.7 + -6.7. Let i = 31 + k. Let p = i - 29. What is the third smallest value in p, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14*n**3 + 14*n - 6. Let d(i) = -4*i**3 - 5*i + 2. What is -10*d(c) - 3*m(c)?\nAnswer: -2*c**3 + 8*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 489835.2 litres in millilitres?\nAnswer: 489835200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from iiwwiwiwsvifiii?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2. Let g = 3 + -2. Let j = 0 - g. Let c(i) = i - 1. Let u(m) = j*t(m) + 4*c(m). Determine k, given that u(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 89. Let d = k - 32. Find the third derivative of 0*y**2 - 2*y**d - 14*y**2 + 7*y**2 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1\/4, -8, -0.02, -1\/49.\nAnswer: -8, -4, -2, -1\/4, -1\/49, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-6)*266\/(-1995). Which is the closest to -18? (a) 1\/5 (b) j (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than or equal to -12104\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.12, 3\/2333, 1757?\nAnswer: 1757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 - 2*c**4 - 187*c - 3*c**4 - 42 + 3*c**4 + 4*c**4 + 2*c**3 in the form l*c + n*c**2 + a + q*c**3 + y*c**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7934141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**3 - 14*u**2 + 29*u + 128. Calculate o(-5).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-12)*(-2)\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, u: 2, b: 1, p: 1, f: 2, t: 7}. Give prob of picking 1 f, 1 u, and 2 l.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.0304.\nAnswer: -0.0912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 447746*f**6 - 17405*f**2 wrt f?\nAnswer: 53729520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 4*z + 7*z)*(-4 - 1 + 3) - z + 0 + 0 - 728*z + 221*z - 608*z.\nAnswer: -1118*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*h*j**3 + 14*h*p**4 + 2*j**3*p**4 + 8*j**3 wrt p?\nAnswer: 56*h*p**3 + 8*j**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-74)\/14*(-3 + 6). Let o = t - -534\/35. Let u = 16\/11 - 133\/99. Which is the third smallest value? (a) o (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 s when four letters picked without replacement from {s: 8, z: 3, l: 2, x: 7}?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2eb12e (base 16) in base 6?\nAnswer: 145330422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8*m + 14 = -2*z, 3*z = 2*m - 21. Let i be (-7)\/(z\/10)*6\/15. Find the second derivative of i*k + 10*k - k**2 + 8*k**2 wrt k.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, d: 1, k: 1, s: 1, j: 1}. What is prob of sequence sdkc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62, -485, -1480, -3275, -6098?\n\"Answer: -38*n**3 - 58*n**2 + 17*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.6704 years to decades.\nAnswer: 58.56704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7854936 + 204.7855826. Let o = 200 - u. What is o rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.7, 3, -959, -3\/4, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1117 + -1117.05886. Let y = 0.06 + b. Round y to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4709866.8 to the nearest one hundred.\nAnswer: -4709900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -4. Let l(c) = 11*c**3 + 18*c**2 - 2*c + 11. Let p(i) = -5*i**3 - 8*i**2 + i - 5. Let u(y) = 4*l(y) + 9*p(y). Give u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z - 19*z = 2*j - 364, 2*j + 19*z - 41*z + 36 = -17*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 4:09 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2615 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-104)\/78)\/(-1 - 4\/(-6)). Let t(u) = 2*u**2 + u + 1. Let z be t(-3). Suppose z = i*a - 156. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + -65. Let d = m + -8. Which is the closest to d? (a) 1\/8 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 1. Suppose -12 = -m + 4*g, m - g - f = 2. Suppose o = -29 + 66. Calculate the remainder when o is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2010*j + 16535 + 7523 = -36242 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4 + 6*d**3 - 8*d**2 - 6*d + 9 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 0, -t + 9 - 3 = 3*i. Let k(r) = -7*r + i*r + 0*r. Let c(o) = o**2 + 3*o**2 - 3*o**2. Give k(c(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 345, 692, 1043, 1398, 1757?\n\"Answer: 2*b**2 + 341*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 371202115 and 222721269.\nAnswer: 1113606345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from ggmwvpmwugwgpguwgwgg.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iij when three letters picked without replacement from {j: 1, i: 2, k: 1, n: 2, g: 1, a: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1\/5*10. Let o be (-1)\/5 + k\/(-20). Suppose -3*s - 5 = -2*u - 3, -2*u + 4*s = 0. Solve -u*f + 8 = -o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 6. Suppose 40*k = 36*k - 32. Give d(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*f + f**4 - 41*f**3 - 3*f**4 - f**2 + 42*f + 6*f + 39*f**3 as l*f**2 + n + k*f + a*f**4 + x*f**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + o - 9. Let m be w(2). Which is the closest to 0? (a) 0.17 (b) -3 (c) m (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.44999974 + -0.45. Round g to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 467029, 933743, 1400457, 1867171, 2333885, 2800599?\n\"Answer: 466714*s + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*r + 15. Find the third derivative of r*k**2 - 23*k**3 + 23*k**3 + k**5 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2\/9*p**5 - 4\/3*p**3 - 2\/3 + 14\/9*p + 10\/9*p**4 - 4\/9*p**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5356983.5 rounded to the nearest 10000?\nAnswer: -5360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from {z: 3, s: 1, p: 11}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41555 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnh when three letters picked without replacement from {b: 2, w: 1, x: 2, h: 2, o: 1, n: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + 1 + -1) + (sqrt(7) - (sqrt(7) + sqrt(28)\/sqrt(4) + 0) - sqrt(7)) + (sqrt(7) - (sqrt(7) + -2 + 2)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*u = -112*u - 2. Which is smaller: u or 93\/64?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -h - 4*f - 20, -4*f + 12 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42, 88, 134, 180?\n\"Answer: 46*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 - 92. Does 3 divide -17 + 23 + 54\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*m - 5*l, -9*m + 5*l + 0*l = 33 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -278*p + 16. Let t(b) = b**2. Give t(w(k)).\nAnswer: 77284*k**2 - 8896*k + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -4*t + 548. What is the remainder when t is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 5, r: 6, n: 4}. What is prob of sequence hfn?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) + 190\/45. Find the third derivative of -3*q**2 + q**2 - 4*q**p + 2*q**4 wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 29*r**3 - 1 + 1.\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -1.5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 6\/149188897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74 + 5?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31179 - 31176.0118. Let c = -0.0118 - y. Suppose 9*u - 4*u = 0. What is the third smallest value in u, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**8\/47040 - f**7\/3920 - f**6\/840 - 2*f**5\/15 + 7*f**2. Let j(z) be the third derivative of p(z). Factor j(u).\nAnswer: -3*(u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 - (0 - -3)) + 2140 + -2156\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 (base 8) in base 13?\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 568\/5 + -114. Let k = -0.5 - -5.5. Let u(a) = -a - 1. Let r be u(-4). What is the closest to d in -2\/21, r, k?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 26*t. Let m(j) = -122*j. Let r(u) = 14*c(u) + 3*m(u). Let y(v) = -3*v - 6. Let g(s) = 6*s + 11. Let p(z) = 6*g(z) + 11*y(z). Determine p(r(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 30364874 to the power of 1\/2, to the nearest integer?\nAnswer: 5510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 321\/8. Let o(g) = g + 7. Let i be o(-6). Is x less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -817*o**3 + 13*o**2 - 4. Let v(l) = 2452*l**3 - 42*l**2 + 12. Let h(s) = 8*f(s) + 3*v(s). What is the third derivative of h(j) wrt j?\nAnswer: 4920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 1139556*i - 26366*i - 8.\nAnswer: 1113190*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 30 = -t, -2*t - 37 - 15 = -z. Which is the closest to -22? (a) -1 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32978)\/539*-28)\/(2\/7). What is the greatest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.92 and -31099?\nAnswer: 28611.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-1\/2))*x*x**(2\/85)*x assuming x is positive.\nAnswer: x**(429\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*b + 4*b + 4*t, -6 = -2*b + 4*t. Suppose b*k - 71 = -14. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -7) + -2 + -1 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 36. Let g = 16 - 19. Let c = g - -3. Is z(c) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -319, 2, 3, 103 in increasing order.\nAnswer: -319, 2, 3, 45, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**(-12\/11)*(y*y**2)**(-4\/35)*((y\/((y\/(y\/(y**6*y))*y)\/y))\/y**(-4))\/(y*y**1)**(5\/9) assuming y is positive.\nAnswer: y**(-19528\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 8 = -8*a. Suppose 4*w - a*w = 0. Solve 0 = 3*c - w*c - 6, -5*k = 5*c + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 15) in base 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (25 + 9) - -17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60b - 20?\nAnswer: -62b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sos when three letters picked without replacement from {s: 3, o: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 371\/(-636) - 3\/4.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(288) + 1 - (-1 + sqrt(288))**2*6.\nAnswer: -1738 + 156*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvt when three letters picked without replacement from vaajattvavvvjvtvvvvt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + 1. Let v be b(-1). Let d(s) = -s**2 - s + 21. Let r be d(-5). Put r, -2, 0, v in ascending order.\nAnswer: -2, 0, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236918 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(-1)*(-6 - 12\/(-6)). Let l be 10\/(-35) + w\/7. Let u(s) = s**2 + 2*s + 3. Let j be u(-2). What is the highest common divisor of l and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)*j)**(-2\/13)*(j*j**(5\/3)\/j)\/(((j**8\/j)\/j*j)\/j))**(-1\/3) assuming j is positive.\nAnswer: j**(145\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 - 79. Let q(t) be the first derivative of i*t**4 - 4 + t + 0*t**3 - 3\/5*t**5 + 0*t**2. What is the derivative of q(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u = 3290 + 2788 - 5092 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/33)*u*u\/(u*u*u*u\/(u*u**(-16))))\/(u**(3\/8))**(1\/66) assuming u is positive.\nAnswer: u**(-8947\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (-248)\/40 - (-38)\/10. Solve -3 = s*r - r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1430372780051\/2101252755 - -1\/20011931. Let r = s + -3421\/5. Calculate the common denominator of r and 131\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l**3 + 718*l**2 - 242*l - 230. Let t be p(-120). Solve 0 = 126*z - 130*z - a - 5, 5*z - t = 2*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = -f - 745, 10 = -2*f. Suppose v - z = -3*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*i + 3*r, -4*r + 0*r - 12 = 0. Suppose 4 = w - i. Calculate the least common multiple of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233639302.\nAnswer: 2, 13, 8986127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 224985*f**2 + 14865345*f - 245368035.\nAnswer: -5*(f - 33)**2*(f + 45063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10*v = -4*v + 5, 0 = 4*l - v + 4. Sort -4, 3\/7, 7, 4, l in decreasing order.\nAnswer: 7, 4, 3\/7, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -54. Let x = a - 42. Suppose 40*n + x = 42*n. Solve n*w = -4*m + 12, 3*m - w = m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.438 + 288.\nAnswer: 286.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-27))**(-34)*(((y\/(y\/(y*y\/(y*y*y**6))))\/y)\/y)**(-4\/17) assuming y is positive.\nAnswer: y**(15060\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 852910815 to the power of 1\/2, to the nearest integer?\nAnswer: 29205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130 - -731?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 4:09 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 19 - 2*c - 11 - 5. Let y be v(1). Suppose -2*o + 5 - y = 0. Solve 5*d = o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1\/5 (c) 2\/13 (d) -0.3 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q**3 - 4*q**2 - 4*q + 4. Let x(p) = -209*p**3 + 55*p**2 + 55*p - 55. Calculate -55*l(m) - 4*x(m).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -33*h**2 + 8*h**2 - 7*h**3 + 13 + 0 - h. Let v(x) = 3*x**3 + 12*x**2 - 7. Let g(q) = -2*i(q) - 5*v(q). Determine g(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1537 - -1543. Let g be (-4 - (-308)\/96)\/(1\/(-9)). Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-24)\/48)\/(2\/56))\/(-2). Sort -19, -4, a in descending order.\nAnswer: a, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1282 + 4850 + 8788 - 37965 - 26354 - 17164)*(m**4 + 5*m**4 - 4*m**4).\nAnswer: -133126*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*b + b**2 - 3*b**3 - b**2 - 1 - 73*b - b**2 + 0*b**3 as t*b**2 + m + x*b**3 + c*b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 58. Let v = x - -21. Let z(o) = o. Let a(m) = -6*m + 2. What is v*a(f) - 5*z(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((756\/(-9))\/(-21))\/(((-60)\/9)\/(-2)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 + 174. What is the remainder when 31 is divided by 5\/n*(-18)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11335 + -11374.6. Is 11 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 2*l + 192*l**2 - 189*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdddpddd. What is prob of picking 2 p and 2 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5122)\/7880 - ((-7)\/(-4) + -1).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 101*r**3 - r - 100*r**3 - 1 + 0 + r**2. Let s be h(-1). Suppose s = q - 132 - 127. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*p - 18, -4*d - 26 = -4*p - 10. Let n be (10 + -15)*4\/d. Solve -3*w + 3*a + 14 = -2*a, -w = -a - n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 28. Let f be s(6). Let g(k) = 619*k**2 - 635*k**2 + 2*k**3 - 4 + 12. Let o be g(f). Solve o*j + 6 = 11*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03501724922 plus 37?\nAnswer: 37.03501724922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfll when four letters picked without replacement from ylyffyyllfyfy.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -4)*(3\/2)\/(-7 - -10). Let r be 1 + -4*(-2)\/4. Suppose -p + 5*p = x, -r*x = p. Which is the closest to -2\/7? (a) x (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7289 by 68.\nAnswer: -7289\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 2, 7*m = 2262179*g - 2262177*g - 44 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -3*sqrt(200))\/(sqrt(28)\/sqrt(700) + sqrt(4)).\nAnswer: -140*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 7 - 1. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4458632611?\nAnswer: 199, 2957, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.5 and 2028.2?\nAnswer: 2039.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3413126, 6826255, 10239386, 13652519, 17065654, 20478791?\n\"Answer: b**2 + 3413126*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, 2, -2, -1\/38, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 6 = 15*o. Which is bigger: o or 2\/565?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**3 - 49*t**2 - 9*t - 9. What is p(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**8))\/(p*p*p*p**(-7))*(p\/(p*(p*p**(1\/4)*p)\/p))**(-27\/4) assuming p is positive.\nAnswer: p**(71\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -120222022 (base 3) to base 16\nAnswer: -2d7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5046942209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18\/13 + 3\/26. Sort -0.4, 2\/97, v, -5.\nAnswer: -5, -0.4, 2\/97, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.741 + 0.7410282. Round x to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155566179?\nAnswer: 3, 29, 509, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -17800.7 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23240 - 23252. Let k = 2\/45 + -8\/45. Which is the third biggest value? (a) k (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - (-2)\/(-3). Let m be (14\/(-35))\/((-1)\/5). Let n be (-2500)\/(m\/(-152 - z)). Round n to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 4 + 4)*(-2*d**2 + d**2 + 2*d**2) + (-2*d**2 - 119*d + 9 + 119*d)*(4 - 5*d - 4) to c*d**2 + a + f*d + r*d**3 and give f.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 + 316 = 16*i + 117. Solve -34*a + 30*a - 3*r = 2, -6 = -2*a - i*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646169715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(17)) + sqrt(17) + 2 + sqrt(153)\/sqrt(9) + (sqrt(1700)*-1 - (-6*sqrt(833))**2).\nAnswer: -29974 - 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85962*a*x**3 + 10*a - 2165405*x**3 wrt a.\nAnswer: 85962*x**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263\/3 - (-1)\/1 - 3 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -7)\/6 + 7\/30. What is the nearest to -4 in -0.5, 0, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {c: 4, a: 1, p: 2, k: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-4) + (-3)\/12. Suppose -4*y = -5*y - 21. Let b be 560\/y + u\/3. What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*x - 123*x = 45964 - 64372 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 + 21 - 3 + 2 + 2 + (4 - 1 - 4)*(-1 + 0 - 2) - 3 + 3 - 2)*(-15 + 2*z + 15).\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -336142 or -336151?\nAnswer: -336151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uubu when four letters picked without replacement from buuuwwbwuuwuwwubbuuu.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/(-16)*12\/(-58). Let m = -2662828457\/464 + 5738858. Let x = s - m. What is the common denominator of -107\/14 and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246878 + -68811. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/3 - 10\/(-15). Let h(j) = 25*j + 24*j + 17*j**3 + 27*j - 5 - 97*j + 26*j. Let v(t) = 26*t**3 + 8*t - 8. Calculate d*h(f) - 5*v(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:37 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 1618272*o**2.\nAnswer: -2*o**2*(o + 809136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(104)\/(sqrt(8) - sqrt(96)\/(sqrt(12)*2)))**2*5.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2619744, 2619643, 2619542, 2619441, 2619340?\nAnswer: 2619239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:34 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67178.85 tonnes to nanograms.\nAnswer: 67178850000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2 - 4. Let v(n) = -3*n + 3. Let i be v(z). Let j = i + -3. Calculate the highest common divisor of j and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*o**2*u**2 - 30*b**2*u - 7*b*u**2 + 2*b*u + 278*o**4*u wrt o?\nAnswer: -4*b**2*o*u**2 + 1112*o**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from jxpjuttpvjpu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/968 and -51\/484.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1729 in -3\/7, 5\/4, 4, -3, 2\/7, -72?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -63*o - 357 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9)*-3*330\/15*(-4932)\/(-15070).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*x + 1, -3*x + j + 24 = 4*j. Suppose 2*h = x*h. Solve h = 5*a - g + 25, -a = -6*g + 2*g + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3116 = 4*n - 6*s, -2*n + 3*s + 1554 = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 880.2 or -34092?\nAnswer: 880.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2123875*t**3 + 100*t**2 + 735951653*t?\nAnswer: -12743250*t + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25403 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33383131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979370.\nAnswer: 2, 5, 7, 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:32 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -16976*f - 1935256. What is o(-114)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 21239417593.\nAnswer: 21239417595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekkaekkatekktstsse. What is prob of picking 2 a and 2 s?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574790009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 + -22 - -20) + 15 - 14.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*m**4 + 7*m**4 + 36*m**4 + 24*m**4 + m**4 + m**4 - 5*m**4 + (0*m**2 + 0*m**2 + 2*m**2)*(0 + 0 - 2*m**2).\nAnswer: 42*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 211 = -157. Solve 2*q - r = q + 2, m*q - 11 = 4*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3750776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90286 at most -168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.34 + -4.66. What is the nearest to -0.1 in 4, -5\/4, t?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 + 1698671?\nAnswer: 1698719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10*1*6\/(-60)*6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 10*q**2 + 12*q + 2. Let j be h(11). Suppose -2*b - j = z, b = -4*z - z - 47. Is (z\/(-6))\/(5\/180) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/((-4)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102.229476 + -101.554. Let n = p + -32.676176. Let o = n - -32. Round o to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-3*-1)\/(-3*2*sqrt(10) - sqrt(10)).\nAnswer: -3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/51 or 21919640?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + p**2. Let j(y) = 4*y**3 + 14*y**2 + 5*y - 7. Let a(v) = -3*b(v) + j(v). Let g = -51 + 73. What is the remainder when a(-10) is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 492 = -2*q. Suppose 0 = 3*n - 3*h - q, -n - 2*h + 86 = n. Calculate the remainder when n is divided by (-6)\/(-10) - 624\/(-60).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33964359 by 21241.\nAnswer: -1599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158291 - -409342. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -13948568.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9518 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**4\/2 - 37*y**3\/3 + 65*y**2\/6 + 111*y + 24 = 0.\nAnswer: -8, -3, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 18 + 10 = 2*q, 3*q + 12 = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15260*m**2 - 213*m - 11544008.\nAnswer: -30520*m - 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d + 43. Let a be -1 + -1 + -1 - -10. Suppose 4*f = -a + d. Calculate the least common multiple of 4 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1381 divided by -68\nAnswer: 1381\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 4890?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/120 + b**5\/5 - 7*b**4\/12 - 2*b**3 + 18*b**2. Let w be p(-13). Is (w\/2)\/(4\/15544) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + m**2 + 6*m**2 + 9*m**2.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0487236 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 11*z - 48. Suppose 5*w - 2*h + 3*h = 50, 4*w = -5*h + 61. Let u be 1*15\/w*9. Calculate the least common multiple of r(u) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186428 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267.5458016 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8299923 and 0.14.\nAnswer: 0.9699923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1220552*i**4 + 610272*i**4 + 4*i + 4*i**3 - 5 + 610278*i**4 - 8*i**2 to the form y*i**2 + h*i**3 + r*i + j*i**4 + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.83882 millennia in decades?\nAnswer: 5183.882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 24*p - 146. Calculate k(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025948 to 5 decimal places.\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 675 - 598 - 764 - 56 + 5*i.\nAnswer: 4*i - 2093","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5216 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-3 - 11) + -17 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 4*y - 2. Let s be m(4). Is 0\/s - (-544 - 13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -14. Solve u + u + 2 = o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {n: 5, l: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(432)*3*-6 - (((sqrt(432) - (sqrt(432)*-2 + -5)) + sqrt(432))**2 + 0)).\nAnswer: -6937 - 912*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23808 divided by -3.\nAnswer: -7936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/20 - 3*x**4\/4 - 11*x**3\/6 + 7*x**2 + 4*x. Let a be s(10). What is the derivative of -v**a + v**4 + 6 + v**4 wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 1002 + y**3 + 9*y**3 + 2*y**7 - 1029. Find the third derivative of h(l) wrt l.\nAnswer: 1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 13.\nAnswer: -76\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 7. Give f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + d + 1243233 = 15*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 8. Let r(m) = -m**2 - 24*m + 56. Calculate the least common multiple of p and r(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2*s + 2*s + (5*s - 3*s - 3*s)*(-4*s + 5*s - 2*s))*((-4*s + 5*s - 3*s)*(-2*s - 5*s + 5*s) + s**2 + 0*s**2 + 2*s**2).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202530, 405706, 608882, 812058, 1015234, 1218410?\nAnswer: 1421586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11902*v + 11897*v + 13 + 4. Let n(o) = o**2. Calculate n(g(s)).\nAnswer: 25*s**2 - 170*s + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 1\/3, -3, -14\/15, 2\/13?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290392 is divided by 96793?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 4*g + 14. Suppose -7 = z - 18. Let v be n(z). Does 10 divide (8\/5)\/(8\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + i**4 - 2*i**4)*(7 - 42 + 21)*(5 + 1 - 2)*(0 + 0 + 1).\nAnswer: 56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2337\/114*(-44)\/(-11275).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 8371?\nAnswer: 75339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 32 - 16 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 50 = k - 3*k, 0 = -k + c + 31. What is the remainder when 128 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 - 41*v**2 + 704*v + 9535. Calculate j(-14).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 54 * 72.4\nAnswer: 3909.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4440*t + 5 - 5788*t - 4 - 1 as j + i*t and give i.\nAnswer: -10228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1915 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54605171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 28*i - 240 = -12*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-12)*-3 + -2. Let y(z) = z**2 - 2*z - 10. Is 25 a factor of y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -538742366 at most -538742367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-65)\/130.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-91))\/(2 + (-46)\/14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b = 102*b - 210147. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 20*k - 35. Is n(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 - 406090*r**3 - 222 - 189295*r**3.\nAnswer: -595385*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.893 + 0.193. Let u = h - -13.7. Which is smaller: 14 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 41, 63, 85, 107, 129?\n\"Answer: 22*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (22 + -33) - (19 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 307 - 304. Solve -2*w = 4*s, o*s = -s - 5*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4860)*-2 + sqrt(4860))\/((sqrt(192) - (sqrt(192)*-1 - sqrt(192) - sqrt(192)))*-3).\nAnswer: -15*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 2*q**6\/5 - q**5\/5 - q**4 + 2*q**3\/3 + 8*q + 14. Factor w(o).\nAnswer: 4*o*(o - 1)*(o + 1)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36594 and 128198412?\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/10 + 1\/((-5)\/(-2)). Let h be g\/(-44)*(0 + -4). What is the nearest to 1\/3 in -4\/9, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjowjojowojhh. What is prob of sequence wow?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*z**3 + 10 - 40*z + 10 - 2*z**4 + 4*z**4 - 4 + 36*z**2.\nAnswer: 2*(z - 2)**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 7:52 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10355355*l**2 + 210 - 210.\nAnswer: 10355355*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 35*o**2 + 666*o + 399. Determine b(49).\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 108*a**3 - 173*a**3 + 91*a**3 + ((-4 + 2 + 0)*(1 + 0 + 1) + 0 + 3 - 2)*(2*a**3 - 3*a**3 + 2*a**3)*(-1 + 1 + 2).\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 357414 + -4?\nAnswer: 357410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 - -23. Calculate the remainder when f is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 38. Let v = -3123 - -3123.3. What is the nearest to -0.1 in s, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d**2 - 7*d. Let n(k) = -3*k**2 - 3*k. Let z(f) = 4*h(f) - 10*n(f). Factor z(v).\nAnswer: 2*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2059 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 - 44*y**3 + 123*y**2 + 53*y**2 + 2*y - 175*y**2 as d*y**4 + k*y**2 + c*y + g + l*y**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 3568714.\nAnswer: -1070614.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3\/5, 2.40567?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/660 and 64\/15?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q. Let d(y) = 2*y + 5. Suppose -3*l - 5*t = -3, 6 + 6 = -4*t. Let j(v) = -5*v - 3 - 1 - 2 + 2*v. Let a(x) = l*d(x) + 5*j(x). Calculate w(a(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**3 + 11*g**2 + 5*g + 4. Let l(n) = 3*n**3 + 4*n**2 + 2*n + 1. Let h = -2072 - -2083. What is h*l(z) - 4*k(z)?\nAnswer: z**3 + 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40338542397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 3162, 10774, 25618, 50106, 86650, 137662, 205554?\nAnswer: 292738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Differentiate 2 + 3*o**3 - o**3 + h wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c = -3*j - 2, 4*j + 4*c = -4. Let f be 8*j\/32*-2. Are f and -1\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 less than or equal to 232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/75, -2\/27, -2?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 18 = -2*u, -2*v = u - 3*u - 8. Suppose 4 = -8*a + 44. Let r be (1\/a)\/(13\/26). Sort r, 2, v.\nAnswer: r, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - s = -8*u + 32, -2*s = 5*u - 53. Let n = -40 + 49. Calculate the highest common factor of u and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882) - sqrt(18))\/sqrt(9) + sqrt(2))*-1 - (-5*(sqrt(2) + sqrt(2) + -2)*-5)**2.\nAnswer: -7500 + 4993*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 537742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/12 + 297*n**2\/8 - 74*n + 1191. Solve d(i) = 0 for i.\nAnswer: 1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 557.9 - 585. Let m = a + 27.5. Sort -1\/71, m, 4 in increasing order.\nAnswer: -1\/71, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1689\/4 - -423. Let d(k) be the first derivative of k**3 + 3\/2*k**2 - 9 - h*k**4 - 3*k. Find r, given that d(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11090 + -11085. Sort 3\/122, -2\/3, 2, -0.2, w in ascending order.\nAnswer: -2\/3, -0.2, 3\/122, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06929 + 195.38071. Round f to the nearest integer.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6407*l = -7181*l + 1195744 for l.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 12. Let w be k(-6). Let c = 6 + w. Solve -2*j - j - 15 = c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/(y**9*y))**(-40)*((y*y\/(y**(-1)*y))**(12\/7))**30 assuming y is positive.\nAnswer: y**(1000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 4*h**2 - 6*h**2 - 10*h - 5*h + 5*h - h**2 + (2*h + 4*h - 5*h)*(-23*h + 11*h - 3*h) in the form y*h + z*h**2 + o and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2. Let x(s) = 9281*s + 1. What is t(x(j))?\nAnswer: 258410883*j**2 + 55686*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g + 11 = -3*a + 32*g, -2*g = -2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 - 2*d**3 + 10*d**2 - 3*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l - 23. Let h be u(-7). Solve -6 = -h*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12138\/(-1225) - -10)\/(((-184)\/(-28))\/23).\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - s - 1232 = -88*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 788 and 4?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*o**2 + 121*o.\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 7*f)*(-2*f**2 - 3*f**3 - 59*f - 70*f + 121*f).\nAnswer: 21*f**4 + 14*f**3 + 56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + -9 - (11 + 10 + 26)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, p: 4}. What is prob of picking 4 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-2\/9)\/i)\/i*i*i)*i*i)\/i*i**(-1\/3)\/i*(i*i\/(i\/(i\/(i\/(i\/(i\/i**(-2)))))))\/i**(1\/2) assuming i is positive.\nAnswer: i**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -745*q - 1235*q - 1980. Let o be (-1*1)\/(2\/(-68)). Let n be (3\/o)\/((-3)\/(-4)). Which is greater: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 6183?\nAnswer: -6177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/219, 6\/7, 4?\nAnswer: 1\/219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39 and 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1519 + 1952 = -3*b, -2 = -2*b. Suppose 0 = 89*w - 98*w + n. List the prime factors of w.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3516, 6813, 10110, 13407, 16704, 20001?\nAnswer: 23298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/3 + 38*l**4 + 1870*l**3\/3 + 6646*l**2\/3 - 624*l - 6760\/3 = 0. Calculate l.\nAnswer: -26, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -431 + 739. What is the lowest common multiple of t and 847?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/4 in -61, 7, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 8*z + 82*z**2 - 13 + 17 + 8 to c*z**2 + b*z + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2555 - 2263. What is the second smallest value in q, 1, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 2*j - 3 + 9*j.\nAnswer: 17*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -3 - (-802 - -46)) + -8. What is the highest common divisor of o and 825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 1, u: 2, f: 1, p: 2, g: 7}. Give prob of sequence rg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*r - 103 - 469 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b + 2. Let q(h) = h**2 - h. Let g(a) = 251*a + 1507. Let j be g(-6). Calculate j*f(d) - 5*q(d).\nAnswer: -5*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*w = 41, -o + 5*w - 8*w = 1. Solve 4*l = -16, 4*a - 15*l - 20 = -o*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 802, 1197, 1592?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 2*y**3 + (10*y + 5*y - 14*y)*(3*y**2 - 3*y**2 + y**2) to v*y**2 + m*y**3 + d*y + f and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 6. Let s be 160\/(k - (-91608)\/(-22900)). Round s to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 158. Let v = -0.128513907 + 80.128644907. Let f = v - m. Round f to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*t = -2*o - 10, -o + 5*t = 25. Suppose o = -4*m - p + 10, -m = 5*p + 2 + 5. Solve 0 = l + m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + -0.66. Let y = u + 0.7. Let m = 0.7 + -1.1. What is the nearest to y in 2\/19, -0.5, m?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129897579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -10 (c) 5 (d) 1\/3 (e) -13.999 (f) -4 (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408554, 408549, 408546, 408545, 408546, 408549, 408554?\nAnswer: 408561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26474\/(-420) - 48\/(-1440).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -536 at most as big as 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*w**3*x - 6*w**3 - 2*w**2*x + 2*w*x - 115*w + 2*x wrt w?\nAnswer: -120*w*x - 36*w - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 + -4.4. Let c = z - -6.03. Which is greater: c or -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.15, 2, -0.2, -70, 3\/4 in descending order.\nAnswer: 2, 1, 3\/4, -0.15, -0.2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7 = -8. Suppose 3*i - 7*i = 3*l - 996, -u*i - 5*l = -747. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4\/5*f**2 - 24\/5*f + 36\/5 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*((-2868)\/2629)\/(78\/99)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412\/9 + (-10)\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 + 5*m - 1. Let w be y(4). Suppose 0 = -w*f - 0*f + 6. What is the derivative of f + a - 4 + a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Suppose -s + 0 = -t. Solve g + 0*g = -s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + c**2 + 7*c**3 - 4*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*282\/(-6)*(-8934)\/(-22335).\nAnswer: -94\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(126)\/((sqrt(36) - (sqrt(900) - sqrt(36)))\/sqrt(4) + sqrt(9)))\/((sqrt(128) - -4*-1*sqrt(128)) + sqrt(128) - sqrt(128) - sqrt(128)).\nAnswer: -5 + sqrt(7)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -171.28924 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 0.4 (c) -0.5 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 185\/(-2)*(2 - 130). Let w = a + -62840. What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -3*c. Let p(t) = t**2 - 4*t - 2. Let z be p(c). Suppose 3 = -3*d - z. Sort -1, -5, d in decreasing order.\nAnswer: -1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99323 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5762.\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -49.33582.\nAnswer: -49.23582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1\/371523, -1, -3.\nAnswer: -3, -1, 1\/371523, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4165 + -2869. Calculate the greatest common factor of 81 and a.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3205430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -43*f - 40. Let k be u(-1). Find the third derivative of -24*o**k + 94*o**3 + 78*o**3 + 176*o**2 + 1471 - 1471 wrt o.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5888, -11452, -17016, -22580, -28144, -33708?\nAnswer: -39272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egrgeeg. Give prob of sequence re.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -2*u - 5*c + 49, -133 = 12*u - 5*c + 74 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - 0.36. Let d = -0.524 - o. Round d to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/4)\/((35\/(-630))\/(3\/63)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4\/3*168\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.21 + 7.2. Round i to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4407403 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-6)*f*f*f)**39)**(-3\/14) assuming f is positive.\nAnswer: f**(117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)*f*f*f**(15\/2))**34 assuming f is positive.\nAnswer: f**(-255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2643 is divided by 153?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:59 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*64\/(-400).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 3*h + 54. Suppose -44 = b - h. Suppose -b*t = -5*t + 188. List the prime factors of t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/30 - p**4\/6 - p**3\/2 + 15*p**2. Let d(c) = -3*c**2 - 5*c - 4. Let r = 7 - 12. What is r*g(s) + 4*d(s)?\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/((-41)\/492*6)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -37. Suppose -2*o - u = c, -4*u + 5 + 9 = -3*o. Let b = -9 + 8. Put b, 5, o in ascending order.\nAnswer: o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*sqrt(5) - sqrt(5)) + sqrt(500) + (sqrt(500) - (sqrt(500) + -2)).\nAnswer: 3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6*f - 3*f - 15, -2*d - 4 = f. Suppose -f*k + 139 = 37. What is the remainder when k is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -554?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2005 and -15\/4.\nAnswer: 8020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -199 + 134?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*j + 2*g - 98, -59 = -j - g. Suppose x + 4*x = j. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -11*p - 15. Suppose 0*x = x + 11. Let j = p + x. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 2*o**4 + o**4)*(0*o + o - 2*o + 2).\nAnswer: -2*o**5 + 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-14))\/((-22)\/77))\/(-25 + 24)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 3*x**4 + 6*x**4)*(x + 0*x - 4*x) + (-14 + 219 + 110)*(x**3 + 2*x**5 - 3*x**4 - x**4 + x**4).\nAnswer: 627*x**5 - 945*x**4 + 315*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*p = 743 - 922 - 2221 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/3*(-45)\/30*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + 1 - (2 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405223399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -92.\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(2*w**2 - 6*w**2 + w**2)*(0*w + 3*w**3 + 0*w).\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, -4, 0.098?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 8\/(-24))\/(2\/(-12)). Let z(k) = k**3 + 9*k**2 + 4*k - 8. Calculate z(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**4 - 2685*q**3\/4 + 1521*q**2 - 4065*q\/4 + 339\/2 = 0.\nAnswer: -226, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/2 - 261*j - 521\/2 = 0.\nAnswer: -521, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/(-9) + -7)*(1 - 10). Determine q, given that t - 36*q**2 - 9*q**3 - 19 + 30*q - 12*q**2 - 23*q**3 = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.0111, -3\/2, -0.1, -1 in decreasing order.\nAnswer: 0.0111, -0.1, -1, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 32, 1\/3, 4\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:38 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -625 + 622.01. Let t = -0.01 + o. Which is the second smallest value? (a) 5 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*o + 3*b, 0 = 4*o - o - 5*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65001851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -264, -401, -540, -681?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49296 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070301 rounded to 5 dps?\nAnswer: 0.00703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3863 and 480.\nAnswer: 1854240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2bdb - 37?\nAnswer: 2ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z = 36 + 104. What is the remainder when (-1)\/(z\/(-61))*(2 + -10) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3527*o**2 - 4417*o wrt o?\nAnswer: 7054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111100111010010 (base 2) in base 6?\nAnswer: -2435254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0 - 2 - 5*b + 3 + 5. Let k be (-69)\/9 + 2\/(-6). Let u(f) = -7*f + 8. Let x(j) = 20*j - 23. Let y(z) = k*u(z) - 3*x(z). Calculate 6*s(c) - 7*y(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 86 and 96 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.03, 0.02 in descending order.\nAnswer: 0.3, 0.02, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-400)\/24)*-98250. What is z rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179535877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 958238 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*h**2 + 16*h**2 - 153*h + 17*h**2 + 16*h**2 - 15*h**2 + 18 to y*h + g*h**2 + k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179862 is divided by 89676?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3501\/(-31509)*(24\/(-50))\/2?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 2 - (-8 - -8). Suppose -4*n = u + 11. Let d = 605 - 600. Put d, n, 1, 3 in descending order.\nAnswer: d, 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 570 and 1560.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*(-4)\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, x: 4, q: 2, w: 1, h: 3}. Give prob of picking 1 w and 2 h.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -221984.434 take away -91616?\nAnswer: -130368.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 847677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -879, -1882, -2831, -3726, -4567, -5354, -6087?\nAnswer: -6766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + 5*sqrt(400)*3)\/(-5*sqrt(605)*1).\nAnswer: -64*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*v - 3491, 1442 = 2*a + 2*v - 5530. Suppose 2820 = 4*r - 5*s, -a = -5*r + 3*s + 25. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -483a34 (base 11) to base 13\nAnswer: -20abc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -5) + -7 + (-8 - 2 - 5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/36)\/(18\/(-6027033)). Let x = u + 27901. What is the common denominator of x and 103\/28?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*a + 5*x + 24 - 28, -3*a + 2*x - 12 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 3\/4 (b) 0 (c) -3 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -30, 9546, -1 in increasing order.\nAnswer: -30, -7, -4, -1, 9546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6363397631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose 57 = -5*h + 192. Suppose y*m = 153 + h. What is the greatest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100110010 + 1001?\nAnswer: -1000100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5462 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 16. Let f be w(3). Let i = f - -15. Solve -2*s - s + 5*b = -11, i*s = -2*b - 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 54\/21 - -2. What is the third biggest value in 3, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -44.5. Let f = d + -2. Let k = f + 4. What is k rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight fifteenths of a day in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11013411 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 20.6 (c) 0.3 (d) 1\/2 (e) 3 (f) -0.99\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -1, 33, 89, 173, 291, 449, 653?\n\"Answer: d**3 + 2*d**2 + 5*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3263\/455 + -11 - (-40 - -37 - 3\/3).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/9 - 7036*v\/9 + 380930\/9 = 0. Calculate v.\nAnswer: 55, 3463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394\/5*2 - 82\/(-205) is divided by (450\/360)\/(1\/16).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, n: 3, h: 2, s: 2, c: 5}. What is prob of picking 2 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 - 6) - (-4 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + -56724?\nAnswer: -56707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/16709 and 6\/245861?\nAnswer: 1721027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 2*c + 1. Let g be t(0). Solve 3*h - 4*k - 2 = 0, -2*h + 0*k + 5*k = g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0610145 + -0.061. Round l to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 11*u + 28. Let y be l(-13). Suppose y*s + 4*g = 5214, -3*s = 2*g - 0*g - 7825. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -1, 5 in ascending order.\nAnswer: -12, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 28.6461nm?\nAnswer: 0.0000000000286461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -686*s + 2 + 885*s + 5964*s - 4 + 2498*s to the form w*s + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 8. Let o be k(13). Is -3*(-165)\/o*4\/6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 10 = 25*n. Suppose -225 = -7*l + 2*l - n*c, -2*l + 100 = 4*c. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6618976 divided by 4\nAnswer: 1654744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 8 + 11 - -7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 a factor of 47500403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i + 5*z - 10, 0 = -i + 2*z. Suppose 1824 = i*v + 424. Let t be ((-14)\/5)\/((-10)\/v). Calculate the greatest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + v = -23, -3*v - 15 = -4*m + 6. Let z be (m\/(-4))\/(3\/(-4)). Find the second derivative of r - r**5 - 2*r + z*r wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 45\/4. Let s(h) = h**3 + 5*h**2 + 2*h - 5. Let f be s(-4). Let i be (-2)\/f*(3 - 0). Which is the closest to x? (a) 5 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13\/5 - -167\/120. Calculate the common denominator of (213\/(-20))\/(17118\/1585) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/27, -1198\/11, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*u + 136. Suppose 162 + u = 4*s. Let t = s - 36. What is the remainder when 27 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 1. Let l(f) = -f + 11. Let v(k) = l(k) - 4*x(k). Let h be v(-7). Let u(q) = -q**2 - 9*q - 15. Let c be u(h). Solve 0 = c*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:26 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 251.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Let y(i) = 5604*i. What is w(y(g))?\nAnswer: 5604*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67731609.\nAnswer: 3, 11, 2052473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 6*x - x + x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 5*s**2 - 7*s + 8. Let p be h(6). Let t(w) = w**3 - 3*w**2 + 3*w - 1. Let y be t(p). What is the closest to -0.1 in y, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2653 - -0.006191431\nAnswer: -2652.993808569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -751 - -756. Suppose -3*u - 113591 = -d, o*d + 11*u - 567988 = 15*u. What is d rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -3.04. Let l = -1 - -6. Let j = -0.9537 - 0.0463. Which is the closest to j? (a) 0.2 (b) y (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*1*6)**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -762, -764, -766?\n\"Answer: -2*g - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15048*p**5 - 80*p**3*z - p*z + 28759*p - 10*z - 2 wrt p.\nAnswer: -300960*p**3 - 480*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - o - 2*o - 4)*(2*o**3 - 3*o**3 - 5*o**3).\nAnswer: 18*o**4 + 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 9. Suppose j + o = 21. Calculate the lowest common multiple of 2\/((6\/j)\/1) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, -0.4, -0.1, 4, 1\/12 in decreasing order.\nAnswer: 4, 0.12, 1\/12, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39171 and 87838.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5523 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: What is the nearest to 0 in 3\/8, -5, -15?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 + -2 + (0 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140719616.\nAnswer: 2, 274843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9598 - 9597. Is a at most as big as 55\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0 + 0 + 1 + 1 + (-3 + 2 - 3)*(-2 + 5 - 1) + 2 - 2 + 5)*(3*t + 2*t - 3*t) to w + z*t and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29265, 58676, 88061, 117414, 146729, 176000, 205221, 234386?\nAnswer: 263489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 6*o - 252. Suppose -3*a - o = a - 2*b, -12 = -a - 4*b. List the prime factors of 215\/(-2)*a\/10.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11211 or 11213?\nAnswer: 11213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwxj when four letters picked without replacement from {x: 2, w: 2, j: 1, b: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q - 133*q = 1151 + 1949 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 43 - 628. Let n = r - -601. Let z(t) = t - 20. What is z(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9291?\nAnswer: 3, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1725*i - 34*i**2 - 2 + 32*i**2.\nAnswer: -2*i**2 + 1725*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -138ac (base 14) to base 13\nAnswer: -19028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 + j**2 - j + 1. Let p be d(1). Sort 1, -5, p in ascending order.\nAnswer: -5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 28292*a\/7 + 28290\/7.\nAnswer: 2*(a - 14145)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let q = 36 - 9. Suppose y = -5*n - 4*y + 10, -y - 8 = -4*n. Suppose 51 = -3*o - c + 292, n*o - 160 = -c. What is the greatest common factor of q and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 36 = -3*o. Suppose -3*f - 156 = f. Let j = f - -73. What is the remainder when j is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9064 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g**4 - g**2 + 0 - 1\/840*g**7 + 1\/120*g**6 + 0*g + 0*g**3 - 1\/60*g**5. Factor u(n).\nAnswer: -n**2*(n - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -28*n**5\/5 + n**4\/12 - n**3\/3 + 3*n**2 - 41*n. What is the second derivative of f(w) wrt w?\nAnswer: -672*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 + 0 = 0. Let x = 50375.06 - 50375. Which is the closest to 0? (a) 1\/4 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j - 59 = w - 49*j, 95*j = 11*w + 100*j + 145 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 34*z**2 + 99*z - 3347. Let k be d(34). Are k and 232\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 5431805.\nAnswer: -5431810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/910 and -67\/65.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 86.\nAnswer: -5\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {j: 1, m: 3, k: 1, v: 1, a: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = l - 2*z - 4, -6*z + 24 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3304)\/118)\/(4\/6)*(-4)\/(24\/(-3))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2603 at least as big as 5053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10622 + -10374. Calculate the remainder when v is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/655938 and 107\/2160.\nAnswer: 26237520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8932.\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 454965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1716 and 8424.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4 - 6 + 2 - 5*r + 2 + 2*r**2. What is the units digit of y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*i + 2*d + 13, 4 = -4*d. Which is the smallest value? (a) 0.5 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 7*f - 446. Let x be w(-25). Solve 0*l - 18 = -p + x*l, -5*l = -2*p + 21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5369, 5374, 5383, 5396?\n\"Answer: 2*t**2 - t + 5368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 4681 and 4718 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 - (3 - 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126 or 3382\/27?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - -a?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrklkkb. What is prob of sequence rk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.1. Let v = 12314 - 12312. Which is the closest to -3\/4? (a) g (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*x + 42. Let s = 7 - x. Solve s = -y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-32)*3712\/348\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(208\/442)*4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13)*4 + 3 - sqrt(13))*-4.\nAnswer: -16*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 12. Let i be j(11). Let d = i + 41. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 5*w**2\/2 - 29. Let p(a) = 6*a**2. Determine d(p(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q**3 - 2*q)*(2481*q - 4966*q + 2486*q - 399).\nAnswer: -q**4 + 399*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 1, m: 1, h: 5, l: 3, c: 1}. Give prob of sequence hi.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -56.078607?\nAnswer: -53.078607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -687*p**2. Let b(g) = g + 27. Calculate b(u(k)).\nAnswer: -687*k**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -150, -0.07, 4, 0.4, -4 in increasing order.\nAnswer: -150, -5, -4, -0.07, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 6 = 24*p. Let f(d) = -20*d**3 - 7*d**2 - d + 2. Let a be f(p). Which is smaller: 134 or a?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**4 - 7*d**4 + 3*d**5 + (-2*d**2 + 2*d**2 + 2*d**2)*(d**3 - d**3 - 2*d**3).\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -44056?\nAnswer: 44058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/33 - (-7 - 175\/55). Suppose -2*w + s = 6. Solve 2 = 2*o - w*r + 5*r, -3*r = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-14) - (-65)\/(-35). Let h(t) = -2*t - 6*t - 4 + 6. Calculate the smallest common multiple of 18 and h(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Find the common denominator of -35\/111012 and -53\/27434.\nAnswer: 4773516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/2 + 363*u**3 + 43191*u**2\/2 - 44286*u + 22326.\nAnswer: 3*(u - 1)**2*(u + 122)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -23*r**4\/4 - 27*r - 7. Differentiate t(d) wrt d.\nAnswer: -69*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21719835 is divided by 294?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5274 - -5273.5. What is the second smallest value in -56\/5, x, -0.08?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 39*h - 36. Let w be l(-40). Solve -7 = -11*r + w*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38376245\/168 - 228431. Calculate the common denominator of 89\/308 and r.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27265957?\nAnswer: 31, 149, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3 - 3600*i**2 + 76788*i + 4377360 = 0. Calculate i.\nAnswer: -1220, -26, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 78*p\/5 + 28.\nAnswer: 2*(p - 5)*(p - 2)*(p + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1380*n - 28632 = -174*n + 1643*n + 730*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, x: 15}. What is prob of picking 1 x and 3 u?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 300.\nAnswer: -11\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 998\/11 bigger than 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -6 + 8 + (2 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 5. Let j(a) = 19 - 183*a + 181*a - 7. Let n be (-3)\/4 - 45\/(-12). Suppose -24 = i - n*i. Determine i*o(g) - 5*j(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4) + -1 + (sqrt(10)\/sqrt(5) - sqrt(2))*-6.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*l = 52*c + 277*l + 308, -2*c + 38*l = 35*l + 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 5*z**2 + 2*z - 7. Give w(7).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 370901*h + 3*h**3 - 185275*h - 185626*h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -78105805.\nAnswer: -1\/78105805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/4624*1037*-4\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31\/5 in 0.1, -3\/8, 0, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -100?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0.15. What is c rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 19 = 4*c, -5*c + 16 = 2*y - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.797511 grams?\nAnswer: 797.511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4, -2*u - 2*u - 44 = 5*z. Let n be (-4)\/z - 2\/4. Suppose 2*s - 3 - 3 = n. Solve g = 2*g + s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**2 - a**2 - 5*a**2)*(3 + 3 - 3)*(17 - 6 + 1) in the form h*a**2 + m*a + c and give h.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1682887\/448 at most -3756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7163\/3 + -2389. What is the third smallest value in 6, 2\/7, 0, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1375 - -1964. Let k = p + -586.3. Round k to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Solve s + 5*o = z, s - 4*o + 4 = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:31 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -20 - -16 - (-203 + 1). Suppose j - 3478 = -u. Round j to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 10*h**2 - 8*h - 7. Let i be c(9). Let u = i + 4. Let f = 20 - 6. Calculate the lowest common multiple of u and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2\/2951 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106291 - 106291 - 43*f.\nAnswer: -43*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367694 + 1762876 = -39*j. What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8801*-7*(-48)\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -3, -53.63?\nAnswer: -53.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737094.\nAnswer: 2, 3, 122849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 5*h - 2 - 219*h**2 + 4 + 149*h**2 - 4*h to w + p*h**2 + l*h and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/189 and -53\/52794.\nAnswer: 158382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 8*p + 22. Let d be r(-10). Solve 12 = -5*t - 3*i, -t - 5*i + d = -0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3193215 is divided by 232.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 8*n - 4. Let w(s) = -s**2 + 18*s - 23. Let i be w(16). Let v be (-1*i)\/((-33)\/22). Give j(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31356.\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -6. Let a = 3494 - 3489. Suppose 5*g - a*p = 595, 151 - 20 = g - t*p. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34549578?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**4 + 78*k**3 + 5*k**4 - 3 + 78*k**3 - 159*k**3 as p*k**2 + f + l*k + d*k**4 + n*k**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*k - 258 - 168 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17336 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: Suppose 0 = 3*l - 5*h - 423, -839 + 94 = -5*l - 5*h. List the prime factors of l.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 k, and 1 m when three letters picked without replacement from {m: 3, z: 2, k: 5, c: 9}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 498 + -503. Let j(q) = -15*q**2 - 72*q + 17. Let u be j(-5). Put u, 7, a in increasing order.\nAnswer: a, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**2\/2 + 12*r + 45\/2 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/82636 and -23\/8?\nAnswer: 165272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 12*z**2 - 11989*z + 167472. Determine j(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-23))**(-23)*(q**(-2)\/(q\/(q**(2\/17)\/q)))**(-10) assuming q is positive.\nAnswer: q**(9653\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -2, 12, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-50)\/15)*6*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbcbbbc. Give prob of sequence bcb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 181 = 4*a - o, -a + 4*o = 19. Let s = a - -79. Suppose 14 - s = -2*x. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9054317.\nAnswer: 19, 41, 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**4\/24 - 130*s**2. Let c(n) = n**2. Let l(y) = -3*y**2. Let r(o) = -13*c(o) - 6*l(o). Calculate w(r(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5743470 and 17996206.\nAnswer: 269943090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 550 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 8:14 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d**3 + 6*d**3 + 29*d**3)*(3 - 3 - 2)*(2*d - d + 0*d).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325 by -65.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -4, 30647, -54 in descending order.\nAnswer: 30647, -4, -40, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/9 - 47881*p**2\/9 - 95759*p\/9 - 47879\/9 = 0.\nAnswer: -47879, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(2\/9)\/c)*c**(1\/5))\/(c*c**(3\/2)\/c*c\/(c**8\/c)) assuming c is positive.\nAnswer: c**(583\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.001 - -49.499. Let j = 49 - o. Let t = -0.3 + 0.1. Which is the closest to 1? (a) t (b) j (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*s**2*w**3*x**2 + s**2*w**3*x + s**2*w - 3*w**2*x + 2*w*x**2 - 6*x**2 wrt w?\nAnswer: 330*s**2*x**2 + 6*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 24 + 9*b - 6 to i + c*b and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 + (8 - 7)) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*a - 2*j, -5*a - 5 = -3*j + 6*j. What is the third derivative of 10*q**2 - 2*q**3 + a*q**3 + 106*q**5 - 75*q**5 wrt q?\nAnswer: 1860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/143 and 29\/132?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 7*i - 44 = -3*i, 16*o - 16849 = 4*i - 16441 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 11*w**4\/4 - w**3\/3 + 57*w + 7. Find the first derivative of r(o) wrt o.\nAnswer: 33*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-19 + 31)) + 13 + 17.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -20. Suppose -1 = 2*v + u*n, 3*v + 3 = 5*v + n. What is g in -8\/3*g**2 - v*g + 2\/3 = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 228\/120 - ((-117)\/(-30) - 4). Let b(j) = 6*j**2 - 1. Determine b(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 42*s**3 + 11*s**2 - 34*s - 62. Calculate b(-2).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107670986 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 + 2*v - 6. Suppose 4*t = 20, -4*t + 10 = -4*q - 2*t. Suppose q = b + 7 - 2. What is the remainder when 14 is divided by m(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -19. Suppose 31 = 2*p - k, -4*p + 2*k = -2*k - 56. Suppose 4*q + p = 25. What is the highest common divisor of q and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**6\/105 - 32*g**5\/35 + 299*g**4\/42 - 236*g**3\/21 + 3347*g. Suppose z(v) = 0. What is v?\nAnswer: 0, 1, 4, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, 0.1, -2\/17, -6129, -8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2181898764 rounded to four dps?\nAnswer: -0.2182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 3, y: 1, w: 6, l: 4}. What is prob of sequence sss?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34333 and 1742091?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15708328, -31416641, -47124968, -62833315, -78541688, -94250093, -109958536?\nAnswer: -125667023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/5 + 23*d**3 + 4481*d**2\/5 + 61901*d\/5 + 106782\/5 = 0.\nAnswer: -39, -37, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 297, 472, 645?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118854.\nAnswer: 2, 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5254*k + 132047. Give m(-25).\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 32*b**2 - 7*b**2 - 6*b**2.\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - -5 - (-910 + 923).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 1482.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 593 = -5*b, -16 = u + 3*u. Suppose 80 = 125*c - b*c. What is the smallest common multiple of 16 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69324 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 8:16 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 43 - 40. Solve 3*u + 6 = -l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.618 rounded to one decimal place?\nAnswer: 38.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-10 - (-41 - -34)) + (-33 - -1) + -7?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 23*o**2 - 59*o - 213. Determine u(-3).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -97289229*u. Let i(q) = -2*q. Calculate m(i(d)).\nAnswer: 194578458*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*l - l + 12, -3*l = 2*s - 1. Solve 0 = -5*f - g - 5, s*g + 5 + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -818 + -25.\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 97554*m + 292660\/3.\nAnswer: 2*(m + 1)*(m + 146330)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27.42874 * 14\nAnswer: -384.00236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 102*x - 107*x - 49 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 2833883.\nAnswer: 3\/166699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-1 + 0 + 0)*(-833*a + 593*a + 782*a).\nAnswer: 1084*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 3 + (0 - 0). Suppose 0 = 2*l - n*l + 112. Let f = -20 + l. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -769*d*x**5 + d*x**4 + 18*d*x**2 - 2*d*x + 420*d + 2*x wrt x.\nAnswer: -46140*d*x**2 + 24*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218 - 146. Suppose 103*i - 105*i = -q. Calculate the greatest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaww when four letters picked without replacement from waoxwxabwkwaaawww?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1930 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*q + 27, 11*q + 16 = a + 7*q. Solve 3*f - a*n = 7*f - 12, 2*n = -2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-138)\/72 + (2 - 1). Let p be (-5)\/20 - 50\/36. Let a = u - p. What is the common denominator of a and 85\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlz when three letters picked without replacement from {z: 5, d: 5, l: 1}.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, m: 3, k: 1, p: 5, b: 8}. Give prob of picking 1 b, 1 c, and 2 p.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2074208 is divided by 1037081?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -15*y**2 + 0 + 0*y + 11\/24*y**4 + 0*y**3. Let q(j) = -j. Give q(k(z)).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + (-26)\/(-6). Let f = 15 + -9. Solve w = -3*o + f*w + 37, -2*w = n*o - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37656231 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 8:12 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3*(-15)\/9 - 0)*(-2)\/(-828) and 31\/759.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15624498 is divided by 232.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 676 + 593 - 1212 = 0. Determine l, given that 0*l**2 - 2*l - 4\/3 + 2\/3*l**y = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 k when three letters picked without replacement from zzazakzkaz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12291 and 3978?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -311 - -319. Solve -5*a + 0 = -2*c - 1, 4*a = 4*c + w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 + -5) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*d + 70, 0*d - 70 = -5*k - 2*d. Let x = 30 - 25. Suppose -2*y + x = -y. Calculate the remainder when k is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0) + (-5)\/1. Let w(y) = y**3 + 59*y**2 + 856*y - 111. Let i be w(-26). Which is the closest to i? (a) j (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 275, 1\/4, 1\/3 in descending order.\nAnswer: 275, 1\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -14*v**2 - 27*v + 13. Let d(r) = -7*r**2 - 14*r + 6. Let p = 57 + -70. Let f(b) = p*d(b) + 6*q(b). Find the second derivative of f(n) wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2965400 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*q + 5, -7 - 3 = -h - q. Let z(f) = -3*f + 69 - 62 + h*f - f. Determine z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 584 - 559. Solve -v = 5*k, -6*k + 11*k = h - 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.309 take away 33356729?\nAnswer: -33356728.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 - -122 - (0 - (27 - -4))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 17*a**9\/504 + a**5\/10 + 12*a**2. Find the third derivative of h(u) wrt u.\nAnswer: 2040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 23*h**5\/20 + 43*h**4\/12 - 2*h - 23. Find the third derivative of c(n) wrt n.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/5 - 8*d\/5 + 24\/5 = 0. Calculate d.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(75) + (-1*sqrt(75))**2*-3 + sqrt(75) - 5*sqrt(75)*-2)*-3 - (1 + -3*sqrt(12)\/sqrt(4)*-3*-2).\nAnswer: -177*sqrt(3) + 674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-5)))**44\/(((i\/i**(7\/4))\/i)\/(i**(-7\/8)\/i*i)) assuming i is positive.\nAnswer: i**(1767\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27000?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6 + b + 0 + 3 + 2. Let u be i(-7). What is the second derivative of -10*f - 15*f**u + 2*f + 23*f**4 wrt f?\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.96 - 2.56. Put -3, n, 0.5, 0 in descending order.\nAnswer: 0.5, n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 5*u + 25, 854*c = 850*c + 70*u + 83 + 177 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1136 and -29\/1601760.\nAnswer: 1601760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 4*g)*(-1 + 3 - 4)*(-4 + 0 - 1)*(-8 - 9*g**2 + 8).\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0, 10\/3, 4\/7?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/11)\/(w*w**9))**31\/((w\/w**4)\/w*w**(3\/7)*w)**15 assuming w is positive.\nAnswer: w**(-21117\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 19. Let o(l) = -l - 13. Let z be o(-9). Let h(v) = -2*v + 2. Let r be h(z). Calculate the greatest common factor of u and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 162707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 5. Let x be (-18)\/(-42) + 568\/14. Let b = x + -29. What is the remainder when 31 is divided by r(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*k + 604, 5*k = -4*u + 932 + 1458. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 30 - 52 + 2289*c + 8545*c in the form q*c + t and give q.\nAnswer: 10834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3394234*p - 707 - 3182 - 21*p**4 + 3394304*p wrt p?\nAnswer: -84*p**3 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7582*c**4 - 11*c + 176?\nAnswer: 90984*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/12, -0.1, 6, -1, 0.2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*b + 9. Let x be 5*(b\/1)\/(-10 - -9). Suppose -x*d = 0, 0 = -5*o + 2*d + 14 + 26. Solve -p = 2*p - t + o, -3*p + 4*t + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.73093 and 2.\nAnswer: 7.46186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**4 + 2*n**2 - 2*n + 57. Let i(r) = -13*r**4 - 5*r**2 + 4*r - 112. Let c(a) = -2*i(a) - 5*l(a). Differentiate c(o) wrt o.\nAnswer: -16*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/11 - 0) + 135\/(-165). Which is smaller: g or 28?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnnnjnjnjnnnjjnjjjjj. Give prob of picking 1 n and 1 j.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -197 - -181. Is v bigger than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - l - 3*l + (0 - 2 + 5)*(l - 5*l - 2*l))*(l - l - 2*l**2 + (-l + 0*l + 2*l)*(l - 4*l + 2*l)).\nAnswer: 51*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2320165778984 and 4.\nAnswer: -2320165778980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.25049 years in millennia?\nAnswer: 0.05125049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2332 or -2341?\nAnswer: -2341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5188, 5190, 5192, 5194, 5196?\nAnswer: 5198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2*k**3\/3 - 4. Let f(q) = 18*q - 11. Let a(m) = -3*m + 2. Let b(t) = -11*a(t) - 2*f(t). Calculate b(c(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 20*f - 8. Determine q(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 422822688*c**3*g**2 + 977*c**3 - 21*c**2*g - c*g + 2*g + 72 wrt g?\nAnswer: 845645376*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6296 and 34616.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 213418 and 73541.\nAnswer: 286959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3727, -14960, -33689, -59902, -93587?\n\"Answer: 2*h**3 - 3760*h**2 + 33*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 minus -76.46270059561?\nAnswer: 76.43270059561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20034 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8826119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/16 and -71\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -67*j + 59*j. Calculate the least common multiple of j and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*y**5\/7 - 1668*y**4\/7 + 2205006*y**3\/7 + 11053092*y**2\/7 + 17699400*y\/7 + 8852976\/7 = 0. What is y?\nAnswer: -759, -2, -1, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 72?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 - 116. Solve y = -f + 2, s*f - 3 = 2*y + 4*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 941 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 4 - 4. Let t(k) be the second derivative of k**4\/2 + 10*k. Determine o(t(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345 - 345 + 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9609.4 * -1\nAnswer: -9609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 92594?\nAnswer: -92592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1. Let y(n) = -60*n**2 - 3. Give 4*g(z) + y(z).\nAnswer: -60*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3363346 by -3041.\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2996*w - 5271*w - 5505*w.\nAnswer: -7780*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) + 129\/(-15). Let x(p) = p**2 + 7*p - 5. Let t be x(b). Solve -3*v + 2 = -t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**4 - 2*i**3 + 3*i**2 - 4*i - 5. Let b = 2 + -3. Let x(h) = h**4 + h**3 + h + 1. Let g(k) = b*d(k) - 5*x(k). Let g(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46 - (-1691)\/190 - (-2)\/20. Solve 4*p + 83 = f for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 25*k**2 - 3*k - 4. Let t be x(2). What is the greatest common factor of 36 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c - 9 = -2*r, 3 = -3*r + c. Suppose -9*h + 4*h = r. Let f(w) = -w**2 - w - 200000. Let i be f(h). Round i to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2)*14\/(-6 - 36). Let y be (0 + n)*3*5\/(-45). Solve 3*g = 2*b - 0*g - 5, 3*b + 5*g - 17 = y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -0.407498 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*q**2\/11 - 38*q\/11 - 156\/11.\nAnswer: 2*(q - 3)*(15*q + 26)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 + 13*s. Let l(y) = 2*y**2 + 7*y. Calculate 10*l(x) - 6*q(x).\nAnswer: 2*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/(-4) - 6)*372. Let h = 10 + -7. Suppose d = h*o + 3*o. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431832137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-9))\/(4 - 6) - (-11)\/90?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -879 divided by 4\nAnswer: -879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 302449.1 years in months?\nAnswer: 3629389.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 18 + 50. Let x be -1 + -1*(0 + 5). What is the tens digit of (x - i)\/(2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*v + 3524, -4*l + 9*v - 6*v + 4701 = 0. Suppose 0*n = -7*n + l. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(sqrt(91)*1 - sqrt(91)))\/(((sqrt(56) + sqrt(56)*-2)*5)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -8. What is the remainder when 23 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -1, 458, 5, 2.\nAnswer: -1, 2, 5, 90, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-6) - 3)*561\/374.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14*12\/8*(24\/3)\/8\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 3) to base 6\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(14\/(-4) + 2). Suppose -5*y + 387 = 3*m, 0 = -u*y - 2*m + 88 + 66. Let h = 130 - y. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + z - 12 = 0, -4*z - 1517 = 5*q - 1514 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 5*l**2 + 16*l - 11. Let i be u(10). Let c = i + -637. Solve 0 = -6*y - 6 + c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 2, g: 5, t: 5, i: 5}. Give prob of sequence ggg.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 12. Let i be g(8). Suppose 8 = -d + i*a, 5*a + 15 = 3*d - 8*d. Is (446\/d)\/(7\/(-14)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 + -2450\/9. Let j = -0.2 + 0.1. What is the nearest to j in f, 3, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 52835643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or 51?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/7 (c) -556 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (-21 - -9))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-3) + 3 + 7\/42?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24 and (-3)\/264*-8 - 7010\/10560.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.8. Let n = 16858 + -16858.2. Which is the second smallest value? (a) -1 (b) n (c) 8 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5573 divide 870599502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2201 (base 3) to base 4\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.9 + -36.1. Let c be (-3)\/(-6)*8\/(-12). Sort c, -3, h in decreasing order.\nAnswer: h, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**(-3\/7)*r)))\/(r*(r**(-3)\/r)\/r))\/(r**(-1\/8))**(-8) assuming r is positive.\nAnswer: r**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -203*o**3 + 3544*o**5 + 82*o**3 + 121*o**3 + 3849*o**5 + (-2*o**4 + 5*o**4 - 5*o**4)*(-5*o + 2*o + 2*o).\nAnswer: 7395*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x. Suppose -4*c + c + 6 = x. Suppose s + c = 3. Which is bigger: s or 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 14. Let o be j(7). Suppose -2*x = -o*l + 2*l + 93, 0 = 2*l + 3*x - 41. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-44)\/(-14) - 3) + 1895517\/91. What is v rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 e when four letters picked without replacement from {e: 5, t: 2, y: 5, n: 1, v: 1, h: 1}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 27 + 19)*(-2*s**4 + 2*s**4 + 2*s**5).\nAnswer: -96*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/(b*b\/(b**2\/b)))**(-1\/7) assuming b is positive.\nAnswer: b**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*w + 153 - 453 = -295*w + 176*w for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 + (-156)\/91. Is 152 - (l + -1 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1. Let m(l) = 2*l + 3. Let i = 82 + -81. Let u(n) = i*m(n) - 4*w(n). Calculate u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:20 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 7*h**2 - 7*h. Let x be j(6). Let b be (-27)\/81 + (-38)\/x. Solve -2*s + 2*i = 0, b*i = -s + 5*i + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 5*l - 4 - 13 + (-1 + 2 + 2)*(-3*l + 5*l + 0*l) as r*l + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:25 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -1\/4, 3, 0.14, -0.4 in descending order.\nAnswer: 3, 0.14, -0.02, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 5. Let l be b(-3). Suppose 3*f + 3*s - 45 = -0*f, -4*s - 102 = -5*f. List the prime factors of ((-12)\/f)\/(l\/(-57)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let a(z) = -91*z + 44*z + 2*z**2 - 13*z**2 + 50*z. What is a(j) + 3*m(j)?\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 51600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1cb1e (base 16) to base 2\nAnswer: -11100101100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6\/b**3*b**7\/(b*b*b**(-2\/35)) assuming b is positive.\nAnswer: b**(282\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 + 2*y + 2. Let z be w(-1). Suppose 0*v - 2*v - 3*b + 9 = 0, -z*v - 2*b = -22. Let a(j) = -j + 2*j + 0*j - v*j. Let t(x) = -x. Give t(a(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5765?\nAnswer: 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) -4\/45 (c) 1.01 (d) -0.8 (e) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-54))\/(11\/(-18)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -461. Let y = -340 - j. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/6*(((-25)\/5)\/390)\/(4758\/(-10309)).\nAnswer: 7\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + s + 2. Let m = -1 + -1. What is the tens digit of a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 + 3*a**2 - 2*a - 5. Let m(t) = -2*t**3 + 2*t**2 - t - 2. Calculate 3*c(q) - 5*m(q).\nAnswer: -2*q**3 - q**2 - q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f - 133. Let a(l) = -3*l - 38. Let w(g) = 14*a(g) - 4*y(g). Let b(r) = 1479*r. Determine w(b(i)).\nAnswer: -2958*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + r - r + (3*r**2 - 2*r**2 - 3*r**2)*(-2*r + 4*r - r) + (2*r**3 - r**3 + 2*r**3)*(0 + 1 + 1).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253529 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 675*f**4 + 3575*f**2 wrt f?\nAnswer: 16200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -12. Solve 0 - 3 = -i*x + k, -10 = -5*x + 3*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-91)*(-9555)\/1470?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/7)\/((x**(1\/5)\/x)\/x*x))\/(x**(-1)\/(x\/(x*x\/(x\/(((x*x**(-1\/7))\/x)\/x*x))))))**(-2\/59) assuming x is positive.\nAnswer: x**(-106\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.2 - -18.2. Sort 3, 2\/15, k in decreasing order.\nAnswer: 3, 2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2962673 and 402?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)\/i**14)**(-20)\/((i\/(i\/(i*i**(2\/7))))\/(i*i**(2\/9)))**(-36) assuming i is positive.\nAnswer: i**(3236\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 + 3811608?\nAnswer: 3811510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 0. Let z be 99\/(-54) + 4\/3. Let q = -2.3 - 0.7. What is the second smallest value in q, z, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -1 - 4. Let f(t) = -5*t**2 + 3*t**2 + 7 - 6*t - 2*t**2 + t**3. What is f(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 13*j + 4. Let o be q(9). Suppose 0 = -5*d - h + 63, 69 = 17*d - 12*d - 2*h. What is the highest common divisor of o and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 883287 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**3 - 7*i**2 - 13 + 5*i**3 - 16*i**2 + 6*i**3 + 4*i**3. Let l(a) = -a**3 + 4*a**2 + 2. Let v(b) = -6*j(b) - 39*l(b). What is d in v(d) = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u - 6. Let n = u - -13. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**6\/120 + i**5\/30 + i**4\/6 - i**3\/3 + 3*i**2. Determine z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e (base 16) in base 15?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 44 - 1413*z**2 + 26 + 29 + (-1 + 0 + 0)*(-3*z**2 + 2*z**2 - 4*z**2).\nAnswer: -1408*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 5, o: 4}. Give prob of picking 2 s, 1 o, and 1 b.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 5240351.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 = 5*j, -4*n = 4*j + 28. Let d = n - -10. Suppose -4*x + 55 = x + 4*g, d*g - 31 = -3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (-34 + 80) - (0 - 2 - -20).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5889.1019 to the nearest ten.\nAnswer: -5890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -28*r + 574. Give s(22).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 58*k**2 - 411*k + 537. What is o(50)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:05 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4 - 520*m**3 + 16336*m**2 + 39072*m - 139392 = 0.\nAnswer: -4, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -5 (c) -4 (d) 0.06 (e) 128.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bllllbb. Give prob of sequence llll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**4\/16 - 85*p**3\/12 - 87*p**2\/4 - 1168. Factor k(c).\nAnswer: c*(c - 87)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -141300330?\nAnswer: 141300340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -62. What is the remainder when 14 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 5*u**2 + u + 12. Let t be d(-5). Let q(h) = -2*h**2 + 15*h - 3. Let f be q(t). Put -7, f, -1 in increasing order.\nAnswer: -7, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - (26 - -3)) + 40\/10. Is -204\/11 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-180))\/(2\/7)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 26868 = 5*k, 3*w + k - 6796 = 20060. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18336 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.3 (b) -11 (c) -81 (d) 0 (e) -0.12 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -882418 - -882426.39914. Let s = -6577 + 6585.4. Let q = b - s. What is q rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 9*g + 12. Let r be y(8). Suppose 3*w + i = 2 + r, -3*w + 18 = 5*i. What is the units digit of w\/2 + 69\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-24)*s*s\/(s**(-9)*s) assuming s is positive.\nAnswer: s**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 0. Let o be 0 + (-3 - -4 - 1). Suppose o*g + 5*g = 10. Solve -1 = 4*q + 3, 2*h + g*q - k = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 19*k - 12. Let u be r(-7). Does 28 divide (u*-3)\/(-2) + (136 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 880*x**2 + 1181*x - 1181*x to the form d + s*x**2 + g*x and give s.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051926475 rounded to the nearest one million?\nAnswer: 1052000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5035 - 2.7035. Let w = -0.2 - -0.6. Let h be (2\/(-2) - 0)\/(-2). Which is the nearest to h? (a) v (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 4704.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -22\/111, -3, -0.3?\nAnswer: -22\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 1. Suppose 2*t = g*t - 9. Suppose -t = 2*y - 11. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10988, -21941, -32894, -43847, -54800, -65753?\nAnswer: -76706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)\/c**(2\/7))\/(c**(-6)\/(c**8*c)))\/(c**(1\/4)\/(c\/c**(-3\/5))*c**2\/(c*c**1)) assuming c is positive.\nAnswer: c**(1549\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -11*n + 5. Let d(l) = 2*l - 3. Calculate 5*d(u) + j(u).\nAnswer: -u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Suppose -h + 0 = -l. Calculate the lowest common multiple of h and 6 + (-2)\/4*-6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-20)\/(-2)))\/(16\/(-320)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 3698?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0398 to 3 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1088\/(-264))\/17*3\/2. Let a = 32\/33 - k. Factor -8*h**2 + a*h + 35\/3*h**3 + 0.\nAnswer: h*(5*h - 2)*(7*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3502669.\nAnswer: 19, 184351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 8*y + 20 = 0, 5*y = -2*w + 45. Factor 12*i**3 + 539 + 2*i - w*i**2 - 539.\nAnswer: 2*i*(2*i - 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224892282 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 450 = 2*r - r, 5*h + 4*r = 1099. Let x = -447\/2 + h. Is 2 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 15, 8 = 4*w - v - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 474, 709, 942?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4345560 divided by 10\nAnswer: 434556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 5*c + 35, -16*c = -5*x - 14*c + 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 4 - (-1)\/1. Suppose 0 = 2*b - 5*b + 9. Suppose -4*i = 4*r - 0*i - 28, 3*i - 6 = 0. Solve v + b = -r*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4897\/4 + -1231. Is k bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 > -143\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -995925.706 - 57296?\nAnswer: -1053221.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2.2. Let q = 0.1 + i. Let a = -0.421 + -0.079. What is the closest to -2\/11 in a, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l - 158 + 122. Put -1, l, -17, 1 in descending order.\nAnswer: 1, -1, l, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c**2 - 5*c**2 + c**2)*(c + 4*c - 4*c)*(-164 + 17 + 16) as k*c**2 + q + f*c**3 + b*c and give f.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, 3\/2, -4, 0.2.\nAnswer: -4, -1, 0.2, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17634, 70532, 158696, 282126, 440822, 634784, 864012?\nAnswer: 1128506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrwrxfwvrvvxrvxx. Give prob of picking 2 w, 1 v, and 1 x.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -26*u - 6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.8834ng in kilograms?\nAnswer: 0.0000000000878834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(580\/(-150))*(1\/5)\/1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 4. What is b(-28)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d - 77410*d**3 + 3 - 345*d**2 + 3*d + 77409*d**3 in the form t*d**2 + s*d + q + p*d**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**4 + 308056*p**3 + 2966040146*p**2 + 8896041168*p + 6671511072.\nAnswer: 2*(p + 19252)**2*(2*p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 15*g + 10. Let l(v) be the first derivative of -2 - 1\/5*v**g + 0*v + 2\/3*v**3 + 0*v**2 + 0*v**4. What is the third derivative of l(m) wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 46903730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1145, -2229, -3229, -4103, -4809, -5305, -5549?\n\"Answer: 7*h**3 - 1133*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*a + 23 = 1, 5*w + 3*a - 36 = 0. Let d(k) = -k + 8. Let c be d(w). Suppose c*l - 4*z + 52 = 0, -2*l - 4*z - 76 = -0*l. Is l at least -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 19 = -x. Suppose x*m - 6*m + 3 = 0. Let n(p) = -4*p**2 + 4*p + 2. Let c(v) = v**2. Let t(g) = m*n(g) + 6*c(g). Solve t(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**3 - 20997*j**2 + 1292166*j + 1313160 = 0.\nAnswer: -7060, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1230, -1203, -1178, -1155, -1134, -1115, -1098?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = 11*i - 4, -b = 4*i - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-781 - 2*r + 878 + 3*r).\nAnswer: -r - 97","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + -0.08. What is the third smallest value in r, 3, 1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {k: 1, m: 3, p: 6, i: 1, j: 5, l: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 8:02 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3627?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14866474 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*-1*(2 - 1). Suppose 2 = -0*g - d*g. Calculate the smallest common multiple of (-4 + -1)\/(g + 0) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 48?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5138 + 16605. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76607455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*z**2\/13 - 94*z\/13 - 4\/13 = 0 for z.\nAnswer: -2\/49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 88 = -12*s. Solve -s*y + 3*y = 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 - 5 - 6734*d.\nAnswer: -6734*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 14 = -2*j, 309 = -4*j + 4*c + 317 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1311201040?\nAnswer: 1311201045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 divided by -34.\nAnswer: 137\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*i + 24 = 0, 0 = 2*b + 2*b - 4*i + 28 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 858965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127374515 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26437 - -26705. Calculate the lowest common multiple of o and 580.\nAnswer: 38860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49875)\/(-693) - 256\/(-8448).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14752*i*y + 3*i - 5*y + 6578 wrt i?\nAnswer: -14752*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 74. Let y be 0*1\/3 + p. Suppose 3*r + 3 = y. Calculate the smallest common multiple of r and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - 3*r + 3*r - 2*r + 2*r - r + (-3 - 2 + 6)*(0*r + 2*r + 0*r) + r - 2*r + 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-45))\/(34 - (-29898)\/(-880))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -146, -219, -294, -371, -450, -531?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69853.3 millilitres?\nAnswer: 69.8533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s**2*y**4 - 116*s**2*y - 407*s**2 wrt y?\nAnswer: -8*s**2*y**3 - 116*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 53*h**2 + 32*h - 105. Calculate t(27).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*z + 488647 - 132102 = -28*z. What is the remainder when z is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120894749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -31572.5535 to zero dps.\nAnswer: -31573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2 + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 - 93295*v\/2 + 1399375\/3.\nAnswer: (v - 279875)*(v - 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7 = -9. Suppose -3*z = 3*n - w*z + 109, -2*n = z + 66. Let d = 49 + n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 707.4 + -707. What is the second smallest value in 0.3, -2, 2, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*q**4 + 36*q + 1184 with respect to q.\nAnswer: 32*q**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 157*s - 71. Give d(-78).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1649396.632 rounded to the nearest ten thousand?\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1243, -11, -3\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13526, 26862, 40200, 53540, 66882, 80226, 93572?\n\"Answer: o**2 + 13333*o + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfffsf. What is prob of sequence fs?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*b**3*l*p**2 + b**3*l*p - 3*b**3*p**2 - b**2*p + b*l*p**2 + b*l + 3*p**2 wrt b?\nAnswer: 192*l*p**2 + 6*l*p - 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -921 - -917. Let h = 1 - 0.7. What is the nearest to 0 in q, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -174 - -78. What is the remainder when 46 is divided by (0 + (1 - -47))*(-32)\/b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 195. Do -0.1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 4*a - 10. Let o(k) = k**2 + k - 1. Let x(v) = n(v) + 5*o(v). Is x(-5) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1ec?\nAnswer: 1ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Suppose -o*p = -p. Is 230*(-2)\/(-4) - p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = k + 17, 2*k + 4*s - 28 = -2*k. Solve 0 = 2*a + a + k*u - 3, -2*a + 5*u = -9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 5:36 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 1, j: 2, i: 2}. Give prob of sequence pjim.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 6. Let i(n) = 2*n + 6. Let x(t) = -5*i(t) + 4*z(t). Let d be x(4). Let h(w) = d*w + w + 0*w. Let f(l) = 3*l**2. What is h(f(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 23, 1\/57, -0.1, 7, -5 in decreasing order.\nAnswer: 23, 7, 2, 1\/57, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 50. Let k = -10.11 - -0.11. Let q = k - t. Sort -0.5, q, 3\/5 in ascending order.\nAnswer: -0.5, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 14*v**2 + 107*v - 1307. What is l(13)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4344, 17200, 38624, 68616, 107176, 154304?\n\"Answer: 4284*f**2 + 4*f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 1d?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a27109 + 5?\nAnswer: -5a27104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*o + 207 = 90*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 337*y - 755*y - 753*y + 116*y + (0*y + 0*y + 2*y)*(0 + 0 + 2).\nAnswer: -1051*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - 3*x**2 - 2*x**2)*(-4 + 4*x + 4).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 11*r + 13. Let o be w(-10). Suppose 5*h + 5*m - 175 = 0, -2*h + 26 = -5*m - o. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 855 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385059345 = -130*b - 158809227 + 88920572. Round b to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 3*y**2 - y**2 + 2 + 2*y**2 - 2 + 2*y**2 + 0*y + 0*y + y - 2*y**2 - y + (2 - 2 - 2*y)*(1 + 2*y - 1) - 3*y**2 + 3*y**2 - y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -3*i**5\/40 + i**4\/2 - i**3 - 26*i. Factor f(w).\nAnswer: -3*w*(w - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3564) - sqrt(3564)*2) + (-1*sqrt(2156) - sqrt(44)))\/((sqrt(64)*2 - sqrt(4)) + sqrt(4) + (1*sqrt(12) + sqrt(12))\/sqrt(3)).\nAnswer: -17*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.111 - 0.389. What is the second smallest value in k, 0.5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -6 - 4)*(-13)\/(-65).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 4*d**2 + 3*d. Let v be 8\/(-14) + (3 - 18\/(-7)). Determine f(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 21 = -27. Let z = f - -21. Suppose j - z + 2 = 0. Solve 0 = 4*k + y - 23, -2*k - 2*y = -j*y - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70063920 and 1556976.\nAnswer: 70063920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 23*g**2 + 5*g + 27. What is the hundreds digit of f(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/15 + 2*s**2 + 11*s - 17. Let l(h) = 84*h**2. Give o(l(z)).\nAnswer: 28224*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8255 is divided by 156?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 26*p + 24*p - 19*p - p - 8*p.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 618. Let i(m) = 2*m**2 + 51*m. Give z(i(w)).\nAnswer: -2*w**2 - 51*w - 618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:01 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - f**2)*(-2 - 1 + 1)*(2*f - 3*f - 5*f).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 20 - 29)*(2*f - 2*f - 5*f + (2 + 1 - 1)*(1 - 1 + f)).\nAnswer: 114*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568153 is divided by 181.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-522)\/(-14) + (-6)\/21. Let f(i) = -36 - 35 - v - 5*i + 144 - 38. Calculate f(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 0*c = -34*w + 12*w + 3*c + 63, c - 23 = -10*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2924 - -4418. Suppose -2*m + w = 4*j, 4*m - 9*j - 2962 = -4*j. What are the prime factors of m?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 - -1) - (7364 - 7262).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*3\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15085 (base 15) to base 11.\nAnswer: 46898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*n = -11851 - 2370 - 16643 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2 - 2*f. Let i be t(-2). Let j = i + 16. Suppose j*q = -q. Solve q = -o - 6 + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 17120.\nAnswer: 51360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = -54 - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**4\/b*b*b*b)*b*b)\/b)\/(b\/(b*b*b**(-3\/8))) assuming b is positive.\nAnswer: b**(-43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 l when four letters picked without replacement from lttttllttttttltttltt?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3*l**2 + 6)*(0*l - 5*l + 3*l)*(-2*l - 1 + 1).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20714, -165675, -559130, -1325327, -2588514, -4472939?\n\"Answer: -20708*g**3 + g**2 - 8*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91.189 + 91.2029607. Let c = 0.014 - g. What is c rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 62687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-4))\/(-5)*20. Let y be (-18)\/k + ((-136)\/(-10) - 0). Suppose -4*p + 2*p = -a + 5, a = -4*p - y. Is a < -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 2. Let b be t(-1). Let j(a) = -a**3. Let q(n) = 2*n**3 + 3*n**2. Let g(r) = b*q(r) + 6*j(r). What is the third derivative of g(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4479.669 micrometers?\nAnswer: 4.479669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -227*o + 222*o + 5*q, -5*o - 4*q = -7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**2 + 7*v**2 - 10*v**2 - 15*v**2 - 2 as o*v**2 + j*v + k and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-15 - -5) - (0 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.24 - -0.64. Let b(l) = -2*l**3 - 2*l**2 + l. Let k be b(1). Sort -2\/7, k, -1\/5, q.\nAnswer: k, -2\/7, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwx when three letters picked without replacement from {x: 4, i: 8, w: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(117) + sqrt(117) + 3 - (sqrt(117) - (5*3*sqrt(117) + sqrt(117) - sqrt(117) - sqrt(117))))*5)**2.\nAnswer: 162000*sqrt(13) + 23696100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**4\/24 - y**3\/3 - 5*y**2. Let f be l(4). List the prime factors of (-2)\/(20\/(-8) + f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12 - (-16)\/3. Let q = -3 + s. What is the greatest common divisor of q and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107019098*a**6 + 2*a**2 + 2*a + 9678196.\nAnswer: 12842291760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-14)*(-31542)\/(-11265)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -62, 7, 78, 151, 226, 303?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 480\/((-15)\/(-6) + -1). Let n = j + -96. Suppose n = 6*l - 2*l. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 + g + 1. Let r(c) = c**2 + 1. Suppose 61*p + 162*p - 402 = 490. Give p*r(m) - w(m).\nAnswer: -2*m**2 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.8 - -36.4. Which is the fourth smallest value? (a) w (b) 2\/11 (c) 5 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1803660 and -119\/10.\nAnswer: 1803660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i - 4. Suppose -k + 19 = 4*j, i*j - 5*j + 23 = -k. Suppose -9*g + 7*g + 6 = -2*d, g = 5*d - 5. Solve 0 - j = -d*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226455 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + 0 - (1 - -3)) + (-6 + -14 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -724*c**6\/15 + 15*c**2 + 1337*c. What is the derivative of o(t) wrt t?\nAnswer: -5792*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61)\/(-244))\/(1\/3*(-2)\/4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 13)\/(3\/(-2)). Let a be (-2)\/u - 46\/(-8). Calculate the remainder when 34\/3 + (-2)\/a is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7906?\nAnswer: 2, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227276311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/1)\/(102\/(-102))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182750?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 32. Let i(k) = 6*k**2 + 0*k - 6 + k**3 + k - 2*k. Let d be i(-6). Calculate the remainder when s(d) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:34 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 10:12 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.9926 and 0.03.\nAnswer: 0.659778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 2*h + 1. Suppose 25 = 4*r + 1. Let w(c) = -1 - 3*c**3 + c + r*c**3 - 2*c**3. Calculate k(d) + 2*w(d).\nAnswer: 3*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 62\/63377 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101010010 (base 2) to base 14.\nAnswer: -c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*(2769\/(-71))\/273\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-1) + (-15)\/((-45)\/354). Suppose -5*o + 1114 = -581. Calculate the highest common divisor of h and o.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t + f + 1658 = 65*t, -5*f - 194 = -t. What is the remainder when t is divided by 165?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9619 is divided by 641.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1479 - -1485. Solve -2*k - 11*y = -v*y + 13, -k = -4*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36757\/61245 - 2\/12249. Which is the closest to 0.799? (a) 1 (b) 1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 11. Suppose -10 = p - 6*p. Suppose 3*b = -13 - p. What is the lowest common multiple of j(b) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433880?\nAnswer: 2, 5, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-2\/7)*m)\/m**(2\/5)*(m**(-2\/5)\/m)**(-3))\/((m\/(m*(m\/m**(2\/5))\/m))\/(m**(2\/5)*m))**(-4\/7) assuming m is positive.\nAnswer: m**(228\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -491, -498, -505, -512, -519, -526?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 + 6*l**4 - 54*l**3 - 62*l**2 + 252*l - 144 = 0. What is l?\nAnswer: -6, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2701 + -62269\/23. Let t = m - -1161\/230. Let l = 5\/13 + -287\/104. What is the common denominator of l and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2427060 and -145\/27425778.\nAnswer: 274257780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 - 2 = 3*g, 0 = -4*g + 2*s + 2. Let k = 5110 + -5107. What is the nearest to g in 0.4, 1, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*q - 204 = -1562. Let x(f) = -2*f**3 - 30*f**2 - 26*f + 38. What is x(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -aa102 - 1?\nAnswer: -aa103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2321 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:15 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 0*o**3 + 5*o**3 + 4 - 9 to the form h*o + z + v*o**2 + w*o**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 2. Suppose 3*r + o*r = 10. Suppose -96 = -r*c + 54. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*h**2 + 8 + 82742*h - 82744*h as k*h + o*h**2 + j and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.301718l?\nAnswer: 8301.718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 82400 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1396 - 1251. Which is the third biggest value? (a) -1\/7 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 404, -33, -9837.\nAnswer: -9837, -33, 2, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3057.903 to the nearest ten.\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 7 = -4*k + 5*m, -k + m - 4 = 0. Let l be 2330\/16 + k + 0. Let i = l - 145. Sort -0.2, 3, i in increasing order.\nAnswer: i, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2. Let s be q(-1). Let k = -1 - -2. Let v = k + -4. What is the biggest value in v, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-3)\/27)\/((-21)\/7)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 34*r - 103. Let t be o(31). Let a(s) = -4*s - 34. Let b be a(t). Let q(k) = -k + 5. What is q(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -17. Let z be 3\/n - (-11)\/3. Suppose 3*q = z*q - 347. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235755821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 14*v - 2. Let p be o(-9). Suppose 2*i + g = 3*i - p, -4*i + 144 = 3*g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - m. Let x(d) = 3*d**2 - 8*d - 11. Let t(q) = b(q) + x(q). Let l be t(-5). What is l rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 844*z**2 + 26 + 24 to v*z**2 + j + f*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Let h be (-14 + 10)*s\/(-4). Find the second derivative of 0 + 3*g + 2 - 2 - 12*g**h wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5))**(2\/9)\/((q*q**(3\/4)\/q)\/q)**(-9) assuming q is positive.\nAnswer: q**(-143\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 10 + 66 - 20.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 321*b + 26 = 319*b, 2*b + 38 = 4*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 4. Let g(b) be the second derivative of b**4\/6 + 4*b**3\/3 - 7*b**2 - 3*b. Let r be g(-7). Let h = 34 - r. Give u(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 1\/30*k**4 + 8\/15*k + 2\/9*k**3 + 8\/15*k**2 - 20. Solve h(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**39)**(-1\/24) assuming y is positive.\nAnswer: y**(-13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 11:54 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ean when three letters picked without replacement from njjnejajna.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c = 375. Suppose -5*w + c = 5*i, 6*w - 3*w = 4*i + 40. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69759265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/4*16\/24)\/(-1). Let g(y) = -7*y - 7. Give g(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 42*f - 126. Determine b(39).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -62006505?\nAnswer: -62006510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 3. Determine d(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 353 - 683\/2. Which is greater: b or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16131, 32337, 48543, 64749, 80955, 97161?\nAnswer: 113367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3590 divided by -1?\nAnswer: -3590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90128531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 12.8. Let d = 0.2 + f. Let z = -3.00002 + d. What is z rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = -584*n + 491*n. Sort -23, 2, 7, n in decreasing order.\nAnswer: 7, 2, n, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64025459?\nAnswer: 19, 3369761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**5\/60 + 5*y**4\/12 + 2*y**3\/3 + y**2 + 23*y - 24. Let s(w) be the second derivative of k(w). What is s(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/6752375 or 1?\nAnswer: -4\/6752375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 1. Let q be x(-1). Suppose -8 = -2*o - q. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 2 (c) -15 (d) 517\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 355 - 86 = 137. Let x(j) = j**2 - 20*j + 66. Calculate x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*j**3*p - 1030*b**2*j*p - 530*b**2*j + 8*b*j**3 - 4*b*p - 4*j**3*p + 4*p wrt b?\nAnswer: -4*j**3*p - 2060*j*p - 1060*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 3\/2 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484400427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2345, -3470, -4591, -5708, -6821, -7930?\nAnswer: -9035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4260 - -8598. Let w = 3888 - -1459. Suppose t = -r + 9703, -p = -t + 5*r + w. Round t to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2342, 4661, 6980, 9299, 11618?\nAnswer: 13937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11860392.\nAnswer: 2, 3, 331, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-294257)\/(-82) + 2\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + (5 - (-2 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19748.4698 + -19757. Let w = d - -0.1202. Round w to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9426, -15882, -22338, -28794, -35250, -41706?\nAnswer: -48162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17269 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49841949243801 - -0.5.\nAnswer: -49841949243800.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6863 + -6863.2. Which is the nearest to -1? (a) z (b) -0.04 (c) 2\/7 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*m + 20 = 0, 0 = 4*a - 2*m - 4 - 6. Suppose 0 = -b - a*b + 5. Solve 0 = -d + 2*c - 6 + 1, -5*d + 4*c = b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 + 8*a + 8. Calculate the least common multiple of 14 and y(6).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609 and 206422?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - 7) + 9 + -14\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000149835 rounded to 7 dps?\nAnswer: -0.0001498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:22 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1656 - -1671. Solve 0 = h - 4*p - c, -2*p - 2*p = 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-2000)*20)\/(((-9)\/(-20))\/(-3))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 50\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2 + 21954*o + 16606152 = 0.\nAnswer: -732, 22686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**2 - 7. Let u be (-74)\/12 + 3\/18. Let j = u + 12. Let t(k) = 3*k - 2*k - 4 - k - j*k**2. Give -4*f(y) + 7*t(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 15 - 33*r - 57*r + 8*r**3 + 20.\nAnswer: 8*r**3 - 90*r + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.9, 2.8, -9, 0.5, -1.3 in decreasing order.\nAnswer: 2.8, 0.9, 0.5, -0.5, -1.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*l = 223*l + 140 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n + 3 = 0, -5*s = -n - 9. Let l be (2 - 3)*(4 + s). Let f = l - -16. Calculate the highest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - p + 5 = 0, -4*x + 9*x - p = -8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*m + 72*m = -8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eggc when four letters picked without replacement from {e: 2, m: 2, z: 1, g: 2, c: 3}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 89. Let u = 142 + n. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:38 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -455, -680, -891, -1082?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4*k**3 - 4\/5*k**4 - 116\/5*k + 28\/5*k**2 = 0. Calculate k.\nAnswer: -2, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**2 - n - 43. Let m be 52\/6 + 4\/(-6). Suppose m*y + 5*x + 15 = 3*y, -2*y + 8 = -5*x. Give h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*c - 6*c + 46, -24 = -4*z - 4*c. Suppose -2*u + 2220 = z*u. List the prime factors of u.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 22. Suppose -3*c - 3*j - 4 = 11, -o = c + 5*j. Let z be c - -2 - (-24 + -2). Solve 0 = -g - 5*t + z - 4, g - 12 = -3*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 1 + 9*l - 5 + 2.\nAnswer: 6*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 3*c**2 - c**2)*(-2 - 9*c + 24*c - 10*c).\nAnswer: -20*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15d4e (base 15) in base 9?\nAnswer: 116632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 32209 and 3265791751.\nAnswer: 3265823960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 47*b. Let s(g) = 2*g + 36*g - 24*g - 16*g. Give y(s(x)).\nAnswer: -94*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1803289184 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 76. Suppose s*u + 6*u = -3*u. Solve 12 = 2*b - 4*q - u*q, 2*b + 5*q + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 4. Determine j(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h + 31. Let p be w(8). Let n(x) = -x**2 + 7*x - 4. Let k be n(p). Let v = 1 + k. Let l(y) = y**3 + 3*y**2 + y + 2. Give l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 r when three letters picked without replacement from {p: 1, r: 9, s: 1}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2 - 2*v + 3. Let n be x(2). Suppose -8*p - 765 + 941 = 0. Suppose -5*d + p = 7. What is the greatest common divisor of d and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 2*j + j. Let r(b) = -59*b**2 - b - 3. Let i be r(1). Let z = i + j. Calculate the highest common divisor of z and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0271810587 rounded to 4 dps?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 555 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 2*r - 5*x - 0*x, 17 = -3*r - 4*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 0) + (1 - -8). Suppose -y*u + 5*o + 35 = 0, 2*o = 5*u - 2*o - 30. Solve 0 = -0*g - 3*g - u*i - 7, -g - 4*i = 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-5 - -7) - (-7 + -9 + 4 + 120)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 2) to base 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j**(2\/11))**(-4\/7) assuming j is positive.\nAnswer: j**(-52\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86303 is divided by 248?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 47551*k + 428696. What is h(-9)?\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*x - 27, -2*x - 1 = -3*x. What is the least common multiple of (-3)\/(-12) - (-91)\/4 and w?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**11\/13860 - j**7\/840 - j**4\/12 + j. Let r(c) be the third derivative of a(c). Find the third derivative of r(d) wrt d.\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3002 (base 4) to base 3.\nAnswer: 21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3191?\nAnswer: 1\/3191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 5) in base 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.5. Do j and 0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25174653 - 16324653. What is j rounded to the nearest one hundred thousand?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-860)\/18)\/1 - (-8)\/(-63)*4221\/2412.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 85, 96, 107?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 491\/83386 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**3 + 252*i**2 + 2697*i + 7560 = 0.\nAnswer: -72, -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2102*w**2 - 9*w + 1052*w**2 + 1051*w**2 - 4*w.\nAnswer: w**2 - 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) + -4*(sqrt(896)*-1 + sqrt(896)) - (sqrt(896) + 2*-1*sqrt(896) - sqrt(896)))\/(-4*(sqrt(800) - 2*sqrt(800)) - -2*sqrt(800)*4).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 70*r**3 + 5*r - 35*r**3.\nAnswer: 35*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:26 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -826, -829, -832?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 19*i**2 + 7*i**2 - 2*i + 36*i**2 + 32*i**2 to n*i + m*i**2 + z and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let k(y) be the third derivative of y**4\/24 - 20*y**3\/3 - 3*y**2 + 4. Give k(f(t)).\nAnswer: t**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((5 - 10) + 5 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/3*(-49)\/14*(-27)\/(-225)*20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 561 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 567301?\nAnswer: 567226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1700*q**2 + 154*q - 90. Let a(w) = 1696*w**2 + 155*w - 87. Let h(j) = 2*a(j) - 3*c(j). Factor h(f).\nAnswer: -4*(7*f + 2)*(61*f - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11722283.22 - -11722249.22000085. Let j = 60 - 26. Let q = j + i. Round q to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 12\/17, -115\/747, 4?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-31)\/(-186))\/(2\/16))\/(-14)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 3*l**5\/20 + 7*l**4\/6 - 14*l**3\/3 + 35*l. Let b be u(2). Which is smaller: 22 or b?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 213 + a**2 - 6*a + 244. Let m be k(9). Solve 3*l + m*p - 24 = -1, -2*l = 2*p - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 1565*w = 1563*w + 20, 5*j - w - 17 = 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*r, f + 0*f + 39 = 3*r. Let z be f\/10*(-4)\/3. Calculate the lowest common multiple of 20 and z\/9 - (-44)\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32651158?\nAnswer: 2, 19, 29, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-2*-5)\/(sqrt(243)*1) - (1 + (sqrt(60)\/(-1*sqrt(12)) - (5 + sqrt(45)))).\nAnswer: 4 + 46*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 9*n - j - 1230 + 621 + 658 = 0, 2*n - 2*j = 58 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hovehlvlolvnvvhol. What is prob of picking 1 l, 1 n, and 1 o?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5 + b**2 + 0*b**2 - 5. Let d(t) be the second derivative of t + 0*t**2 + 1\/6*t**3 + 0. Calculate d(h(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j - j**2 + 0*j - 4*j. Let z be 9\/(-6)*4\/(-6). Let h(n) = -n**2 + 2*n + 1. Give z*y(o) + h(o).\nAnswer: -2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.1 + -7.6. Which is the biggest value? (a) r (b) 0 (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/10)\/(30\/(-50)). Suppose 0*n = -4*n - 3*r + 55, v*n - 4*r = 22. Calculate the greatest common divisor of n and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 - 6 = 0. Let r(o) = -o**2 + 2*o + 2. Let k be r(p). Is (-58)\/(-4) - 3\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -461 + 631. Suppose 40 = 4*t - 0*t. Calculate the greatest common factor of c and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccfc when four letters picked without replacement from ffcccffccpcffccff?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -298 - -398. Let v = -96 + m. Suppose -3*p = -p. What is the third smallest value in -0.46, -4, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211 + 46*r**3 - 247*r**3 + 4 wrt r.\nAnswer: -603*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000246149478 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1219, 1221, 1223, 1225, 1227?\nAnswer: 1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347678*0.05.\nAnswer: 17383.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/14)\/(49\/(-343)). Suppose 2047 = 2*y + h, -3103 = -o*y + 3*h + 2*h. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 14 = -o + 2*w, -o - 5*w = -34. Solve 6 = -12*s + o*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 12021734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 + 3*v + 3. Let u be j(-2). Suppose -2*p = 3*y - 4*p - u, 4*y - 4*p = 16. Suppose 24 = 3*a + a. Solve -3*q - 3*w - a = -2*q, -5*w = y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4739581 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 306*i + 1558. Let n be w(-5). Solve 0 = -n*u - 2*u - 120 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6 + 1 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/21 + (-144)\/(-28) - -1004. Let m = p + -126. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.9 + 2.9. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 464*r**3 - 23*r**2 + 13*r + 244. Let b be q(-33). What is b rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2019\/(-9) - 2\/3. Let j = -214 - w. Solve -u - j = -5*p, 0 = -u + 2*u + 5*p - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvttcvz. Give prob of sequence ttc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 6*k**2 - 3*k - 9. Suppose 2*s - 5*s = 18. Let n be l(s). Suppose -4*y + 3*y = 3*u - 17, 2*y - 3*u = -2. Solve -n + 4 = -y*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*w - 2*n, -124 = 8896*w - 8891*w - 31*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 168578124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/((j**(-2\/5)\/j*j*j)\/j))))**(7\/3) assuming j is positive.\nAnswer: j**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 74 * -6\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen quarters of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -12.12. Let r = 4.08 + x. Let c = r - 4.20000019. Round c to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 - 11*b + 2. Let v(y) = -y. Let j be 5 + -6 + -1 + -1 + 1. Let k(a) = j*l(a) + 22*v(a). Differentiate k(w) with respect to w.\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-6) - (-605)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**3 + 9*o**2 + 7*o - 9. Let n(s) = -8*s**3 + 10*s**2 + 8*s - 10. Let k be (-124)\/20 - (28\/35)\/1. What is k*q(d) + 6*n(d)?\nAnswer: d**3 - 3*d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64.97 - 64.67. Let r = 18 - 16. What is the nearest to 3\/4 in -0.02, v, r, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99987.3 centuries to millennia.\nAnswer: 9998.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60, -245, -554, -987, -1544, -2225?\n\"Answer: -62*j**2 + j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/6*(-540)\/(-240).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1431693 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1320302\/(-115) - -3 - (-7)\/(-7). Let p = -11479 - t. Calculate the common denominator of -56\/5 and p.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -27 - 93. Calculate the greatest common divisor of f and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -5, -31 in ascending order.\nAnswer: -31, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5490\/7 + 783. Which is the third smallest value? (a) -0.2 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from ojuaajsfoujjofjjju?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n + 7. Give l(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275972803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1420 is divided by 1337?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 345*c**3 + 33*c**2 - 4*c + 43. Is l(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/1020*17)\/(15\/288)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = n - 5*f, 5*n + 2*f + 12 = -2*f. Let o(i) be the second derivative of 1\/30*i**6 + 0*i**2 + 1\/18*i**4 + 1\/12*i**5 + n + 0*i**3 - 2*i. Factor o(g).\nAnswer: g**2*(g + 1)*(3*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/47, 0.1, -0.7, -1 in increasing order.\nAnswer: -1, -0.7, 2\/47, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/10)\/((-8)\/(-20)). Let m be (h + 0)\/((-8)\/(-36)). Let g be 1 - (-9)\/(m\/(-3)). Do g and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(((-4)\/6)\/((-56)\/108))\/(2118\/706)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 14. Does 12 divide m\/4 - (-584)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*q - 33, 3*q + 8 = 2*w + 2*w. Let r(j) = -6*j + 275. Let d be r(44). Sort w, d, 0 in descending order.\nAnswer: d, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 11 = -4. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -40, -1195 in increasing order.\nAnswer: -1195, -40, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000991395 to 7 dps.\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77*h**3 + 4*h + 1871 wrt h?\nAnswer: 231*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**2\/2 - u - 1. Let k(z) be the first derivative of z**3\/3 - 5*z**2\/2 - 5*z - 14. Give -k(j) + 5*y(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 - 2416*w**2 + 415888*w - 14838528 = 0. What is w?\nAnswer: 48, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 124643.0619 seconds?\nAnswer: 0.20608971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.55?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-6456)\/(-1883))\/(3\/(-1)))\/(2\/(-14))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211 + 30?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**11\/w)\/w)**(11\/5)\/((w\/(w\/w**(-1)))\/w**(-1\/2)))**(4\/37) assuming w is positive.\nAnswer: w**(90\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - p**3 - 3*p**3)*(3*p - 3*p + p**2) - 10*p**5 - 17*p**2 + 17*p**2 + (-3*p**3 + 2*p**3 - 2*p**3)*(-p**2 + 0*p**2 - 2*p**2).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2924)\/(-51))\/43 - (-14)\/21. What is c in -7\/5*c**t + 16\/5 + 8\/5*c + 1\/5*c**3 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 4*k - 210. Solve -16 = -5*q - k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - b**2 - 6*b - 2. Let h(t) = -3*t**3 + 5*t**2 + 17*t + 20. Let g(s) = -h(s) - 2*m(s). Determine g(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/31620 and 95\/248.\nAnswer: 63240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 11) to base 10.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17*55\/(-561))\/(-1*(-3)\/(-45)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -i + 26, -3*i + m - 12 + 10 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = h - 5*n + 7, 2*h - 4*n + 6 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + (-21 - -97 - 20).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -29*g**3 - g**2 + 6. Let i(q) = -28*q**3 - q**2 + 5. Let z(b) = -5*i(b) + 4*n(b). Calculate z(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/3*3\/(-14). Let s = -16 - -26. Let n = s - 9. Which is the closest to n? (a) -2 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 806 + 804 = -2*j, 2*o = -3*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3) - (-44)\/6. Suppose 5*t = 3*t + k + 3, -t - 3 = -2*k. Suppose -2*h - 1 = -t*h. Solve -2*u = -q - h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:35 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5837.469 and -4.\nAnswer: -23349.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 50*k + 286. Let f be x(32). Which is smaller: -169 or f?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*272\/(-170).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - (sqrt(200) + 1)) + -2 + sqrt(200) - -1*-2*sqrt(200))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 162?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 5442*k - 27183. Calculate s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 7*h - 3*a - 4566, -5*h + 2*a = -7607. What is the second derivative of 2847*t - h*t - 31*t**2 - 1444*t wrt t?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from orhyyhdyzrr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2223, -2206, -2171, -2112, -2023, -1898, -1731?\n\"Answer: t**3 + 3*t**2 + t - 2228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175522439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25197469 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/5 - 117152*f\/5 - 1715573888\/5 = 0 for f.\nAnswer: -29288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235 and 2303.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -205 in 3, 0.5, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 + 270*d - 3645 = 0. What is d?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 1, r: 1, k: 1, z: 2, p: 2}. Give prob of sequence gpkg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2)*((-16)\/22)\/((-3216)\/29480)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/(-4) - 1\/(-2). Let j(o) be the second derivative of o**4\/12 + o**3 - 2*o**2 + 589*o. Calculate j(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) 12\/5 (b) -4 (c) -100 (d) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/15)\/(4\/(-10)). Let x = 3 - z. Let l(p) = -3*p**2 + p + 2. Let i(o) = 4*o**2 - o - 3. Determine x*l(k) - 2*i(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/17 + 710*p**4\/17 - 19500*p**3\/17 = 0. What is p?\nAnswer: 0, 30, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 13*x - 9. Let q be c(21). Let b = q + 180. Calculate the lowest common multiple of 33 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-12))\/((-4)\/128). Which is bigger: a or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (296\/(-16) + 0)*-2. Suppose -52*l + u*l = -600. Calculate the greatest common divisor of 140 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10) + (-8 + 38 - 39)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v - 24 = 0. Let w be 6\/18 - (-10)\/v. What are the prime factors of (w - (3 + 0)) + 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 16950.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:25 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 613384502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7*(16\/7)\/8). Sort -6, i, -5, 3, 11 in decreasing order.\nAnswer: 11, 3, i, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmbq. Give prob of sequence bqqm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302739 by 1.\nAnswer: -302739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1645 - -0.0645. Sort -4, 0.3, p, -5 in decreasing order.\nAnswer: 0.3, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-14))\/(13*(-98)\/4459)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-3 - -2) + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143 and 55.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/7 + q**3 + 4*q**2\/7 - 4*q = 0.\nAnswer: -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1084 - 33*f + 1084 - f + 5*f - 2*f + (484 - 484 + 27*f)*(7 - 2 - 3) + f + 0*f + f.\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318.2 + -269. Let j = 49.3 - z. What is the nearest to -0.1 in 5, 1\/4, -0.02, j?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36828 or -36840?\nAnswer: -36828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 962, 961, 960, 959, 958?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9890*x**5 - 5*x**4 - 2*x**3 - 4*x**2 + 71*x - 4 wrt x.\nAnswer: -593400*x**2 - 120*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25859459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 1\/2, -3\/5, -2.7, 0.1?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13440 - 13439.8. Sort 311, -0.4, -0.3, -1\/3, q.\nAnswer: -0.4, -1\/3, -0.3, q, 311","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**4 + 3*o**3 + 3*o**2 - 10. Let b(v) = 5*v**4 + 10*v**3 + 10*v**2 - 30. Let w(u) = 3*b(u) - 10*m(u). Differentiate w(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11264 divided by 4\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 720 by 5.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from cmm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + -187 + 173?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22995 = -3375*f + 1299*f - 1209*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 6*z + 3. Let w be t(2). Let f = -6 + 6. Which is the smallest value? (a) f (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*n - 43*n - 67*n)*(-3*n**2 + 3*n**2 - 4*n**2) + (1 - 1 + n)*(2*n**2 + 0*n**2 - 4*n**2) - 2*n**3 + 0 + 0.\nAnswer: 248*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 2295?\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*x**2\/2 - 34548*x - 2915658 = 0. What is x?\nAnswer: -22602\/5, -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.1, 50, 176\/5, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*l**5 - l**5 - 9*l**5 - 3*l**4 + (4*l**4 - l**4 - 4*l**4)*(1 + l - 1) - l + l - 2*l**5.\nAnswer: -4*l**5 - 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0392*3.\nAnswer: -0.1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - -6) + (20 - 23 - (-17 + 0))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6477136 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - -148. Suppose 175*h - s*h + 6 = 0. Solve c = h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 34) + (0 - -3) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143451054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -69, 2.1, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 6:40 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 4*i - 1548. List the prime factors of i.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16479823?\nAnswer: 73, 225751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 161393347 a multiple of 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o + 6 = -4*p, 0 = -o + p + 4. Suppose -o*y = 4*n - 24, y - 5*n = -10*n + 9. Solve y*c + 4 = 18*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1077996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - z. Let i(c) = -7*c**2 - 4*c - 63. Determine -i(v) + 5*t(v).\nAnswer: 2*v**2 - v + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(27\/4))**25*(b\/b**(2\/7))**50\/(b**5\/((b*b**(-2\/3))\/b)) assuming b is positive.\nAnswer: b**(631\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -28931+-248\nAnswer: -29179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76434629*-0.2.\nAnswer: -15286925.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1477 and -37\/211.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -3, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:16 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f = -3*n - 10, 4*f + 3*n = -35. Let i = 38 + -39. Let x = i + 4. Which is the closest to -6? (a) -0.5 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1894 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(3\/8))**(-41) assuming h is positive.\nAnswer: h**(-205\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 + -173. Suppose 10*x - 2*x - w = 0. Solve 0 = x*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/45)\/((-9)\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + -3)**2 + sqrt(1377))*4*3 - ((sqrt(1377)*-4 + 4 - sqrt(1377) - sqrt(1377) - sqrt(1377)) + -5)**2.\nAnswer: -50842 - 666*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-4)\/(-2*(2 + -3)). Let q be (g + 1 - -19895) + -2. Let w be (q\/36)\/((-2)\/3). Round w to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o = 4*n - 72, 0 = -n + 4*o + 13. Let d(p) = -31*p + 16*p + n*p. Let l(h) = -11*h - 2*h + 0*h. Give d(l(i)).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - b**3 - 3)*(-128 - 140 + 210)*(-12 - 2 - 44*b + 43*b).\nAnswer: -58*b**4 - 812*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 3*g - 4 + 3*g**2 - 7*g. Calculate the remainder when 70 is divided by z(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582610540 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-336)\/6300)\/((-10)\/15)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 2*z**3 + 0*z**3)*(-8148 - 1990*z**2 + 8148).\nAnswer: 1990*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**2 - 6*f - 3. Let j(l) = l + 73. Let o(b) = -b - 16. Let x(w) = -j(w) - 4*o(w). Let h = -14 - -7. Give h*u(i) + 5*x(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 4 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7070*k + 1. Let h(x) = 633*x. What is h(l(b))?\nAnswer: -4475310*b + 633","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**2 + 77*f - 9. Determine d(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42262\/(-418) + 101 + (9\/15 - 41559\/665).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 570 - 187 - 191 - 192.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*u = -53, -3*u - 15 + 2 = -q. What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -186.\nAnswer: -186.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - w - 35 = 0, 0*g + 21 = 3*g + w. Let l be (6 - 42\/g)*(-1)\/(-3). Solve -3*k + 8 = -2*q - l*k, -3*k + 4 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 14 + (17 + 22 - 52).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-986)\/6 + 2\/6. Let g = 731 + -300. Let u = q + g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162948 and 1036?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 6) + -13 + (-11 + 6 - -10) + 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*r)*(0*r + 2*r + 0*r) - 12*r**2 - 14*r**2 + 19*r**2 + (3*r - r - 3*r)*(-4*r + 0*r + 3*r) - 2*r + 2*r + r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 445 - 431. Calculate the highest common divisor of r and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23771\/24 + 992. Let j = c - 13\/6. Find the common denominator of j and (-3965)\/(-728) + 3\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38700 divided by 43\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z. Let a(i) = 35*i**2 + 34*i**2 - 74*i**2. What is a(n(d))?\nAnswer: -245*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*5)\/(sqrt(7) - (sqrt(7) + sqrt(7)*2*-5 - sqrt(7))) + -1.\nAnswer: -1 + 5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 15 = 3*m, 0*p = 5*p - 5*m - 45. Solve 0*d + 21 = 5*x + 4*d, 3*d = p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -95. Which is the closest to 0? (a) p (b) -2\/19 (c) 1\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000356063 to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*q + 6984*j - 6986*j, 3*j - 6 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c - 3*c - 13 + 3*c + 2*c. Let o be k(-5). Let b be 7\/2 - (6 + (-11)\/o). Solve 3*z = -3*l - 18, -b*z - 2 - 8 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-3135)\/(-380).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 244.79931 months?\nAnswer: 0.0203999425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153343 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 14. Let n be m(-10). Suppose -n*c + 615 = -c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -237384 divided by -42?\nAnswer: 5652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036 - -9.4303?\nAnswer: 9.4663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 21 - 2*a**4 - 21 + 23*a to the form u + i*a**3 + f*a**2 + p*a**4 + m*a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/33*(-121)\/22. Suppose 12*s - 13*s + 879 = f*k, k - 444 = 4*s. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 13?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2e98 (base 16) to base 12\nAnswer: -6aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*s - 30*s + 199*s + 17976 = -310*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:35 PM?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 9151 - 4416. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1222\/(-39) + 12)*-12. Suppose -4*m = -3*h - m + 246, 3*m + 72 = h. What is the highest common factor of v and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = -13932 + 65529. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 17. Let f be g(20). Let v be f\/15 - 8\/(40\/(-21)). Does 10 divide (-100)\/(-35)*42\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301322123 (base 4) in base 7?\nAnswer: 1511021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -31, -107, 5, 3, -4 in decreasing order.\nAnswer: 5, 3, -4, -5, -31, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -314210341 (base 5) to base 8\nAnswer: -5021057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 3, b: 3, i: 3, p: 6}. Give prob of picking 3 s and 1 f.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 555, 934, 1871, 3552, 6163, 9890?\nAnswer: 14919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 23.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 69. Let j = t + 38.7. Let i = -2 + j. Which is the closest to -0.2? (a) -3 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j + 2. Let i(c) = -4*c + 1. Suppose 5*u - u - 28 = 0. What is u*i(p) - 3*a(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1124015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 68*b + 295. Is z(-32) a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07183 times -87\nAnswer: -6.24921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.97 + -0.03. Let x = -1126\/3 + 2261\/6. Which is the nearest to -1? (a) -3 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 174420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**2\/4 - 529419*k\/2 - 20119005\/4 = 0?\nAnswer: -19, 352965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 277*v - 20*v = -205*v - 3234 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10583 + 105737\/10. Find the common denominator of -8\/3 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x**2 - 2*x + 4. Let q(a) = -a**2 - 1. Determine g(k) + 3*q(k).\nAnswer: 9*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*f - 313 + 205 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3001, -6009, -9017, -12025?\nAnswer: -15033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 12, n: 3}. Give prob of picking 4 t.\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 9 = -k, -2254*p - 8 = -2259*p + 4*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 29 = -4*k, -k - 2 = -7*l + 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 + 940*d + 44180 = 0.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7572057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 = 4*o - 28, -4*o - s + 24 = 0. Let q(p) = p - p + 0*p**3 + p**3 + 5 + o*p + 6*p**2. What is the units digit of q(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9686683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 852 = 3*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -240 and -240 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -5 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163 + -162.29. Let j = -0.09 - f. Let v = 3.8 + j. Put 0.3, -3\/4, v in decreasing order.\nAnswer: v, 0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 606 - 963. Let g = 402 + z. Calculate the remainder when 673 is divided by g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 3:44 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 4*m**2 + 7*m + 10. Determine z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -5, -1\/217?\nAnswer: -1\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000051599 to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8) - 51\/68. Solve d = -2*m - c - c + 6, 5*m = c - 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 60792*p - 121574*p + 60785*p. Let i(s) = 529*s**2. Give h(i(u)).\nAnswer: 1587*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*o + 0*o**3 + 2*o**3 - 49*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 771329257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11842218 by 5526.\nAnswer: -2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 18*n**2 - n - 4*n + 4*n to k*n + w*n**2 + r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3606183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**8\/1512 + i**7\/63 - 73*i**6\/540 + 17*i**5\/30 - 71*i**4\/54 + 16*i**3\/9 - 4*i**2 - 315. Solve n(l) = 0.\nAnswer: 1, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3) + (-10*850)\/(-5). Suppose -12*w - u = -4603. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 1005?\nAnswer: 22110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 7. Let f be h(7). Let v(s) = 2*s + f - 7*s - 2. What is the units digit of v(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296280, 297234, 298188, 299142, 300096, 301050?\nAnswer: 302004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + 0.04. Let k = 0.33 - s. Which is the second smallest value? (a) 3 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/120 - 1625\/17500)*(-70)\/(-12)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmnwmmjwm. What is prob of picking 1 n and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 10*c**2 + 26*c + 26. Let o be i(-12). Solve 6 = -o*u - 0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(8\/5)*f*(f\/f**(-1\/9)*f)\/f assuming f is positive.\nAnswer: f**(167\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14910?\nAnswer: 2, 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/27 and 38\/8247.\nAnswer: 74223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6570?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1078 and -101\/12.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -66*j - 729. Let m be s(-11). Let r(x) be the second derivative of 0 - x**2 - 1\/6*x**4 - 5\/6*x**3 + 2*x. Give r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.1. Let m = 132.8 - 133. What is the nearest to t in 0, m, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*c + 4, -c = -5*g + 2*g + 7. Suppose c*o - 10*o = 16. Let i be ((-2)\/(-4) - 5)\/((-6)\/o). Which is bigger: -10 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24261295 and 9010?\nAnswer: 2571697270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.26539 rounded to zero decimal places?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*d - 3*d. Let q(f) = -2*f**3 + 3*f**2 - 2*f - 2. Let k be q(2). Let n = 17 + k. What is the remainder when d is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1547252787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8320*z = -4*j + 8322*z - 12, 0 = 4*z - 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 0.2, -3\/2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3 - 850\/(-282)). Let n = 149 - a. Solve n*c - 12*c = 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 14495746?\nAnswer: -14495745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)**(11\/3)\/(d**(-3)\/d**(2\/3)))**(-30) assuming d is positive.\nAnswer: d**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3124*u**3 + 3*u**2 - 8498*u?\nAnswer: -18744*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-3)*3\/(-2). Suppose -3*k + 1 + p = 0. Solve a + k*a = x - 12, 0 = 3*x + 3*a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1538 (c) -0.5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-47 + 139 + 50)*(2 + 2 - 1) + 4 - 3 + 1)*(-3*z + 3*z + 2*z).\nAnswer: 856*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.4 + -14.6. Let u = 37 + r. Let s = -0.32 - -0.22. Which is the nearest to 18? (a) s (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 1. Let n(t) = 9*t**2 + 1. Let m(s) = 79*s**2 - 6*s + 2. Let o(j) = -m(j) + 8*n(j). Let a(b) = -105*b**2 + 91*b + 91. Give q*a(f) + 91*o(f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c + 3. Suppose -176 = 51*n - 67*n - 16. Let x(q) = -1 - 4 - 5 + 25*q. Give n*i(o) + 3*x(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14b0 (base 12) to base 6\nAnswer: 15140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 - -2. Let c = -1.35211 + -1.64789. Put k, 1, 0.1, c in increasing order.\nAnswer: c, 0.1, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**2*l**3 - 20*j**2*l**2 - 3589*j**2*l - 888*j*l**3 - 4*j*l - 132*l**3 + 3*l**2 wrt j.\nAnswer: -8*l**3 - 40*l**2 - 7178*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**8\/112 - z**6\/120 - 38*z**4\/3 - 5*z**2 - 34*z. What is the second derivative of d(h) wrt h?\nAnswer: -60*h**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 8:26 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -768 + 644 + (-2 - 9 - 4) + -6?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k + 2*z, 3*k + 2*z - 1 = 0. Let v be (189\/18 - (-1)\/2)*k. Suppose v = 4*d - 5, -2*d = -x + 8. Solve 2*w - 6*w = -x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -87. Let x = 0 - -37. What is the remainder when x is divided by i\/3 + (-12)\/36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 36 = 3*k, 2*o - 458*k = -463*k - 29. Factor 2\/11*z**o + 30\/11*z**2 + 250\/11 + 150\/11*z.\nAnswer: 2*(z + 5)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/7)*x**3)\/(x**(-6)*x**(4\/3)))**(-23) assuming x is positive.\nAnswer: x**(-3634\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:11 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26364005?\nAnswer: 5, 5272801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (18\/(-10))\/((-6)\/20) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.3535 * -75.\nAnswer: -2951.5125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 - 27\/(-6). Suppose 0 = -y*i + 8*i - 12. Let h be (-6 + i + 4)*-1. Is h equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 h when four letters picked without replacement from llhllahhahlhh?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -436.09 and 0.2.\nAnswer: -87.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 10 = -5*n + 8*n, -4 = -4*a - n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*-1*982. Let h be -1 + 7 + -6 + (-42)\/1. Let w = h - d. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(-3)*i*i)*i*i)**(-9\/4)\/((i\/((i*i\/i**7)\/i*i))\/i)**20 assuming i is positive.\nAnswer: i**(-445\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -949*b + 345*b = 6644 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 760*c - 22. Let k be j(3). Suppose -3*v + 3362 = -y + 1129, 3*v - k = -4*y. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + (-2*-1*sqrt(637))**2 + (-4 + sqrt(26)\/sqrt(2))*-5.\nAnswer: 2*sqrt(13) + 2568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 5 + 2170*g - 6506*g + 2162*g + 2171*g - 2*g**2 + 13*g**2. Determine x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11876, -25295, -38714, -52133, -65552?\n\"Answer: -13419*a + 1543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)\/k)**(-4\/17))**15 assuming k is positive.\nAnswer: k**(240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6780 and 60.\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 978.0516 millilitres in litres?\nAnswer: 0.9780516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -167417, -167467, -167559, -167699, -167893, -168147?\n\"Answer: -k**3 - 15*k**2 + 2*k - 167403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 1504723?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43842 + 43858. What is the greatest common factor of x and 288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/4 - 7*a**3\/3 - a**2\/2 + 9*a + 74. Let p be (-66)\/(-10) - 10\/(-25). Let q be m(p). Solve 0 = -0*g - q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313192*j + 6*j**2 + 313192*j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -75. Suppose 3*c + 0*p - w = -p, 2*p = -c + 6. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11462140 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24311 and 9177.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 86 = 11. Suppose -3*l + k - 6 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.9 - -12.9. Which is the closest to l? (a) -4 (b) 3 (c) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2.95. Suppose -2*z = -3*n - 1, -10*z + 6*z + 26 = 2*n. Sort d, n, 2, 1\/8 in decreasing order.\nAnswer: n, 2, 1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*m + 74*m + 90*m - 12934 = -42184 for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.3. Let q = 0.18 - u. Let v = q + -0.07993. Round v to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + -0.01. What is the closest to j in -0.3, 0.1, -2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6196361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*z + z. Let d be 3 + -5 + z - 4. Is 13 a factor of (-4 - (-496)\/(-6))*6\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.237256293 to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 0*x + 27*x - 4*x - 13*x - 6*x. Let g(k) be the second derivative of -k**4 - k. Determine g(l(t)).\nAnswer: -192*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 15, -h = 4*f - 6*h - 33. Let c(d) be the second derivative of -4\/5*d**3 - d + 0 + 3\/10*d**4 + 4\/5*d**f. Factor c(l).\nAnswer: 2*(3*l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 119*g**2 - 1561*g - 1441.\nAnswer: (g - 131)*(g + 1)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - t)*(2*t**4 - 188*t**2 + 188*t**2 + 45*t).\nAnswer: -4*t**5 - 90*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - v - 2. Give p(-5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 7:48 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 181116 and 6966?\nAnswer: 181116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + -1 + (-1*sqrt(2448)*-1 - sqrt(2448)) + -3*sqrt(2448)*-1)**2.\nAnswer: -44136 + 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(-140)\/(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 + 6210360*v**2 - 24841416*v + 24841408 = 0 for v.\nAnswer: 2, 3105176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6390411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 311 + -309. Suppose -3*p + i + 496 = k*p, 4*p - 401 = 5*i. Calculate the lowest common multiple of 27 and p.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -11, 5, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:16 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 4 - 4*p**2 + 6*p**2.\nAnswer: 4*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 22*p + 3*p + 5*p as a + l*p and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/25)\/((1296\/180)\/(-9))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3874957 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-4))\/(-5) + 30\/(-20). Let o be (-453)\/132 + -2 + 1. Let g = 17\/4 + o. Which is the second biggest value? (a) h (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -9*v + 5*v. Let c = -46 + v. What is the least common multiple of 21 and c?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192398, 191871, 190962, 189647, 187902, 185703, 183026, 179847?\nAnswer: 176142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1282 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -318*p**6 - 2999*p**5 + p**3 + 65*p**2 + 132688?\nAnswer: -38160*p**3 - 179940*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + -3 + -3*(-308)\/3. What is the highest common factor of s and 980?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*z + 30*z - 1 + 1)*(-3*z**2 + 15*z**2 + 59*z**2) to the form m*z**2 + k + h*z + s*z**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 39*x + 272. Let g be p(-30). Let s = -332 - -580. Suppose 10*n - g*n - s = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1 - 19*j**2 + j + 18*j**2 + 0*j + 4*j. Let i be (19 + -1)\/(2*(-12)\/(-8)). Give y(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -173 in -2, -6, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 96 = 3*x, -5*x = -l + 1 + 7. Let a be 2\/(-3)*l\/(-12). Calculate the greatest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1865600 and 1119360?\nAnswer: 5596800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 33, 23 in increasing order.\nAnswer: 0, 23, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35905*c**3*h**3 + 913*c**3*h + 70*c**2*h**3 + 250*c**2 - h wrt h.\nAnswer: -215430*c**3*h + 420*c**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 20 = -8*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 59*v**2 - 36*v + 67. Give z(30).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 2:21 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7138363 meters to micrometers.\nAnswer: 713836.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(5\/3)\/(g**(-2\/27)\/g*g))\/(g**(-2))**(-11))**39)**(-2\/91) assuming g is positive.\nAnswer: g**(1094\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105.34 + 105.14. Let k = 6.7 - 7. What is the fourth smallest value in -4, 1, k, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p. Let f(l) = 89*l**3 + 6*l**2 - 6*l - 147. Let b(v) = -f(v) + 6*o(v). What is the first derivative of b(x) wrt x?\nAnswer: -267*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(3 + 1 + 0). Let r = -356 + 1072\/3. Which is the biggest value? (a) r (b) f (c) 3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**4\/24 + 7*t**3\/6 - 2*t**2. Let w be c(7). Let y(q) be the second derivative of -q**3\/6 - 3*q**2 + 2*q. What is y(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720\/360*(-1)\/(16\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 150. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 10*m - 6. Let i be d(4). Let y be 4*(-99)\/22*1\/(-6). Solve 35 = y*n + 4*j, 0 = i*n + 3*n - 4*j - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6))**(-26)*b\/((b*b**9*b)\/b*b*b)*b**13 assuming b is positive.\nAnswer: b**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*j + 4800, -3*x + 3855 + 3315 = -3*j. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 divided by 383?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.3 rounded to 0 decimal places?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*x = -8, -2*m - 3*x - 12 = -7*m. Suppose m = -h - 0 + 5. What is the second derivative of 5*f**5 + 2*f**5 - 3*f**h + 3*f wrt f?\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -3*c**4\/8 + 7*c**3\/6 - 1259*c**2. What is d(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**2 + 1008*b - 13524 = 0.\nAnswer: 14, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (343*y**3 - 5 + 5 + 232*y**3)*(2*y + 0*y - y) in the form p*y**3 + v*y**2 + m*y + u + k*y**4 and give k.\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-985)\/(-1182)*(-12)\/(-7)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -21. Suppose -4*p - 45 = -7*p + 3*r, 2*r + 10 = q. Let w = 211 - 101. What is the highest common factor of w and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2\/3, -1.41, 0.1, 5 in ascending order.\nAnswer: -1.41, -2\/3, -2\/9, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3059259 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 165819190?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from {s: 5, c: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (3 - (-2 + 2 + 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 3\/7, -16, -2\/3211, -2, -2\/7, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b - 1081 - 347 = -47*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 312162019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -136*o + 19599. Determine f(144).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5 + 95402*v**4 - 16103953*v**3 + 912136232*v**2 - 17620566208*v + 16724438528 = 0. Calculate v.\nAnswer: 1, 56, 95233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/2)\/((-2)\/(-2)). Let s(l) = -l**3 - 5*l**2 + 8*l + 8. Let t be s(-6). Let d = -262 - -1306\/5. What is the closest to p in t, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzj when three letters picked without replacement from yjzyzjjjzjccjjj?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 4:26 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*k**3 + 1622*k**2 - 668*k + 64 = 0. Calculate k.\nAnswer: -16, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -24*x**2 + 8*x + 11. Let y(l) = -17*l**2 + 5*l + 8. Let b(z) = -5*p(z) + 7*y(z). Let q(c) = 2*c**2 - 6*c + 1. What is -4*b(d) + 3*q(d)?\nAnswer: 2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 18*y**2 - 5. Let i be d(2). Let k = i + -26. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3624.76434 rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44, -28, -14, -2, 8, 16?\n\"Answer: -w**2 + 19*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -853 - -1707\/2. What is the third smallest value in 0.4, -4, c, -0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40651787 to the power of 1\/2, to the nearest integer?\nAnswer: 6376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 144524349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33956 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.28 - 0.28. Let h = 0.9 + 0.1. Let x = o + h. What is the nearest to 1 in -1, 3\/5, x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 764, 1397, 1898, 2273, 2528, 2669, 2702?\nAnswer: 2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*g + 57 = 1, -i = 5*g - 14. Let y(u) = -10*u - i*u + 27*u + u**3 - 3. List the prime factors of y(3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-4)\/36*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 111*m + 111*m + 47*m - 5380 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 11669726.\nAnswer: -7\/11669726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-27)\/k)**(-12))**(-36))**(-48) assuming k is positive.\nAnswer: k**580608","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 3622140?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110))\/sqrt(10) + (sqrt(1331) - (sqrt(1331) + 0)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -682 - -698. Calculate the greatest common divisor of 232 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n - 2944 = -134*n + 19316. What is the lowest common multiple of n and 150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 21?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 916.7 + -916.633776. Let y = 2.132116 + s. Let d = 2.2 - y. Round d to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 43 = -4*v. Suppose v + 1 = 4*h. What is the lowest common multiple of 8 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 16*g**3 + 2*g + 3*g.\nAnswer: 16*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.09 + 105.09. What is the second biggest value in -5, d, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0.1, 0.02, 7 in decreasing order.\nAnswer: 7, 0.1, 0.09, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123441 divided by -274?\nAnswer: 1123441\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10287*-0.6\nAnswer: 6172.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11970 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.6711 + -32.7. Round g to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1206 = 3796. Suppose 2*x + 8 = 0, 4*l - 5*x + 269 = q. Suppose -11*m + l = -10*m. What is m rounded to the nearest 10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 14 (c) -2\/13 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 2. Determine v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 294, 575, 856, 1137, 1418?\n\"Answer: 281*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -73*t - 72*t - 97*t + 264*t. Let w(g) = 163*g**2. Calculate w(v(d)).\nAnswer: 78892*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4 + 6 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/85019673 and -13\/555.\nAnswer: 425098365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 444\/(90*32\/240)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 40 = -4*s, -s + 4*k = 4*s + 51. Let w(d) = d**2 + 7*d + 5. Let p(u) = -u**2 - 10*u - 7. What is s*w(r) - 5*p(r)?\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 13 - 1. Suppose x - 6*x + 0*x = 0. Suppose 2*g + x*a = -2*a + 26, -z*a = -9. Is g bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 222*l**3 - 2146. Let q(o) = o. Give q(h(s)).\nAnswer: 666*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6784136.\nAnswer: 2, 848017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f + 5 = -179. Suppose 2*j = j - 8. Is (-39)\/(-2) + (-1 - f\/j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -1886*k + 1887*k - 15, 0 = -11*k + 5*g - 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-612)\/(-99) + 6\/(-33). Suppose 21 = m - t. Suppose -43 + m = -4*j. Solve 0 = -3*h + 12, 4*r - h + 5*h = -j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372282341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 22.9.\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300336 divided by 8?\nAnswer: 37542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1264 - 650. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -5*j + 218. Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0912641336 rounded to 3 decimal places?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-36)\/16)*4. Suppose -9*a + 560 = -b*a. Suppose a = r + 4*r. What is the highest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/4 + 603\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saasssa. What is prob of picking 2 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36.8 and 107.8?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 186, 628, 1498, 2940?\nAnswer: 5098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1763*u - 2043*u**2 + 1769*u - 3532*u to i*u + s + k*u**2 and give k.\nAnswer: -2043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 - 8076241*i**2\/6.\nAnswer: -i**2*(i + 8076241)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5252 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21451642 (base 8) to base 6\nAnswer: -242441350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.064, -1, -0.4 in increasing order.\nAnswer: -1, -0.4, -0.064, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 2*l**7\/35 + l**6\/8 - 19*l**5\/20 + 7*l**4\/8 + 3*l**3\/2 + 5*l**2. Determine w, given that v(w) = 0.\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0399*-2\nAnswer: -0.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 13\/4 (c) -5 (d) -1\/3 (e) -2 (f) -345.47\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 15425 - (2 + 3 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1890 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1267 + 3287. Does 101 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -17 + 59. Suppose -4*a + 19 = -1. Suppose 2*j - 7 = a. Solve t - j = 2*k - 3*k, 2*k - p = -3*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 11:43 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22.7*1.528\nAnswer: 34.6856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7084\/(-187) - -37)*-17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-30)\/q*q**(-20) assuming q is positive.\nAnswer: q**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/25 and 101\/3350.\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -3966229774342\nAnswer: 3966229774342.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - (-115 + 35 + 116).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4796 = 2*i + u, 2*i + 3*u - 1908 = 0. Suppose 24 = 4*b + g - 22, -4*b + 5*g + 82 = 0. Suppose -b*w + 535 + i = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m - 4. Let c be 0\/14 + 1 + 0. Suppose -7 - c = -2*d. Suppose 1 + 19 = -4*x + 3*p, -x = d*p - 14. Let n(t) = 4*t + 5. Calculate x*n(l) - 3*g(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l**(-1\/22)\/l))\/l*(l\/(l*l*l**(4\/5)*l*l))\/l)\/(l**3)**(-39) assuming l is positive.\nAnswer: l**(12567\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q**3\/11 + 189506*q**2\/11 - 249397792*q\/11 + 13854848\/11 = 0. What is q?\nAnswer: 1\/18, 2632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11830 is divided by 455.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 66*v - 1284. Determine m(20).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/12 + 3*t**2 + t. Let c be j(0). What is the tens digit of c\/(-4)*(-68)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*j - 252 + 252 = 142*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 12 (c) -45 (d) -5\/8 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9)*-5)\/(6\/(-18))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6685.\nAnswer: 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7.5*-10606\nAnswer: 79545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15339503 plus 0.090392?\nAnswer: 15339503.090392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -31. Let u(n) = n + 20. Let f be u(z). Suppose 10 = 2*o - o + 5*y, f*o + 5*y - 10 = 0. Is 1\/4 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*s - 2*s + 7, -4*k = 3*s + 1. Let y be -2 + 7 + 1 + -2. Suppose -3*t - k*j + 76 = -4*j, -y*j + 128 = 4*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(4*sqrt(216)))\/(sqrt(726)*1 + sqrt(378)\/sqrt(7)))**2.\nAnswer: 1\/56448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 132 = -n, -n + 670 = 4*n + 3*i. Suppose -3*u - 4*z + n = -90, 2*u - 3*z - 157 = 0. Round u to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 8*x**2 - x + 8. Suppose -2*h - 2*h - 2 = -3*i, 4*i - 2*h + 14 = 0. List the prime factors of d(i).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 108*w**2 - 45*w + 55. Let c be h(7). What is the greatest common factor of 102 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 25*x + 80 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, -41, -99, -153, -203, -249, -291?\n\"Answer: 2*n**2 - 68*n + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 6) to base 9\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + 1 + x - 3*x**4 - 5*x**2 + x**4 as k*x**4 + d*x + l*x**3 + z*x**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4, 0 = 5*i + 5*w - 6 - 19. Solve -1 = -3*b - i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-16)*-4 - 0\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - w**2 + 1. Let v be z(-2). Let f = v - 3. Suppose 0 = -4*u + 3*y + 21, -f*u = -y - 3*y - 18. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-161418)\/207 - (-8)\/(-6). Let d = f - -781. Are d and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4455 and 2090.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - j - 7 = 0, -4*w + w + 4*j + 18 = 0. Suppose 3*m - 4 = -m. Suppose -2*o + 3*o + 6 = 2*l, 4*o - l - 11 = 0. Sort m, o, w in descending order.\nAnswer: o, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((264 + 254 - 962)*(3 + 2 - 3) + 2 + 1 - 4)*(-p - 3*p + 2*p).\nAnswer: 1778*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12814, -46847, -123310, -263419, -488390, -819439?\n\"Answer: -3536*j**3 + j**2 - 9284*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2524 by -4.\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/13)*m*m\/m**(-16) assuming m is positive.\nAnswer: m**(236\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 374, 563, 754, 947, 1142, 1339?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2\/5 - 48964*t\/5 = 0.\nAnswer: 0, 24482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 3 + -1)\/1. Suppose -1 = i*n + 1. Let m be (-1)\/n - (-45)\/(-42). Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(320))**2 - sqrt(5) - (2 + (0 + sqrt(5))**2 + sqrt(5)).\nAnswer: -2*sqrt(5) + 1273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -3570252\nAnswer: 17851260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4 + 5902*g**3 - 12653 wrt g.\nAnswer: 8*g**3 + 17706*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 458*m**4 + 21*m**3 + 231*m + 7. Let a(r) = 230*r**4 + 9*r**3 + 115*r + 3. Let v(y) = 7*a(y) - 3*k(y). Find the second derivative of v(l) wrt l.\nAnswer: 2832*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22112 (base 5) to base 15\nAnswer: -6c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 54 = 3*d - 84, -15 = -s - 2*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*w**5 + 5887 - 5887 + 48*w**5 + 284*w**4)*(-4 + 4 - 2).\nAnswer: 18*w**5 - 568*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 200100 (base 4) in base 3?\nAnswer: 2211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 16*d**2 - 2*d - 29. Let k be a(-16). Suppose -i = -w - 2*i - 15, -i = -4*w - 55. Let r be 17\/(-21) - (k + 44\/w). Is r less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 8*w + 9. Let k = -21 - -12. Let b be o(k). Suppose -2*r + 6*r - 2*y = 98, r + 3*y - 35 = b. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 5. Let v(l) = l - 3. Let o(f) = -4*f + 33. Let a be o(9). Let t(r) = a*y(r) - 5*v(r). Let g(s) = 2*s. Give t(g(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-55 - -59) + 65*(-2)\/(-36) and 8\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 259740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -4 - 2) + 0 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 396*w - 411*w)*(2 - 2 - 1) as h + z*w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6771 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 501, 502, 513, 540, 589?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3, 0*b + 2*b - 44 = -4*x. Suppose -2*p + b = 2*p. Suppose 2*o + w + p = 0, -o = 3*w + 1 - 3. Put 0.1, o, -0.2 in ascending order.\nAnswer: o, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 12:56 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 15 = -5*m, 3*m - 3*c - 17 = 4*m. Let i be m\/(0 - 8\/(-12)) - -199. Calculate the greatest common factor of i and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Let j(d) = 5*d + 2*d - m*d. Let p(b) be the third derivative of -b**5\/60 + 8*b**2. What is j(p(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-68)\/(-520))\/(-1) - (-96)\/624. Which is the closest to p? (a) 0.4 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let o be z(0). Let f = -10 + 22. Let w = f - 13. Which is greater: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r = 33*r + 15. Suppose -4*c + 332 = -4*k, -225 = -r*c - 3*k + 222. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*(72360\/(-84) - -11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t**2 - 9*t + 11. What are the prime factors of v(-6)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 10:46 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + x - 10633 + 10867, 22*q + 0*x + 1732 = -2*x for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ad - ca474?\nAnswer: -ca532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144421 is divided by 20625?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 o when three letters picked without replacement from {x: 1, o: 1, a: 1, f: 2, j: 2, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4)*(0 - 2) - -59. What is the units digit of (-2)\/q*-6 + (-788)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 6*n + 1386. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 1. Calculate s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*360\/32\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 17*j**2 + 11*j + 154. Give d(14).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202 + 2098. Let j be 8\/(-14) + t\/(-532) + 5. Find i, given that -14\/19*i - j*i**2 - 12\/19 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + 1 + -4 + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 4:52 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*p - 2*p - 60 = 0, 76 = 5*i - 3*p. Suppose -4*l = -3*q + i, l - 4 = q + 4*l. Let x be (12\/(-8) + q)*4. Solve 0 = x*u + 2*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.089 times -4\nAnswer: -0.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 2*q**7\/105 + 6*q**6 + 71*q**5\/3 - 30*q**4 - 712*q**3\/3 - 9*q**2 + 2*q - 166. Solve c(j) = 0 for j.\nAnswer: -178, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 4*c**2 + 2*c - 3. Suppose 0 = -10*y + 6*y + q + 48, -5*y - 2*q = -47. Let r(d) = -8*d**3 + 11*d**2 + 5*d - 8. Give y*o(a) - 4*r(a).\nAnswer: -a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13440506.8 take away 0.28?\nAnswer: -13440507.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-2)*(-4)\/(-8). Suppose 159 = -3*w + 3*t, u*w + 5*t - 100 = 5*w. Let d = -51 - w. Solve n = -n + d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276220 and 42151172.\nAnswer: 210755860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 202. Suppose -226 = 5*q + g, 0 = -2*q + g + g - 100. Let k = q + i. What is the remainder when k is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 385 + -248. Let p = b + 253. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-5)*(-8 + (-513)\/(-63)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387772317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/17 + -90\/119. Let f = 45 - 47. Which is the second biggest value? (a) f (b) k (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + 10*v - 16. Suppose 3*c + 23 = 2*h, 19*h = 18*h + 3*c + 19. Give i(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 38 = 14*s - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + m**3 - 3*m**3 + 3*m in the form y*m**3 + k*m + j*m**2 + p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -283?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 4*v)*(2*v + 2*v - 7*v + 12*v**2) + 3*v**3 - 6*v**3 + 5*v**3 + (4*v + 2*v - 5*v)*(0*v + 0*v + v**2).\nAnswer: 27*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461392.\nAnswer: 2, 28837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -20*p + 10. Let c(o) be the first derivative of -13*o**2\/2 + 7*o - 205. Determine 8*c(l) - 5*m(l).\nAnswer: -4*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -19*u**8\/56 - u**6\/120 - 283*u**5\/6 - u**4\/24 + 5157*u**2. What is the third derivative of l(t) wrt t?\nAnswer: -6840*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-40))\/(15384\/(-51280))\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = g. Suppose 4*k + k = 0. Which is the second biggest value? (a) k (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 54*a - 2616. Let h be s(48). Let g(j) = -j**3 - 25*j**2 - 22*j + 17. Determine g(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.26, 5689, -0.5?\nAnswer: 5689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = 1. Let z = 1 + 18. What is the remainder when z is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 1187. Let q(c) = 11*c**2. Determine q(z(v)).\nAnswer: 44*v**2 - 52228*v + 15498659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*p + 67*p = 110 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/12 + 1\/3. Let w be 2\/(-6) - y\/9. Let u be (w + -1)\/((-2)\/8). Solve g - u = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*t + 422 + 2315 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -516 and 12782.\nAnswer: -6595512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:55 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000001 + 100110110000?\nAnswer: 100001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 + 0)*(-102)\/(-544))\/((-45)\/(-60)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 3, c: 2, i: 2, t: 3, s: 4}. What is prob of picking 2 i and 1 t?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1385, 5315, 11819, 20909, 32597, 46895, 63815, 83369?\n\"Answer: 2*k**3 + 1275*k**2 + 91*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4812.8 + 3963. Let w = a + 752. Round w to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24633 - -12464. Let o = r + 17570. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261 is divided by 412?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o + 10 = 0. Suppose 402 = k + k - o*a, a + 2 = 0. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 5*x - 2. Let z(t) = -66*t + 127. Let v be z(2). Let f(y) = 4*y**2 - 9*y - 5. Determine v*c(h) + 2*f(h).\nAnswer: -2*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1161412735*s**3 + 83836775?\nAnswer: 3484238205*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -216126?\nAnswer: 216123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 30*w - 93. Let a be f(7). Let o = -109 + a. Suppose -3*z - 8 = -7*z. Solve -z*l - o = p, p + p - 2 = 2*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(32\/6)\/16. Which is the fifth biggest value? (a) 6 (b) -1 (c) z (d) 1\/4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285043*w**3*y + 444754*w**3 wrt y.\nAnswer: 285043*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (24 - -26 - 17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5358 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 15*h**2 + 660*h - 2459. What is p(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 11. Let b be 2\/w - 3\/(-4). What is the units digit of 0 + 0 - (-2 + b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8584*k**3 - 225*k**2 - 3*k - 6?\nAnswer: 51504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-3))\/(2\/(-3)). Let m = 2721 - 2713. Suppose 4*j - x*z + 1 = -m, j = -z. Sort j, -3, 3, -2 in decreasing order.\nAnswer: 3, j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 + 771\/11. Let m = -0.01 - -0.31. Let h = m + 0.1. Which is the second smallest value? (a) h (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -24. Let z = -7.14 - -7.09. Sort -2\/3, u, z in decreasing order.\nAnswer: z, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 22. Suppose 0 = 2*t - j + 1, -3*t - i*j = 31 + 3. Let g be (77\/4)\/7 + t. Is 2\/15 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-6)*21 - 12\/8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s + 2 + 19*s - 8*s + (6*s - s - 2*s)*(-5 - 1 + 2) - s + 0*s + 0*s to f*s + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31365\/(-5576))\/(6\/32).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 7*k - 30. Let w = -2 + 11. Calculate the highest common factor of w and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxwp when four letters picked without replacement from {p: 1, e: 1, w: 2, x: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.7 + -0.7. Let b = 16 - m. Which is greater: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from uuuuuuupuuuuuuu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 3. Let k be -7 + 7 + i\/1. Suppose 0 = -2*v + k - 3. Does -1 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3626*m - 3621*m - 3619*m - 3629*m - 3*m**3 + 14485*m.\nAnswer: -3*m**3 - 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 = -11. Let x be (-6)\/15*3*b. Solve 3*r = -0*r - x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 * -189073.4\nAnswer: 16449385.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -38*o + 43*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3*v)**(6\/11)*v**(2\/5)\/(v*v**(-1\/16)) assuming v is positive.\nAnswer: v**(1447\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2 - -5)*(-105)\/(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-84)*-30 - 14.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 10*w**2 + 4*w - 8. Let g be x(10). Let p = g - 30. Solve -p*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 2*f**2 + 2*f - 4. Let k be p(2). Let x be 0\/(-3) - -3 - (k + -8). Solve v - x = -0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 + (-14)\/12. Suppose -3458*d = -3466*d - 1960. Let r be (-7)\/d*5 + (-32)\/28. Which is the closest to l? (a) r (b) 2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7298*y. Let m(c) = 244*c. What is u(m(a))?\nAnswer: 1780712*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l + 5 - 5)*(19*l**2 - 7*l**2 + 5*l**2).\nAnswer: 187*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 - (-13 + 2) - 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15240240 by 240.\nAnswer: 63501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - k - 3*k + 3*k. Let z be 3\/(21\/14) + -3. Give b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1329293 to 4 decimal places.\nAnswer: 0.1329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 21*h - 97. Let v be d(26). Suppose 3*t + 5*s - 26 = v, 595 = 4*t - s. What is the remainder when t is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 352, 305, 240, 157, 56, -63?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuttattuuutaut. What is prob of sequence uuu?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**3\/3 - 4*o - 6. What are the prime factors of i(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnmmnwnpnwmwwv. Give prob of sequence np.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 9*d**2 + 6. Let z be i(-9). Is 4\/z - 364\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4735*w + 14190*w - 4723*w - 4733*w. Let d(u) = -7105*u - 203. Let y(m) = -209*m - 6. Let z(i) = 6*d(i) - 203*y(i). Give a(z(t)).\nAnswer: 203*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -124, -240, 223\/5?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 1878?\nAnswer: 9390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(1\/3)*p*p)\/(p**0\/p))\/(p*p\/((p\/p**(-6)*p)\/p))**(5\/12) assuming p is positive.\nAnswer: p**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 2\/9, -38, -4 in decreasing order.\nAnswer: 2\/9, 0.1, -1, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 44) + (8 - 1 - (24 + 2 - -1))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23393594 is divided by 292.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 371\/3 in -4, 1\/11, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1, c: 4, o: 1}. Give prob of picking 1 k and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*q - q - 36 = 0, -5*d - 4*q + 18 = 0. Let c be (d - 7) + 10\/8. Let j be (-2 + -13)*12\/30. What is the closest to c in 4, j, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 20. Solve 4*m - 10 = z*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 188*z**2 + 134*z - 580. Calculate n(62).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by 2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7386014*h**3 + 3*h**2 + 130*h - 42 wrt h.\nAnswer: -44316084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.95 in 4, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813 = 2*h + h. Let i be 78\/(((-2)\/2)\/2). Let n = i + h. What is n rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6669 and 702.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 23766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 - 3*c + 4. Let q be y(2). Let s = q + -23. Let p be 5*(0 + (-1)\/6). Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 - 16*z**2 - 130368*z**3 + 130436*z**3 - 18*z**2 + 53*z**2.\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 335, 649, 913, 1103, 1195, 1165, 989, 643?\n\"Answer: -4*l**3 - l**2 + 345*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185410941 a multiple of 1131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 bigger than 53\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y + 15. Suppose 3*q = -4*d + y, 0 = -3*q + 7*q + 5*d - 17. Let m = 3 + q. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 1, y: 11, o: 6}. What is prob of sequence ko?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l - 12. Let x(u) = -1. Let m(o) = -t(o) + 12*x(o). Let d(w) = -2*w**2. What is m(d(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015599860537 to seven dps.\nAnswer: 0.0155999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*p + 3*k + 146, 0 = 2*p - k - 71. Suppose f + 48 = 5*f. Calculate the greatest common factor of f and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -419 + 417 - 3*n**3 + 7*n**3 + 8*n - n - 2*n. Let w(d) = -9*d**3 - 11*d + 5. Suppose 5*z - 25 = -0*z. Determine z*g(y) + 2*w(y).\nAnswer: 2*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 70, 246, 588, 1150?\n\"Answer: 9*c**3 + 2*c**2 - 5*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 245*w**4\/12 + w**3\/6 - 11*w**2 - 8*w - 6. Find the second derivative of i(p) wrt p.\nAnswer: 490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35359800*g**2*l - 343323135*g**2 wrt l?\nAnswer: 35359800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 10. Let t be u(-4). Let k be -4 - (1 - (-14599997 + t)). Round k to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*n**3 - 50*n**2 - 52*n + 32.\nAnswer: 2*(n - 2)*(n + 1)*(17*n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8508, 17008, 25504, 33996, 42484?\nAnswer: 50968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -23. Suppose -23 = -3*z + b. Suppose z = -2*i + 14. Solve 2*x - 4*q = -7*q + 4, -2*x + i*q = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5492521*r**2 + 9027*r + 7.\nAnswer: -10985042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100111111000 (base 2) in base 10?\nAnswer: -18936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -894611?\nAnswer: -894620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-1)*65\/(-10). Let h = c - -29. Let v = -12 + h. Solve 0*i + v = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/17, -2\/19, 0.4, 0.37, -336?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -235156738?\nAnswer: 235156733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 399011\/18 - 22173. What is the common denominator of g and 49\/11?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -2)\/(-40) - 0 - (-2)\/40?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/8, 3, -5.3, -277?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 722, 1506, 2332, 3212, 4158, 5182?\n\"Answer: 2*q**3 + 9*q**2 + 743*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - z = 30, 5*d = 226*z + 3636 + 104 + 2819 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*u - 21, -35 = -5*u - 137*g + 132*g. Solve 2*m - 2*y = u*m + 9, 5*y + 5 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22220100202 - 202?\nAnswer: -22220101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14 = 5*v. Let l be (-4)\/(-3)*v\/(16\/(-12)). Sort l, -5, -3.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 1505 - 16095. Is 50 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 208*m**2 + 26617*m - 942. Determine b(-128).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*k**2 - 18*k?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*v - 20, 21*w - 3*v = 24*w + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-33))\/(8\/(-36)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 5}. What is prob of picking 1 c and 1 j?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 48 = -11*g. Let x(k) = 9*k**3 + 3*k**2 - 5*k - 9. Let r(l) = -4*l**3 - l**2 + 2*l + 4. What is g*x(b) + 5*r(b)?\nAnswer: -2*b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-7))\/((-18)\/63). Let d be (12 - (c + 0)) + 3. Let o(u) = u**2 - 11*u - 18. Does 4 divide o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 13*c**2 - 16*c - 13. Suppose 8 = -6*y + 8*y, -3*d + 5*y + 13 = 0. List the prime factors of s(d).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 times 1.982?\nAnswer: -275.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5591430 and 1458.\nAnswer: 5591430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47289 + 13998 = -892*a + 44860 + 6589 for a.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)*-2 + 6. Let l be 14\/n - 2\/1. Let o be (4 - 2)*(-2)\/5. Which is the third smallest value? (a) l (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 4. Let w be (-3)\/(-18) - (-173)\/6. Let t = w + -21. What is the smallest common multiple of v(t) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159504, -318991, -478464, -637923, -797368, -956799?\nAnswer: -1116216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52634019*t**3 - 16*t - 1982545?\nAnswer: -315804114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 12 - -19) + -14 + 0 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.358 plus -436?\nAnswer: -177.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1331)*-2 + -2 + 2.\nAnswer: -22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 8. Suppose 2*s - s + 4*j - 3 = 0, -g*s + 12 = -2*j. Suppose x + 3 = -1, -l + 17 = -s*x. Calculate the greatest common factor of l and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 9:27 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/15 and -79\/2670.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 147*y + 4. Let q be k(2). Find the first derivative of q*w - 9*w**2 - 298*w - 2 wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -894.7543 to the nearest 10.\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -292\/7? (a) -1 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -q + 1 - 3, q - 12 = 2*l. Suppose -5*s + q*s = 2184. Suppose 30 = 2*o - s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3732235648197119.9999979 + -3732236128011976. Let f = r - -479814900. Let k = f + -44. Round k to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -765 - 2845. What is r rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39224 + -27047. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 11 + 1. Let q be 2\/(-7) - (-40)\/42. Let a = -365\/3 + 1463\/12. What is the third smallest value in a, 4\/9, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 3)*(-3*l + 3 - 3) to the form y + u*l and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478400 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000164445 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 65*b - 3. Suppose 2*t = -4 + 8. Is s(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 80.7\nAnswer: -80.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49111010 smaller than 49111011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17529, 17531, 17533, 17535?\nAnswer: 17537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19874 - 13992. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 + -144.2. Let g = 0.02 + -0.02. Which is the third biggest value? (a) -0.02 (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 minus -3?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i - 4. Suppose 5*t = 86 - 31. Let n(y) = 44*y + 13. Let l(r) = -9*r - 1. Let v(q) = 5*l(q) + n(q). Let z be v(t). What is f(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14561138.\nAnswer: 2, 7280569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/8, 10507, -0.1, -3\/10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-650)\/507) + 8\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 + 1.23. Let q = 27 - 26.73. Let s = q + t. What is the third biggest value in -10, s, 2\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eneovvdnoeeeenoseee. Give prob of picking 1 v and 1 n.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 73840238 to the power of 1\/2, to the nearest integer?\nAnswer: 8593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -110 - 12?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111110111000 + -1000000010101?\nAnswer: -1110111111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 832 and 55808.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v = -39*v + 6. Let h(k) = 10*k + 65. Let n be h(v). Let s(z) = -3*z - 1. Let b be s(-1). Solve -n*d - 5 = -2*y, -y + b*d = 5*d + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/((-30)\/(-1600)). Suppose 2*y = -y + 201. Suppose n + 131 = 4*p, -n + y = 2*p - 2*n. What is the highest common factor of v and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71.1 + -68. Let q = s + -3. Let f = -42071 - -42068. What is the closest to q in 3, 4, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.6 - -8. Let l = -16990 - -16868.07. Let m = l + 122. Sort 3\/5, m, z.\nAnswer: m, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -u - 23, -5*y + 4*u - 2 = -45. Suppose -261 = y*g - 828. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11509, -11659, -11801, -11935, -12061?\nAnswer: -12179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.9471 hours to days.\nAnswer: 4.4144625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.057 - -0.002. Let b = 0.058832 - y. What is b rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5090500 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/12 and -25\/1184.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -36*p + 181. Let c be z(-56). Suppose 3*v + 1084 - 7675 = 0. What is the second derivative of 17*y**4 - 29*y - c + v wrt y?\nAnswer: 204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -62. Suppose 0 = -56*w + 49*w + c. Calculate the remainder when 1\/(2\/(-92)*-2) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1105 = -4*v, -4*v + 3*v - 1080 = 5*n. Let d = n + 387. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 11:04 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -4. Suppose 4 = i - 3*o, -2*i - 5*o + n = 3. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 11)*(0*c - 2*c - 4*c)*(-6 + 0 + 4).\nAnswer: 120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 5*v - 40. Does 13 divide q(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50899768?\nAnswer: 2, 17, 31, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*d + 18, 44953*d + 2*c - 8 = 44954*d - 4 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 3\/2)*0. Suppose n - 4*n - 2*g + 22 = w, -5*g + 29 = n. Let q = 13 + n. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(245) - 2*sqrt(405).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -25, -68, -149, -280, -473, -740, -1093?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -23 + (22 - (-8 + 14)) + 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus 4953987232?\nAnswer: 4953987212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Suppose 6 = 3*y - b. Solve y*h - 5*z = 3, 4 = 3*z + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -258, -0.4, 8534?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2. Let d be a(-1). Which is bigger: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:53 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4 + 4*x**3 + 2*x**2 - 12*x - 9 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 390066\nAnswer: 13\/390066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -209, 1.95, 2\/11, -244 in increasing order.\nAnswer: -244, -209, 2\/11, 1.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(50) + 3)**2.\nAnswer: -354 - 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(75)\/sqrt(5))*-2)\/(-1*sqrt(3)*-1) + (-2 + sqrt(500))**2 + 4*sqrt(5)*3.\nAnswer: -32*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g + 4*g**3 + 10*g + (-g + 0*g - 3*g)*(5 + 0 - 3)*(11*g - 3*g - g)*(4*g - g - 4*g) to s*g + v*g**3 + p + k*g**2 and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/8 and 62\/1299.\nAnswer: 10392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 1\/(12\/134) and 158\/(-88)*(-4)\/(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = -17*i - 66. Put i, -11, 0, 1 in decreasing order.\nAnswer: 1, 0, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 2, 0*f - 1233*q = 2*f - 1231*q + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6966)\/(-9) + (-16 - 11). Calculate the greatest common factor of 3071 and m.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 5. Let h(p) be the second derivative of 3*p - p**2 - 5 + 1\/3*p**3. Calculate 7*h(q) + 3*n(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**2 - 469212*q = 0?\nAnswer: -156404, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*h + 4945 - 43281 = -686*h + 191*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 2023*u - 888105. What is o(371)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888*f + 702*f + 885*f - 2471*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*v + 78*v - 66*v - 1105 = 0 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3491\/18 - 194. Is j greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 72*g - 2083. Let y be l(29). Let 25\/4*r - 5\/4*r**2 - y = 0. What is r?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1167557040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c**2 + 0*c**2 - 3*c**2)*(4*c - 4*c + 4*c**2 + (4 - 2 + 3)*(8*c**2 + 6*c**2 - 7*c**2)) to the form q*c + f*c**4 + r*c**2 + n + s*c**3 and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 4*s**3 - 2*s**3 + (3*s - s - 3*s)*(-3*s**2 + 5*s**2 - 3*s**2) + 35*s**3 - 41*s**3 - 33*s**3 + s**3 - s**3 + s**3.\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a + 3*a + 2*a**2 + 2 - 8. Suppose 4*q + 15 = -3*l, -6*l = -l - 15. Is 10 a factor of o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -9*j - 75. Does 31 divide (-620)\/25*j\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 205302353?\nAnswer: -205302355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 24 - 4, 2*t + 91 = 3*f. Calculate the remainder when 128\/(-6)*18\/(-4) is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-3)\/(-6) + -5. Let r be 4\/(-8) - 3\/f. Suppose 5*q - 26 = 4*z, q - 6*z = -z + r. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90774 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 3:39 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 63 = -9. Let w be (-8)\/(-6) - 12\/a. Is (2\/(-3))\/(w\/(-102)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38628, -38629, -38630, -38631?\nAnswer: -38632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c - 3*w - 134, w = -c + 30. Let z be 0*(28\/(-8))\/(-7). Suppose z = -5*y + y. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/9 + 137156*j**2\/9 + 822992*j\/9 + 1097344\/9 = 0. Calculate j.\nAnswer: -4, -2, 68584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2878161?\nAnswer: 3, 11, 13, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*s + 4, 0*f - 3*f + 7 = -4*s. Let b(h) be the third derivative of 1\/60*h**6 + 0*h + 0 - 2*h**2 - 1\/60*h**f - 1\/12*h**4 + 1\/2*h**3. Give b(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + k. Let l be y(0). Let o = 0.44 - 0.04. Suppose -3*i - 25 = -10, -j = -i - 8. What is the closest to l in o, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/12)\/(104\/(-156))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 3*n - 13*x - 4, 2*n + 1 = 5*x. Let u = -2 + 6. What is the third derivative of -17*h**4 - 22*h**2 + 4*h**n - 22*h**u wrt h?\nAnswer: -936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(195)\/sqrt(5))\/sqrt(3) + sqrt(13)*2 + -3.\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -p - 3*p. Let m = p - 30. Sort -5, m, -4 in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.165 + -32844?\nAnswer: -32844.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57\/29 + -1979\/638. Let x = g + 7\/11. What is the nearest to 1 in 3\/8, x, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 10*w + 9. Let b be q(10). Let g = b - -13. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -23, -1, 6, 1, 7 in ascending order.\nAnswer: -23, -1, 0, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-24)\/(-16) - 3. Suppose -2*x + 4*k = -1238, o*x + 9*k - 1912 = 4*k. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -53*v**2 + 82*v + 3. Let l(c) = 104*c**2 - 165*c - 7. Let p(h) = -3*l(h) - 7*z(h). What is the second derivative of p(f) wrt f?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/(a**1\/a)*a))\/a)**(-6\/29))**(-27\/2))**37 assuming a is positive.\nAnswer: a**(-5994\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r**6 + 0*r - 1\/30*r**5 + 0*r**3 + 4*r**4 + 2\/15*r**7 + 3 + 32*r**2. Find the second derivative of y(m) wrt m.\nAnswer: 336*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/20 + x**4\/4 - 50*x**3\/3 + 48*x**2 + 2*x + 1587. Factor u(l).\nAnswer: (l - 8)*(l - 1)*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73662*c**4 + 21095 wrt c?\nAnswer: 294648*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/100 of a litre?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 51\/(-12)*2*2. Let h = g + 23. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(14\/21))\/(6\/(-12)). Let f(g) = -3*g**3 + 4*g**2 + 2*g - 8. Calculate f(m).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -1e2242?\nAnswer: -1e2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4 - 12294*m**3 - 335349*m**2 + 5050140*m - 4702500 = 0. What is m?\nAnswer: -38, 1, 10, 4125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n = -t + 4, -5*t + 72*n = 26*n + 42*n + 96 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -243 and -241 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*z - 82 + 13, -z - 161 = -5*t. Calculate the smallest common multiple of t and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 72 + 2033 = 5*p, -4*y + 3892 = 4*p. What is the lowest common multiple of y and 880?\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 519, 517, 515, 513?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4722221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84915 and 3792870?\nAnswer: 11378610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i - 77 - 99 = -5*p, 3*i + 14 = -3*p - 14 - 5 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(11990\/49280*64).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 57340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 3*l + 6. Let o be z(-5). Suppose -w + 4*y = -o, -42 = -2*w - 3*y - 5. Suppose -b = -2*b + w. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:51 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2772652 and 13736.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-6) - (19 - (-320)\/(-15)). Solve -9*p + w*v = -12*p + 10, 6 = -p + v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (282\/47)\/(12\/(-98))*-1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s + 5*r = -33*s - 41*s + 129, -66 = -4*s - 2*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 8*q - 8. Let t be l(1). Solve -u - t*u - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - -0.1. Let r = 73 - 71. Put z, -6\/11, r in decreasing order.\nAnswer: r, z, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148951725 a multiple of 673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 20022012?\nAnswer: 20021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a + 156. Determine d(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-788 + 3359 + 55)*(-2*m + 2*m - m).\nAnswer: 5252*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6769 divided by 967.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1820b (base 15) to base 5\nAnswer: -4444321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1060987 and 231235?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -11. Let z(w) = 2*w**2 + 2*w - 2. Let t be z(-2). Suppose -r = -t*r. Solve -h*l - 5 - 5 = r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 57 = -4*j + 81, -4*j + y = -143. Let b(k) = k**3 - 39*k**2 - 72*k - 225. Let f be b(41). What is the greatest common divisor of f and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4509336\/(-11310) + 399 + -1 + 3\/5?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78239006 is divided by 8196?\nAnswer: 8186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8723100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10136 and 1991?\nAnswer: 111496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -249*l + 2476 + 2504 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*j + 22 - 22)*(23 - 2*j - 23)*(-3*j**2 + 0*j**2 + 2*j**2).\nAnswer: -148*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 8 = -2*x, 4*x - 2*x - 2*g - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -261075*q**3 - 565748640*q**2 + 7671177*q\/4 - 6501\/4.\nAnswer: -3*(q + 2167)*(590*q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/12 of a year?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.91 + 0.09. Let m be ((-3)\/(90\/25))\/(-1). Which is the third biggest value? (a) x (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1\/y**(-11\/4) assuming y is positive.\nAnswer: y**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552672495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -2033?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-2) - 31\/62. Let d be (-2)\/(2 + -8) - (-8)\/n. Are d and 1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246400301.\nAnswer: 7, 35200043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 21.7. Let h = 0.1 - l. Suppose -4*k + 5*y = -0*y - 7, -11 = 4*k + y. Which is the second biggest value? (a) h (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -5, 3, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Let s = 27 + k. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340*s = 1343*s - 24. Let g(c) be the second derivative of 0 - s*c + 0*c**2 + 7\/6*c**4 + 4\/3*c**3. Find the second derivative of g(n) wrt n.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -8. Let w be 3 - (6*-1 + 3). Let r = 18 - w. What is the greatest common factor of j and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -8*p + 7*p + 1, 0 = 5*g - p + 1. Suppose 3570 = -n - g*n. Round n to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - 0.46. Let a = -49 + 51. What is the third smallest value in y, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.3 (c) -0.5 (d) -756\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20.73066 or -0.2?\nAnswer: -20.73066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0617 * -1.4912.\nAnswer: -0.09200704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/9, -93, -1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13643 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + r - 66 = 0. Suppose r*t + 8 = 15*t. Which is greater: 1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -350, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1309, -464\/5, -0.1 in decreasing order.\nAnswer: 1309, -0.1, -0.2, -464\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 2 (b) 2\/7 (c) 0.14 (d) 0.23 (e) -13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-189)\/(-546)*-13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 3:51 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - c**2 + 103. Calculate z(0).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4.69, 2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 56 + 575*b + 22 + 8 in the form m + q*b and give q.\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-0.073.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1522*n**3 - 1103*n**3 - 422*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2016 or -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/21)\/(1\/2*(-13)\/((-2457)\/(-42)))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 240 = -p, w + p + 0*p = 82. Suppose 4*c + w = 1259. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-14 - -8) - (-1 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**2 - 5*x**4 + 0*x**4 - x**2 - 3*x**4 wrt x?\nAnswer: -192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 20*i - 20. Let d be a(-16). Let o be 48\/d - (-64)\/14. Solve 13 = -5*g - o*s, 2*s - 6*s = 3*g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1597, 1607, 1627, 1663, 1721, 1807, 1927, 2087?\nAnswer: 2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdnwfcnncfrddwrd. What is prob of picking 1 c, 1 n, and 2 d?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1604*c**2 - 1584*c**2 + 3180*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3 + 38*h**2 + 76*h - 48 = 0.\nAnswer: -6, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 456689.1nm in meters?\nAnswer: 0.0004566891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/68)\/((-1)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozokkffzozz. What is prob of sequence kzfk?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - 372\/(-90)) + (-88)\/60. Let z be (-40)\/12 + 6 + -4 + 1. Sort -3\/5, a, z in decreasing order.\nAnswer: z, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.28 - -0.28. Let o = 12 + u. Let s = 19.99935 + o. What is s rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (4 + -8)) + 1 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -763 + 1299. Let h = i - 541. Which is the fourth biggest value? (a) 0.2 (b) 0 (c) 4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3355*d**4 - 111*d**2 - 592*d**4 + 1126*d**4 wrt d?\nAnswer: -67704*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -496180.899765 + 496183. Let j = 0.35 + 1.75. Let s = z - j. What is s rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43093, -86205, -129317, -172429?\nAnswer: -215541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 11:26 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 24 - 39 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 3, x: 1, d: 3, r: 2, h: 3}. What is prob of sequence xhrl?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196 + 116. Let b be 330258\/17080 + (-32)\/r. Let a = 6\/427 + b. What is the common denominator of 47\/11 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112621?\nAnswer: 19, 31, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/90)\/(-1*28\/(-20))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40989121 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11\/2 - 8. Suppose m = -2*m + 3*x + 9, 15 = -3*x. What is the nearest to m in -0.4, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 8:31 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u - 373 + 128 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -16. Suppose -2*x = -m - 1. Let o = 344 + -341. Calculate the least common multiple of x and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*f*f**(-1\/11)*f))\/f**(-7))\/(f**(3\/8)\/(f\/f**(-8\/7))))**(-34) assuming f is positive.\nAnswer: f**(-61353\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*m - 5*k, 13 = m + 2*k + 3*k. Suppose -m = -3*y - d, -4*y = -4*d + 2*d - 14. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + q)*(4 - 2*q**3 - 4 + (2*q**3 + 0 + 0)*(-23 + 7 - 25)).\nAnswer: -84*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-6*(sqrt(1377) + 0 + sqrt(1377)) - (sqrt(1377) + 4*(sqrt(1377) + 2 - sqrt(1377)) + sqrt(1377)))*2)**2 + -3 + 2.\nAnswer: 8064*sqrt(17) + 1079825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 1742 + 10600. Suppose 2*q = -20*q + s. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4065, 16140, 36281, 64500, 100809, 145220?\n\"Answer: 2*a**3 + 4021*a**2 - 2*a + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaz when three letters picked without replacement from {g: 1, x: 1, v: 4, a: 2, z: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**2*g - 85*a**2 + 32*a*g + 19*a + 82*g wrt g.\nAnswer: -3*a**2 + 32*a + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-8)\/6 + 1)*-3. Let o be 2 + (23 - (-2 - -4)). Let r = z + o. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 6\/35, 3?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i - 121 + 462 = 0. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -281? (a) 3\/11 (b) -12\/11 (c) -2\/13 (d) -2\/3 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, -2\/13, -0.4, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:02 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263058 is divided by 3054.\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {i: 2, m: 1, x: 2, v: 1, l: 1, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 817, 831, 859, 907, 981?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -5 (c) -0.077 (d) -1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001908711315 to seven decimal places.\nAnswer: 0.0001909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12306 and 840?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/sqrt(6)*-4 - -4*sqrt(44).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -53 + 3*v**2 + 13*v + v + 12*v - 4*v**2. Let h be y(24). Let f be (h - 322\/(-21))\/((-2)\/(-6)). What is the greatest common divisor of 279 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 373095 and 1243650?\nAnswer: 3730950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(2*b - b - 3*b) + 3*b + 3*b - 3*b + 2*b + 0*b + 0*b)*(-6*b + b + 3*b) - 2*b**2 - b**2 - 7 + 4*b**2.\nAnswer: -17*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(343) - sqrt(343)) + -5 + sqrt(343) + (sqrt(343) - sqrt(343)*2) + -4 + sqrt(343) + 3)**2.\nAnswer: 924*sqrt(7) + 41539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/((-3)\/(-15)). Suppose -30 = 10*n - 50. Solve 10 - y = n*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5259, 5215, 5161, 5091, 4999, 4879, 4725, 4531?\n\"Answer: -b**3 + b**2 - 40*b + 5299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9) + sqrt(9)*4)*4.\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/4 + 3*y**2\/2 - 27*y\/4 - 35 = 0.\nAnswer: -7, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 141364 and 141364 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkkp when four letters picked without replacement from {f: 4, p: 1, k: 1, w: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -507, -997, -1487, -1977, -2467, -2957?\nAnswer: -3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*((-4)\/(-12))\/(3\/45). Let b = y + 48. Differentiate 0*q + 4 + 4 - 21*q - b with respect to q.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 62 - 42. Let w = s + -3. What is the remainder when w is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*d - 4 = 0, 3*j + 3*d = -0*d + 33. Let k be 6\/2 - (4 + -5). Suppose 0 = -3*z - k*o, 2*o + 9 = -o. Solve -z = -2*x + j*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47573, -47588, -47603, -47618?\nAnswer: -47633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -2291 in decreasing order.\nAnswer: 5, -3, -2291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 34*j + 289. What is n(-13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159\/352 - 3\/32. Let z = 4.13 - 0.13. Sort -3, d, z.\nAnswer: -3, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 14*u**2 + 27*u - 31. Calculate o(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16560)\/(-64) - (-1)\/4. Suppose -5*u = 2*a - 449, -2*a + s = 2*u + 83. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 423*m + 42570. Give x(165).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.3952ms in seconds?\nAnswer: 0.0963952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -14 - (-20 + (-5 - -41))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*-1 - (-2)\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 1 (b) 516161 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11418*c**3*v**6 + 72*c**3*v**3 + 2*c**3*v**2 - 2*c**3 - 72375*c**2*v**2 - c*v**2 - v wrt v?\nAnswer: 1370160*c**3*v**3 + 432*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5587813*x**3 - 13791*x - 29?\nAnswer: 33526878*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/2 - 5*k**2\/2 - 13*k - 1. Let s(u) be the first derivative of x(u). Let w be s(2). Solve 3 - w = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*b + 5*b - 33, 1 = -b - 3*n. Suppose -b*s = -6*s - 62. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79? (a) -0.4 (b) -3 (c) 2\/4879 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 3877 + 1323 + 2554.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from eqewwwwweheqeereewee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 166152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 7*o**2 - o + 28. Let m be x(12). Let i = m - 485. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*g + 2308, 0 = -3*y + 703*g - 704*g + 1396. What is the remainder when y is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + q = -0*k - 13, -4 = -q. Let c = 16 + k. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -3*l**3\/2 - 9101*l. Let y(i) = -19*i + 1. What is 9*u(k) - 4*y(k)?\nAnswer: -5*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -303 - -383. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.76 (c) -941\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-46)\/6)\/((-2)\/40). Let j = f - 155. What is the smallest value in 0.4, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 16.06 in descending order.\nAnswer: 16.06, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15263341 (base 7) to base 9\nAnswer: 2666117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 (base 15) in base 8?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -8. Let p = v + 11. Let d = 4 - p. Which is the second biggest value? (a) d (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -5924738\nAnswer: -1\/2962369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554514120.\nAnswer: 2, 3, 5, 513439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 3, 81\/7, 9\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0529*-2\nAnswer: -0.1058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 15*d**2 + 21*d - 112. Determine c(-12).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + t + 10. Let f be o(-8). Let m = f - -213. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -222?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqeeeqm. What is prob of sequence meq?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 9:06 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/7*(-27720)\/4950?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 250 + -249.849. Round o to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t - l - 1 = 0, 2*t + 5*l + 17 = 0. Calculate the remainder when 322\/t + 6\/(-4) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 1. Let d(j) = -j**2 + 1. Suppose 0 = -0*k + 4*k + 4. Give k*m(c) - 4*d(c).\nAnswer: 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 5*a**2 + a + 7. Let g be q(-5). Let s be (g\/4)\/(1\/76). Suppose -s = -4*h + 62. Calculate the remainder when h is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (7 + -11 - -2) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3*(-4)\/(-108)))\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -1\/21, 3, 14\/3, -0.08, 1.1?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3484839*j**3 + 1598293?\nAnswer: -10454517*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**3 - 4*k**2 + k - 2. Let h(v) = v + 13. Let l be h(-17). Is z(l) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlljaa. Give prob of sequence lx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 84*v + 841. Let h be q(-10). Suppose -y + 18 = 5*p + 2*y, 2*p = -y + 7. Put h, 6, p, -2 in ascending order.\nAnswer: -2, h, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1464 - -1311. Suppose -s = -6*p + 2271. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 451840 and 7040?\nAnswer: 4970240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -20. Let c = 9.65 - 10. Let f = 0.05 - c. What is the closest to k in 5, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137431 or -137429?\nAnswer: -137431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x - 21. Let h be u(-3). Let i be (60 + -1)\/(5 + 0). Is i at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 + 277.77. Let v = y - -0.98. Let p = -1374\/7 - -196. Which is the third biggest value? (a) p (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 36*k + 25 - 179. Let p(j) be the second derivative of k*j**3 + 52*j + 0 - 5\/2*j**2. Differentiate p(q) wrt q.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11710309 from 39003.\nAnswer: 11749312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 4. Let p be (-2)\/(132\/(-63) + c). Suppose i = p + 3. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z = 10. Suppose -5*m = -z*y - 20, 4*m - 3*m = 3*y + 8. Let f = -0.9 - 0.1. Which is the smallest value? (a) f (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*1\/(-11))\/13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004963 to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*s - 116, 4*s = -2 - 10. Let b be (-1)\/9*(-1 - -13)*-33. Calculate the greatest common factor of b and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 169*t**5\/60 - 61*t**3\/3 + 71*t**2. Differentiate r(f) with respect to f.\nAnswer: 338*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742 = 262*u + 1154 + 200 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 11:14 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j - 7. Let q be i(-3). Let d = 3 + 0. Which is bigger: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 591, -3, 4, -14, 0, 2 in decreasing order.\nAnswer: 591, 4, 2, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7896727 is divided by 102.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-1)*(-4)\/8. Suppose m*f - 40 = -3*f. Is 9 a factor of -5*2\/f*-16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 12:12 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = o + 68, 15 = v - 3*o - 15. Solve 2*j = -v, -4*j - 8 = -4*b + 8*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*t + 1, -10*t = -13*t + j - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 49*s + 38. Let r(b) = -28*b. What is 2*r(u) + v(u)?\nAnswer: -7*u + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8794832 to the nearest integer?\nAnswer: 2966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000723469.\nAnswer: 1000723469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 9*f + 3. What is the remainder when 89 is divided by u(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7818.\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*q - 3*c, 3*c = -2*q + 2*c - 31. Let h be (-522)\/(-45) + (q\/5 - -3). Solve 3*j + 3*l + h = 0, 0 = l - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 155 = -40. Solve 4*t + 4*u = 3*t + 13, x*t + 4*u - 17 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43450000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k + 5. Suppose 2*h - 96 = 5*h - 3*a, 0 = -3*h - a - 112. Let j = 22 + h. Let d(v) = -20*v - 14. What is j*z(f) - 5*d(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1313742, 2627526, 3941306, 5255082?\n\"Answer: -2*s**2 + 1313790*s - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5952.28 years in months?\nAnswer: 71427.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669861 is divided by 22938.\nAnswer: 4659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9896, 9834, 9728, 9578?\n\"Answer: -22*r**2 + 4*r + 9914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/3 - 188*l\/3 - 3416\/3.\nAnswer: 4*(l - 61)*(l + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/2 + 1\/6. Factor -2\/3*a**3 + 0 + 2\/3*a**2 + 2\/3*a - k*a**4.\nAnswer: -2*a*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 389 in -0.12, 3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 986706 to the nearest 1000.\nAnswer: 987000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*z + 19*z - 7*z - 16*z)*(z + 0 + 0) to v + r*z**2 + w*z and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, -2, 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(63)\/(sqrt(27)\/sqrt(75)) + 1)**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r + 7*r**2 - 5*r - r + 59 - 71 as v + o*r + t*r**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 3*u. Let r(h) = 2*h + 1. Let l be r(-1). Sort l, -4, u in decreasing order.\nAnswer: u, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -66*i + 791 - 394 - 394. What are the prime factors of f(-13)?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.3 - -31.3. Let w = d + -24.38. Let f = w - -0.56. Round f to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3 + 3 + 3 - 7 - 3 + 5 - 3 + (1 + 1 - 3)*(-4 + 3 - 1) + 5 - 1 - 9)*(1 + 1 - 4)*(7*w**2 - 3*w**2 - 3*w**2).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -91731 times -0.38\nAnswer: 34857.78","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -803*k - 27529 = -21105 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**5 + 6*v**3 - v**2 + 3*v - 3. Let n(s) = 23*s**5 - s**4 + 35*s**3 - 6*s**2 + 17*s - 17. Let a(l) = 6*n(l) - 34*r(l). Factor a(p).\nAnswer: 2*p**2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 28. Calculate q(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 256*x**3 - 53 - 183*x**3.\nAnswer: -439*x**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 431*g - 433*g - 22, 3*g + 23 = y. Suppose -652 = -3*t + 365. What is the remainder when t is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/9 + 1434176*d\/9 - 257107599872\/9 = 0.\nAnswer: 358544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 9*j**2 - 12*j - 13. Let g be f(7). Which is the closest to 0? (a) g (b) 2\/9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3802227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11927*x**2 + 398*x + 11929*x**2 - 2 + 11931*x**2 - 35791*x**2 to f*x**2 + s + g*x and give g.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.933 + 0.067. Let s = 1 + -0.6. Which is the smallest value? (a) -5 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2091*t = -2092*t - 27 - 9, 0 = 13*a + 5*t - 280 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178768 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 8*a + 2. Suppose 2*q + 2*q - 32 = 0. Let p be y(q). Suppose 4*w + 2*f = 36, -3*w - p*f + 34 = 3*f. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*y - 164*y + 38 = 4*w, 3*y + 57 = 3*w. Let g(n) = -5*n - 94. Calculate g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1548, 1562, 1584, 1614, 1652, 1698?\nAnswer: 1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1281*g + 35875. Let m be u(28). Let o(y) = 6 - 5 + 6 + 14*y. Let f(r) = -9*r - 5. Calculate m*f(z) + 5*o(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -16, -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 293*k**6\/30 + 41*k**4\/6 + 43*k + 1. Find the third derivative of s(f) wrt f.\nAnswer: 7032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2345 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + p + 14 = -p, 4*l = 3*p - 13. Let b(d) be the second derivative of -6*d - 1\/12*d**4 + 0 + 3\/2*d**2 - 2\/3*d**3. Calculate b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 * 6060.87\nAnswer: -4303.2177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5*z**2 - 2*z. Calculate j(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 2*w - 63. Suppose 2*q = -7*q + 360. Suppose -8*g - q = -w*g. Solve 3*m = 5*s + 31, -4*s = -5*m - 2*s + g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -275*o + 898. What is c(4)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*1 + -2.\nAnswer: -2 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*f - 3 - 1, 4 = -2*f + 2*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911\/1811 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127*(-5)\/35 + 8 - 72\/(-63)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1686*p**3 + 7*p**2 + 9*p + 1. Is c(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/48 and -47\/40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15437651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h - 2. Suppose 4*y + 2*p = 46, -5*y = -p - 69 + 8. Let i be (0 - 3\/y)\/((-9)\/144). Give n(i).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324513 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -caea?\nAnswer: -cae9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 51 + 23*c**2 - 12 - 21*c**2.\nAnswer: 2*c**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7568\/79464*(-7)\/(-10)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 - 13593104*c**2 + 11548361330368*c - 138578378564352 = 0 for c.\nAnswer: 12, 1699132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/7 - 2*h**2\/7 + h\/7 + 2\/7.\nAnswer: -(h - 1)*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 - 12987 = -300*t + 8918. What is the remainder when 1734 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1206220696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 7. Let k be o(-5). Let z = -1825\/9 + 203. What is the third biggest value in z, 0.5, k, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (406\/(-696))\/(21\/(-8))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from bbbblbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3\/4 - 1679755*o**2\/4 - 1679775*o = 0. What is o?\nAnswer: -4, 0, 335955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3216 and 339288.\nAnswer: 678576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 3*z**2 - z**2)*(-3 + 3 + 2)*(0*z + 0*z - z - 1)*(4*z + 1767 - 1767).\nAnswer: -24*z**4 - 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4163)\/3220 - (-3)\/20\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15912 and 189297.\nAnswer: 334677096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*c + 3, -4*r + r - c - 1 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**4\/4 + w**2\/2 + 27*w + 11. Let d(x) be the second derivative of u(x). Let y(b) = -15*b. Calculate d(y(z)).\nAnswer: 90*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r + 4*o + 1, -5*r + 51 = -4*o. What is the least common multiple of r and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*m**3 + 25*m**2 - 39*m**2 + 14*m**2.\nAnswer: 87*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*c, -18 = -0*p + 6*p + 3*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - 2*d)*(3*d**2 + 0 + 0) - 3*d**3 + d**3 + 0*d + d.\nAnswer: d**3 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 79.34, 4, -499, 6\/11?\nAnswer: 79.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 23*a**5\/10 + a**4\/6 - a**3\/2 + 3*a**2. Let r be f(2). Let i = r - 322. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -50. Which is the nearest to 1? (a) 2 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2 + 205654*l + 1233852 = 0.\nAnswer: -102821, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 5*v + 110. Calculate y(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 376*h - 1135*h - 5 + 379*h + 375*h. Let l(b) = 3*b + 2. Calculate 3*a(x) + 7*l(x).\nAnswer: 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -168? (a) -0.22 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182 + 2616659*m**2 + 3*m - 2616659*m**2 - 8*m**3 to the form p*m**3 + g + t*m**2 + z*m and give g.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 886, 1790, 2708, 3646, 4610, 5606, 6640?\nAnswer: 7718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 348 - 532. Let r = h - -261. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tstt when four letters picked without replacement from sssttstsssssssttssss?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 20. Let z be d(17). Let m = -52 - z. Sort -4, m, -17.\nAnswer: -17, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -365*p**3 + 4*p**2 + 5*p. Let i(u) = 548*u**3 - 6*u**2 - 8*u. What is -5*i(a) - 8*m(a)?\nAnswer: 180*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -685*y**8\/336 + 49*y**4\/3 - y**3\/3 + 4*y**2 + y. Find the second derivative of v(a) wrt a.\nAnswer: -13700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 5753.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7*l + 8. Let u(w) = -w - w**2 + 2 + 1 - l. Let k(s) = 2*s**2 + 6*s - 4. Give -k(f) - 4*u(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 14. Suppose -m = b*m - 6. Let g(z) = z**2 + 2*z - 2. Give g(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3441908, 0.2, -5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -11.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*1*-24. Let o(m) = -6*m + 158. Let t be o(26). Suppose n = -t*d + 24. Let g(h) = -h**3 + 5*h**2 + 4*h - 3. Give g(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93469, -189154, -284839, -380524, -476209, -571894?\n\"Answer: -95685*k + 2216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2575 and 3811.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*n + 134*n = -74480. Is 76 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 - 59. Let p = d + -326. Let t = p - -120. Which is the nearest to 37? (a) 2 (b) t (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 7, x: 2, z: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 21*r**2 - 28*r - 26. Let l(p) = -10*p**2 + 13*p + 12. Give 6*d(f) + 13*l(f).\nAnswer: -4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - a + 7849 = 4*a, 4*o + 4*a = 31348. Is 43 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 87*h**2 - 991*h + 20. List the prime factors of k(19).\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4.1 (b) 1 (c) -5 (d) -4686\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y - 20 = 0. Which is the second biggest value? (a) y (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.677177972 rounded to 1 dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 26030 - 26030 + 10731*r in the form c*r + v and give c.\nAnswer: 10731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.065 and -5464.\nAnswer: -5463.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4 + 2*p - 7*p**2 + 11*p**2 + p**3 - 6 + 0. Let t be k(-3). Which is smaller: t or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 799470 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -30.38 times 58\nAnswer: -1762.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4321803*m**2 - 5475529*m + 1 wrt m?\nAnswer: 8643606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Suppose -3*g - 355 = -4. Let i = g - -122. Sort 4, i, m in decreasing order.\nAnswer: i, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from nwwnnwwnff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183812388475 - 183812388955.999999529. Let k = -481 - h. What is k rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(-12)*3904\/48. Let w(u) = 20*u + 2. Let t be w(4). Let g = m - t. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from uvvvvuuuuuvvvnvur.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*v + 4*u, -4*v - u = -0*u - 19. Suppose n = v - 1. Let s = 16 + -11. What is the remainder when s is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2583\/(-1968)*14\/147.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.087 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 745680, 745896, 746484, 747630, 749520, 752340, 756276?\nAnswer: 761514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*o - 5*f + 16, 5*o = 2*f + 40. Let w(v) = 31*v**2 - 11*v + 11 - 13*v**2 - 6*v**2 - 5*v**2 - o*v**2. What is w(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 0.617 (c) -1\/6 (d) -26\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 320023112?\nAnswer: 320023122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -767\/10 - -1239\/10. Let s = f + -421\/10. What is the common denominator of -55\/12 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -4*t - 5*p + 64, -5*t + 5*p + 870 = 0. Let v(z) = -177 + 344 + z**3 + 4*z**2 - 7*z - t. Give v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -473 (b) 0.05 (c) -32\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42668 is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 2. Suppose j + 0 = -4*n - 14, -3*j - 4*n = 34. Give l(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69 and 115.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 633236509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -324969870 to the nearest 1000000.\nAnswer: -325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0487 and -0.0255912.\nAnswer: 0.0231088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39579882?\nAnswer: 2, 3, 6596647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f - f)*(-f - 5*f - 3*f)*(2*f - 2*f + 6*f).\nAnswer: 108*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*p - 29 + 29 + 222*p - 3515*p to m + y*p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/120 + 3*u**5\/20 + u**4\/12 + 11*u**3\/3 + 15*u**2. Let o be i(-9). Solve t + o = 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 3156.\nAnswer: 25248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeekkeebkek. What is prob of sequence be?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123.4 - 123. Let f(l) = l + 3. Let x be f(4). Let i(v) = v - 11. Let s be i(x). Which is the closest to 1? (a) s (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 147716423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23211, 92567, 208159, 369987, 578051, 832351, 1132887?\n\"Answer: 23118*d**2 + 2*d + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/30 - 612\/(-120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 604.824 hours?\nAnswer: 2177366400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54\/63)\/((-1)\/(-7)). What is the third derivative of 64*m**5 - 4*m**2 + 2*m**l - 2*m - 92*m**5 + 4*m**2 - 6*m**2 wrt m?\nAnswer: 240*m**3 - 1680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1493 < -2685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 7 + -14 + -12 + (-1 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:13 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/13)*g\/g**5)\/(g\/(g\/(g\/((g*g**(-2))\/g))))**(-30))**(-3) assuming g is positive.\nAnswer: g**(-3396\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 13 (b) -5 (c) 876\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (107599\/5)\/(30\/150) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0\/((g*g*g*g*g\/(g\/(g*g**11)*g)*g)\/g) assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6768266 nanoseconds to milliseconds.\nAnswer: 0.0000006768266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*c**3\/3 - 13600*c**2\/3 + 8*c\/3 + 2176\/3 = 0. Calculate c.\nAnswer: -272, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 * -5965\nAnswer: 2326.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -862 divided by -3.\nAnswer: 862\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 8 = -6, 5*s = -2*r + 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-623463)\/33 - 16\/88) + -7. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 12012315852*t**3 + 11993712120*t**2 - 18596529*t + 7203 = 0.\nAnswer: -1, 49\/63278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3381 rounded to two dps?\nAnswer: -10.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1792296215?\nAnswer: 5, 358459243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-h - h + 0*h) + (-3 + 4 - 2)*(h - h + 3*h)*(2 + 1 - 4) - h - h + 4*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*p - 15, 0 = -2*p - 2*s - 6. Suppose -4*l + 9*l - 55 = p. What is the remainder when 43 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 3.01\nAnswer: 0.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*m\/(m**(-9)*m)*(((m**5\/m*m)\/m*m)\/m)\/(m*m\/m**(-4\/7)))\/((m*m*m**(2\/3)*m*m)\/(m**(-3\/2)\/m))**9 assuming m is positive.\nAnswer: m**(-855\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 16. Suppose 0*l - 45 = -5*l. Let b be r(l). Suppose 6*d + b = 31. Solve d*h - 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852977 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 265, 0, 3\/2, -3\/2, -463\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 61249*l**5\/60 + 3*l**4\/8 - 10*l**3\/3 + 22*l**2. Let o be u(4). Round o to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooiooooioiiio. What is prob of picking 3 i?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2 - 3 = 5*d, 0 = 4*d - 2*w + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*y + 79 - 7. Let g(d) = -3*d + d**2 - 8*d + y*d - 1 + 7*d. Let n(h) = -h**2. Calculate g(j) + 3*n(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 54\/5 of a microgram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 7*w. What is the smallest common multiple of x(3) and (-15 - 660\/(-50))\/(6\/(-10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*g - 3*g. Let p be 427200\/(-36)*g\/(-2)*15. What is p rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 10, x: 3, k: 5}. What is prob of picking 3 k and 1 e?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9117, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6)*-3*-195. Suppose 5*w - 370 = o. Suppose 3*i - 166 = w. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 21)*(-1)\/(-2). Let m be ((-885)\/(-75))\/(2\/10). Let c = m - 57. Solve c*s - b = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1081589*k**2*r - 11374*k*r - 104*k + 2*r - 2 wrt k.\nAnswer: -2163178*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2111948 or 1\/4?\nAnswer: -2111948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8))**(-26) assuming n is positive.\nAnswer: n**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14870*w - 12783*w**5 - 8*w**3 + 31*w**3 + 1287*w**5 - 23*w**3 wrt w?\nAnswer: -229920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*a**3*t**2 - 193*a**3*t - a**2 + 14447*a*t**2 - 1871*a*t - a + 2*t**2 wrt t?\nAnswer: -40*a**3 + 28894*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 5*o + 1. Let z be t(-2). Let v be -4 + 4\/8*4\/(-2). Let h be -1 + 0\/z - v. Solve -m + 4*r - 6*r - 1 = 0, 5*m + h*r - 13 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -8.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 1, c: 2, b: 1}. What is prob of picking 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 - 2*z**3)*(0*z + 0*z + 2*z) + (2*z**2 + 2*z**2 + 0*z**2)*(0*z**2 - z**2 + 3*z**2) as u*z + i*z**4 + y + o*z**2 + a*z**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 4335 and 4189 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/10 + 5\/(30\/9). Solve v*g + 9 = -7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.575522 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -16*g - 7 - 13 + 0*g + 5*g**2 + 16*g**2. Let x be n(16). Suppose x = 5*w - 1705. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203874756 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27318 + -12037. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 31*c - 58. Let n(v) = 7*v**2 + 124*v + 212. Give -22*l(p) - 6*n(p).\nAnswer: 2*p**2 - 62*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5770*f + 2866*f - 4*f**4 + 3*f**3 + 7*f**4 + 2877*f - 27*f**2.\nAnswer: 3*f*(f - 3)*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054041?\nAnswer: 3, 17, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 - 220. Let s = -108.99965 - b. Round s to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -528*i + 533*i - 20, 9*q - 4*i = -16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1359 and 22779.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14\/(-63)*(-27)\/20)\/(12\/(-5)) and ((-273)\/(-4))\/(-13) - 1*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1.9. Let y = 1.5 - 1.3. Let a = 0.1 + y. Sort 0.2, t, a.\nAnswer: t, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 35 - 1. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**3 + 3*a**3 - 18*a**3 + (2*a**2 + 0*a**2 - 4*a**2)*(2*a + a - 4*a) + 0*a**3 - a**3 - 3*a**3 to p + d*a**3 + j*a + c*a**2 and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**2 - 34*x - 47. Calculate g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**26*w*w)**(-2\/47) assuming w is positive.\nAnswer: w**(-62\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.08 (b) -0.1 (c) 3\/2 (d) -4878\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -377804 divided by 2884?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {a: 4, h: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1516 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4048, 2\/3, -1, 8, 1\/2 in descending order.\nAnswer: 8, 2\/3, 1\/2, -1, -4048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 113. Let u = d + 64. Let f(x) = -2*x + 6. Calculate the smallest common multiple of u and f(-10).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from blzol?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 + -8 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655229154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*m = -m - 424, 5*m = 2*z - 200. Suppose 4*f = -12, -z = -5*k - f + 212. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 6*b + 2*b. Suppose -4*i - 9*a = -14*a + 7, -4*i + 3*a - 1 = b. Solve u = 4*o + 8, 0 = 2*o + u + i*u - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 345 - 135?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 + 13*f**2 + 9*f - 8*f**2 - f**3 + 2 - 4 - 16*f**2. What is z(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 - (-5 + 2)) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 23.9. Put -0.5, -1, -1\/3, k in ascending order.\nAnswer: -1, -0.5, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12 + 17*(8 + 1032). What is the greatest common divisor of o and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227582748?\nAnswer: 2, 3, 179, 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/1173*2\/((-8)\/3)*4.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, 46, 2, -2, -285 in ascending order.\nAnswer: -285, -14, -3, -2, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 50 - -43 - -58?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 32*r**2 + 294*r + 10077. Let v be d(-31). Let c = 8 + -5. Solve 0 = c*m - v - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4924124\/185 - 26617. Find the common denominator of q and 1\/407.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36220, 73368, 110516, 147664?\n\"Answer: 37148*q - 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - s - 25 = 0, -10*s - 20 = -4*h - 11*s. Suppose -4*f + 3*o = -734, -h*f + 4*o - 555 = -1472. Suppose -4*m = -95 - f. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = -5. What is the tens digit of (d\/(15\/(-69)))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -10544370\nAnswer: 1\/3514790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/15 - ((-160)\/75 + 2). Suppose 0 = 5*i - m - 52, y = -5*i + 3*i + m + 22. Calculate the remainder when 44 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1402 + -3.1402. What is the closest to 1\/2 in 9, -5, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 115.39203 months?\nAnswer: 0.0096160025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -595 - -599. Determine n so that 6 - g*n + 2\/3*n**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 + i**2 + i + 3. Let t(k) = 16*k**3 - 6*k**2 - 5*k - 16. Let c(s) = -22*p(s) - 4*t(s). Let y(x) = -x - 8. Let n be y(-6). What is c(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -859 - -1265. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from baabbju?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -681 + 682. Let w = 251 + -3763\/15. Which is the closest to o? (a) 2\/3 (b) 20\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 8 + 8.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 25 - 23 + 3 + 8*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) -0.1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h**2)\/h)\/h)\/h)\/h)**21*h**9\/((h\/h**(-2))\/h) assuming h is positive.\nAnswer: h**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-1485))\/((-6)\/18)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6884*i - 50 - 2*i**2 + 204 - 49 - 60 - 54.\nAnswer: -2*i**2 - 6884*i - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) 3 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 2 = -3*i. Let u(m) = m - 9. Let z be u(i). Let v be (4\/(-36))\/(2\/(-2)). Which is the closest to z? (a) -2 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 19. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:13 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 6*x + 1. Let w be p(7). Suppose -2*c + w*c = 24. Suppose -2*q - c*o - o = -355, -4*q = -2*o - 674. What are the prime factors of q?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 217*b + 28 = -426*b + 213*b, 64*b - 1105 = -28*k + 59*b for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633545.\nAnswer: 5, 11, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*x**3 - 1237 - 20*x - 66*x**3 + 19*x.\nAnswer: 7*x**3 - x - 1237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419780885?\nAnswer: 5, 227, 369851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 6. Let p be m\/(-3*5\/30). Solve -3*g + u + 9 = -3, p = g - 3*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.9 + 17. Let c = 24.69888 + -25.6. Let f = z - c. Round f to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*y - 48. Suppose -3*o - y = -3*q, -3*q + 32 = -2*o - 1. What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35304 + 35330. What is the highest common factor of h and 33345?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 27306 (base 11) to base 13\nAnswer: 14977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108*o**5 + 19194*o**3 + 537*o**2 - 208*o + 5 wrt o.\nAnswer: 6480*o**2 + 115164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(2\/5)))\/r**3*(((r\/(r\/(r*(r\/(r\/r**7))\/r)))\/r)\/r)\/r**7)\/((r**(-6)\/r)\/r*r**(-2\/11))**(3\/4) assuming r is positive.\nAnswer: r**(169\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-103348271)\/(-10) - (-10)\/(-10). Let q = g - 10345965. Let z = q - -11151. Calculate the common denominator of -73\/6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 4081*f - 40928. Give u(-10).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*c*f**3 + 35*c*f*p**2 - 2*c*p**2 + f**3*p**2 wrt p?\nAnswer: 70*c*f*p - 4*c*p + 2*f**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**4 - 5*x**4 + x**4 + (3*x - 2*x + 0*x)*(-x**2 + x**2 + 2*x**3) + x**4 + x**3 - x**3 - 3*x**4 - 28*x**3 + 28*x**3.\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*o - 131 = -818 - 73 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-109*d + 118*d - 17 + 18)*(3*d - 3*d - 4*d**4).\nAnswer: 36*d**5 + 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/3*(-28)\/(-448)*48?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7514778 and 2148?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.4, -14441, -0.3.\nAnswer: -14441, -0.5, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 221\/6 in 8, -1162, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202203 = 13*t - 4*k + 3*k, 0 = 5*k + 5. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -3\/1443542 (c) 2\/13 (d) 2\/11 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - -13 - ((0 - 2) + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2837 = -2*p + 3*b, 6*b = -p + 4*b + 1422. Suppose 8*x + 8 = 4*x. Is p\/9 + x\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 5 (b) -4 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 10. Let k = -10 - t. Let g(d) = -k*d + 8 + 5*d - 7*d + 2*d. What is g(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 4*d**2 - 2*d - 3. Let k be x(-4). Suppose k*i - 38 = 3*i. Which is smaller: 20 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12\/j**(-9))\/(j*j**(1\/5)*j**(-15)) assuming j is positive.\nAnswer: j**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281547 is divided by 31282?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63411.6 millilitres in litres?\nAnswer: 63.4116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 2}. What is prob of sequence non?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/(o\/(o*(o\/((o**(-1)*o)\/o*o))\/o)))**33\/(o**3*o**(-1\/5)*((o**(-1)*o)\/o)**(-2\/39)) assuming o is positive.\nAnswer: o**(-19861\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 13 + 7*l + 10.\nAnswer: 4*l + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4854 - 2753 = 1773*j + 22534 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeggguueguguegggg. What is prob of picking 1 u and 1 e?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + 4*o**3 + 2*o**3 + (o + o + 0*o)*(o**2 - 2*o**2 + 2*o**2) + 2*o**3 - 1 + 1 + 20*o**2 - 18*o**2 - 196*o**3 + 195*o**3 - 3.\nAnswer: 11*o**3 + 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1034 and 1128.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4671 and 270.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -6. Let a = -225 - -226. Which is greater: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*b - 7*b**2 + 9*b + 15*b + 16*b + 2 + 0 to r*b + k*b**2 + o and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:49 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 13. Let y(m) = -2*m**2 + 18*m - 3. Let n be y(9). Put n, -2, -4, a in descending order.\nAnswer: a, -2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -611*b - 93302. Calculate h(-152).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -346782\/2147 smaller than -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/63? (a) -1 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 294 + 512. Suppose 0 = 3*t - 4*t - 2*o + d, 5*t - 3975 = o. List the prime factors of t\/10 + 26\/(-10) + 2.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57455 + 5.\nAnswer: -57450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -780, -1166, -1616, -2124, -2684, -3290, -3936?\nAnswer: -4616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 65. Let x(h) be the third derivative of 0*h**v + 0*h**3 - h**2 + 0*h + 0 + 0*h**4 + 0*h**6 - 1\/735*h**7. Factor x(o).\nAnswer: -2*o**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(700) + 1 - sqrt(700)) + 1*sqrt(700) + 2)**2 + 6*(-1 + sqrt(700) + -1).\nAnswer: 80*sqrt(7) + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1240613?\nAnswer: 496245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*p**3 - 2*p**2 + 19*p**3 - 8*p**3)*(3*p**2 - 2*p**2 - 3*p**2).\nAnswer: -54*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 730 divide 66103959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 6*o**2 + 8*o - 1. Let w be s(4). Let x(y) = -9*y. Calculate x(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + (7 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/122862 and 7\/6?\nAnswer: 122862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162 - 267. Let m = -153 - g. Which is the third smallest value? (a) m (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 11*m = 7*m + 26, -2*i + m + 0*m = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-121)\/((-33880)\/490).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*n**2 + 37*n - 37*n + 322*n**2 - 2069*n**3 wrt n?\nAnswer: -12414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42199 divided by 7983?\nAnswer: 42199\/7983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -22*q + 858. Suppose -2*t = -q - 72. Let n = t + -138. Solve -5*w + 33 = 2*g - 0*g, -5*w = 4*g - n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 0 - 85048*m**3 - 13702*m**3 + m**2 - 2 + m. Suppose -9 = 5*v + 1. Let w be n(v). What is w rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1463, 3, 1, 73, -10 in descending order.\nAnswer: 73, 3, 1, -10, -1463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p + 473 - 576 = 889 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 285594 plus 46?\nAnswer: 285640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*j - 118*j = 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1298108, -1298111, -1298114?\n\"Answer: -3*v - 1298105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 548*d. Let m(w) = -5*w. Determine m(l(u)).\nAnswer: -2740*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/(m*m\/m**(-4))*(m\/m**(-7))\/m*m**(-3))\/(m**5*m*m*(m\/m**0)\/m*m*m**(-5)*m*m**(-4\/3)) assuming m is positive.\nAnswer: m**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 22*s - 156\/7.\nAnswer: 2*(s - 1)*(s + 78)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 856616023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 2*q - q + (1 - 3 + 1)*(-q + 6*q - 3*q) - 34*q + 16 - 16)*(1351 + 124*q - 1351) to the form m*q**2 + f + h*q and give m.\nAnswer: -4588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-88 - -45) + 74?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2670 by -9.\nAnswer: -890\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 79 + 83 = 0. Suppose -113 = -7*o + 3*o + y, 5*o - u*y - 145 = 0. Calculate the remainder when o is divided by 2\/(2 - (-24)\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010110001100111 (base 2) to base 8.\nAnswer: -226147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - 2) + 57 + -95?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 302 + -295. Let a(l) = -l**2 - 4*l. Let w be a(-5). Let b = j + w. Calculate the smallest common multiple of 5 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from vuivmmw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102617*d**3*n**3 + 2*d**2*n**3 + 2*d**2 - d*n**3 - 14*d*n wrt d.\nAnswer: -615702*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60564617953034.68 + -60564583814669.90100209. Let o = t - 34138365. Let p = -0.221 - o. Round p to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -16. Suppose -q*z + 3*z = -25. Solve 3*t - 8*t + z = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*k + 26 = 0, -4*p - 52*k + 47*k - 40 = 0. Let a(y) = -3*y**2 + 4*y + 6. Let g(x) = 3*x**2 - 5*x - 7. What is p*g(s) - 6*a(s)?\nAnswer: 3*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55.96 + -57. Let j = 0.04 + q. Which is the closest to 1? (a) -0.4 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-6))\/((-1)\/6). What are the prime factors of (1786\/(-19))\/(a - 3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192751.3mg to tonnes.\nAnswer: 0.0001927513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s. Let o(i) = 58*i**2. Give c(o(k)).\nAnswer: 754*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30162 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 186*w - 185*w - 7. Let b(a) = -9*a + 15. Let o(t) = 3*t + t + 60 - 68 + t. Give w*o(i) + 4*b(i).\nAnswer: -i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftqf when four letters picked without replacement from {q: 1, f: 2, b: 1, t: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 350964681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6312 - 2541 + 2938 - 2*t - 3833 to b*t + z and give z.\nAnswer: -9748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:38 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 14a?\nAnswer: -14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 238890*i**3 - 4548062079*i**2 + 8267210329740*i - 3592884758936268.\nAnswer: -3*(i - 851)**2*(i + 40666)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 55 = -h - 4*l, -h - 3*l = -13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 521, 523, 525, 527, 529?\n\"Answer: 2*v + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (72\/40)\/(6\/20). Let f(n) = -n**3 - 6*n**2 + 5*n - 9. Let g be f(-7). Find the third derivative of 4*m**6 + 0*m**y - g*m**6 - 3*m**2 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2689*m + 40728 = 344*m - 114042 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 9 + 3. Suppose 3*q + 2*f - 18 = 3*f, -v*q = -2*f - 22. Which is bigger: 8 or q?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 4:07 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21138185 divided by 2?\nAnswer: 21138185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-186)\/(-15)*(-885)\/354\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(3\/1)*(-7)\/((-126)\/(-12))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14338, 28688, 43048, 57418, 71798, 86188?\n\"Answer: 5*o**2 + 14335*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/14, 16\/43, -2\/13?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4176 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 81.49. Let u = q - -0.31. Let j = 0.338 + 2.662. What is the third biggest value in u, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346663 (base 7) to base 9.\nAnswer: 104557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 1. Let s = 53 - 53. Give h(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/16 and 7\/358.\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2. Let w(m) be the third derivative of 1\/30*m**5 + 0*m**4 + 9*m**2 + 0*m**3 + 0 + 0*m. Give w(o(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:53 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uutuuotputtppottutu. Give prob of picking 2 t.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let l = 441 - 2207\/5. What is the closest to l in 2\/11, s, 3\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g - 2. Let b = 4 - 1. Let v be f(b). Let r be 1 - (-4 - 117\/(-5)) - 18\/(-45). Is v greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292572 and 5117.\nAnswer: 4973724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/52)\/(16800\/(-3120))*2\/18.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 150 = -32*m. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 26. Suppose 174452 = -p*i - s - 198251, 3*i + 223625 = s. Let x = i + 143541. What is x rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 3*z + 14, 3*g + z - 3*z = 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -338, 2\/3, 72, 2\/13?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 9) to base 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*w = 2*f + 54, -2*w + 8 = 0. Let q = f - -28. Let u = q - -19. Solve 2 = s - g - g, 4*s - 3*g - u = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4288769589 to the power of 1\/2, to the nearest integer?\nAnswer: 65489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 292? (a) -2\/3 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15700000 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 344360986 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 565\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 f when four letters picked without replacement from tyffajuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*q**3 - 477*q.\nAnswer: -1302*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136861\/2 - -68431. Let t be 1 + (-2 - -3) - 0. Which is the third smallest value? (a) j (b) -2\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2\/7.\nAnswer: -4, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(418)\/(sqrt(110)\/sqrt(10)))\/(sqrt(20)\/(-1*sqrt(10)))*3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -53. Let r(z) = -z - 18. Calculate the smallest common multiple of r(-20) and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9132517 - -6?\nAnswer: 9132523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -226*s + 29. Let l be x(-1). Let h = l - -604. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210001102212 (base 3) to base 13.\nAnswer: 116804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -66, -176, -352, -600?\n\"Answer: -c**3 - 24*c**2 + 29*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/120 and (35\/(-56) - -1)*194\/90.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 3*b**3 + 42 + 7.\nAnswer: -3*b**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 7*r + 1. Let m be j(-7). Let t(l) be the first derivative of m - 7\/2*l**2 - l. What is the first derivative of t(y) wrt y?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by 49?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 144*p**2. Let o(z) be the second derivative of z**3\/3 + 124*z. What is v(o(d))?\nAnswer: 576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(-2*sqrt(11)))\/((sqrt(4)*-1)\/sqrt(2)) + ((3 + sqrt(891) + 5)*6)**2.\nAnswer: 10369*sqrt(11)\/2 + 34380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-11)\/143)\/((-2)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/343 bigger than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 8*j + 31. Suppose 84 = 5*v + 24. Suppose 4*t - 2*a + 24 = -v, -a = 0. What is the units digit of k(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1806 and 1346158?\nAnswer: 28269318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*l - 759, -3*n + 73*l = 72*l - 1132. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.16, 0, 2, -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-169*b + 169*b - 30*b**2)*(-5*b**3 + 2*b**3 - b**3) + (-52*b - 5*b**3 + 52*b)*(-2*b**2 + 0*b**2 + 3*b**2).\nAnswer: 115*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 865847777 to the power of 1\/2, to the nearest integer?\nAnswer: 29425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**3*w - k**3 + 15*k**2 + 21558*k*w wrt k.\nAnswer: -30*k*w - 6*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*w - 27, w = 10*g - 6*g + 12. Let o(p) = -w - 9 - 8 - 15*p - 29*p. What are the prime factors of o(-3)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -42.76. Let b = -0.201799 + -0.038256. Let d = b + n. What is d rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 10. Let s be 3*3\/9 + 2\/1. Put a, s, 0 in descending order.\nAnswer: a, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -391*b*x + 3683*b + 5631028*x wrt b.\nAnswer: -391*x + 3683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - f + 122 = -3*p, -5*p + f = -586. Let x = 248 - p. Suppose 9*g - x = 4*g. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**5\/140 - 5*d**4\/14 + 50*d**3\/7 - 14*d**2 - 28. Let u(m) be the second derivative of n(m). Solve u(s) = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -3, 4 in increasing order.\nAnswer: -16, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1284*j - 28988. Calculate m(23).\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) -1\/7 (c) -0.2 (d) 4 (e) -3688 (f) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*i - 17*i - 162. What is the remainder when i is divided by (-36)\/(-6 - -3) + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 8463960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -100*i + 38. Let g(d) = 200*d - 89. Give -3*g(y) - 7*r(y).\nAnswer: 100*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -23*g + 7 + 10. Solve 9*i - 4*z + 32 = 4*i, 3*z - g = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 17. Solve -2*h + b*h = -10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106bcb (base 14) to base 7\nAnswer: -4505544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-90)\/24 - 2\/8. Let a = 2.2 + -1.7. Let y = a - 1. What is the third biggest value in 3, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (-150 - -187) - 9.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 24. Let x = b - 13. Suppose -4*r + 2 = -6*r, -5*m = 2*r - 18. What is the second biggest value in x, 1\/7, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*f = 3*z + 197, -3*z - f - 193 = 0. Let b = z - -64. Solve b*u + 2*u = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*w + 5*h, 8 = -5*w + 4*w - 3*h. Let t be (-4)\/(-10) - (-17)\/(-5). Let r be 2\/3 - w\/t. Are 3 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7966158l?\nAnswer: 796.6158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-21 - -43) - -12) + 16 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/12)\/(n\/(n**28*n*n)) assuming n is positive.\nAnswer: n**(343\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 13*j**2 - 19*j + 102. Let c be x(12). Solve 2*a + 5*r + 14 = 0, 4*r = -4*a - r - c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 24915*p = -24914*p + 11, 4*z - p - 35 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*b - 25 = 0, 42*m + 16*b + 5 = 41*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2. Let y(b) = -37*b + 24. Let f(p) = 15*p - 11. Let o(k) = -7*f(k) - 3*y(k). Give -2*o(c) - 6*r(c).\nAnswer: -12*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*(sqrt(112) + -1) - (0 + sqrt(112) + sqrt(112) + sqrt(112) + -3 + sqrt(112))) + 1*(-5*(sqrt(112) + sqrt(112) + 1) + 2*(1 + sqrt(112))))**2.\nAnswer: 112*sqrt(7) + 5492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 576*o + o**2 + 576*o.\nAnswer: o**2 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 486 - 129?\nAnswer: 35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 31*m - 248. Let x be z(8). Sort 11, x, -2, -1 in descending order.\nAnswer: 11, x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 4. Let x(p) = p**3 - 2*p**2 + 3*p - 2. Let m = 46 - 45. Let j be x(m). Let n be z(j). Solve -4*h = -9*h + n*b - 45, 2*h + 15 = b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4355 + 4354. Let w = 0.48 + 0.02. Which is the closest to 1\/26? (a) w (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.88757 - -1.871. Round j to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*q + i + 27, 3*q - 5*i - 39 = 0. Let p = q - 10. Suppose -402*k - 360 = -387*k. Sort k, -5, p in decreasing order.\nAnswer: p, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) - (-18)\/(-15)*-2. What is the tens digit of 30 - (-1 - o\/4*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 t, and 1 o when three letters picked without replacement from oddt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 3*y**2 + 5*y + 4. What is f(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/64605 and -62\/9.\nAnswer: 193815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g - g - 7*g)*(-g**2 + 4 - 4 + (g - 2*g - g)*(g + 0*g - 2*g) + g**2 + 1 - 1 + (-5*g**2 + 4*g**2 - g**2)*(3 + 3 - 5) + 2*g**2 + 0*g**2 - g**2).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g**2 - 7*g - 10. Calculate i(-4).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 1944?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*l + 599*l = 441. What is the highest common divisor of 2 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = -4*r - 10, 2*r + 6 = 0. Suppose -197 = -22*h - 43. Suppose -5*s = -3*x + 440, w*x + 780 = h*x + s. List the prime factors of x.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.113 + 0.887. What is the third biggest value in -0.2, -4, u, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119746*o**3 + 2*o**2 + 2*o - 3383.\nAnswer: -718476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccectccccccc. What is prob of sequence ccte?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 4*k**3 + 4*k**3 + 13*k**2 + 6*k**2 - 18*k**2 + 5*k**2.\nAnswer: 6*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-8))\/t*t*t*t**(-3\/11)*t\/(t*t*t*t*t**(-1\/12)*t*t*t)*t*t**(-1\/4)\/t)**(-8\/11) assuming t is positive.\nAnswer: t**(3284\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 1. Let o(w) = w**2 + 4*w - 4. Let s(u) = -4*b(u) - o(u). Let v(p) = 5*p**3 + 8*p**2 - 40*p - 60. Let q(z) = 3*s(z) + v(z). Factor q(y).\nAnswer: 5*(y - 3)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1054414*o + 888795.\nAnswer: 1054414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4290*f + 2621*f - 5*f**3 - 1.\nAnswer: -5*f**3 - 1669*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15\/166 + 2725\/1992. What is the common denominator of (-14 + 0)*26\/72 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 + 2*g**2 + 3*g - 20. Let f(z) = -5*z**3 + 4*z**2 + 5*z - 41. Give 4*f(q) - 7*o(q).\nAnswer: q**3 + 2*q**2 - q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 235950 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x + 29. Let j be q(5). Suppose 0*o - 34 = -o + j*p, p + 80 = 3*o. Solve 2*t + o = -5*h, 0*h = 3*h - 3*t + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -2214?\nAnswer: -132.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11163, -11122, -11059, -10980, -10891?\n\"Answer: -q**3 + 17*q**2 - 3*q - 11176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334 times -0.1?\nAnswer: 133.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/(1 - 64\/68). Let b = a - -432. Does 8 divide (b - 5)*(1 + 4\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787 - 33 = -9*u - 10. Put -2, 2, 3, u, 5 in descending order.\nAnswer: u, 5, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i**2 - 4*i + 1. Let x(o) = o**3 + 5*o**2 - 5*o + 8. Let w be x(-6). Let h be 0 + w + 1 + 3. Let u be ((-4)\/h)\/(2\/9). What is p(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**3 + 5*j**3 - 2*j**2 + 0*j**2 + j**2.\nAnswer: 16*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2\/12*-1. Let j = -236225\/2 - -118112. What is the fourth smallest value in -27\/10, -5, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00060323076 to 6 decimal places.\nAnswer: 0.000603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q**2 - 25*q**2 - 2 - 5*q + 0 + 7*q**2 + 6*q**2. Calculate a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14.9, 1, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-156)\/117)\/(16\/(-202380))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toecaxtotxaeoo. Give prob of sequence aeac.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 242.05 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 5:13 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 12) to base 3.\nAnswer: -102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6838*a + 1628*a + 3596*a + 1617*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -15*f + 57. What is u(8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11583 and 124696.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36c - 1?\nAnswer: -36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*b**2 - 780*b - 140.\nAnswer: -5*(b + 14)*(11*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**5 - 6*d**2 - 9*d - 1. Let p(l) = l**5 + l - 1. Let b(u) = a(u) + 6*p(u). Find the second derivative of b(t) wrt t.\nAnswer: 40*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4386 + -2589. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 71037791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39090 greater than 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 93437.08 litres in millilitres?\nAnswer: 93437080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3526, 3517, 3510, 3505?\n\"Answer: t**2 - 12*t + 3537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-387)\/258*3\/((-108)\/8)*4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0215 take away 0.3?\nAnswer: -0.3215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**3\/6 + 5*x**2\/2 + 6*x. Determine r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12917083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2502\/(-1529)*(-1)\/3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 + -1)\/((-34)\/40 - ((-10494)\/265 + 40)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**6\/40 + 2*r**5\/15 - r**4\/8 + 23*r**2 + 48. Let p(b) be the second derivative of q(b). Factor p(m).\nAnswer: m*(m + 3)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3323)\/(-25) + (-8)\/(-100). Let o = h - 123. What is the remainder when 35 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55954324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 77, 121, 167, 215, 265, 317?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 34 - 10. Let a = r + 14. Suppose -3*z - x + 26 = 0, -a*x - 8 = z - 6*x. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74175 from -125790.3783.\nAnswer: -199965.3783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzrr when four letters picked without replacement from {r: 9, z: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1073\/26 + -939\/13. Let z = 125 + q. Let s = -11 + z. Which is the second smallest value? (a) -1\/4 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22960180.\nAnswer: 2, 5, 163, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 41130013?\nAnswer: 41130003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2181092 and 15236.\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/40)\/((-3)\/(-1605)). List the prime factors of ((-4)\/(-10) + v\/(-80))*48.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21\/2 + 10. Let m = -140\/741 + 2\/57. Which is the third biggest value? (a) z (b) 2 (c) m (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11232.10578 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(60\/(-25))\/4. Let w be (-40)\/12 - (-400)\/300. Which is the nearest to w? (a) 4 (b) j (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = 0, 0 = 5*p + 24*m - 22*m - 2509. Calculate the remainder when 1543 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51355460 + -26?\nAnswer: 51355431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -85*g - 2906. Calculate the remainder when 463 is divided by u(-35).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2304 and 59520?\nAnswer: 357120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 0*(6 - 4)\/2. Solve -5*i - 16 = 4*o, -b*i + o + 4 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98477, 98462, 98437, 98402, 98357, 98302, 98237?\nAnswer: 98162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4150635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3367663?\nAnswer: 13, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 5*q. Let y be u(-5). Let b(f) = y*f + 3*f + 1 - 1. Let n(s) = 7*s**2 + 0*s**2 - 6*s**2 - 4*s**2. Calculate b(n(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16248, 130264, 439834, 1042734, 2036740, 3519628, 5589174?\nAnswer: 8343154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*j + b = -71*j + 13, 2 = j - b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2)*-4 + -3 + sqrt(2) + sqrt(8))**2.\nAnswer: 8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = b. Let i(q) = q**2 - 3*q + 3. Let t be i(b). Solve v + 5 = 3*a, -3*v - t = -4*a + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*n - 110, 5*k - 2*n - n = 102. Let m = k + -7. Suppose m*d = 9*d + 4. Solve 5 = -d*x - 4*p + 21, 2*p = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 4:30 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = s - 1097, -11*s - 211 = -k - 14*s. Calculate the greatest common divisor of 88 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*y + 15. Suppose 13 - 58 = -y*b. Solve 5*u - p - 3 = 0, 5*u - u - 5*p = b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-225))\/((36\/100)\/(60\/1000*-5))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -2, 5, 2.\nAnswer: -2, 2, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*s + 9, 3*s + b + 11 = 22. Let n be 2\/(-9) + (-75)\/27. Let j be 2\/n + 10\/6. Is j less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, 475, 987?\n\"Answer: 512*r - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/(-40))\/(4\/(-1030)). Let c = f + -204. Sort -5, 33, c in ascending order.\nAnswer: -5, c, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/14*2714\/(-3894)\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/16*8\/(-102).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67116?\nAnswer: 2, 3, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3628.53 and 3.7?\nAnswer: -13425.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100834309\/540 - 186730. Calculate the common denominator of 79\/22 and t.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161 - 128. Let o = 361.72 + -395.1. Let z = o + r. Round z to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -29973558936?\nAnswer: 29973558935.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22013 (base 6) to base 10.\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1434317 bigger than -1434317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, 5 in descending order.\nAnswer: 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Let l(t) be the second derivative of 3971*t**4\/12 - 3726*t. Give d(l(o)).\nAnswer: -15768841*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 322\/630 - (-1)\/(-9). What is the closest to s in -0.5, -8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 0*c**3 + 0*c**3 + (6 - 2 - 2)*(2 + 2*c - 2)*(26*c + 5*c**2 - 26*c) + 4*c**3 + 4*c**3 - 4*c**3 to the form j + n*c + v*c**3 + u*c**2 and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 88351.57\nAnswer: 353406.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25254186 (base 9) to base 5\nAnswer: -11132031441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 593863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2403068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -1.2, -2, -1\/8, -1\/5, 128?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.089 + -0.489. What is the closest to 3 in o, 3\/4, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 11 - 9) + -8 + -2 + -11.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.0655 times -628?\nAnswer: 16997.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4145, 6, -840.\nAnswer: -4145, -840, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*i, 4*i + 0*i - 8 = 4*f. Solve f + 2 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549905720 to the power of 1\/3, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 + (10\/(-12))\/(880\/(-26400)) - (10 - 1)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 260\/3 - 86. Let i = 3.1 + -6.1. Let t = 2\/149 - -737\/596. What is the closest to k in 0.5, t, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*h - 18 = 0, 2*h + 0*h + 5 = 5*o. Let z = 31 + o. Calculate the remainder when 87 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2) + (sqrt(2) + (sqrt(2) - sqrt(8)\/sqrt(4)))**2*6)*-1.\nAnswer: -7 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*r - 353, 3*r - o - 3*o = 343. Suppose 4*p - 5*n = 172, 3*p + 2*n = 12 + r. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8921598.99255244 - 20714.00743456. Let i = l + 8942333. Let g = i + -20. Round g to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 9:26 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63693 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*q**2 - 95*q**3 + 63*q**2)*(2*q + q**2 + 3*q + 21*q).\nAnswer: -95*q**5 - 2470*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by 47225.\nAnswer: 39\/9445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-34) + 63431\/2329 + -27. Let h = 8 + -3. Sort y, -5, h, -3 in decreasing order.\nAnswer: h, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15128 - -13.1?\nAnswer: 15141.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/61 + 73\/244. Let p = -0.6 + -2.4. Let z = p + 2.99. Is z less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 33882.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - -1)*24\/10. Suppose -7*x - 45 = -a*x. Solve -x - 25*r + 2 - 13 - 5*r**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 33152?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 6*z + 0 + 4*z - 3*z - 6.\nAnswer: 7*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -27. Let f be 30\/20 + g + -1. Let b be (-4)\/14*49\/63. Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8622.8 - 8623. Let y = 95 - 473\/5. Sort n, y, -3, -7 in increasing order.\nAnswer: -7, -3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j = 4*r + 24, -9374*j - 70 = -9374*j - 5*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x + 2*x + 6 - 3 - 2*x. Let a(d) = d**3 + 20*d**2 - 17*d + 81. Let b be a(-21). Calculate z(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2309, -3767, -5225, -6683, -8141?\nAnswer: -9599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 11:24 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2940 - -7558. Is b - 6\/(-5 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94 + (-12 - 1 - (-40 + (-20 - -50))) + 1.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 2. Let g = p - 7. Let i = g + -14. Calculate the lowest common multiple of 10 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 540 + 163098?\nAnswer: 163628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2124431 (base 8) to base 16.\nAnswer: -8a919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h - 21. Suppose -3*d + 2*g + 4 = -2, 2*g - 18 = -3*d. Let o be c(d). What is the units digit of 3*2*o\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/41100 and -13\/205500.\nAnswer: 205500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/13 (b) 6 (c) 1571 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58, -107, -156, -205?\n\"Answer: -49*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 1, x: 1, g: 1, v: 5}. What is prob of sequence ng?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1445 and 21097?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32042213 (base 5) to base 12.\nAnswer: -10b415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) -2 (b) -232 (c) -5 (d) 2\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 1 = -y. Let n be (y + -3)\/((-15)\/(-3)). Which is smaller: n or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 793 + -764. Differentiate w + 28 - 28 - 9*h with respect to h.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven halves of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 6. Let m be k(-4). Find the second derivative of 0*x + 14*x**4 - 13*x**4 - m*x wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.46 + -2.16. What is the closest to 1 in z, -3\/7, 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-336)*3)\/((726\/48279)\/((-18)\/(-114)))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4379317 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*(s**(-6\/7)\/s)\/s)\/s))\/s)\/s**(-5\/7))**(-18) assuming s is positive.\nAnswer: s**(-450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1970*b + 1469*b - 7392 = 2911*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 477? (a) 1\/4 (b) 3\/4 (c) 0.1266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 254, -8 in decreasing order.\nAnswer: 254, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18\/5 + -16\/5. Let h = -0.33 + -6.67. What is the biggest value in v, 1, 1\/3, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -345.419738 and -1988?\nAnswer: 1642.580262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2404444 by -61.\nAnswer: -2404444\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30 - 13*x + 17*x**4 + 19 + 13*x wrt x?\nAnswer: 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -23*y**2. Let d(c) = -80*c + 60. Let r(j) = -3*j + 2. Let g(s) = -d(s) + 30*r(s). Calculate t(g(w)).\nAnswer: -2300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -101083.959 rounded to the nearest one hundred?\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 39. Suppose 3*j + i*r - 8 = 0, -j + 4*r = -r + 24. Is 14 a factor of (-4 - j) + -3 + 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38.197 - 5\nAnswer: 33.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1232\/12)\/(2940\/(-2205))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1433, 5730, 12889, 22910, 35793, 51538?\nAnswer: 70145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2. Suppose -13*q - 12 = -17*q. Let a(j) = q*j - 3*j + j**2 - 2*j**2. Calculate a(m(p)).\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 21 = -12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1338097901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26\/65)\/(1\/5). Let h = -5 - -7. Suppose 2*d - 5*d - 25 = 5*k, -o*d - 10 = h*k. Round d to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 + -0.19. Which is the closest to 18? (a) -0.1 (b) -5 (c) i (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 - 4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -83. Calculate the remainder when 65 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(-19)*(s**2*s)**(-20\/7) assuming s is positive.\nAnswer: s**(-34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**7\/30 + x**4\/3 - 11*x**2\/2 + 9. Let i(o) be the second derivative of t(o). What is the second derivative of i(v) wrt v?\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, -4, -7 in decreasing order.\nAnswer: 2, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.008, -1\/23, -5, -3?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)*m)**6*(m*m**5*m)\/((m*m\/m**(-1\/3)*m)\/m*m*m))\/((m\/m**(-4\/3)*m)\/m*m**(-4)*m*(m**(-2\/7))**(-2)) assuming m is positive.\nAnswer: m**(100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1753 or 2179?\nAnswer: 1753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8167677 less than 250245?\nAnswer: 250243.1832323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 1, v: 1, y: 3, d: 5}. Give prob of sequence dvmd.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-2\/9))\/t*(t\/t**(-2\/21))\/t*t**(-1\/4)*t**10 assuming t is positive.\nAnswer: t**(2677\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 12*p**2 + 348*p + 720.\nAnswer: -3*(p - 10)*(p + 2)*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610222795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55059, -55065, -55079, -55107, -55155, -55229?\nAnswer: -55335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 156. What is the second derivative of 30*u**2 - 27*u**2 - 15*u + 20*u**2 - h*u**2 wrt u?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 129*s**5 + 0*s**2 + 0*s**2 + 88*s**4 + 8*s**3 + 113*s**5 = 0.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 1\/2 (c) 0.3 (d) -44\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -11. Let p be 2 - k\/(12\/9). Suppose -4*z + 283 = p*n, 0*z - n - 64 = -z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -704 + 1538. Suppose 4*r + a = r. Let q be 4\/20 - r\/10. Calculate the greatest common divisor of 70 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 12) to base 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 5*r**2 - 2*r + 7*r**2 + (r**2 - 1 + 1)*(-3 - 2 + 6).\nAnswer: 14*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + -74 + (-2 - -125)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in -0.4, 2\/25, 1\/7, 0.1, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 - 2600*h + 2535000.\nAnswer: 2*(h - 1950)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-18))\/(4\/6). Is ((-1985)\/10)\/((-1)\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -148. What is the remainder when 160 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4 - 3*q - q**3 - q**2 - 4*q + 7*q**2. Let r = 80 + -76. Does 8 divide a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 444441 and 210?\nAnswer: 31110870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2483 + -2468. What is the remainder when 1707 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 17*h**2 - 15*h + 16. Let y be t(-16). Solve y = -m + 7 - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**4 + 96286562*c - 128183543?\nAnswer: 4*c**3 + 96286562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 140. Does 35 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**5\/180 + 87*f**4\/4 - 68121*f**3\/2 - 51*f**2 - 15*f. Factor m(j).\nAnswer: -(j - 783)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1867*a**2 + 16*a + 22. Is t(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91069987149+138.4\nAnswer: -91069987010.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(((-8)\/6)\/(-2))\/(80\/(-6384)*38).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30086187 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4327, 8053, 11755, 15433?\nAnswer: 19087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 22350 - 4422 = 0. What is the greatest common factor of i and 2158?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l - 4. Let j(z) = -2*z. Let t(i) = 6*j(i) + y(i). Let m be t(-4). What is the second derivative of 43*v + 8*v**4 - v**4 - 11*v**m - 4*v**4 wrt v?\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18603*t + 18542*t - 183 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-3) - 82\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 9*j + 28. Let z = -3 + 6. Calculate the lowest common multiple of z and c(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 - 10*k - 17. Let w be a(-7). Suppose -9*i + w*i = -1935. Let u = i + -260. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6872893 meters in millimeters?\nAnswer: 687.2893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 2*n + 2*n - 3*f, 5*n + 5*f = -80. Sort -1, -2, n in ascending order.\nAnswer: n, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 55*i - 243. Let b be (5*48)\/6 + -2. Is t(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 32 = 4*x, 2*x + 0*x - 18 = f. Calculate the greatest common factor of 77 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144.635 + 1.365. Which is the third smallest value? (a) -1\/4 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 11879140.\nAnswer: 130670540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0372168646 rounded to five dps?\nAnswer: -0.03722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - -1. Suppose -5*f = -2*k + n + 39, 0 = -k + 5*f + 25. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11433469511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -19*k**3 + 491*k**2 + 103*k - 617. What is p(26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, 4, 78 in decreasing order.\nAnswer: 78, 4, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u*z**4 - 31*u*z**3 + 6268162*u*z - z**4 + 346*z**3 - 2*z**2 + z wrt z.\nAnswer: 24*u*z - 186*u - 24*z + 2076","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 147*p**2 + 418*p + 35947. Give u(-73).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c + 27*c + 5800 = 0. List the prime factors of c.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/2*(-48)\/(-18). Let n = q - 8. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116054 take away 80?\nAnswer: -80.116054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*m + f, -4*m - 2*f = -5*f - 21. Let d be 5\/m + (-3)\/(-9). Suppose -62 = -d*l - 2*j, 6*j = 4*j + 6. What is the greatest common factor of l and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-1.1.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 7*g - 3*g + 5*g. Let q(v) = 15*v. Give q(y(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 9*q**2 + 8*q - 4. Let y be k(10). Is y bigger than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(10\/15*-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*i + 446 - 66 = -107*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.8 + 12. Let o = 1.2 - f. Which is the third smallest value? (a) o (b) -0.07 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -358 - -362. Let j(q) = 4 + 3*q**2 + q**2 + 6*q - 2*q + 3*q**3. Let k(w) = -15*w**3 - 21*w**2 - 21*w - 21. Give x*k(n) + 21*j(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1972282 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (3\/(-9) - (-166)\/3). What is the greatest common factor of f and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*n - 10, 2*n - 40 = 3*l - 3*n. Let g(c) = -5*c. Let f be g(l). Let i = f - 11. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 13 + 13)*(1 + 0 + 0)*(-2 - 2 + 2) to the form c + p*n and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 3.\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/3 - 80*y**3\/3 - 154*y**2\/3 - 76*y\/3 = 0. Calculate y.\nAnswer: -38, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2349 = -4*s. Calculate the common denominator of (s\/24)\/((-30)\/8) and 143\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 6*i + 7. Let p be g(2). Suppose -124 = -5*v - 4. Is (p - 0)*(-6 - v) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(-1*(sqrt(28) - (sqrt(196) - -1*sqrt(196))\/sqrt(7)))\/(sqrt(16)*-2 + (sqrt(112)\/sqrt(4))\/sqrt(7)).\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 4 + 4*b**2 - b + 3*b**3 - 3 + 8 - 7 to q*b**2 + o*b**3 + i + c*b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5415 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 2. Let z be j(6). Let a(k) = 3*k**3 - 6*k**2 + 3*k + 5. Is a(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + (-17 - -2) - (12 + -9).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 6. Let n be l(8). What is the third derivative of 3*c**2 + 0*c**n + 0*c**5 - 2*c**5 + 3*c**5 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 - 0.03. Round s to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -56, -144, -306, -566, -948, -1476, -2174?\n\"Answer: -4*y**3 - y**2 - 7*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 7, 43, 2, 0 in increasing order.\nAnswer: 0, 2, 7, 20, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 120623131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(39)\/sqrt(3) + (sqrt(325)*2 - sqrt(13))**2 + 3 + (sqrt(5616) + sqrt(5616) + (sqrt(5616) - 1*sqrt(5616)) + sqrt(5616))\/(sqrt(96)\/sqrt(2)).\nAnswer: 10*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 - 6704*g**4\/5 - 224984*g**3 - 442196*g**2\/5 + 224986*g + 89780 = 0. Calculate g.\nAnswer: -335, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 1 (c) -266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*d - 25 = 7, 0 = 5*a - 4*d - 36. Let n = 0 + -2. Put n, 9, a, -3 in ascending order.\nAnswer: -3, n, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 607, 611, 615, 619, 623, 627?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16*m - 586. Give x(36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, -3\/4, 1\/83, -0.4?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -50*a**5 - 46*a**4 - 12*a**3 - 8*a + 8. Let r(i) = 17*i**5 + 15*i**4 + 4*i**3 + 3*i - 3. Let b(m) = -3*d(m) - 8*r(m). Find n, given that b(n) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 65 - 45 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2115428\nAnswer: 1\/2115428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7+-4383042\nAnswer: -4383035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -11*c**8\/56 + 5*c**4\/4 - 4*c. What is the third derivative of t(w) wrt w?\nAnswer: -1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790409613 != 790409614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*s = -9372, 26613 - 3197 = 5*r + 4*s. Suppose -c = 5*w - 2348, -3*w + r = -4*c + 14007. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -64 (b) -2\/3 (c) -343 (d) 2\/9 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4193.1 + 4193. Does -8\/55 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 4*m - 3*m)*(172*m + 3 + 3 - 9) to the form q + k*m + v*m**2 and give v.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00655016935 rounded to 6 dps?\nAnswer: -0.00655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*o + 57*o + 57*o - 95*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*h + 19 = 0, 4*h + 7 = -2*i + h. Let c(a) = -1 - 4 + i + 0 + a. Let f be (-2)\/4*-2 - 2. Let y(z) = -3*z + 4. Give f*y(q) - 2*c(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1427?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/2 (b) 4 (c) 100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 51 = -3*z, 2*x + z - 12 = x. Let r = x - 10. Solve -u + 0 - r = -5*j, -3*j + 10 = -2*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4.7. Let j = 271.713 + -271. Let q = j + o. Round q to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -20 + -39 + 64.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 - (-1 - -67) - (-312 + 140 + 163)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 3. Let l(y) = 10*y**2 - 14. Let p(c) = 3*l(c) + 14*o(c). Let h(x) = -10*x. Determine h(p(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 88615600 to the nearest 100000.\nAnswer: 88600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 50, 32, -4, -64, -154?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1805311.368ms?\nAnswer: 0.0029849725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/6 + 43*y**4\/6 + 1145*y**3\/6 + 2065*y**2\/6 - 572*y\/3 - 1054\/3 = 0. Calculate y.\nAnswer: -17, -2, -1, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1886, 1888, 1900, 1928, 1978?\n\"Answer: y**3 - y**2 - 2*y + 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-285 + 285 - 104*v)*(-3 + 1 + 1)*(2*v - v - 2*v) as a + d*v + o*v**2 and give o.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + 0*t)*(1 + 4 + 4)*(9 + 0 + 4).\nAnswer: -234*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d - -28d?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185553.\nAnswer: 3, 53, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 4. Let g(i) = i**2 - 5*i + 1. Let q be g(4). Let l be w(q). Let v(r) = -r**2 + 2. Let h(t) = 2 + t + 2 + 0 - 2*t**2. What is l*v(y) + 2*h(y)?\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i - 1948*i**2 + 8*i - i - 10353*i**3 + 3386*i**3 wrt i?\nAnswer: -41802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*k + 1, -5*k = -k + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + 3 + 2 + -4. Suppose 0 = 5*y + 5 - x. Suppose 0 = -y*m - 5*m. Solve 5 = -h - m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*u - 78 + 168 = 78*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -8 - -7) + -1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*u + 150724 = 1474*u - 136*u for u.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/8)*g)**(-6\/7)\/(g\/(g**(-2\/15)\/g)*g**(-16)*g*g) assuming g is positive.\nAnswer: g**(4579\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 0 - 1\/5*n**2 + 5*n + 7\/60*n**4 + 1\/6*n**3. Factor d(l).\nAnswer: (l + 1)*(7*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:31 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + -1023131?\nAnswer: -1022331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 11:20 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0. Let z = -1.2 + -3.8. What is the closest to 0 in z, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4685, -4690, -4695, -4700, -4705, -4710?\n\"Answer: -5*l - 4680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)*2 + sqrt(34))\/sqrt(2) - (sqrt(17) - sqrt(85)\/sqrt(5)*2).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - 80. Suppose 39 = -4*v + i. Solve -4*a + v*x = 10, a - 12 = 4*x - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 17 + 9)*(-11*i**3 + 3*i**2 - 3*i**2) + i**2 + i**3 - i**2 to the form y*i**3 + x + p*i + k*i**2 and give y.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 + 18*y**3 - 13*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-4 - -4) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 520630\/117 - 91408\/13. Suppose 5*n + 653 = -12292. Let i = n - o. Find the common denominator of -39\/4 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -267. Let c(w) = -w**2 - 32*w - 17. Let v be c(-28). Suppose -4*k + 10 = -2*k, 0 = 5*l - k - v. Calculate the highest common factor of l and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = -5*b + 75, 0 = 5*b - d - 75. Let y = 0 - -2. Suppose -y*s + 11*s = 1215. Calculate the greatest common divisor of s and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 528?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(78))\/sqrt(3) - sqrt(26))\/sqrt(2))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c**2 - c + 4*c - 3 + 16*c**2 + 0*c. Let b(w) = 6*w**2 + 3*w - 2. Calculate 5*b(r) - 4*f(r).\nAnswer: 2*r**2 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 67603561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-116)\/406 - (-30)\/7. Suppose 5*o - 6*o = -3*c + 6, 5*o - 3 = h*c. Solve 0 = 3*g - 5*w + c, -4*w + 3*w = -3*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -2*b, -6*w + 5*b - 13 = -2*w. Solve -4 = -w*o + o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44 - (-13)\/((-78)\/(-36)). Calculate the greatest common divisor of 20 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -965 + 55?\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/13 + 552*j**2\/13 - 4512*j\/13 + 9088\/13 = 0 for j.\nAnswer: -284, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41372?\nAnswer: 2, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/95? (a) 1\/11 (b) 3 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 10*p**2 + 7*p - 2. What is the units digit of s(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 34*o**2 + 70*o - 176. Let f be a(32). Put f, -2, 1, -3, -44 in increasing order.\nAnswer: -44, -3, -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/102 - 191*x**3\/51 - 190*x**2\/17 + 4*x + 165. Find z such that j(z) = 0.\nAnswer: -190, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 8, d: 5, a: 5}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*g - 7296 + 6208 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76) + 0 - sqrt(76) - (sqrt(228) - 1*2*sqrt(228))\/sqrt(12))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((68*s + 34*s - 62*s)*(1 - 1 - 2) - 5*s - 4*s + 25*s)*(-4 + 4 + s) + (2*s + 2 - 2)*(-2 + 2 + 2*s).\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -76, -342, -730, -1234, -1848?\n\"Answer: d**3 - 67*d**2 - 72*d + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**2 + x + 16. What are the prime factors of r(16)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 194*k - 98.\nAnswer: 2*(k + 49)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 3*z**2 - 2*z**2)*(-2*z + 3*z - 14*z) in the form n*z + a*z**2 + h + o*z**3 and give o.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3276\/(-65)*(-24 + -6) and 16?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3147 divided by -570.\nAnswer: 1049\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Let o be y(-5). Let c be ((-2)\/(-4)*0)\/(-2). Suppose -5*l + 1 + 4 = c. Solve l = o*z + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbummuuvmbmvbvmbmbb. Give prob of sequence mb.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 - 4*z**2 + z**2)*(4*z - 2*z + z) + (0 + 3 - 1)*(-1 + 3 - 1)*(-10813*z + 292*z**3 + 10813*z) to s*z**2 + n*z + g*z**3 + k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 4) to base 3.\nAnswer: -100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5752071 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9226b - -23?\nAnswer: -92248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 3290*i - 161997. Calculate h(50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 34 = 2*i, 8*x + 602*i = -78*x + 605*i + 323 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**6\/6 + 7*b**5\/5 - 7*b**4\/2 + 8*b**3\/3 - 63. Factor x(p).\nAnswer: -p**2*(p - 4)*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213339 is divided by 371.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628076 is divided by 9373.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*d*h*k**2 + d*h*k + 174*d*h - 7*d*k**2 + 3*h wrt k.\nAnswer: -98*d*h - 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m + 10. Let u(y) = -1 - 5*y + 4*y - 4*y + 4*y. Let v(s) = -2*n(s) - 18*u(s). What is the first derivative of v(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-3 + 4 - 4)*(0 + 3 - 1)*((3 - 1 - 1)*(2*n - 5*n + n) + 2 - 2 + n - 6*n - 4*n - 3*n)*(1108 - 536 - 463).\nAnswer: -18312*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 143, 531, 1297, 2567, 4467, 7123?\nAnswer: 10661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 5. Let u = p - -6.1. What is u rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4 + 20. Let u = 7 + -13. Let q = g + u. What is the highest common factor of q and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 5 - 4)*(0*t + 5*t + t)*(-3*t**2 + 2*t**2 - t**2) - 17*t**3 - 8 + 8 in the form o*t**2 + j*t + r*t**3 + i and give r.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 2:29 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 1, m: 7, b: 1, i: 2, e: 6}. Give prob of sequence eeim.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 16*s**5 - 941890*s**4 + 117592*s**3 + 8477010*s**2 - 1059624*s = 0.\nAnswer: -3, 0, 1\/8, 3, 58868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o - 1. Let l(c) = -3*c**2 + 523*c + 327. Let n(y) = 9*h(y) - l(y). Factor n(q).\nAnswer: 4*(q - 42)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*o = -7043 + 19741 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 15225.\nAnswer: 167475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17922 + 17958. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211\/31 + 4137\/248. Calculate the common denominator of k and -28\/47.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.001 - -0.18. Let s = d - -19.021. What is s rounded to zero decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:25 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 17*r - 18. Suppose -l = 3*o - 19, r*o + 5 = -3*l + 38. Suppose 0 = -4*i + l*i - 15. Solve 1 = 2*k - i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -2 - (1 - (-4 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccchhcccchcchch. Give prob of picking 2 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/9, 456, -4, 1\/74, 6\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 342\/(-741) - ((-295)\/(-65) - 2). Is 788 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477504 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 346566167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 0, -67, -109, -2, 4?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0238 * 94.\nAnswer: 2.2372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892212 to the power of 1\/2, to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, n: 9, q: 4}. Give prob of sequence qff.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/1510591 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.0013 + 0.0513. Let w = d - -16. Which is the smallest value? (a) w (b) -5 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220375 is divided by 67.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014444032 (base 5) in base 7?\nAnswer: -23633316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {w: 3, c: 3, x: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372\/(-168)*12\/(-56)*-20?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1099935 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + 33)*(-1)\/(-2). Let s be (-6)\/(-42) + (-6)\/d. Is -0.4 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 17*h - 88. Calculate x(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 4*g - 7 = -8*p, 3 = -3*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.0442, -3, 4, -0.274, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74132913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 2)*111\/(-27). Let c = 26\/3 + a. Factor c - 2\/9*d**2 - 2\/9*d.\nAnswer: -2*(d - 1)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uqzq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 + 13*p - 46. What is u(8)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15063 - 10226. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 772236.29759667 + -772628.2976. Let b = -392 - g. What is b rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.84 + 0.16. Let k = w + -6. What is the smallest value in 0.02, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.526 - -3.026. Which is the nearest to 5? (a) s (b) 1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/3 - 30689*y\/3 + 15344\/3 = 0. What is y?\nAnswer: 1\/2, 15344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/63 + 656\/(-1476)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + 7 + -20 + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(108\/(-390) + 1\/5). Let o = 91 + -92. Put o, i, 1 in descending order.\nAnswer: i, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*y - 6 - 13, -2*j + 1 = -y. Let o(s) = 2*s + 3. What is o(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - -89 - (-83 + 9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -31 + (30 - (81 + -71 + 36)) - -14\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 5*d + 9. Is c(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 425 + 410 = -5*c, p - 4*p + 4*c - 33 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**4 + 2*q + q**4 - 6*q**4 + 4*q**3 + 5*q**2.\nAnswer: q*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 11*h**3 + 59*h**3.\nAnswer: 47*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*w, 7 = -22*h + 21*h + 3*w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnqd when four letters picked without replacement from {n: 1, q: 4, c: 2, d: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4200, 4202, 4206, 4212, 4220, 4230?\nAnswer: 4242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 22. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103400.\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 4*h - 3. Let r be u(-4). Find the common denominator of r - 45\/(-12)*14 and 79\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 2*b**2 - 3*b - 4. Suppose 3*x + 34 = 28. Let i be c(x). Solve i*r + 6 = -0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a**3*d**3*m**3 - 2*a**3*d + 47*a**3*m**3 + 307*a*d**3*m**2 - 2*a*d**3*m wrt m?\nAnswer: -54*a**3*d**3 + 282*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7380 divided by -492.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 11*d - 31. Let g be c(14). Suppose g*j - 4*n - 44 = 7*j, -2*j - 8 = 4*n. Is 2\/(-8)*79*(-48)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/18 and (-1)\/3*963\/(-66).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -29*t**6\/4 + t**5\/30 + t**3\/6 - 8*t**2. Is y(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*n = 3*m + 16, 5*n + 10 = 0. Let w be (10\/5)\/(6\/(-21)*1). Let o = m - w. Solve 2*u = -7 + o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 332 - 172 = 0. Suppose -231 = -w*b + 13761. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 + (-102)\/(-18). Let t = r + -1. Suppose 60 = -0*d + 4*d. Calculate the remainder when d is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-16) + -2 + (-1674)\/(-496). Put -11, p, -5 in increasing order.\nAnswer: -11, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.30076 times -4\nAnswer: -1.20304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4 = -4. Let l be x\/3 + 42\/63. Solve 2*r + 3 = l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000000297 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -6. Let s = 2194 + -2192. Suppose s*j = 2*b - 20, 89 - 79 = -b - 4*j. Solve b*l + p = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-28)\/(-294)*10*(-3)\/24.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39529 is divided by 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k + 1. Let g be j(2). Suppose 2*i + 4 = -0. Let a(u) = u**3 + u + 4. Let r be a(0). Put g, r, i in ascending order.\nAnswer: g, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 3, 1.2, -1, 1948, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -5945 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 64*r - 69*r + 315, 59 = a - r. Solve 0 = -29*u + a + 142 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b = 91*b + 1034 - 80 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 2. Suppose 0 = -x*l + 2*l. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.65942 and -0.38?\nAnswer: 0.27942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.041764 (b) -3 (c) 4 (d) 3 (e) -4 (f) 2 (g) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7333737 and 0.05?\nAnswer: 7333736.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*o + 12 = 0, -3*o = 5*g - 2*o - 3. Suppose g = -4*h - h + 25. Solve -16 = -h*w + w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2012328 times -2?\nAnswer: 0.4024656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x**5 - 145 - 78388*x**3 - 3336*x**4 + 74 - 26*x**5 + 71 - 8464*x - 51152*x**2 = 0 for x.\nAnswer: -46, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 0.5, -17, -35, -1, 3?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -110303331\nAnswer: -5\/110303331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 12*p**2 + 4*p - 35. Let z be w(12). Let c be z\/(-78) - 2\/((-12)\/(-491)). Let u = c + 327\/4. Which is smaller: u or 2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 120 = 174. What is the nearest to 19 in -1, 0.3, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 260*n**2 + 4*n - 3. Let i be p(1). Suppose i = 5*x + 4*x. Let a = x + -30. Is 2 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*k - 41*k - d - 552, 5*d + 5*d - 8*d + 44 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866 + 4\/(-8)*2 + 4.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 42 = -222. Suppose 0 = 5*d + 2*a - r, 4*a - 42 = -3*d - 2*d. Differentiate -i**3 + d + 20*i - 20*i wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 26 = 5*t + i, i = -1. Let f(m) = -2*m**2 - 4*m. Let d(n) = 2*n**2 + 5*n. Calculate t*f(w) + 5*d(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 + 185 = -10*f. Let a(i) = -2*i - 6. Determine a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5689 + -10149911.\nAnswer: -10155600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -43 + 12 + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5749 + 170?\nAnswer: -5579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 439299146?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/978462 and -179\/14364.\nAnswer: 41095404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1.5, -54, 1\/3 in descending order.\nAnswer: 1.5, 1\/3, 0.2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25509516, -25509512, -25509506, -25509498, -25509488, -25509476, -25509462?\n\"Answer: b**2 + b - 25509518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 0.1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1755 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, n: 5}. What is prob of picking 1 n and 1 v?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/6 - 465568*f\/3 - 310379\/2 = 0 for f.\nAnswer: -1, 931137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2. Let k(p) = -3*p**2 + 12 - 12. What is f(k(y))?\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -28*v + 1623. Calculate the remainder when 265 is divided by i(56).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43b1b (base 13) in base 15?\nAnswer: 26563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207836*q - 5226*q**2 - 207836*q to the form s*q + f*q**2 + w and give f.\nAnswer: -5226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13119280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 3. Let x(f) = f**3 + 6*f**2 - 3. Let a be x(-4). Suppose -4*k = 9 - a. Calculate r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -5\/2*g**2 + 1\/12*g**4 + 2*g + 1\/3*g**3 + 0. Let a be 1\/(-7) + 81\/(-21). Determine t(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 2*m + 110. Let z be k(11). Let s(x) = -x**3 + 14*x**2 - 35*x + 22. Let o be s(z). What is the second biggest value in 3, -2\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/18 - (-3)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1377*w**3*y - 4*w**2*y - 4*w**2 - 2 wrt w?\nAnswer: -8262*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 1)**2 + sqrt(684) - (sqrt(19) - (2 + sqrt(19) + sqrt(304))).\nAnswer: 22*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25342236.53 rounded to the nearest one hundred thousand?\nAnswer: 25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 17 - (3 + -33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 24, -2*k + 83 = 10*h - 5*h. What is the least common multiple of 340 and h?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -11.1. Let h = 70 + -84. Let b be (-2)\/4*36\/h. Is g > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(1 - 2 + 0 - 2 - 1 + 4 + (-2 + 3 + 1)*(3 - 3 - 1) - 5 - 1 + 2)*(4*d**2 - d**2 - 2*d**2) to j + t*d + k*d**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -652, -2039, -4658, -8899, -15152, -23807, -35254?\nAnswer: -49883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4 + 4)*(-14*d**2 + 42*d**2 + 54*d**2 + (d - 8*d + d)*(2 - 1 - 3)*(-2*d + 1 - 1) + (-d - 3*d + 2*d)*(d + 3*d - 5*d))*(-d + d**2 + d).\nAnswer: 120*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*o - 20*o**5 + 40*o + 19*o wrt o.\nAnswer: -400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/2, 2\/11, 0, -2391, 0.15 in increasing order.\nAnswer: -2391, -19\/2, 0, 0.15, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -48*f - 202. Determine c(-3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**2 + 4*t + 1. Give l(4).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -11 - ((-960)\/4 - 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3685)\/220 - (-16 + -2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -4 + 0 + (-14)\/7. Let l(o) = -4*o - 1. Let k(c) = -4*c - 1. Give f*k(i) + 3*l(i).\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 475\/207 - 5\/69. Sort 6, a, 0, -5, 2\/7 in descending order.\nAnswer: 6, a, 2\/7, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58836.\nAnswer: 2, 3, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-11)\/4 - -4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73\/14 + -26\/7. Let k be -2*2\/(-8)*2. Let x be k*3*(-4)\/3. Which is the third biggest value? (a) 4 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -36, -5, 1, 2, -51, -4.\nAnswer: -51, -36, -5, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 - 1. Let y be l(1). Suppose q - 10 = -5*t - 0*q, y*q = -2*t - 14. Suppose 7*a - t*a = 20. Solve a*w - 3 = 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 5*u + 1. Determine o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**3\/3 - o**2\/2 + 3*o + 1. Let i be t(-3). Let m = i + -8. Calculate the remainder when 12 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + o + 1601, -g - 13*o + 800 = -14*o. What are the prime factors of g?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -447679.\nAnswer: 447675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 222 - 11\/(121\/(-77)). Solve -222*n = -z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885 + 1023 - 8*k**2 - 169 + 4*k**2.\nAnswer: -4*k**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 201877970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - z + 3, z + 12 = -t - z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4 - 4)*(1818*x - 891*x - 903*x - 2*x + 4*x - x + 1 + 2*x - 1 - 4*x - 2*x + 5*x + 2*x + 0*x - x + (4 - 1 - 2)*(-3*x + 2*x + 3*x)).\nAnswer: -58*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 2*i**2)*(0 - 1 + 0 + 3 - 5 + 0 + (-5 + 1 + 6)*(0 + 0 - 1)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 3\/3*6. Suppose 5*g - i*g - 542 = 0. What is the remainder when g\/(-14) + 6\/21 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let p(n) = -3*n**2 + 3*n. Let v = 342 - 322. Let m = v - 22. Suppose -4*w + 5 = -9*w. What is m*t(a) + w*p(a)?\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 24 - (-10 + (2 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let i(y) = -25. Let m(r) = -112. Let g(x) = -9*i(x) + 2*m(x). Let z(s) = 5*s - 10. Calculate t*z(u) - 10*g(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 643\/6 - 107. Let j(x) be the second derivative of 3\/20*x**5 - x - h*x**3 + 0*x**2 + 0 + 0*x**4. Find the second derivative of j(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31 - -412.5675062353.\nAnswer: 412.2575062353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74007663773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 20. Let d be 0 + (-132)\/(-360) + 3\/(-18). What is the second biggest value in d, r, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3116 - 3110. Solve z*l = -54 + 36 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5906250?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven halves of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*a + 136*a - 15. Suppose -q = q - a*q. Solve -4*d + 2*d = q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r - 4*m + 1 = 0, 0 = 4*r - 4*m. Let j be (57\/(-15))\/(r\/(-5)). Suppose -j*i = -14*i - 275. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2149, 0.1, 9, -2, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -557 + 542. What is the tens digit of 21\/(6 - (-85)\/o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2 - 5*z + 12. Let u(r) = -r**2 - r. Let i(k) = 6*u(k) + v(k). Let f be i(-12). Solve 0 = 5*y - f*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-486)\/(-336) + -1 - 48\/84?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 11. Let v(p) = -191*p + 19. Let s(g) = -636*g + 56. Let r(k) = -3*s(k) + 10*v(k). Determine 5*b(u) - 3*r(u).\nAnswer: u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262720 and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.169 + 0.129. Let l = 0.52 - 0.02. Let z = -1 + l. What is the biggest value in z, 3\/4, n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.556 + 0.056. Let d = -1 + 2. What is the closest to d in 0.3, k, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(2548) + 2*sqrt(2548) + -1 + sqrt(2548) + (5 + sqrt(2548)*-1 - (sqrt(2548) + -1 + -5)))*2)**2.\nAnswer: 24192*sqrt(13) + 372096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*h - 0*a - 9, 2*h - 24 = -2*a. Suppose h*z = -5*z + 1764. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52879*n - 3*s + 46 = -52874*n, n - 14 = -s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304629912 divided by 555894.\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1863 + -1863. Solve -23*y - 18*y - 164 = i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(363) + sqrt(363)).\nAnswer: 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6*(13\/(-6))\/(-2*(-2)\/(-4))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -283 in 28583, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/13)\/o)**(-21))**(15\/4) assuming o is positive.\nAnswer: o**(3465\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6)\/(q*q*q**(-6))*q**6\/(q\/(q\/(q\/(q**(-7)\/q)*q*q))))\/((q*q**(1\/5))**(-10\/11))**(-25) assuming q is positive.\nAnswer: q**(-1855\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12310 (base 4) to base 7.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**4 - 4*h**4 + 2*h**4 + (-3 + 4*h**2 + 3 + (h + 4 - 4)*(-h + 0*h + 0*h))*(15 - 15 + h**2).\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270259 is divided by 108.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:07 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 53 + 8. Let h be 15\/2*(-10)\/a. Let n be (-2)\/(4\/(-6)*1). Solve 2*j = -n*j - h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 3*k**3 + 1. Let n(o) be the first derivative of -3*o**2\/2 + 175. What is f(n(a))?\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39171 rounded to three dps?\nAnswer: -0.392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from lamllqaqmaaaialmlil.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 5858?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/3 - (-1155)\/1171. Let x = l - -2945097\/2342. Let n = x - 1224. Calculate the common denominator of n and -38\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j + 1. Suppose -2*m + 4*m = 6. Let s = m - 4. Calculate z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112303103 (base 5) to base 8.\nAnswer: -1743522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10834*n**3 + 65*n + 14*n - 79*n.\nAnswer: 10834*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(10\/20*-5 + 4). Solve w = 0, 4*w = -4*q + 20 - m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. What is the remainder when 64\/4 + -2 + -3 is divided by s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 155113*p**2 + 155113*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 302*w**3 - 80*w**3 - 1308*w**3 + (0*w**2 - 2*w**2 + w**2)*(-2 + 2 - 2*w).\nAnswer: -1084*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.769452 nanograms to micrograms.\nAnswer: 0.006769452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23302, -46549, -69796, -93043, -116290?\nAnswer: -139537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7055 in -14, -5, -7, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/3)\/(i\/i**2*i*i)*(i**(-2\/9))**(-4\/9)*(i**5*i**2)**25 assuming i is positive.\nAnswer: i**(14237\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -943, -884, -823, -760, -695, -628, -559?\n\"Answer: k**2 + 56*k - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkt when three letters picked without replacement from {t: 4, k: 2, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 455 and 42\/112 + 69925\/(-125)*(-5)\/8.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 170 = 5*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 60*d**3 + 30*d**2. Let f(v) = -v**3 - v**2. Calculate 60*f(q) + 2*y(q).\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.82 + -0.18. Let b = -6 - z. Let r = 1.6 - b. Sort -1\/7, 5, r in increasing order.\nAnswer: r, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 3:42 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1247058 and -0.17.\nAnswer: 211999.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 11*r**2 + 9*r - 3. What are the prime factors of l(-12)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 290*x**2 + 595*x + 300.\nAnswer: -5*(x - 60)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 2816.\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14072623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102812 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*l + l. Let g(m) = -6*m + 51. Let s be g(8). Suppose 3*v - 17 = -2, -3*v = s*n - l. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a791 (base 12) in base 11?\nAnswer: 172856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.077 - -0.177. Let g = 2.6 - 12.6. Let q = g - -1. Sort q, a, 2\/21.\nAnswer: q, 2\/21, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 114\/41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 0 + 0)*(-2*f + 0*f + 4*f + (-4*f + 6*f - 8*f)*(0 + 4 - 2))*(-1 + 1 + 3) to z*f**2 + q*f + n and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*r + 50 = 6*l, -l - 481 + 482 = 130*r - 129*r for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185\/58 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**2 + 3*p**2 - 72 - p + 105 as w + d*p + u*p**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 18*c - 65. Let r(v) = 9*v - 66. Let m(p) = 2*o(p) - 3*r(p). What is m(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*w = -l - 43, -4*l + 3*w = -57. Let i = -19 + l. Let g = -1.1 + 0.9. Which is the biggest value? (a) -5 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 26*c - 7335 = -22*c, -2*c = -6. Calculate the highest common factor of 79 and f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4466021*o**2 - 442918*o.\nAnswer: 8932042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((((t*t*t**(2\/9))\/t)\/t)\/t))**(8\/11)\/(t**(-1)\/(t\/(t\/(t*(t*t**(2\/9))\/t*t))*t))*(t\/t**(-3))\/(t*t**(1\/10))*(t**8\/t)\/(t**(-8)\/t) assuming t is positive.\nAnswer: t**(8057\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380 by 6.\nAnswer: -190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 29634*j**2 + 73032768*j + 733294080.\nAnswer: 3*(j - 4944)**2*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14 - ((-55)\/2)\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-108 + 2*u + 68 + 60)*(-3 + 0 + 1)*(-6 + 14 + 6) to f*u + w and give w.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i - 9. Let a(q) = q + 3. Let c be a(-1). Let j be n(c). Calculate the remainder when 27 is divided by (-1 - 6)*(j - -17).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(-3 - 2*w + 3) + (-2 + 2 + 6)*(2*w + 4*w - 5*w) to the form k*w + t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*sqrt(539) + -5 + 0 + -2*(sqrt(539) + -1 + 3 + sqrt(11)*-1)**2).\nAnswer: -4025 - 345*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + s**2 - 2*s**2)*(-5 - 6 + 1) - 1 + s**2 + 1 + s - 3 + s**2 - s.\nAnswer: -18*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001933637867 to 5 decimal places.\nAnswer: -0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-10) + 1*2. Let y = -1.5 - -10.5. Let z = -9.5 + y. What is the third biggest value in p, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-3)*z**(5\/3))**(-49)\/((z*z**5\/z)\/(z*z**0))**44 assuming z is positive.\nAnswer: z**(-1508\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((t**(-4)\/t)\/t)\/t)\/t)\/(t\/((t\/(t**(-14)*t))\/t)))**37)**(-36))**(14\/9) assuming t is positive.\nAnswer: t**(-8288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -4\/9 (c) 0.4 (d) 1894\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 26*m**2 - 8*m. Let r(j) be the third derivative of 17*j**5\/60 - 5*j**4\/24 - 48*j**2. Let l(k) = 5*a(k) - 8*r(k). Let q(c) = 7*c**2. What is q(l(h))?\nAnswer: 252*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1653\/76*20\/15\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 159444 and 1548?\nAnswer: 159444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6)*-1 + (-15)\/(-9). Suppose -f + 266 = 3*d, b*f + 0*d - 520 = -3*d. List the prime factors of f\/8 + (-7)\/(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359798, -359736, -359674, -359612?\nAnswer: -359550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 45, 82, 145, 240, 373, 550, 777?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 5*k + k + 5*k - k. Let q(m) = -57*m**2 - 2*m. Give q(v(x)).\nAnswer: -513*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (584\/(-511))\/((-26)\/(-14) - 2). Let h(v) = v**3 - 7*v**2 - 7*v + 2. What is the lowest common multiple of 2 and h(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-10) + 2 - -1)*-5. What is the remainder when (40\/s)\/(14\/(-126)) is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(240)\/sqrt(5) - sqrt(48))*-1 - (-2*sqrt(48) + 2)) + ((sqrt(1200) - (sqrt(1200)*-1 - sqrt(1200)))*-5 + sqrt(1200))*4)**2.\nAnswer: 4448*sqrt(3) + 3709635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z - 11. Suppose -8*d + 319 = 423. Let i(y) = -4*y + 5. Give d*i(f) - 6*w(f).\nAnswer: 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by -1?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46848, 46849, 46850, 46851?\nAnswer: 46852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -6. Suppose -5 = z + d*z. Let v = 17 + -14. Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2263 - 2?\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2282*s - 132353. Let z be w(-58). Find g such that 21\/4*g**2 + 1\/4*g**z + 0*g + 0 = 0.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(22)\/sqrt(2)*4 + (6*sqrt(539))**2.\nAnswer: 4*sqrt(11) + 19403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39177 and 187340061.\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 4*d + 36. Let q = d - 7. Find the first derivative of 5 - 18*l**q + 10*l**2 + 4*l**2 wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*q**3 - 3*q**3 + 6*q**2 - 30*q**3 - 86*q**3 - 3*q**2 in the form t*q**3 + y*q**2 + d + f*q and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2307 = -269*x - 2343 + 9989 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, 11202, 4 in ascending order.\nAnswer: -162, 4, 11202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 22*m - 7. What is the hundreds digit of k(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2311\nAnswer: 2\/2311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-8))\/(2\/(-128)). Suppose -k + 45 = -6*k + 5*v, -4*v = -3*k - y. Let s = k - 1. Sort 2, s, -1 in increasing order.\nAnswer: s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 21. Let a = 63 + m. Solve 18 - 6 = 2*k + 5*n, 0 = -k - 5*n + a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 299.4 + -372. Let q = c + 29.3. What is q rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (20 - 20 - (-1 + 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 14*w - 14. Let c be b(10). Let j = 38 - c. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/4, 14, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292250?\nAnswer: 2, 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*(-33)\/(-22)*1. Let u(x) = -5*x**2 + x. What is u(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 4*d - 4. Let y be b(5). Let n = -71 + 71. Is 4 a factor of 20 - n*3\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s**2 - 10*s - 9. Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.625 and -24638827565?\nAnswer: 24638827564.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 - 112.9954. What is h rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -2 + -3 + -34. Let t = 45 + o. Solve t = 4*w - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/12 + 2*u**3\/3 + 3*u**2\/2 - 5*u. Let l be a(-3). Solve -3*o + 2*g = -16, -16 = -l*o + 2*o + 4*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 6*f - 4. Suppose 5*x - i - 40 = 0, -3*x + x - 3*i + 33 = 0. Let n = -16 + x. Let k be l(n). Solve 5 + 1 = -k*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/13, 0, 1\/4, 2, -18 in increasing order.\nAnswer: -18, 0, 2\/13, 1\/4, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = 3*t + 151. Let f = 929 - t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u + 2*u**3 - 2 + 1 - 21*u as c*u**2 + v*u + i*u**3 + g and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -208537*c. Let g(z) = z. Determine h(g(d)).\nAnswer: -208537*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1969700 to the nearest 10000.\nAnswer: -1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*s + 19, 2*s + y = -0*s - 11. Let x be s\/6*-4 + 6. Suppose 7 + x = 5*j. Solve 3*l + 6 = 2*o - 7, j*o = 4*l + 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -10*v + 77. Suppose 0 = -2*m - k + 200, -5*m + 3*m + 188 = 4*k. Suppose m + 108 = 3*s. What is the remainder when s is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154700 and 324870?\nAnswer: 3248700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899229?\nAnswer: 157, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/60 - 13*b**4\/24 + 10*b**3\/3 - 25*b**2 - 2. Let a = -204 - -190. Determine u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11585 - 11582. Factor 6\/7*w**u + 0*w**4 + 3\/7*w - 8\/7*w**2 - 1\/7*w**5 + 0.\nAnswer: -w*(w - 1)**3*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25b260 (base 12) to base 5.\nAnswer: -124330322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/8*(10 - 6 - 2)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58\/18 + 6\/(-27). Suppose 0*w - 4*w + 14 = j*m, 16 = 3*m + 5*w. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + h - 7 = -6, -2*w + 9 = h. Let t = -37 - -37. Factor t + 2\/5*b**4 + 6\/5*b**2 + 2\/5*b**5 + 0*b - w*b**3.\nAnswer: 2*b**2*(b - 1)**2*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4042*p**3 - 680*p**2 + 2?\nAnswer: 24252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 969*o = -p + 973*o - 19, 2*o = 5*p + 23 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/((688\/(-64))\/(-43)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1284 + -514. Suppose 2*t + 5*s = -0*t + 525, 4*s - z = -3*t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -84. Suppose t*u - 150 = 29*u. What is the greatest common divisor of 20 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*((-111)\/6 + 19). Let l(r) be the second derivative of -5\/6*r**3 - 1\/60*r**5 - r + 25\/6*r**2 + 0 - d*r**4. Factor l(w).\nAnswer: -(w - 1)*(w + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.712036 * -52\nAnswer: 193.025872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 480\/(-225)*(105\/108 + (-8)\/36).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcqnuct. Give prob of sequence ckun.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5698)\/4070 - (-147)\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r + 5*y + 11, 0 = -r - 2*y - 2. Let l = r + -3. Let a be -3*2 + 28 + -13 + (3 - 9). Solve -a = 5*p - 3*k, -4*k + 3 = -4*p - l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 938 and 11690294.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1185086 and -0.3.\nAnswer: 1185085.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10333 (base 4) to base 3.\nAnswer: -102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 21. Solve 4*p + 3*g = -l, -4*p - 14 = -p - g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4*q + 2*a**3*q - 1741*a**2*q - 2*a*q + 15327*q wrt a.\nAnswer: -24*a**2*q + 12*a*q - 3482*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*m**3 - m**4 - 20*m**3 - 189*m - 31*m**3 to the form s*m + r*m**2 + o*m**4 + v + y*m**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3060)\/(-160) - 2\/16.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-102)\/(-15) + -7)*5. Which is the smallest value? (a) 2\/11 (b) u (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8750*l**3 - l + 4. Let t(a) = a - 3*a + 3*a. Let p be t(4). Let v be j(p). What is v rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 11 = -14. Suppose -4*f + 0*k - 3*k = -11, -f + 4*k = 2. Suppose d - z = -f. What is the nearest to -1 in d, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, -376 in ascending order.\nAnswer: -376, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 207*m + 3480.\nAnswer: 3*(m + 29)*(m + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/i)\/i)**(-9)*(((i*i*i**(1\/2))\/i)\/i*i)**5 assuming i is positive.\nAnswer: i**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 221210?\nAnswer: -222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 1)*(6*m - 4*m + 6*m) + m - 3 + 3 + (0*m - 4*m + 2*m)*(3 - 1 + 0) + (3*m - 2*m - 2*m)*(-8 + 10 - 11) to i*m + l and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/c**(-1\/5)*c*c*(c\/((c*c**(-2\/5)*c)\/c*c))\/c*c*c*c\/c**(-6\/7)*c*c\/((c**(1\/20)\/c)\/c) assuming c is positive.\nAnswer: c**(1457\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*sqrt(252) + 4 + 4 + sqrt(252) + -2)*-4)**2 + -5 + -1 + 4.\nAnswer: -1152*sqrt(7) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 - z**3 - z**3 + (-2*z**2 - 1 + 1)*(-z + z + 2*z) - 2*z**3 - 2*z + 2*z + (z - z + 2*z)*(3*z - 3*z - 2*z**2) + 0*z**3 + 2*z**3 + z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3828725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 31 = -6*p + 10*p, 4*v = 3*p. Suppose 0*t = t + 2*l, -2*t = -v*l - 7. Solve -h = 5*i - 5*h - 30, -i - t*h - 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/60*2)\/(166\/27888)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10. Let t(v) = -v**2 - 8. Let m = 37 + -43. Let z(b) = m*p(b) - 5*t(b). Find the first derivative of z(w) wrt w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9041\/23247 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31a11 + 189?\nAnswer: -31844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4501640 (base 7) to base 11.\nAnswer: 34a225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15730263 divided by 24617\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*m - 4. Suppose m*j - 85 + 13 = 0. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 338.9599 - 339. Let r = -0.2871 - t. Let x = -0.091 - r. Round x to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1580*v**3 - 3238 wrt v?\nAnswer: -4740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52196 is divided by 25884?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 3*b + 5*v + 145 + 169 = 0, -17*v + 644 = -8*b - 28*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1501*u**3 + 51 - 5308*u**3 - 51.\nAnswer: -3807*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**5\/210 - 2*t**4\/21 - 16*t**3\/21 + 4*t**2. Solve o(r) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*j - 177*j + 970*j - 13*j to i + u*j and give u.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15\/4, -2\/7, 0.2, 0.6, 0.0375?\nAnswer: 0.0375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398935758, 398935759, 398935760, 398935761, 398935762, 398935763?\nAnswer: 398935764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 5*x + h, -133*x + 3*h + 256 = -128*x. Calculate the remainder when 350 is divided by x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.453939 years in millennia?\nAnswer: 0.006453939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 7*q**2 + 7*q + 2. Let t be (32\/(-40))\/(2\/(-25)). Suppose -4*n + f = 22, 2*f + t = -3*f. Calculate l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**4\/12 - 3*v. Let m(b) = -7*b - 2*b + 2*b + 0*b. What is d(m(w))?\nAnswer: -49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53476187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1054446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**2*r*x**2 - 456926869*k**2*x**3 - 378*k**2*x + 4113*k*x**2 - 2*r*x**3 wrt x?\nAnswer: -2741561214*k**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -33*l + 11. Let q be b(-11). Suppose 0 = -10*n + 12*n - q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -533\/2615 - -2\/523. Which is the second biggest value? (a) -4\/15 (b) -1 (c) g (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-765)\/187 - (51 + -55).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)\/(((-43)\/78776)\/(26\/(-4))). What is the greatest common divisor of v and 687?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/746 and 11\/8.\nAnswer: 2984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 24. Let b = -12 + a. Let g = 3 + b. What is the closest to -0.1 in 0.2, g, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12234\/5 + 151887\/65. Let b = l + 13257\/130. Find the common denominator of b and (-4)\/(-8) + (-24 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 283, 536, 729, 832, 815?\n\"Answer: -5*l**3 + 288*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/15 + 1\/(-5) + 4. Let m be 2*(-2)\/4*b. Let g(y) = -y**3 - 2*y**2 - 2*y - 5. Let x(w) = -w**3 - w**2 - w - 3. Calculate m*x(p) + 3*g(p).\nAnswer: 2*p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 728662644 and 2988?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**12)**(26\/3) assuming l is positive.\nAnswer: l**(338\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 10*m**2 + 8*m - 9. Let x be n(-9). Suppose 2*w + 3*w + 3*i + 195 = x, 2*w = 5*i - 47. Is 2 a factor of ((-1)\/3)\/(2\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 597 - 616. Which is the third smallest value? (a) g (b) 0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 145?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232817 is divided by 954.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p - 10. Let z be k(4). Let d = z + 32. Is 631 + d\/2 + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a14d - -44?\nAnswer: -a109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 + 0 - (-152 + 164). Let f(i) be the second derivative of -1\/30*i**4 + 0 - 2\/5*i**2 - c*i + 1\/5*i**3. Solve f(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.15, -1074, -2?\nAnswer: -1074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -96337 minus 0.782?\nAnswer: -96337.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1148 and 2460.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -317, -629, -941?\n\"Answer: -312*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12143 + -12146. What is the second smallest value in 5, m, -0.3, 0.015, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*b - 21, -z - 3*b + 22 = 1. Let s(l) = -10*l - z*l - 10*l. Let x(t) = 3*t. What is x(s(v))?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -545*a**3\/6 + 275*a**2\/2 - 211*a. Differentiate z(w) with respect to w.\nAnswer: -545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 1. Let r(j) = -3*j**2. What is u(r(c))?\nAnswer: -18*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 612457*a**5 + 354*a**2 - 39*a - 3 wrt a?\nAnswer: 36747420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 5:57 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/32)\/((-87)\/(-29928))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -4, -157, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q + 27. Let c be x(-5). Solve c = -n + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 + -3 + 1 + -4 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 9. Let i be n(24). Suppose i*p - 189 = 12*p. What is the remainder when 151 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1410 and -43\/42?\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 divided by -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -316675719*h**2*m*u*z + 57*h**2*u*z + 9*h**2*u - 3*h*z - 3*h - 11*u - 24 wrt m.\nAnswer: -316675719*h**2*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1340)\/(-107870) + 2\/(-14)*1.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3048364.\nAnswer: 2, 11, 29, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -226*m**3 - 1148*m**2 - 88*m - 11. What is a(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 919 in 0.4, 3, 1\/5233?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**3 + 29*h**3 - 12*h**3 + 14*h**3 - 13*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**4\/12 + 2*u**3\/3 + 7*u**2\/2 - 3. Let k(y) be the second derivative of o(y). List the prime factors of k(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-4))\/(((-33)\/12)\/(-11)). Solve z = -z - 5*w - 5, -a*z = -w - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12379 and 4043563213?\nAnswer: 12379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**3 - 3*v - 3. Let t(k) = -k**3 + k + 1. Calculate -m(n) - 3*t(n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -872824 and -154.\nAnswer: 134414896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*j - 7, 4*n + 0*n + 3*j = 0. Suppose -n*r = -306 + 96. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 16*j**2 + 6*j + 5. Let t be a(-2). Let c = -42 + t. Suppose -3*f + 8*f + 18 = 2*w, w - f - 6 = 0. Calculate the remainder when c is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, d: 3}. Give prob of sequence lld.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2511421 + 2?\nAnswer: 2511423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, x: 4, r: 1, q: 4, b: 3}. What is prob of picking 1 s and 1 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3 + 9. Let v = b - -4. Suppose -o = -5*d + 10, -17 + 4 = -v*o - d. Calculate the greatest common divisor of 20 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 - 118. Let a = -31 + c. What are the prime factors of ((-1132)\/a)\/(5\/4 + -1)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 1\/4, 84, 1\/5, 1\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = u - 10*f + 57, -5*u + 286 - 242 = -11*f + 175 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 6 + 56 + -59?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001*1167.309.\nAnswer: 1.167309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*q - 4, 5 = -3*q - 2*q + 3*o. Let m be 2\/20*(-5)\/10. Which is the third smallest value? (a) m (b) -2 (c) q (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*c**3 + 6*c**2 + 273 wrt c.\nAnswer: 72*c**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3055 + 1209 = 36*a - 130*a + 146*a for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8975 + -5?\nAnswer: -8980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1307.7 + -0.00265\nAnswer: -1307.70265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1950842468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19046.64 centuries to months.\nAnswer: 22855968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 16 = 5*l. Let u be (-508)\/(-20) + l\/5. Let p(t) = -2*t**3 - 166*t**2 - 3*t - 223. Let c be p(-83). Is c <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(5) + sqrt(20)) - sqrt(6))\/(sqrt(3) + (sqrt(54)\/sqrt(6))\/sqrt(3)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.05009 rounded to 1 dp?\nAnswer: -20.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 656024 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10 = -o, -c - 2*c = 12. Let i be (-22)\/(-5) + o\/(-5). Let g(d) = i*d - 2*d + d. Let s(l) = -2*l**2. Calculate g(s(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(135\/(-18) - -7) + 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24818 = -5*k - 3*n + 5*n, 5*k = -4*n - 24794. Calculate the common denominator of -91\/10 and k\/3024*-3 - (-2)\/7.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110985839 is divided by 371?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**6\/720 + g**4\/3 - 3*g. Let t(p) be the third derivative of c(p). Let s(m) = -3*m**2. Calculate s(t(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 108\/21 - (-22)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = 2*a. Let g be -1*(2*a + 15). Let c = -8 - g. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/60 - u**4\/24 - 7*u**2\/2 - 9*u. Let i(l) be the first derivative of c(l). Give i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3892593?\nAnswer: 3, 61, 89, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2764695.6 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.00405, 2, 22 in descending order.\nAnswer: 22, 2, 0.00405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/4)\/(99\/(-11)))\/(1\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -66*(-1)\/28*(-16)\/(-168)*14. Factor 0 - c*j**2 + 4\/7*j + 24\/7*j**3 + 18\/7*j**4.\nAnswer: 2*j*(j + 2)*(3*j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, r: 5}. What is prob of sequence rr?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -105220\nAnswer: 31566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 s when four letters picked without replacement from {j: 13, s: 5}.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1277, 8515, 21715, 40877?\n\"Answer: 2981*z**2 - 1705*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 2*p**2 + p. Let r be v(-2). Let o be ((-8)\/14)\/((-14)\/49). Let u = o + 3. Solve -r = u*x - 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -7*f**5\/2 + 483*f**3 + 736*f**2 + 2*f. Differentiate n(v) with respect to v.\nAnswer: -420*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*l = 32, -l - 11826 = -4*t - 11865 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6627003 meters to millimeters.\nAnswer: 662.7003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 3*g + g + ((0 - 2 + 0)*(2 - 3 + 0) + 1 + 0 - 4)*(-g - 2*g + g) to q*g + s and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -5c702?\nAnswer: 5c6cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 8618?\nAnswer: 8621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - 2 - (-11507 + (25 - 14)).\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 + 123. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/5040 and -23\/192.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3413061 divided by 3.\nAnswer: 1137687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8526 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15211656 divided by 492.\nAnswer: -30918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56304609, -225218545, -506741779, -900874317, -1407616165, -2026967329?\n\"Answer: -q**3 - 56304643*q**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 24, 2, 62, -8 in decreasing order.\nAnswer: 62, 24, 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1155, -1155, -1141, -1107, -1047, -955, -825, -651?\n\"Answer: y**3 + y**2 - 10*y - 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 3*w - 2*w. Let q be w\/(-90) - (-2)\/15 - 0. Is 5 - (-26313)\/15 - q\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -23, -51, -105, -191, -315, -483?\n\"Answer: -z**3 - 4*z**2 + 11*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -927? (a) 0.4 (b) 28.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-30))\/(-1)*-6. Let l be 3\/9 - (-10)\/(-3). Sort o, 0, l.\nAnswer: l, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*g - 4*h - 10, h = 0. What is the third derivative of -4*b**4 + g*b + 8*b**2 - 12*b**3 + 6*b**3 + 6*b**3 wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v - 12. Let r(b) = -2*b + 4. Calculate 5*q(l) + 14*r(l).\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3241*p + 9714. Determine o(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftftfffttffftffft. Give prob of picking 2 f.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**6 + 8766118*a**5 + 91768758*a**2?\nAnswer: 360*a**3 + 525967080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -376 (base 10) to base 12.\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461747138?\nAnswer: 2, 1279, 180511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.7 bigger than 4886626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 12421925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 4*q**2 + 23 - 53.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 20*r**4 + 104*r**3 + 212*r**2 + 128*r - 8. Let z(a) = 7*a**4 + 35*a**3 + 71*a**2 + 43*a - 3. Let o(b) = -3*p(b) + 8*z(b). Factor o(k).\nAnswer: -4*k*(k + 1)*(k + 2)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d**3 - 22*d**2 + 4*d - 2. Let s(i) = -23*i**3 + 65*i**2 - 11*i + 6. Calculate 11*k(v) + 4*s(v).\nAnswer: -4*v**3 + 18*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2943 + a9?\nAnswer: -2845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (0 + sqrt(252))) + -1 + 0)*-3 + -5)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 35*v + 1930. Give l(-55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 224974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d + 0 - 17\/8*d**4 - 4*d**2 - 2\/3*d**3. What is the remainder when b(-2) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15759 + -2734. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, e: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/488 and 8\/12993.\nAnswer: 103944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 9*n)*(759*n - 238*n - 96*n).\nAnswer: -3825*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by -543?\nAnswer: 74\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 16 = 8*t. Let w be -2 - (t\/(-2) + -57). Suppose -4*u = -5*u + w. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76.9 - -76.9. Which is the third biggest value? (a) -8 (b) 4 (c) -2\/5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**2 - 24 - 13 + 31 + 3*o**2 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/((-57)\/(-152)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/267840 and 101\/80?\nAnswer: 267840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*j + 41*j**3 - 71*j + 3*j**2 - 83*j**3 + 51*j**3 wrt j?\nAnswer: 54*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 258614, 516488, 774360, 1032230, 1290098, 1547964, 1805828?\n\"Answer: -w**2 + 257877*w + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2156 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56300909*h*i + 843683*h with respect to i.\nAnswer: -56300909*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 289*j**3*q**3 + 6*j**3*q + 802*j**2*q - j*q**3 - 107*j*q + 291*q**3 - 2 wrt q.\nAnswer: 1734*j**3*q - 6*j*q + 1746*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 2295889?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, -0.13055 in increasing order.\nAnswer: -3, -0.5, -0.13055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/51, 10, 1\/2 in ascending order.\nAnswer: 1\/51, 1\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((5 - 39)\/((-31)\/62))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1687.852949 to 1 dp.\nAnswer: -1687.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 87*v - 96. Let k be t(4). Suppose 220*x = 211*x + k. Calculate the greatest common factor of x and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 13334, 0 in descending order.\nAnswer: 13334, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 1)*1\/(-2). Suppose n = -f - r*f + 19, 2*n - 2*f - 42 = 0. Suppose -3*b + n = 2*b. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-15))\/6*60\/18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 90 = -0*h - h, -4*i = 2*h + 130. Let w = i - -71. Let n be -9*(146\/(-198) - (-246)\/1353). Calculate the highest common divisor of w and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2432 is divided by 63?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 22*c + 37. Let w be 194\/1067 - (-888)\/(-44). Calculate p(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -12?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)*z)**43*(z**(-1\/15))**12 assuming z is positive.\nAnswer: z**(-2154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, 0.2, -466.29?\nAnswer: -466.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14198805 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1404 and 298896.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(13\/4))**(3\/2)\/((g*(g\/(g\/((g*g**(-6\/5))\/g))*g)\/g)\/g*g**13)**16 assuming g is positive.\nAnswer: g**(-26627\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -5, 128 in descending order.\nAnswer: 128, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/52)\/((-5)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1160.\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from bnnbbbbfbfbsnbzi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*a*q*r**2 + 7899309*a*q*r + a*r + a + 99*q*r**2 + 1055*r**2 wrt r.\nAnswer: -66*a*q + 198*q + 2110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (79\/(-474))\/((-120)\/(-160))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2 = -d + 2*r, -15 = -5*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3069.3 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 27*g + 80. Let a(s) = s**2 + 14*s + 40. Let l(u) = 7*a(u) - 3*v(u). What is the remainder when 71 is divided by l(-16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 634897418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-108)\/(-189) - 96\/154. Let i = z - -409\/462. Suppose 5*l - l = 0. Which is the second biggest value? (a) 1\/2 (b) -0.4 (c) i (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2274811 - 1432110. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:27 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15217, 61136, 137689, 244876?\n\"Answer: 15317*b**2 - 32*b - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(-17)*v))*v**(-1\/6))\/(v**(-11\/3)*v*v\/v**13) assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503768709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + 2)*(0*m + 2*m - 3*m) + (5 - 2 - 5)*(-69*m + 6*m + 13*m))*(9*m**3 + 6*m**3 - 5*m**3) as s*m**2 + i*m**3 + v*m + z + b*m**4 and give b.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 10*a**2 - 18*a + 2. Let n be s(-8). Let g(x) = -4*x**2 + 2*x + 2. Let y(t) = -17*t**2 + 9*t + 9. Determine n*g(o) - 4*y(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((82\/(-1640))\/((-2)\/48))\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkx when three letters picked without replacement from kxkpxpxkxxkkdkddppk?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1830.94 to the nearest ten.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 10*o - 11. Let j be g(8). Let b = j + -3. Suppose -c - b*s - 2 = 2, 5*s = c - 3. Which is smaller: -2\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7732 or 7725?\nAnswer: 7725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 12 = -14*z, 4*z + 132 = 3*s. What is the remainder when 2206 is divided by s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 145*a**2 + 1129*a - 28225?\nAnswer: 290*a + 1129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (-1)\/(-3) - (-12306)\/378*12?\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2. Let a be 190*(6\/(-4) + 2). Let p(t) = 95 - a - 14*t**2. Give p(f(o)).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/7))**(-9\/10)*a**(-1\/27)*a\/a**(-2\/5) assuming a is positive.\nAnswer: a**(661\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1180 - -515. Let z be 4\/(-6) + c\/(-21). Let h = z + -16. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286481 is divided by 4693?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Put -3, x, -4 in descending order.\nAnswer: x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 234 - -1760741?\nAnswer: 1761075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6688 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166306?\nAnswer: 2, 583153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 10*s + 13. Let z be j(-12). Let l(q) = -5*q - 2. Let o(m) = -14*m - 6. Let y(k) = z*l(k) + 4*o(k). What is y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p - 55. Let m be l(4). Sort -3, m, 3 in decreasing order.\nAnswer: m, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 12*f**2 - 3*f - 7. Let l be x(-12). Suppose 28*i + 5 = l*i. Suppose 315 = 8*j - 4*j + u, i*j - 3*u - 415 = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 3. Give q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -7377*g**2 - 87398*g + 46962*g + 181134*g + 45*g**3 + 92769*g + 20172 + 68621*g = 0.\nAnswer: -1\/15, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 447039.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 20*s**3 + s**2 - 1. Suppose -m = -10*i + 5*i - 34, -2*m = -2*i - 28. Let p(w) = w - 8. Let f be p(m). Determine h(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 9*j**2 + 8*j**2 - 23*j**2 to p*j + t + n*j**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -5*f + 9*q, -2*f - q - 19 = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 86*p. Let m be s(1). Suppose -4*b - 58 + m = 0. Solve b*j - 2*j + 6 = -3*f, j - 5*f + 18 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1511 at least -1511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 + 448 = -7*t. Sort t, 5, -3, 41 in decreasing order.\nAnswer: 41, 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 29576, 1 in increasing order.\nAnswer: 1, 3, 29576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24613 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 2:35 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40612443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)*((m*m**7)\/m)\/m*(m**2\/m)**2 assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632006 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyjj when four letters picked without replacement from jjjjyjjjyj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0084424875 rounded to 5 decimal places?\nAnswer: 0.00844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13926 is divided by 294?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1181*u - 601*u + 630*u to the form z + r*u and give r.\nAnswer: 1210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 32*c**2 + 5*c**2 - 1 - 2*c. Is 12 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017512 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99))**2 + -2 - (-1*sqrt(77))\/sqrt(7).\nAnswer: sqrt(11) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174 + 2101 + 176)*(3*l**4 - 3*l**4 + 2*l**4) + (-3 + l**2 + 3)*(-4*l**2 + l**2 + l**2).\nAnswer: 4204*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -26*z**3 + z**2 - 2*z. Let g be w(-2). What is the highest common divisor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 7*r**2 + r - 7. Let s be t(-5). Let m(k) = 52 - s + 262*k - 47. Is m(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (1 - (-10 + (-6 - -5)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m - 2080 = -24*m. Suppose 5*u - m = -3*u. Let r = 133 - u. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 380, 380, 390, 416, 464, 540, 650?\n\"Answer: n**3 - n**2 - 4*n + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3 - (4 + 5)) + 4 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Let o(c) = 13*c**3 + 5*c**2 + 7*c + 4. Let k(z) = 7*z**3 + 3*z**2 + 4*z + 2. Let l(h) = 11*k(h) - 6*o(h). List the prime factors of l(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81.4 + -81. Let w = 6 + -5.6. Let v = -0.1 - w. What is the second biggest value in -3, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/7, -56?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/14 (b) -2\/63 (c) -0.1 (d) 2 (e) -1 (f) -57.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552\/(-230)*(1 + 8\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103*-11.67.\nAnswer: 1202.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 118*z**4 - 14640*z**3 + 223422*z**2 - 848396*z + 56496 = 0.\nAnswer: 4\/59, 6, 11, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7, -0.12, -2\/15?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6*s - 41. Suppose -g + 7 = -s. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 9*h - 261 = 0. Let t = h - 59. Suppose t - 26 = 2*d. Solve d = -n + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*2*5772\/(-86580)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21883384 greater than 21883382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b9e + -e43?\nAnswer: -2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 12 - 12 + (-9*r + 16*r + 20*r)*(2*r**2 - 3*r**2 + 2*r**2) as b*r**2 + u*r + z*r**3 + c and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 29*u - 80. Let j(y) = -6*y**2 + 31*y - 70. Let k be j(3). What is c(k)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 284808\/5 + -56700. Let s = 261 - u. What is the closest to -0.01 in 1, 0.04, s?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 8 - (-3 + 5). Suppose x - u*x = -39. Calculate the highest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/30996 and 101\/34440?\nAnswer: 309960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l\/(l*l\/l**(3\/4))*l)\/l*l*l**(12\/11))\/(l*l**15*l*l*l*l**(-20)) assuming l is positive.\nAnswer: l**(213\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120256 less than 0.9?\nAnswer: -120255.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*w + 31 - 12, 2*f - 11 = -w. Find the second derivative of -17*d**2 + w*d - d + d + 4*d wrt d.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 - 1438\/(-8). Suppose -g = -0*x - 5*x. Suppose -54*n + 5*n = -931. Calculate the remainder when x is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 7*c - 11. Let u be w(-9). Let z(v) = -13*v - 11*v + 24*v - u*v**2. Let d(r) = -2*r. Calculate z(d(b)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -55, 3 in decreasing order.\nAnswer: 22, 3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + (-6)\/24. Suppose 22*d - 299 + 57 = t. Calculate the remainder when 93 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 + 3 = 4*i, 12 = i - 5*n. Suppose -63 - i = -5*q. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**7\/3780 - v**6\/1620 - v**5\/135 + v**4\/27 - 5*v**3\/3 - 7. Let z(x) be the third derivative of s(x). Factor z(t).\nAnswer: 2*(t - 2)*(t - 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 17*j**3 - 8*j**3 + 101*j - 2*j**3 - 6*j**3 + 4 - 36*j**2. What is the smallest common multiple of 77 and v(33)?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-3))\/(3\/45). Suppose z = -6 + c. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + -24?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 0, 2*m = q + 3*m - 69. Let w = q + -28. Suppose -2*n - 3*n = -a - w, 0 = 4*n - 3*a - 43. What is the greatest common factor of n and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537441851 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126*o - 9*o**2 - 11*o**2 - 5*o**3 - 19*o**2 + 9*o**2 - 98 + 7*o**3.\nAnswer: 2*(o - 7)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 15*d + 51 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 311842*y + 15249. Is b(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 169*c - 17. Let o(x) = 28*x - 1. Let w(y) = n(y) - 6*o(y). Determine w(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 - 11*j + 1. Let s(t) = t**2. Let m(z) = -i(z) - 3*s(z). Let u be m(-9). Let a = u + 23. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2140 + 4284 - 2144 - 678*x**2 - x as t + z*x + q*x**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -34*a**7\/21 + 7*a**3\/6 + a**2 + 71*a. Find the second derivative of o(k) wrt k.\nAnswer: -1360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 37, 102, 223, 418?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 4545 - 4555 = -83*a. What is the greatest common divisor of a and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.63765 to 0 dps.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-45))\/(174\/(-783))*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 343 + -101. Let s be u*(2 - (-21)\/(-14)). Calculate the highest common divisor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + 2*l**4 - 4*l**4)*(1 + 1 - 3) + 2*l**4 + 4*l**4 - 7*l**4 + 116*l**2 + 2*l**4 - 5*l**3 - 116*l**2.\nAnswer: 6*l**4 - 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-39)*(-4)\/10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v - 12*v - 10*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -154456*n**4 - 79413 wrt n?\nAnswer: -617824*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 9) to base 4.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**7\/8820 + h**6\/315 + h**5\/60 - 29*h**4\/12 + 14*h. Let b(s) be the third derivative of z(s). Factor b(m).\nAnswer: 2*(m + 1)*(m + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 3. Let l be o(-5). Suppose -166 + 61 = -21*y. What is the third derivative of 11*n**2 - 2*n**4 + y*n**l - 9*n**2 wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*j**3 - 1\/9*j**2 + 1\/9*j + 1\/9.\nAnswer: -(j - 1)*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.207295 rounded to 4 decimal places?\nAnswer: 0.2073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = 17*u + 456. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86836359 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 356876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -4, 9 in decreasing order.\nAnswer: 9, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bol when three letters picked without replacement from ffeflbolfloooo.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 23, -1\/8, -1\/19, 0.2, -71.96?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45*12\/(-36)*(-56)\/40?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -144414, -288799, -433158, -577491, -721798, -866079, -1010334?\n\"Answer: 13*f**2 - 144424*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsajasxxs. Give prob of picking 1 s and 1 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761232 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x - x)*(x - x + 1 + 2*x**2).\nAnswer: -10*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32133 (base 5) to base 15\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 8:08 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1000 divided by 8\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/109206 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 7. What are the prime factors of o(6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*t = -4*l + 605, 3*l + 5*t = 601. Let o = l + 254. What are the prime factors of o?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6021 is divided by 2974?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25586 - -4437. Let t = 37149 + u. What is t rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575111913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, -5\/116, 6, -0.1, 2\/15 in increasing order.\nAnswer: -11, -1, -0.1, -5\/116, 2\/15, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = u + 10, -3*q + 0 = -2*u - 11. Let j be (-1455)\/(-3) + 1\/u. What are the prime factors of j\/6 - 8\/(-6)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678804321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*50\/1575)\/((-22)\/(-6)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (73 + -47)) + -37?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1775 divide 54755708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/636 and 79\/4.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -1, -10948, 0, 8, -3.\nAnswer: -10948, -3, -1, 0, 1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = b - 5951, 5*s - 6*b = -2*b + 4964. Calculate the remainder when s is divided by 332.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/17)\/d)\/d**(1\/22) assuming d is positive.\nAnswer: d**(-413\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 101*k**2 + 6*k - 6. Let c be b(5). Sort c, -2, 2, 4 in descending order.\nAnswer: c, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - 3ba7d?\nAnswer: -3ba91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2852 = 4*d, 3697 = -3*i + 2*d - 569. What is i rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 1173.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-140)*((-17)\/(-136))\/(3\/(-6)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320 = -120*g + 112*g. Is 28 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 1:01 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 46 + (-49 - -11) - (-70 - 1)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -111*c**2 + 76*c**2 + 67*c**2. Let v(o) = o**2. Determine v(p(y)).\nAnswer: 1024*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8993306 months to years.\nAnswer: 0.15827755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 >= 1256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -90*((-36)\/8 + 5)*(13 - (2 - -10))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 + 21. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (16 - (-11 + 16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-24\/5)*g**(-4\/7)*g)\/(g\/(g*(g\/(g\/((g\/(g\/(g\/((((g\/g**26)\/g)\/g)\/g*g))))\/g*g)))\/g)*g)**(32\/5) assuming g is positive.\nAnswer: g**(5671\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 381*b - 9. Let h(v) = -384*v + 4. Let z(g) = h(g) + r(g). Let l = -16 - -11. What is z(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/6416469 or -1?\nAnswer: 2\/6416469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k. Let b(a) = -35*a - 2. What is 3*b(h) + 5*l(h)?\nAnswer: -35*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6 = 3*p - 11, 3*u + 4*p = 31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-5))\/((-6)\/345). Let g = -80 - -228. Suppose 3*z - m - i = 0, -z - 4*z + 3*m = -g. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 11:21 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/2)\/a**5*a\/a**(4\/7)*(a**(1\/2)*a*a)\/a assuming a is positive.\nAnswer: a**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3244 + 2?\nAnswer: -3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 19*a + 11*a - 43*a + 14*a. Let y(o) = -o - 6. Determine -4*q(g) - y(g).\nAnswer: -3*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 1825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 4, p: 3, v: 2, i: 4}. What is prob of picking 1 h and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 1:45 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -333*p**6 - 2050*p**2 + 1343 + 2049*p**2 - 1425*p**6 wrt p?\nAnswer: -210960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 23\/6*b**3 - 1\/12*b**4 + 3*b + 0 + b**2 - 1\/4*b**5. What is the second derivative of w(u) wrt u?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -25. Let x(p) = -6*p**2 + u*p - 2 - 4*p - 5*p - 6*p. Let g(h) = 5*h**2 + 6*h + 2. Give 7*g(j) + 6*x(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1505.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14931 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -26, -31?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 54*o**2 + 158*o - 291. Determine c(-51).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 27 - 7. Suppose -5*a + 2*a - 5*s + 8 = 0, s = -f*a + 6. Solve 2*i - a = -3*u + 9, -2*i + 6 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + 3*(sqrt(198) + 1*sqrt(198) + sqrt(198)) + sqrt(198) + sqrt(198) - sqrt(198) - sqrt(198))*3)\/(-6*(sqrt(891) + sqrt(891)*-2*-4)).\nAnswer: -5*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/8))**(-2\/33)*t**(-18)\/((t*t*t*t\/(t\/(t*t\/(t**(-8\/9)*t))*t))\/t) assuming t is positive.\nAnswer: t**(-8269\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/580, 3, -0.2 in increasing order.\nAnswer: -0.2, 1\/580, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -38*p**3 - 7*p**2 + 563*p + 157. Let l(u) = 115*u**3 + 20*u**2 - 1690*u - 470. Let d(c) = -3*l(c) - 10*v(c). Factor d(a).\nAnswer: 5*(a - 4)*(a + 4)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197470543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26343646 - -1?\nAnswer: 26343650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ananleanonnoaaeooee?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0, 73, 8 in descending order.\nAnswer: 73, 8, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 17}. What is prob of picking 1 b and 1 g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 2*z + 7. Let b(o) = -2*o + 4. Let p be b(5). Let f(s) = -s**3 + 8*s**2 - 8*s + 6. Let h be f(7). Let r(y) = -1. Calculate h*j(q) + p*r(q).\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -2 (b) 3 (c) -1\/6 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6580 and 1367940?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in 3, 0.5, -2\/3, -6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -110, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 2, t: 6, c: 4, u: 1}. Give prob of sequence tnqq.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*b = -3*b - 13, -2*f = -4*b - 10. Let s = 1 + f. Suppose s = -5*k + 75 - 20. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0, 1, 5190, -0.1.\nAnswer: -4, -0.1, 0, 1, 5, 5190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 - 1)*(-3*o - 2*o + 4*o) + 3*o + 0*o - o)*(-1016 - 16*o**3 + 1016) to z*o**3 + a*o**4 + j + t*o + w*o**2 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -91\/148?\nAnswer: -91\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.2. Let w = -0.6235 + 1.1902. Let o = w + -0.0667. Put l, o, 19 in descending order.\nAnswer: 19, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16814672807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 51034 in increasing order.\nAnswer: -1, 3, 51034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide -4 + (266 - (3 - 3)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19509 is divided by 271.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14332? (a) -0.1 (b) -60 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26564, 26556, 26546, 26534, 26520?\nAnswer: 26504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -40. Let k(c) = -2*c + 97. Determine -k(t) - 5*n(t).\nAnswer: 2*t + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 162?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40207*s = -40187*s - 39800. List the prime factors of s.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2244 and 1020?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*c - 867307 - c**3 + 440*c.\nAnswer: -c**3 - 867307","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {f: 5, n: 1, k: 2, i: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7808 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, 2\/11, -75.3?\nAnswer: -75.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**6\/18 + 7*a**5\/6 - 25*a**4\/12 - 241*a. Suppose i(g) = 0. Calculate g.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 644 + -79. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 335, 671, 997, 1307, 1595, 1855?\n\"Answer: -q**3 + q**2 + 340*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.2139, -2\/3, 2\/5?\nAnswer: -0.2139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/3 = -119841675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -12*j - 3. Let q be m(-1). Is 9 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*z = 24, 2 = -3*z - 4. Which is the third biggest value? (a) 2\/5 (b) 5 (c) 0.3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from {a: 3, n: 5, r: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 31*z + 233. Suppose 0 = -6*p + 553 - 487. What are the prime factors of x(p)?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(42)\/sqrt(6)*6)**2.\nAnswer: 48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Let j(f) = f**i - f**2 + 3*f**2 + f + 3 + f. Give j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -924*a*k**3 - 2*a - 7*k**2 + 110*k wrt k?\nAnswer: -5544*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 63?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l\/(l\/l**(-3)))\/l)))\/(l\/(l\/l**6)))**39*((l**0*l)**(2\/15))**(3\/41) assuming l is positive.\nAnswer: l**(-79948\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0242257 - 0.4\nAnswer: -0.4242257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 25. Let v(j) = -j + 13. Let x(s) = -4*p(s) + 9*v(s). Let i be x(12). Suppose -i*l + 40 = -l. Is l < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*w + 14. Let k = w - -8. Let j = k - 10. What is the smallest common multiple of j and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02286923 rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*d**2 - 323226*a**3*u + 158*a*d*u + 7*a*u + 4*d**2*u - 23*d**2 - 2*u wrt a?\nAnswer: 6*a*d**2 - 1939356*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -451 divided by -368303\nAnswer: 11\/8983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 6*l - 4. Let v be b(-5). Let f = v + -5. Let j = f - -26. Calculate the highest common divisor of j and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - -56 - (2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (103*y - 69*y - 56*y)*(4 - 4 - 1)*(-2*y + y - y)*(-2 - 2 + 2) in the form q + l*y + c*y**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1218847, 1218708, 1218467, 1218118, 1217655?\nAnswer: 1217072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1439841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2. Let n(c) = -494*c + 255*c + 246*c. Determine n(q(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 91*y + 94*y = 0, -3*y = s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8117 - 1082*w**2 - 8117)*(0 - 12 + 0) in the form u*w**2 + l*w + y and give u.\nAnswer: 12984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 7*m + 28 + 9 + 15.\nAnswer: 8*m + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43.9 and -0.02.\nAnswer: 0.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let d(y) = -14*y**2 + 121659 - 18*y**2 - 121659. What is k(d(t))?\nAnswer: -2048*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {j: 3, r: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o + 9 = 0. Let u = -1 + o. Let d(j) = 6*j**2 - 8*j + 1. Let h(z) = -z**2 + z. What is u*d(v) + 14*h(v)?\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12368, 12365, 12360, 12353, 12344, 12333, 12320?\n\"Answer: -y**2 + 12369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i = 0. Suppose 0 = -i*x - 2*x - 140. What is the units digit of (-8)\/(-32) + x\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19184113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 5, 59, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 34335*u + 5 + 34338*u - 4 + 5.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -22. Let u(f) = 1175002*f - 8. Let p be u(w). Round p to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(1300)*2 + -2 - (sqrt(1300) + -2 + 2*sqrt(1300) + sqrt(1300)*1*4)).\nAnswer: -300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/45 and 17\/155555.\nAnswer: 1399995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1861644 + -1861644.03899908. Let s = f + 0.039. Round s to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 11)*(4*s + 0*s - 3*s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9 + 204\/(-108) + 10 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 5*j - 2 - 3 + 11*j**2. Is r(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51\/7? (a) 252.89 (b) 0.7 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*f + 636 = -8*f + 3540 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 - 5*s - 10. Let t(x) = x**2 - x - 1. Let w(v) = -p(v) + 5*t(v). Let a be w(-5). What is the highest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*v + 7, 3 = 184*r - 183*r + v. Let o(k) = -26*k - 4. Calculate o(r).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 2. Let b(z) = 5*z - 9. Let k(v) = -4*a(v) + b(v). Let h(n) = 12*n - 18. Calculate -h(q) + 18*k(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*u**6 + 6*c*u**3 + 2*c*u**2 + 12*c*u - 14*u**3 - 4*u**2 wrt u.\nAnswer: 240*c*u**3 + 36*c - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 635297235 to the power of 1\/2, to the nearest integer?\nAnswer: 25205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1799 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438*u + 230*u - 82*u.\nAnswer: 586*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 27218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58343 + a?\nAnswer: 5834d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+44069678.02\nAnswer: 44069678.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61450 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 2*b - 152 + 52 - 23*b**3 + 3*b + 47 + 54 in the form m*b**3 + a + x*b + i*b**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -8) + (-10 - -5). Suppose s = 43*a - 42*a + 12. Which is greater: -14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1092, -2173, -3254, -4335, -5416?\n\"Answer: -1081*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/10 - -19\/30. Let j(k) = -k - 4. Suppose 2*w + 8 = -0*w. Let o be j(w). Which is greater: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4\/2 + w**3\/2 - 15*w**2\/2 + 7*w\/2 + 1 = 0. What is w?\nAnswer: -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 412 and 73501?\nAnswer: 30282412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/2*15\/(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2\/(-6) - ((-127106)\/42 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/13 - 16*k**3\/13 - 28*k**2\/13 + 96*k\/13 - 54\/13 = 0. Calculate k.\nAnswer: -3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 9*u**2 + 4. Let a be s(9). Let h = -3 - -8. Sort 0, a, h in descending order.\nAnswer: h, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*r + 3*r - 45 = 0, -5*p + 75 = 2*r. Let w = 15 - p. Suppose -6*b + 3*b + 12 = w. What is the greatest common factor of b and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0*3\/9)\/2. Suppose 5*q + 0*q - 15 = 0. Put q, 5, d in increasing order.\nAnswer: d, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - -150 - (-392)\/(-28) is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - x = -22, -5*x + 2*x - 10 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2006*h + 352*h - 8*h + 876*h as j + w*h and give w.\nAnswer: 3226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33894 + 188.\nAnswer: -33706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:43 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -6. Let k(r) = 4*r**3 - 3*r**2 + 8*r - 6. Let t(o) = -o**3 - o + 1. Let b(f) = -k(f) - 6*t(f). Let l(v) = v**3 + v**2 - v. What is z*l(y) + 2*b(y)?\nAnswer: -2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 0.119, -9\/5?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(308)\/(((sqrt(99) - (sqrt(99)*-1 - sqrt(99))) + sqrt(99))\/sqrt(9)))\/(4*sqrt(144)*-2))**2 + -4.\nAnswer: -147449\/36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 6:22 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 32*z - 21*z. Let w be 3\/(z\/4) - 27\/(-1). Solve 5*y - w = 3*n, -y + 0*n - 4 = 4*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 6) to base 13.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -1601*k + 1585*k. Solve 0 = 2*j + 10, f + f - k*j = 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 33.9.\nAnswer: -36.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 - 3. Let z = g - 0. Let f = 63 + -68. Sort f, z, -0.3 in descending order.\nAnswer: z, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 0) + (1202579981 - -22). Suppose 7*m = -20*m - l. Round m to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 4*h**2 + 1. Let z be r(-3). Let j = 25 + z. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m - 80*m + 416 = 0. Calculate the highest common divisor of m and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**4*t + 48600*g**4 - 220997361*t with respect to g.\nAnswer: 12*g**3*t + 194400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183210\/7 + 26173. Let s = -1 + 1. Which is the second smallest value? (a) -1\/2 (b) v (c) s (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 + 246 = 36*j - 149 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.3, -0.2, 0.1, 0.21 in descending order.\nAnswer: 0.21, 0.1, -0.2, -14.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 52*h**3 + 2*h**2 - 4*h + 3. Let u be w(2). Suppose j - u = 527. Is 6\/15 - j\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9395377?\nAnswer: 9395377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = y + 4, -3420*y = -3418*y + 2*b - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850 a factor of 1040463231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*t + 567*t - 612*t.\nAnswer: 274*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/5)\/((-1)\/55). Suppose -2*a + 14 = 8*i - 3*i, -3 = -3*i - 3*a. Let o be (-7 + -9)\/4*(-55)\/i. What is the greatest common divisor of o and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9582 - 130\/(65\/(-5)). What is the highest common divisor of 88 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6105*q - 109933. Determine k(-18).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l, l - 13 = 3*c - 4*c. Suppose 56 = c*n - 5*n. Suppose -634 - 2510 = -n*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-4))\/(7\/21). Which is greater: -9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6)*t**0)**(10\/11) assuming t is positive.\nAnswer: t**(-5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 9*l**2 + 17*l - 59. Let s be y(-13). What is the highest common factor of s and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 divided by 7.\nAnswer: 136\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 6*l - 1. Let r be t(5). Let a be (2 + -1)*r\/(-3). Suppose -12 = 4*z, -a*m + 0*z = 4*z + 2. Solve -1 = 4*s - 3*f, -m + 26 = -4*s - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 29. Let o(s) = 0*s - 28*s**3 + 0*s - z*s**3 - 2*s**2 + 2. Does 6 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, b: 4, s: 1, v: 5}. What is prob of picking 1 s and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 60. Suppose -5*k - z = -3*o, 3*k = o - 2 - 0. Let p(d) = -k + 6 + d + 0 + 2. Give p(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2895.1 rounded to the nearest 10?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2893 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 - 6*n + 9. Let d(g) = g**3 + g. Calculate -6*d(u) - s(u).\nAnswer: -2*u**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*c**2 + 3*c + 417*c**2 - 3*c.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Let m = -3 + h. Find o, given that o**2 + 0 - m + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {a: 1, x: 1, e: 1, o: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 568548173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y + 16. Let b(m) = -m. Determine b(l(w)).\nAnswer: -15*w - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 + 333*r + 127. What is the tens digit of h(45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 4*u**2 + 13*u.\nAnswer: -4*u**2 + 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 9:17 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**6\/15 + a**5\/10 - 1067*a**4\/12 + 17*a**3\/2 + 26*a**2 - 141*a + 14. Find the second derivative of h(d) wrt d.\nAnswer: -24*d**2 + 12*d - 2134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*q**4 - q + 0 - q**2 + 1\/4*q**3.\nAnswer: q*(q - 2)*(q + 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-6)*6\/(-4)*1240\/(-480)*3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -615082 - -2.335161.\nAnswer: -615079.664839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -6.2. Let b = 4 + h. Let v = -22.2 + 21.2. What is the closest to b in -3, 1\/5, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -3 - -1 - -1. What is the second derivative of -1 + 463*b**i - 2*b + 4*b + 2 - 5 - 497*b**4 wrt b?\nAnswer: -408*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 22*j**2 - 18*j - 14. Let a be u(21). Let m(b) = 3*b**2 + 7*b - 12. Let k be m(5). Calculate the greatest common divisor of a and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + -1 + 3)\/1. Let y(z) = -333*z + 3. Let i be y(g). What is the remainder when 2\/7 - i\/(-42) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 2*f - 3*f)*(3*f - f + 0*f) + (-3*f - 3*f + 4*f)*(-2*f + f + 6*f) + f - 2*f**2 - f to t*f**2 + r*f + c and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/11))**31\/(z\/z**21*z*z\/(z\/z**(-8\/5))))**(1\/41) assuming z is positive.\nAnswer: z**(823\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 411 + -82. Let q = i + -180. Let j = q - 149.63. Round j to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98937 is divided by 12952?\nAnswer: 8273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 6486?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3874 and 2086.\nAnswer: 27118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9952 + -2.\nAnswer: -9954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -141, -136, -149, -198, -301?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16367\/15 - -1090. What is the common denominator of 34\/141 and z?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -342 and 8.37.\nAnswer: -2862.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 552.604 years in centuries?\nAnswer: 5.52604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -15*t**2 - 11*t + 11. Let m(w) be the second derivative of -5*w**4\/12 - 2*w**3\/3 + 2*w**2 + 95*w. Determine -11*m(z) + 4*x(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/10 and -19\/3630.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -74 times -2.2\nAnswer: 162.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 20. Let x be n(-7). Suppose 0 = 12*m - x*m. Suppose 2*a = -0 + 6. Is m > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*r - r - 3, -5*q = r + 1. Suppose -113 = y - 3*f, 3*y - 226 = 5*y + 2*f. Let z = 117 + y. Solve q = -w - 3*w + z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/10 + 1396\/15705?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -18*a - 27. Let l(h) = -19*h - 26. Let y(g) = 5*l(g) - 4*t(g). What is the first derivative of y(q) wrt q?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (424\/(-2968))\/((-3)\/(-294))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**3 + 5*n**2 - 3*n + 1. Determine u(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101111110111000001010 - 11?\nAnswer: 100101111110111000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2865 + 119239.\nAnswer: 119244.2865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 + 86. Suppose -201*w - 127*w + 2162 = 24138. Are m and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -55b0a + -10?\nAnswer: -55b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vopkk. Give prob of sequence kvo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*c - 33*c + 1498 = 0. Calculate the remainder when 259 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4416 is divided by 2\/(1351\/(-455) - -3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 i, and 1 u when four letters picked without replacement from {c: 1, i: 3, u: 1}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 + 0*i**2 + i**2)*(-5*i + 6*i - 22*i) + 0*i**3 + i**3 + 4*i**3 as t*i**2 + s*i**3 + b*i + q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33405 (base 6) to base 7\nAnswer: 16442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.623 + 2.38. Round q to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577778511?\nAnswer: 3, 277, 695281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54931 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3 = 5*u + 6, 4*u = f - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -751*p + 756*p + 30 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 689\/65 - 4\/(-10). Suppose 5*h = u*h - 444. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/((3\/12)\/((-35)\/(-140))). What is the third biggest value in -140, i, -2?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (143\/(-33) - 8)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 3*p**3 + 0*p**3 + (1 - 3 + 1)*(-5*p**3 + p**3 + 5*p**3) - 107*p + 107*p - 14*p**3 to g*p**3 + q*p**2 + h + j*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.715 + -573.715. Let h = r + 573.0858. Let c = -0.09 + h. Round c to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(425)*1)**2 + ((2 + sqrt(68))*-3)**2.\nAnswer: 72*sqrt(17) + 15948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 0.2, -0.075, 2\/5, 358, 0.19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3024 - -3037. Solve d = 25*f - 37 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/11)\/((340\/1210)\/17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004184074 rounded to four dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11650 and 1925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(300) + -3 - 5*-3*sqrt(108))**2 + -1.\nAnswer: 400*sqrt(3) + 30003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695.3536ug to nanograms.\nAnswer: 695353.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:08 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -183018*c + 1098186. What is f(6)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 2. Suppose 8*h = n*h. Solve 1 = -k - h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 9*s - 4. Let m be w(-6). Suppose 0 = -3*l + 49 + 8. Let o = m + l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 13708*m**2 - 31285650*m + 23777766144.\nAnswer: -2*(m - 2432)*(m - 2211)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.8 + 13.1. Which is the nearest to 1? (a) 4\/7 (b) q (c) 40 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3801414?\nAnswer: 2, 3, 633569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 11616.\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 8*k + 3. Let x be -3*3115\/(-15)*1. Let p = -617 + x. Determine r(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01389 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -2.2. Let n = d + -2.2. Let m = 12 + -17. What is the closest to 1\/2 in n, -0.3, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 55468231?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1697 - 1694. Let v(t) be the second derivative of 0*t**2 + 13\/12*t**4 + 0 + 4\/3*t**b - 7*t. What is the second derivative of v(c) wrt c?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -618, -1071, -1508?\nAnswer: -1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/5 + 6471*d**3\/5 - 2589*d**2 + 6473*d\/5.\nAnswer: d*(d - 1)**2*(d + 6473)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*f + 382096 = 141*f. Calculate the remainder when f is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5928 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -e6fa8?\nAnswer: e6fa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -664 - -663. Which is the smallest value? (a) f (b) -2 (c) -2\/333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54, 105, 140, 159?\n\"Answer: -8*q**2 + 75*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4822971, -9645945, -14468919, -19291893, -24114867?\n\"Answer: -4822974*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4 - 16\/3*y**4 - 8*y**3 + 26\/3*y + 4\/3*y**2 - 2\/3*y**5 = 0. Calculate y.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -357*o + 3178. Give f(7).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/12 - 6\/(-8). Let n(f) be the third derivative of 0*f - 1\/3*f**g - 4*f**2 + 0 - 1\/60*f**5 - 1\/8*f**4. Let n(u) = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1411*d - 134. What is the tens digit of t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 4*v = 13*z - 12, -4*v = -12. Suppose z = -2*a - 5*s - 12 + 359, 4*a + 2*s - 702 = 0. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-3 + 3) - ((12 - 4) + -13).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 11249.\nAnswer: -2\/11249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 370*q**3 + 366*q**3 - 56)*(5*q**2 - 3*q**2 - 6*q**2).\nAnswer: 16*q**5 + 400*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*l)*(-l**4 - l**3 + l**3) + (-2*l - 2*l + l)*(-3*l**4 - 3*l**4 - 2*l**4).\nAnswer: 21*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 4*x + 2. Suppose 2*g = 5*m - 41, -m + 11 + 11 = -5*g. Suppose m*q - 3 = 6*q. Let s be v(q). Solve 2*f + r - 2 = 0, -2*r = f + 1 - s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - 74. Let y(o) = j*o**2 + 411*o - 411*o. Let p(z) = 3*z. Give y(p(x)).\nAnswer: 90*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1 - 21)*66\/(-44) and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 22842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -406 - -725.5062\nAnswer: 319.5062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 271*(3 + -2 + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 857549.6 microseconds in milliseconds?\nAnswer: 857.5496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 45 = 2*r. Let t = -11 + r. Suppose -t*c + 3*b = -15, -2*b - 2*b = 4. Solve c = -s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 4. Let i(u) be the second derivative of -u**4\/12 - 5*u**3\/3 - 9*u**2\/2 + 364*u - 2. What is i(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 6*u + 2*u + u - 1 + 1 + (-4 + 5 - 3)*(-1 + 1 + 2*u))*(2*u**2 - 2*u**2 - 10*u**3).\nAnswer: -30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**2\/2 - d + 5. Suppose -71*f - 14 = -73*f. Suppose -f*n + 8 + 41 = 0. What is p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1235632 - -4?\nAnswer: 1235636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllulllhuhul. Give prob of sequence hhl.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 296*h + 446. Let v be p(-1). Solve -146*c - 4*g = -v*c + 16, 4*g - 12 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.7 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + -1.97. Let t(n) = n**3 - 6*n**2 - n + 5. Let m be t(6). Let y = -0.2 - -0.2. Which is the biggest value? (a) x (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -1.217, 0.4, -3 in decreasing order.\nAnswer: 0.4, -2\/15, -1.217, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(6\/5)*-3*(-12)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 226 + -223. Suppose 4*q + 2*d - 671 - 311 = 0, -2*d - 747 = -z*q. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372\/147*6\/658?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -3.15\nAnswer: -2.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 97 and 98 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2428*h - 544361 + 544218 + 2426*h.\nAnswer: -2*h - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 199458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-8)\/22)*641. Let a = -42199\/6 + l. Calculate the common denominator of a and 33\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164.00411 - -164. Round x to 4 decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103.208 + 0.092. Let s = b - 99. Round s to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**6\/15 + a**5\/10 - a**4\/6 - a**3\/3 - 40*a + 1. Factor b(g).\nAnswer: 2*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 206703, 827397, 1861887, 3310173, 5172255, 7448133, 10137807?\n\"Answer: 206898*p**2 - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012159 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 302, 142, -12 in increasing order.\nAnswer: -12, 2, 142, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x + 6. Let n(m) = -12*m + 66. Let g be n(6). Let o(h) = 12*h + 7. Let f(c) = g*p(c) + 5*o(c). Determine f(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 8*y**3\/3 - y**2\/2 - y - 2. Let q be a(-2). Is (1 - -1) + q\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2446 + -2393. Let w = 75 + -47. Calculate the remainder when c is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 0.2 (c) 5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**6)\/k*k)\/k*k**(-6)\/k*k*k)**(2\/3)*k*k**2*k\/k**(-4\/9)*(k*k*(k*k\/(k\/(k*k*k\/(k*k**(-2\/5))))*k)\/k*k*k)**(-42) assuming k is positive.\nAnswer: k**(-13756\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31792, 31742, 31678, 31594, 31484, 31342?\n\"Answer: -t**3 - t**2 - 40*t + 31834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 113965?\nAnswer: -4\/22793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*b - 18*b + 6050. Let u = b - 123. Put 4, 1, u, 73 in decreasing order.\nAnswer: 73, 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 5, h: 3, e: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*f - 22, 0 = -2*w + w - 5. Let h = -6 - f. Suppose 3*z = -6, 8 = 2*o + h*z - 5*z. Which is the smallest value? (a) o (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -1\/7, 133?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 54. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 2. Let b = 89 - 86. Determine r(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788558 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1620.3021 months to decades.\nAnswer: 13.5025175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 - 68*n + 31. Determine b(25).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 369*l + 21755. Calculate p(-47).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/291 and 35\/6?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, 13, -1, 2, 725, -18 in descending order.\nAnswer: 725, 14, 13, 2, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*n - 30*n + 235*n)*(n - n + 2*n**2) + 6*n**3 - n**3 - 3*n**3 + (-4 - n + 4)*(n**2 + 0*n**2 + 0*n**2) + n**3 - 2*n**3 + 2*n**3 + 7*n - 7*n**3 - 7*n.\nAnswer: 229*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 245*a + 28623. What is w(-113)?\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*x**2)*(0 - 4 + 3) + x**2 + 0*x**2 + 0*x**2 + (3 + 0 - 2)*(1090*x**2 - 1087*x**2 - 3 - 2).\nAnswer: 2*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97072.\nAnswer: 2, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 - 1.8?\nAnswer: -238.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 5*r + r)*(10 + 42*r - 10) + r**2 - 2*r**2 + 0*r**2 as q + n*r**2 + b*r and give n.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 58912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/40)\/(-27*(-17)\/612). Let p(x) be the second derivative of 0 - 7*x + 1\/6*x**3 + 3\/20*x**5 - r*x**6 - 1\/4*x**4 + 0*x**2. Factor p(m).\nAnswer: -m*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1315234 (base 9) to base 14.\nAnswer: 14a043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (33 - 10) - 21\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 - 4*g**3 + 0*g**3 - 3*g - 3*g**2 - 1. Let a be x(-2). Let p = -125\/3 - -42. Is a greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -258, -291, -324?\n\"Answer: -33*a - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-147)*(264 - 271)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42814847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 23 = 1. Let p(g) = 11*g**3 + 11*g**2 + 3*g - 13. Let c(b) = 3*b**3 + 4*b**2 + b - 4. Let r(h) = 7*c(h) - 2*p(h). Give r(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3306b87 - -4?\nAnswer: -3306b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaxvhvxvxvxxvhxxxxxz. Give prob of sequence vhh.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(sqrt(3) + -3 + 0) + ((2*3*sqrt(480))\/sqrt(10))**2.\nAnswer: sqrt(3) + 1724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 - 0) + 0)*(19 - 0). Suppose -3*w + 4*u - 3 = -4*w, -2*u = 4*w + 16. Let k = h - w. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101850*f**3*i**2 + 1062*f**3*i - 2*f**3*z + 103*f**2*i**2*z - f**2*z - 79*f*i + 2*i*z - 3*i wrt i?\nAnswer: -203700*f**3 + 206*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 38*j**2. Let x(i) = 1290*i. Calculate k(x(u)).\nAnswer: 63235800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - 7. Let s be g\/(-4 - 3\/3). Let p = s + -7. Calculate the common denominator of -93\/8 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-6 - -9) + 4 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6*(3 + -7). Let c(k) = k**3 + 4*k**2 + 2*k - 1. Let z be c(y). Put 0.4, -2, z in decreasing order.\nAnswer: z, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = -30. Let q = j - 15. Let v be (-18)\/(-8) - q\/(-20). Solve v*o - 3*p - 2 = -2*o, 4*o - p - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-84)\/48*(3 - 2)*4. Suppose 0*k - 2*k = 0. Put k, b, -3 in increasing order.\nAnswer: b, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4184 + -596. Suppose -3*q - 3573 = -a - q, -3*q + g = a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 104*b**2 + 2*b + 150. Give y(-52).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -16 - 8. Let n be (-16)\/40 + 2\/20*i. Suppose n = 5*l - 14 - 31. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/8 - 2)\/(17\/(-340)). Let d be (-1)\/(p\/(-10))*-1. Sort 10, d, 5 in decreasing order.\nAnswer: 10, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlaltrttwwtttrr. Give prob of sequence wwrr.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-52)*13\/(-39)*2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2\/7*a**2 - 6\/7*a**3 + 0 + 4\/7*a - 2\/7*a**4 + 2\/7*a**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - 2*d**3 - 3*d**3)*(1 - 2 + 2)*(-4038*d - 1174*d - 2573*d).\nAnswer: 7785*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 - 81 - (9 + (-2 - 0))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137137 and 9009.\nAnswer: 1234233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3*(-6)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15)*p*(p*(p\/p**(-4\/3))\/p)\/p*p**(-13\/3)\/p*p**(3\/13) assuming p is positive.\nAnswer: p**(-231\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ehhhvhhehhehevev.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypp when three letters picked without replacement from pfccpffcyf?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w\/w**(2\/23))\/w)*w**8)**38 assuming w is positive.\nAnswer: w**(7068\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*w, 2*t - 3*w = -0*w + 16. What is the units digit of t*(-9)\/(-6) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 6. Suppose 2*z + 5 + 3 = 2*i, z - 2*i + 9 = 0. Let q(w) = -4 + 1 + 4. Give z*u(p) - 4*q(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2049?\nAnswer: 1\/2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.93 + 2.847. Which is the nearest to 3? (a) 0.2 (b) -4 (c) 5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7389.6 and 0.48.\nAnswer: -3547.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1056140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 347, 376, 399, 416, 427, 432?\n\"Answer: -3*d**2 + 38*d + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 1592*x**3 + 158404*x**2.\nAnswer: 4*x**2*(x - 199)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 3731?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -19. Suppose 3*v - 3 = -15. Are s and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 32*k - 42. Suppose -4*q - 276 = -4*l, 0 = -k*l + 4*q + 252 - 48. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.137 to 1 decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-6*2\/4. List the prime factors of (h\/(-12))\/(1\/68).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 0*x + 6738 - 3373 - 3203 - 17*x. Calculate b(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/2 - 1571*y**2\/2 - 259336*y + 40056466 = 0. What is y?\nAnswer: -842, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let d(t) = -3*t**3 - 2*t**2 + 2*t - 6. Let j be d(-6). Let m be (-315)\/j + (-3)\/(-6). Is w != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557*p - 36 = 553*p. Suppose 2*k + p*c - 4*c = 17, -4*k + 70 = -2*c. What is the highest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6) - -1)\/((-2)\/6). Let r(s) = 6*s + 17. Let c be r(-3). Sort 40, a, c in descending order.\nAnswer: 40, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 13. Let b be w(-6). Solve 5*a + 3*d - b = 0, -6*d = -3*d - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q**3 + 52*q**2 - 2*q + 15. What is the smallest common multiple of y(5) and 126?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2389 - 2387. Let g(h) be the third derivative of 7\/15*h**5 + 9*h**c + 0*h + 1\/3*h**4 + 0 + 0*h**3. Factor g(y).\nAnswer: 4*y*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9098796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 0*k + 0*k + (-2 - 19*k + 23*k + 4)*(3 - 2 + 0)*(297 - 137*k - 297).\nAnswer: -547*k**2 - 274*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.79 less than 24800470216?\nAnswer: 24800470176.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p**3 - 18\/5*p**4 - 2\/5*p**5 + 0*p + 0*p**2 + 0.\nAnswer: -2*p**4*(p + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336069 - 4*d**2 + 336069 - d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v + 393. Determine z(29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:45 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1600\/9 + 11227\/63. Factor -m - 4\/7*f - 1\/7*f**2.\nAnswer: -(f + 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 111 = -t. Suppose t - 268 = -3*o. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000045093382 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 30686 - 175*m - 30686 + m - 1 + 1 - 2*m + m + 2*m + (2 + 0 + 0)*(-2 - 2*m + 2) in the form q + c*m and give c.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1957 - 5900 = -n - 1953 - 1966 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 34*q**2 - 99*q + 2155. Determine a(33).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (3*sqrt(1053) + 2)) + -4)**2.\nAnswer: 216*sqrt(13) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -1130599\nAnswer: 22\/1130599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260041 or 260043?\nAnswer: 260041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16027 is divided by 1457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-54)\/(-97)) + 3. Let g = h - -218\/459. Let l = -0.5 - -0.4. What is the closest to 0.1 in g, -0.04, l?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 j, and 1 w when four letters picked without replacement from mvvvwjvmzzmzvmvmwmm.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/180)\/((-2)\/5)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*x + 45. Suppose 4*g - 15 - 5 = 0. Let f = g + 3. Calculate the remainder when x is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r + 48*r + 1717 = 3*q, 3*q - 1702 = -4*r. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(16*c - 172 + 172) + 3 - 3 - 2*c + 108*c - 179*c + 31*c - 716*c.\nAnswer: -726*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/76*(-2)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105161009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwlwcoc. What is prob of sequence col?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 5*g + 29, 594*g = 590*g - 3*w - 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.37 + -4.4. Which is the closest to 2? (a) -4 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*((-5 + 5 + 2*g**3)*(1 + 3 - 3) - 3 - g**3 + 3 + 21*g**3 - 46*g**3 + 22*g**3).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:42 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(500)*-2 + sqrt(500).\nAnswer: -10*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 516*p*y**3 - p*y - 2*p - 3*y**3 - 37*y**2 - y wrt y.\nAnswer: 3096*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let b(v) = -3957*v + 1980*v + 7 + 1977*v - 4*v**2. Calculate b(o(h)).\nAnswer: -16*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/63, -14, 17\/15?\nAnswer: 17\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34726537.03 rounded to the nearest one thousand?\nAnswer: -34727000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.398193 centimeters in kilometers?\nAnswer: 0.00007398193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence css when three letters picked without replacement from mjggssmsmjjpsgjcjm.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -821, -1, 1\/228?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5 = u + 2, 5*u - 2*n + 21 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*y + 395*y + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x + 5 = 0. Let y(u) be the third derivative of -1\/3*u**3 - 1\/4*u**4 + 1\/120*u**6 + 1\/15*u**5 + 0 + 8*u**2 + 0*u. Calculate y(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37869 and 599107.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 1. Let r(x) = 3 + 2*x**2 + 19*x**3 - x + 14*x**3 - 31*x**3. Calculate -3*o(d) - r(d).\nAnswer: d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14784697679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -31. Let p be (6\/2)\/(-2 - (-14)\/6). Let h be (-184)\/48 + (-2)\/12 + p. Solve -h*i + v = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-234)\/24 + 6 - (-2 + -4). What is the closest to 2\/5 in f, -1, 6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/33)\/((-6)\/(-45)*10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(sqrt(1872) + 0 + -5).\nAnswer: -15 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8.7 - -16\nAnswer: 7.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1488.326 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -23*v**2 - 465*v + 13. Let c be a(-20). Solve 11*i - c = -168 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -3. Let o be 4\/(r\/(6\/3)). Let g(t) = -t**2 - 2*t - 1. Let s be g(o). Sort 5, s, 0 in ascending order.\nAnswer: s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4773309 is divided by 5609.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 - -6) - (-7 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2. Let b(o) = -9668376*o**2 + 36862*o - 18431. Let i(l) = 2623*l**2 - 10*l + 5. Let a(f) = -5*b(f) - 18431*i(f). Calculate a(h(j)).\nAnswer: -10532*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*w + 1233 + 390 + 775 = 0 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11497180 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w - 5*w**3 + w**3 - 48*w**2 + 5*w**3 - 21 + 59*w**2. Let i be n(-12). Suppose -4*q = i*v - 308, -5*q + 358 = -0*q - 3*v. Is q a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 11*n - 35. Let x(c) = -5 + n*c - 23*c - 21*c - c. List the prime factors of x(-3).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(847)*2))**2.\nAnswer: 19\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/(-4) + (-6)\/8. Suppose -c*g + 20 = -12. Suppose 2*o + 0*o - 116 = 3*b, -4*b - 240 = -4*o. What is the greatest common factor of o and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22852 or 23009?\nAnswer: 23009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1203 (base 16) to base 4\nAnswer: -1020003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*f - 248*f + 142*f + (1 + 1 + 0)*(-4*f + f + 4*f))*(0 - 2 + 6).\nAnswer: 88*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41237)\/2580 - 14\/840?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*l - 6 = 0, 38 = -4*c - l + 36 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 158*f**2 - 130194*f + 1630. What is b(824)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 96 - 84 = -3*t, t = 2*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 27*m**2 + m + 232. What are the prime factors of b(26)?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*o + 3*q, 0 = -440*o + 437*o - q - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 0*l - 10*l**3 + 0*l**2 + 7\/6*l**6 + 0*l**5 + 0*l**4 - 12. Find the third derivative of z(p) wrt p.\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 b when three letters picked without replacement from dnxkkxbba?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5 = -35. Let t = 14 - x. Solve -5*n - i + 6*i = 20, -t = 4*n + 4*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 1 - 15. Suppose -k*a - 3*f + 28 = 0, 3*a + f + 1 - 17 = 0. Suppose 0*u + 2*u = 3*j, -a*u + 4*j + 8 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, y: 2, j: 3}. Give prob of picking 1 b and 2 y.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -231 - (-2 - (0 - 0) - -3). Let t = w - -236. Solve 5*o + 1 = t*x + 17, -o = -x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.911 + -0.089. Let x = d + 60.8. Let n = x + -18.913. Round n to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/7 - 23\/42. What is the second biggest value in 1, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) 0.5 (c) 5 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1421, 1725, 6987, 14365, 23859, 35469?\n\"Answer: 1058*t**2 - 28*t - 2451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-3)*1\/(-13). Let o(z) = z**3 + 33*z**2 - 12*z**2 - 28*z - 1 + 6*z. Let u be o(-22). Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 25112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/14960 and -67\/4488.\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 0 - (2 - -1). Let a = -1.1 + 0.8. Let g = -0.7 - a. What is the second biggest value in r, -5, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 3*r + 3. Let d(g) = -g**2 + g - 1. Let h(w) = 3*d(w) + t(w). Let u(z) = -18*z**2. Give u(h(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (551\/8)\/((-225)\/(-20)). Let v = -56\/9 + l. Let w = 0.04 - 5.04. Put w, v, -1\/3 in decreasing order.\nAnswer: v, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 4398728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*k**2 + k - 54?\nAnswer: 90*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168249?\nAnswer: 3, 17, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -171, -273, -395, -543, -723, -941?\nAnswer: -1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let q(v) = 1971591*v. What is k(q(b))?\nAnswer: 1971591*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*d + 7 = -6, 0 = -3*w - 2*d - 1. Let m(g) = g - 2 + 6*g**3 + g**2 + 1 + 0*g. What is the units digit of m(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 + 349\/2. Suppose -24*n = -26*n - 4, 4*n = 4*z + 212. Let q = o + z. Which is the closest to 2\/3? (a) 0.3 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 541020 and 5975985?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = 4*n. Let c be (0 - -2)*n\/(-2). Let b be (-7 + 1)*c\/6. Solve -b*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53585684?\nAnswer: 2, 13396421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-186)\/(-174) + -1 + -44*24\/174.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/3)*x)\/(x\/x**8)*(x**(-1\/3)\/x)**(1\/4) assuming x is positive.\nAnswer: x**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43355?\nAnswer: 5, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100722181.\nAnswer: 7, 97, 148339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 45 = -36. Are -1 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -118\/3 in 5, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-14)*(-112)\/(-12) - -35.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/((-10)\/700). Let q = 95 - a. Calculate the greatest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 27. Suppose -3*d - 5*j - 17 = -0*j, 0 = 4*d - 5*j - 24. Let p = k + d. 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 the value of 5 + -3 + -3 + 0 - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631, 1228, 1825, 2422, 3019?\nAnswer: 3616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 10*d**2 + 13*d - 64. Let w be r(4). Solve w - 79 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38209307, 76418611, 114627917, 152837225?\nAnswer: 191046535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320968?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -66517*1\nAnswer: -66517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34, -24, -2, 38, 102?\n\"Answer: r**3 + 3*r - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-756)\/(-3)*(-77)\/66*424\/1484.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506955126?\nAnswer: 2, 3, 1229, 68749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 33. What is the highest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-22) - (-60)\/33. Suppose -f*u + 3*u - 8 = 0. What is the greatest common divisor of 16 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 + 9888842*g\/3 + 9888844\/3.\nAnswer: -2*(g - 4944422)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 1, p: 1, k: 3}. What is prob of sequence upu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/15)*d)\/(d*d**(-6)\/d*d))**46*(d**4*d*d)\/(d*d**(-6))*(d\/d**(3\/7)*d*d)\/d**(-2\/11) assuming d is positive.\nAnswer: d**(327581\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*m + 8*m - 32*m as y + o*m and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (23*74\/(-127650))\/((-3)\/(-45))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.7, -40, -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*q**4 - 90*q**4 + 5*q**5 - 3*q**5 + 6*q**3 - 14*q**3 + 2*q**5.\nAnswer: 4*q**3*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 22*k + 105. Let c be n(-6). Let g = 144 + -141. Put 2, c, 4, g in ascending order.\nAnswer: 2, g, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19132877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26550 and 13150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8 and -1722801309.\nAnswer: -1722801310.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 3*l**2 + 7*l + 7. Let r be b(-4). Let m be (188\/30)\/(r + (-668)\/(-132)). Let y = 104 - m. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/90)\/((-138)\/(-15))\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12475648 a multiple of 4326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*c - 249*c - 245*c + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**5\/210 + 37*f**2\/2 + 48. Let r(p) be the second derivative of s(p). Factor r(x).\nAnswer: 2*x**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-5 + 16)) + -13 + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9)*o)\/o)\/(o*o*o\/o**24)*(o**(-15)\/o*o)**(-40) assuming o is positive.\nAnswer: o**(5587\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 56 + 10 + -18?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1407728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/7)*y**8\/y assuming y is positive.\nAnswer: y**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/677 + -8795\/2031. Let b = 29\/6 + z. Factor 0*g + 2 + b*g**3 - 3\/2*g**2.\nAnswer: (g - 2)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1 + sqrt(208) - sqrt(208)) + -3)**2*-2 + ((sqrt(208) - (sqrt(208) + 1))*-6 - -3*(sqrt(208) + -1))**2.\nAnswer: 72*sqrt(13) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 4478500.\nAnswer: 17914000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 3*w**2 + w + 1. Let a(i) = -4*i**3 - 15*i**2 + 6*i - 1372. Calculate -a(n) + 5*x(n).\nAnswer: -n**3 - n + 1377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/a**(-4))\/(a**3*a*a**(-5)*a*a)*(a**(-1\/8)*a**4)**50 assuming a is positive.\nAnswer: a**(763\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/170996 and -107\/373512.\nAnswer: 81052104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 78\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349635 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -354 in -3, -2\/13, -251?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 3}. Give prob of sequence ggog.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (-5 + 0 + sqrt(288))) + -4 + -2)*-1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 0.6. Let i be (-4 + 16)\/(4 + -1). Which is the closest to i? (a) 1 (b) -8 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g. Let l(s) = 32 - 17 - 15 - 3*s. What is l(o(u))?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 1\/(-4)*0. Suppose -j - 32 = w*j. Which is smaller: j or -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183*h**3*q + 507*h**3 - 40*h**2*q**2 - 2*h**2*q + h**2 - 2 with respect to q.\nAnswer: 183*h**3 - 80*h**2*q - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h - 20. Let k be z(4). Calculate the highest common divisor of 20 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-858)\/2288*(-56)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19, -4\/9, -0.011426?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21240 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133.073 milliseconds to minutes.\nAnswer: 0.01888455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -147*d**5 - 1281*d**4 + 522*d**3 + 1254*d**2 - 375*d + 27 = 0.\nAnswer: -9, -1, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-11)\/(-7))\/((-6)\/21). Let g be (i - 5)\/(9\/(-12)). Factor -103*v**3 - 19*v**2 + 7*v**2 - g*v**4 + 16 - 16*v + 51*v**3 + 68*v**3.\nAnswer: -4*(v - 2)**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.032 in 0.4, 5, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*a + 0 + 0*a**2 - 3\/2*a**3.\nAnswer: -3*a*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 + 296*a + 4. Let l(n) = n**2 + n + 1. Calculate -i(w) + 4*l(w).\nAnswer: -w**2 - 292*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41531*f**6 + 196*f**3 - 487*f**2 + f + 10285 wrt f.\nAnswer: 4983720*f**3 + 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 64.284?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27305?\nAnswer: 5, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 + 81*o + 31. Let i(u) = -u**2 + 20*u + 8. Let p(x) = -9*i(x) + 2*z(x). What are the prime factors of p(-14)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16*h**2 - h + 2. Let o be w(1). Let m = o + -4. Let y = m - -11. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/5 in 4, 4\/3, -188\/117?\nAnswer: -188\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -110001?\nAnswer: 102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c + 1834 = -87*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32112 and 10258.\nAnswer: 738576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 3 + 2*c**2 - 2*c**2 - 4 - 273*c.\nAnswer: c**2 - 273*c - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*g + 12260070. Let h = g + 559058041\/228. Let a = 9\/76 - h. Find the common denominator of 77\/20 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 3*a**2 + 3*a - 1. Suppose 2*m = 2*x - 4, 0 = -4*m + 5*m + x - 8. Let s be r(m). What is the third smallest value in -2, -2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-0.6596\nAnswer: -0.72556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*g - 240 - 247, f - g = 164. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -79286?\nAnswer: -79285.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 43. List the prime factors of f(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + p + 130221, -4*a - 9216 = -3*p - 113406. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738bd (base 15) in base 16?\nAnswer: 5978e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/29 + 3507\/58. Let h = 3499\/58 - w. Are h and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*t**3 + 11*t**3 - 9*t**3)*(-20*t - 129 + 129) as f*t**4 + x*t**2 + m*t**3 + i*t + l and give f.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, 360, 1012, 1956, 3210?\n\"Answer: 3*h**3 + 119*h**2 - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -10. Let a be 7\/22 - d\/(-16). Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4075764 divided by -145563.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -65*q + 7. Let v(c) = -1253*c + 133. Determine -77*d(u) + 4*v(u).\nAnswer: -7*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10931 + (72\/8 - 4). Suppose -18*t + 98 = -m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40 + 262 - 46 + 6*t**4 + 66*t wrt t?\nAnswer: 24*t**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:02 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {l: 3, j: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 209*q - 52915. Determine w(253).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 7. Is (-3090)\/z*2\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/10, 22, -186, 2\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8941 = 3*h - w, -5958 = -2*h - 4*w. Suppose 0 = -5*q + 3294 + h. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348143918?\nAnswer: 2, 17, 10239527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 64 = -30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -42567550.\nAnswer: -3\/42567550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.6 - 37.1. Which is the second smallest value? (a) 0.2 (b) -5 (c) -8 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -4 (c) -1\/7 (d) -1\/5 (e) -1090\/7 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128*(-27)\/4320*140\/(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -2\/17 (c) -5 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 6*u**3\/5 - 717396*u**2\/5 + 4235082216*u + 16109578543632\/5 = 0.\nAnswer: -742, 60154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3097 (base 10) to base 14\nAnswer: 11b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 330*g - 2718. Let m be i(9). What is the highest common factor of 16884 and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*m**4 + 1141*m**3 - 1141*m**3 + (2*m + 2*m - 3*m)*(-4*m - m**2 + 4*m)*(-1 + m + 1).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 20 = 2*d. Solve 1 = u - d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13315 or 13316?\nAnswer: 13316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (20 - 13) - (7 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 1, 2\/3, -118, 0.04.\nAnswer: -118, -0.1, 0, 0.04, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 0*q**2 - 8*q + q**2 + 3 - 2*q**2. Let n = -205 + 198. Let h be p(n). Calculate the greatest common factor of 15 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 57*t - 75*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 211*a**2 + 42625*a + 582. What is r(-202)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 - 43?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 46*o**2 + 94*o + 97. Let p be m(48). Let w be (-2)\/(-3) + (-4)\/6. Sort 25, p, w in descending order.\nAnswer: 25, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 9 = -0*u. Let m = 7 + u. Put m, 9, 0 in decreasing order.\nAnswer: 9, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102306 is divided by 825.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-45)*605\/(-88))\/(1\/4).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrdddrrdrdrdrrrdrdd. What is prob of sequence rd?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -14*a**2 - 5*a - 9 + 16*a**2 + 9. Let t(r) = r**2 - 4*r. Give -4*d(x) + 5*t(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867568770.\nAnswer: 2, 5, 186756877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**3 + 45*t**2 - 70*t = 0. What is t?\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/((-13)\/26). Suppose -32*l - l - 165 = 0. Sort l, d, 10, 0 in decreasing order.\nAnswer: 10, d, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/406 and 163\/168.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4\/3 - 134575*p**3\/3 - 1076657*p**2\/3 - 314027*p = 0.\nAnswer: -7, -1, 0, 134583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 14 - 4. What is the remainder when 32 is divided by (p\/(-3))\/(4\/66)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -60. Suppose 33 = -5*i + v. Solve -4 = 2*b - 3*s, -2*s + i = -s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 - 1062 = -58*t + 124*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -5*o**2\/2 - 17*o - 15. Let a be n(-4). Find m, given that -m - 7\/2*m**4 - 3\/2*m**2 + 6*m**a + 0 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203843, -203857, -203885, -203933, -204007, -204113, -204257, -204445?\nAnswer: -204683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 2 in increasing order.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = m + 3, m - 2*m - 10 = 5*c. Let p be (-31)\/2*(-7 - (m - 0)). Find the common denominator of p\/24 - (-1 + -2) and -19\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*k - 5. Suppose 0 = k*n - 43 + 414. Let o = n + 228. Does 35 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 100 = 15*r. Let i = r + 155. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6500 divided by 250\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvrvrv. What is prob of sequence rrvr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26442903 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**7*v)\/v))\/(v*v*v**25))\/((v**(1\/5)*v*v)\/v**(2\/19)) assuming v is positive.\nAnswer: v**(-3334\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 - 3)*(3 - 3 + 3*c) to t*c + f and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8840\/(-6188))\/(15\/(-315))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -256, 3, 716, 2111, 4416, 7859, 12668, 19071?\n\"Answer: 38*l**3 - l**2 - 4*l - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 21*f - 11. Let m be y(-6). Let j = m + 230. Suppose n - 40 = 3*c + j, 3*n + 5*c = 441. Calculate the remainder when n is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -3501 - -8630. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7549853023.\nAnswer: 3257, 2318039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - -37. Let b = j - -74. Solve -b*i - 15 = -0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144450.6204 - 62.3\nAnswer: 144388.3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14060 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9386687.\nAnswer: 317, 29611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 15661*j - 281912. What is l(18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2647909 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: Suppose 2*j = -0*j. Let v(w) be the third derivative of 1\/20*w**5 + 0 + 2*w**2 + 0*w + j*w**4 + 0*w**3. Let r(i) = -i**2. Determine r(v(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtyyi. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196541077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 51682 - 25834 - 6*x**2 - 25848 - 4*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -321928, -321905, -321880, -321853?\n\"Answer: c**2 + 20*c - 321949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*a - 4*g, -2*g = -0*a + 3*a - 40. Let l = 42 - a. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111001111 (base 2) to base 13\nAnswer: -5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 + 1205. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and (-2)\/(-3) + 110\/15.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/104 and 79\/80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 12:06 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 15*b + 42. Let q be v(-11). Let g be (-6 - (-36)\/6)\/(q + 1). What is the derivative of -12 + g + 19*x**3 + 11 - 12 wrt x?\nAnswer: 57*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*d = -5, 13 = 2*u - 4*d - 13. Suppose p - 2*p = u. Does -4 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*x + 8, -4 = 2*v + 2*x - 8. Which is the third biggest value? (a) -3 (b) v (c) 2\/59 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 29*v**3 - 9*v**2 + 54*v + 47. What are the prime factors of f(6)?\nAnswer: 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 410, -2\/3, -97, 1\/8, -3 in ascending order.\nAnswer: -97, -3, -2\/3, 1\/8, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167\/(2004000\/(-192)) - 988\/750?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + (36 - (0 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322067485?\nAnswer: 5, 53, 1215349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 156576a3?\nAnswer: -1565769a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213219, 213217, 213215, 213213?\nAnswer: 213211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465*q**3 + 364*q**2 + 2*q wrt q.\nAnswer: 2790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12\/65?\nAnswer: -12\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -369 (b) -1 (c) -4\/5 (d) 2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320551 divided by -23.\nAnswer: 13937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**8\/84 + 4*w**5\/15 + 3*w**2. Find the third derivative of c(l) wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 64*g - 208 + 1692 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 76 = 4*n, -2*n + 44 = 4*w - 3*w. Suppose 3*u - 8*z - 1 = -7*z, 0 = 3*u - 4*z - 4. Solve u = -3*m - n + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2804169ug to milligrams.\nAnswer: 0.0002804169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.4, -0.5, 1048\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 1\/3*o**3 + 0*o - 1\/3*o**5 + 0 - 1\/3*o**2 + 1\/3*o**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 16, 22, 26, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 35c1?\nAnswer: -35bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -2\/7, 2537, -1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 3*d - 943 + 955, 24 = -4*g + 6*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 554241?\nAnswer: 554234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2. Let m be 0\/(-1*(-3 + 5)). Let s(q) = m + 0 - 3*q + 8*q. What is s(w(i))?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1 (c) -0.05 (d) 19.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -1 + -2 - (-480 - -466) - 33.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, -0.05, 2, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - -1573?\nAnswer: 158b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6818*y**2\/5 - 61314*y\/5 - 432\/5.\nAnswer: 2*(y - 9)*(3409*y + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/13 + 290734*r**2\/13 + 581474*r\/13 + 290738\/13 = 0. Calculate r.\nAnswer: -1, 145369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h. Let y(v) = -29*v**2 + 32*v**2 - 84*v**2. What is p(y(x))?\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1731, 2, -1, -2.\nAnswer: -1731, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) 3 (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*i + 7*i + 129 = 0, 2*l = -3*i + 232. Suppose 4*f + l = -3*b, 3*f + b = -0*f - 93. What is the tens digit of f\/(-3)*36\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*w**5 + 3 + 207*w**2 + 3*w**6 + 31*w**5 - 3 + 48*w**4 wrt w?\nAnswer: 360*w**3 + 1152*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*f**4 - 3*f**3 - 40*f**2 - 2596 with respect to f.\nAnswer: -48*f**3 - 9*f**2 - 80*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -4. Suppose d*o - 22 + 6 = 0, -16 = -2*w + 2*o. What is the remainder when 23 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/6*(-6080)\/(-2280).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2299 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-605)\/429*(-522)\/(-638)\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -254 - 60?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 10:07 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (252\/52 - 2). Which is the nearest to -2? (a) -0.3 (b) -3\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19374 + 19739. What is the remainder when k is divided by 86?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 0 (c) -3.7 (d) -0.2 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/(32\/4640). Let t = -61 - -123. Let l = t + q. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 8*a - 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23409949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212102 (base 3) to base 15.\nAnswer: -2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6616 = 528*q + 2519 - 9631 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*i + 408 + 349, -4*l + 761 = i. Suppose 0 = -11*u + 6*u + l. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3408 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/5 - 8*w**3\/5 + 4*w**2\/5 + 6*w\/5 - 4\/5 = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/918876 and -127\/1050144?\nAnswer: 7351008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(8\/3)*o**(-4\/9))\/(o**(-12)*o**4\/o) assuming o is positive.\nAnswer: o**(101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11909 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*(s\/((s*s**(-8)\/s*s)\/s))\/s*s*s)))**(10\/3)\/(s**(2\/21)*s*s\/s**(-14)*s*s) assuming s is positive.\nAnswer: s**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4*j**2 - 33*j**2 - 7 + 9.\nAnswer: -37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/((-2)\/153 + 0). Let b(z) = -20*z + j*z - 14*z - 16*z. Let k(l) = 48*l. Calculate k(b(v)).\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 - -165188\/621. Does 0 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1295 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 3927*c - 467*c - 9 - 1604*c.\nAnswer: -5998*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**5 + 82*k**4 - 467*k**3 + 1074*k**2 - 900*k + 216 = 0.\nAnswer: 2\/5, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 11, -4, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -14. Suppose 3*d - b = 0, 5*l + d + d - 34 = 0. What is the remainder when 10 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13517\/1176*12 - (-1)\/14 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 + 150 = w + 324 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u - 40. Let r be b(8). Suppose -d + r = -36. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2504 - -199487. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2 + 6*i + 0*i + i**2 - 2*i**2. Let u be a(5). Suppose 5*x - u = 4*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**3 - 16*q**2 - 65*q + 9. Let n(a) = 59*a**3 - 63*a**2 - 261*a + 33. Let k(j) = 22*d(j) - 6*n(j). Factor k(i).\nAnswer: -2*i*(i - 17)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.09 (c) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, c: 3, b: 3}. Give prob of sequence cnnc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 1, -12, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/39 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 213792.\nAnswer: 1496544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 3 + 0 + 2. Let z(o) = o**3 - 2*o**2 + 2. Let g be (-221 + 215)*(-2)\/(-12). Give g*z(f) - 2*k(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(2\/3)))\/b)**(-25)\/(b**(2\/15)\/(b*b**(-2\/3)*b*b)))**(-12) assuming b is positive.\nAnswer: b**(-632\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a meter in micrometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15614 + -6846. Let g = -70239\/8 + p. Calculate the common denominator of -9\/8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090942881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkww when four letters picked without replacement from wmmmwmmmkmwmmmmm.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 34, -4, -1, 5.\nAnswer: -25, -4, -1, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, s: 3}. Give prob of picking 1 s and 2 k.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r. Suppose -4*l + 3*s = -9, -6*l = -4*l + 5*s - 11. Let j(g) = 3*g - 6*g + l*g - 4*g. What is c(j(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlukljzzzlguz. Give prob of picking 1 l and 1 u.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -9 + 3 + 65. Suppose 9*y = 6*y + s. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*q**2 + 29*f - 2*q**4 - 2457*q - 483 wrt q?\nAnswer: -2*f*q - 8*q**3 - 2457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/135)\/(-4*1\/(-40))?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-6))\/(2\/(-8)). Suppose -4*p - 3*a = -4*a - 96, x*p = 3*a + 38. Calculate the highest common divisor of 25 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1605427, 1605257, 1605087, 1604917?\nAnswer: 1604747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -10 - 4 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3291315135 to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 17*t + 133. Calculate m(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -45, -67, -79, -75, -49, 5, 93?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 5*k = -3906. Let h = k + -173. Calculate the greatest common divisor of h and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-61040)\/(-42)*(-1215)\/(3*-1). What is i rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1586 or 1588?\nAnswer: 1586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Let w = 4 - a. Suppose 0 = -3*f + 4*u - 12, 5*u = -4*f - 3 + 18. Solve -l + f = w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1520 divide 84069680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217632 and 252384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 747.5 + -12.9. Round x to the nearest ten.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 * 0.1.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/18)\/(50\/225).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 18 = -u + 1, 2*u + 4*i - 74 = 0. Let y = u - 26. Suppose 5*b - 508 = q, -y*b - 4*q - 24 = -517. List the prime factors of b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 3470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/2970 and 123\/20900?\nAnswer: 564300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64401606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = b - 8*b. What is the smallest common multiple of ((-22)\/1)\/((-2)\/4) and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 - -8.8. Is 0.1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7 - (43 + -48)) + 6 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10647210181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 733 and 2?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4969, -19478, -43525, -77110, -120233, -172894, -235093?\n\"Answer: -4769*g**2 - 202*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:28 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a - 5. Let j(z) = -2*z - 3304. Calculate d(j(t)).\nAnswer: 6*t + 9907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40064.2586853 + -41495.258687592. Let l = j - -1431. Round l to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1281923828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -13*x - 8. Let z be 26 - (40\/x)\/4. Suppose -z = -5*b + y - 0*y, -2*b + 7 = y. Solve b*w - 4*n = 0, -3*w + n + 16 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = 15*h. Let s(l) be the first derivative of h*l - l**2 + 1\/3*l**3 + 2. What is the second derivative of s(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1978*o + 3. Let n(k) = 226*k. Give n(a(v)).\nAnswer: -447028*v + 678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyygy. Give prob of sequence yyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*r + 23 = -3*r, -5*o - 45 = 5*r. Let x(v) = -3*v - 4. What is x(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758 - 573 + 1169 = -18*b. Let n(d) = -d**3 + 5*d**2 + 38*d - 5. Calculate n(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.10455 - -0.1047449. What is d rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1547061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 75507.52 years?\nAnswer: 7550.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -2\/3, 1\/3, -2\/15, -0.07, 3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012 - 21?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t - 3*t)*(-1 - 4 + 3)*(3 - 2 + 0)*(-32 + 3 + 1).\nAnswer: 112*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epe when three letters picked without replacement from {e: 2, p: 5, w: 4}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 9 + 7*o + 26)*((6 - 4 - 4)*(-1 + 1 + 1) + 4 - 1 - 2) to t + l*o and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/3)\/v)**37\/(v*v**(-1\/4)*v)**50)\/(v**(-8\/3)\/v*v\/(v\/(v\/(v*v**(-6\/7))))*v)**(-31) assuming v is positive.\nAnswer: v**(-1665\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -357 + 624. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 1875187\nAnswer: -63\/1875187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6, -3, 0, -5 in decreasing order.\nAnswer: 6, 0, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 44 - (-1 + 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/(-20)*(-2)\/5. What is the highest common factor of 5 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -102*p**3 + 108*p**2. Let t(r) = 68*r**3 - 72*r**2. Let z(g) = 5*s(g) + 8*t(g). Find the third derivative of z(u) wrt u.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74359 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: Collect the terms in -5*c + 9*c - 478*c**2 + 23*c**2 + 426*c**2 + 30*c**2 + 13*c.\nAnswer: c**2 + 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 greater than 0.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 38 = -4*w, -3*w - 30 = -3*d - d. Let n(z) = -z**2 + 6*z + 8. Let t be n(d). Let s(m) = -m + 11. What is the units digit of s(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*((-21)\/36)\/(-7). Let k = -73421318\/6097 + 156555\/13. Let s = k - 4\/67. What is the second biggest value in -3, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12 + 14)\/(2 - (-813)\/(-408))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117165343907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 609227699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 14*v + 3. Let k be z(-23). Suppose 0 = -4*n + 2*h + k, 0*h + 54 = n - 2*h. Suppose n*c + 123 = 53*c. What are the prime factors of c?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) - 2*sqrt(121)*1) - sqrt(121)) + -5*1*sqrt(121))\/((sqrt(121)*-2)\/sqrt(11) - (sqrt(110)*2 - sqrt(110))\/sqrt(10)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4784856346 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7 = 4*y. Suppose 3 = -2*n + y. Sort 5, 2, n, -1\/9 in descending order.\nAnswer: 5, 2, -1\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Suppose -h = -2*k - 2*x, 0 = -5*k - 3*x + 3 + 10. Suppose -s - 17 = 3*q, -4*s = s - k*q - 15. Is s at least -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (12 - (-14 - -42)) + 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 22*o + 23. Determine g(-25).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14890 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4302 (base 7) to base 2\nAnswer: -10111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyry when four letters picked without replacement from {r: 3, y: 12}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {t: 3, m: 1, d: 3, g: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -63, 2?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -11*h**3\/6 + 10*h**2 + 13*h. Let j be s(12). Round j to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 88*v**2 + 182*v + 917. Give m(85).\nAnswer: -5288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -625 - -666. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 4*d - 3*d + (-3 - 1 - 6)*(2*d + 3*d - 3*d) - 2*d + 2*d - 2*d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:18 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 210 in -2, -0.2, 3, 0.19, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -480 - -780. Suppose -2*l + n = 8*l. Calculate the greatest common divisor of 135 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r - 3. Let v(h) = 5*h + 2. Let f(w) = 2*p(w) + 3*v(w). Let q(i) = -192*i**2. Give f(q(g)).\nAnswer: -192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**5 + 12*g**3 - 10*g**2 - 345*g?\nAnswer: -60*g**3 + 72*g - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.5, -0.6, -1\/3, -160?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 1:08 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2014241 (base 6) to base 10\nAnswer: 95569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:30 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*q**4 - 109*q**2 - 2*q**5 - 76*q**6 + 98*q**4 - 4*q**5 + 5*q**5 wrt q.\nAnswer: -9120*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-93 + (-49 - -10) - 24).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/((-3)\/(108\/(-8)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -1a?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - (-1271)\/1640. Which is the nearest to 0.1? (a) t (b) 1\/3 (c) 9\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*b + 16, 6 = -2*b + 6*b + 3*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4bd650 (base 16) to base 6.\nAnswer: 254305320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3496319*m**2 + 8029895*m wrt m?\nAnswer: -6992638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1753 or 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 3 + 12 - (-19 - -11)) + -73?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**3 + 24*w**2 - 2*w + 6. Let v be p(-8). Let m = -7 + 6.8. Let k = m - -1.2. Is k bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24075\/(-1498)*(-2)\/10)\/(6\/8)\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13919276466 plus 11?\nAnswer: 13919276477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -54. Let m(l) = -4*l**2 - 47 + l + s + 3*l**2. What is m(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p. Let m be (-4)\/(-6)*(8 - 5). Let k(b) = 3*b**2 - 4 - 2*b**m + 4. What is k(l(v))?\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13346 + 26013. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 17. Suppose 4*w + b = 5*w + 5*v, 2*w = 5*v - 11. Let a(q) = -w - 2*q**2 + 2 + 0*q**2. Let f(r) = -r. Determine f(a(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - o**2 - o + 1. Let v(u) = 72*u**3 + 16*u**2 + 16*u - 16. Suppose 3*i + 75 = 8*i + r, 3*i - 28 = -4*r. What is i*m(c) + v(c)?\nAnswer: 88*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/20*-5620*12. What is the highest common divisor of a and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i - 15*i + 4*i**2 + 12 - i**2.\nAnswer: 3*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/30 + d**4\/12 + d**3\/6 - d**2. Let a = 736 - 737. Calculate i(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2422, 3\/13, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -362?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 930168*c*q**3 + 1425305*c*q**2 + 2*q**3 wrt q.\nAnswer: 5581008*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -10)\/(8\/84 - 2\/(16 + -4))?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**2 + 7*q - 3. Let k(w) = 16*w**2 - 20*w + 8. What is 5*k(m) + 14*v(m)?\nAnswer: -4*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 13*v + 9. Let o be (8\/(-3))\/((-2)\/(-9)). Calculate m(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 27*y**5 - 918*y**4\/5 - 11706*y**3\/5 + 10284*y**2\/5 + 6027*y\/5 - 3822\/5 = 0?\nAnswer: -7, -2\/3, 7\/15, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 664 + -332. Suppose 8*m - j - 164 = 0. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 9*k**5\/20 + 3*k**3\/2 - 3*k. Let l(x) = 3*x**3 + 3*x. Let p(h) = 11*l(h) - 4*s(h). Find the second derivative of p(m) wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21849 + -43?\nAnswer: 21806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -897, -907, -925, -951, -985, -1027, -1077?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {n: 3, y: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 316766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 0*h - h)*(-2*h - h + h) - 2*h**2 + 2*h**2 + h**2 - 4 + 4370*h**2 - 19251*h**2 + 4 as y*h**2 + l*h + b and give y.\nAnswer: -14878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a + 1. Let m be z(8). Suppose 0 = 3*u - 2*o - 16, -2*o = -4*u + 3*o + m. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.09, 2, -1\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3111)\/(-122))\/((-27)\/3)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(n - n + n)*(-1 - 26*n**2 + 23*n**2 + 196*n - 164*n).\nAnswer: 6*n**3 - 64*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*q + 214 = 181*q. Suppose -4*h = -q - 482. What are the prime factors of h?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 837 and 106191?\nAnswer: 3291921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/10*(5 + (-25)\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 2*a - 4*r + 169 - 121, 3*a = 5*r + 4 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/83, 3\/8, 461, -6\/5?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-2))\/(z**(3\/4)*z)*(z*z\/((z*z*z**11*z)\/z)*z)\/(z\/(((z\/z**(2\/5))\/z)\/z)))**(5\/11))**29 assuming z is positive.\nAnswer: z**(-8207\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*g + 4 = 0, 0*g - 3*g = -5*t - 6. Let x = 7 - 3. Suppose -x*u = -t*u - 8. Solve 4*i + j + j - 12 = 0, 0 = -3*i - u*j + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 502084494.01564.\nAnswer: 502084490.01564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15947, -31896, -47845, -63794, -79743?\nAnswer: -95692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 > -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23459441 + -12763559. Let k = 5255882 - o. What is k rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 277075, 1108276, 2493597, 4433026, 6926551, 9974160, 13575841, 17731582?\n\"Answer: -2*x**3 + 277072*x**2 - x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80.85847 and 0.06.\nAnswer: 4.8515082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13532454 (base 7) to base 5.\nAnswer: 311044044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-6) - -2) + 16\/12. Let s be 6 - 3 - (r - -1). Solve s = -3*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 - (9 - 13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 540256831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -21792279?\nAnswer: -21792278.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597942 is divided by 49828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 7:32 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000179 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwngxxnnxdndgxi. What is prob of sequence gnd?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m. Let l(p) = -17*p. Let t(b) = -21*k(b) - 6*l(b). Let w be t(0). Let x be -1*2\/8*2. Is x > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134131252 (base 6) to base 14.\nAnswer: 50a772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83.261382 - 110.\nAnswer: -193.261382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356027307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1415\/15 - (-1)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 850 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + 2. Suppose -h + 24 = 5*j, -z = 5*h - 2*j + 3. Let t(y) = -5*y - 2*y + 0 - 1 + 5*y. Let b(k) = k. Give h*t(v) - 3*b(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 5*i**8\/2016 + i**7\/70 + 17*i**6\/720 - i**4\/36 - 13*i**2. Find z such that v(z) = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(744\/(-4092)*1*11)*-4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/31, -5, 8, -98?\nAnswer: -7\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**3\/3 + 4*i**2 + 9*i + 146. What is q(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 15) to base 4\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.01426 times -70\nAnswer: -0.9982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2128429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -14, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/619561?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 30 - 24. Let z(j) = 7*j**5 - j**4 + j**3 - 3*j**2 + 6*j - 6. Let a(k) = k**5 + k**3 + k - 1. Let b(t) = p*z(t) + 6*a(t). Solve b(y) = 0 for y.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + q + 13 + 22 - 4*q. Let s be r(8). Sort s, 0, 2 in decreasing order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1216.07 millimeters to meters.\nAnswer: 1.21607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = k + 16, 4*k + 32 = -k + 4*d. Let u = k + 8. Suppose u = -2*o - 4*m + 2*m, -3*m - 35 = -4*o. Solve 5*v + 20 - o = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097636?\nAnswer: 2, 59, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 2 j when four letters picked without replacement from {b: 1, y: 5, j: 7, v: 6}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4896789 rounded to 2 dps?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:44 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + 5 + -2)\/((-1)\/(-3)). Suppose -5*i + s = -49, -11*i + p = -7*i - s. Calculate the greatest common factor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 615240184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 41 - ((0 - 3) + 21 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1174.\nAnswer: -3\/1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 54*h - 660. Solve -d - 2*o - 2*o = h, o + 10 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from kcckkkkccckk?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36174307?\nAnswer: 13, 97, 28687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*l - 87*l = -24. Solve -l = -2*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8328 is divided by 1898.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 9.5, -0.4 in descending order.\nAnswer: 9.5, -0.4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -333, -1285, -2751, -4635, -6841, -9273, -11835?\n\"Answer: 16*g**3 - 353*g**2 - 5*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671.2672l to millilitres.\nAnswer: 671267.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, s: 5}. What is prob of sequence vvv?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -131*k**7\/105 - 967*k**4\/12 - 157*k**2. What is the second derivative of l(f) wrt f?\nAnswer: -3144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584*j + 3712*j = 1841*j - 10332 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 9 + 6. Let z = l - -11. Is -4 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2020366 is divided by 505084.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = 12. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11027 is divided by 325?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38a43 (base 11) to base 5.\nAnswer: -3241303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*c - 22*c + 13*c + 19825515. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 18 + 19 - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -2.8. Let z = -124 - -128. Suppose u - 7 = 3*q + 2, 0 = z*u - 12. What is the third smallest value in -3, q, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -144450 and -85087766.\nAnswer: -85232216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*a + 10 = -42, 5*k - 3*a = 221. Suppose 4*d = k + 182. Suppose 2*x - 5*r = d, -r - 42 = -4*x + 27. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b1 - -3413?\nAnswer: 36c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)\/(-5 + 126\/30). Let u = -3 - -3.2. Which is the fourth smallest value? (a) -0.5 (b) -4\/9 (c) j (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119 - -109) + (3 - 2 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1644552)\/910)\/(-251)*(-6)\/(-8)?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102 times -103?\nAnswer: 10.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18953261.9 rounded to the nearest 100000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*m + 3 = 0, -m = -5*a + 3*m + 5. Let l be (-1 + 4)\/a + -1. Let z(f) = f**2 - f**l + f**2. Let i(n) = 3*n. What is z(i(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b = 60*b. Solve -2*z - 2*r + 16 = b, 4*z - 9 = z + 2*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -38.29.\nAnswer: -421.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 15*c**2 - 12*c - 41. Let g be t(17). Let r = g - 315. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 7 - 2*j + 10*j - j. Let m(s) = 23*s - 20. Determine -6*m(l) + 17*x(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 150*i**2 + 2076*i + 32. Determine p(-14).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0 - 1\/2*l**4 - 4*l - 1\/3*l**3 + 3\/2*l**2. Let a be 1 + (-3 - 10\/2). Let j(d) = -11*d**2 - 4*d + 5. Give a*u(k) + 4*j(k).\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -881 - -880.99299. What is o rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 12\/7, -2, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 11. Suppose -7 = m*i - 27. Let h be (-468)\/1248 - 43\/(-8). Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538166 is divided by 28324.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 - k + 2. Let q be t(0). Suppose 0 = -6*u - q + 20. Suppose 0*s = u*s + o - 161, -5*s - 4*o = -259. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 573*x + 3351. Give i(-6).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 5747 = 5652. Let h(u) = -21 - 23 - 15 + 11*u - u**2 + 55. Determine h(o).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16633.\nAnswer: 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(4 + 44\/(-12)). Suppose x = 4*c + c - 3*f - 41, 5*c - 39 = 2*f. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135425796 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1270 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 598, 2417, 5440, 9661, 15074, 21673, 29452, 38405?\nAnswer: 48526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24333105 (base 6) to base 14\nAnswer: 162305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 - 4*y + 2. Let j be 2 + (-3)\/(-9)*15 + -5. Calculate v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 77, -27 in decreasing order.\nAnswer: 77, -27, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/3 + 3718*o**2\/3 - 582736*o + 6261024 = 0. What is o?\nAnswer: 11, 924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110428 divided by 4.\nAnswer: -27607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*t**2 + 42*t**2 - 25*t**2 + 2*t**2 + 2*t**2 - 3*t**2 + (5*t - 3*t - 4*t)*(-3*t - t + 2*t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335 + -329. Suppose -43 = -3*q + 2*s - 3*s, 0 = 3*q - 2*s - 40. Calculate the remainder when q is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 4*t + 2*m, 2*m + 340 = 5*t - 0*t. Let l = t + -57. Is l equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 33, 87, 173, 297, 465, 683, 957?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 111924 = 2*q - 0*q. Is 39 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8965 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u + 49*u**2 - 40*u**2 - 4*u**5 - 2*u wrt u.\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4241.\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {s: 6, l: 3, x: 1, y: 2, r: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 3*o + 33. Let g be c(14). Let s = -116 - g. Solve 0*y - 12 = -4*r - y, r = -s*y - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 5*r - 5*r)*(-2*r - 2*r + 6*r + 0*r - 4*r + 3*r + (-r - 4 + 4)*(3 - 2 + 1) + 0*r + 9*r + 8*r).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-52)\/(-5))*(-130)\/325\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75669 = -306*x + 1665*x + 934*x for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p + 2 - 18. Suppose -p*v + 2 - 4 = 0. Let a(q) = -126*q + 1. Is a(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -69.6. Let p = -20 - -14. Let l = q + p. Sort 3, l, 0.5 in ascending order.\nAnswer: l, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 48108319.\nAnswer: 192433276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*i = -0*d - 9, 4*d - 5*i - 27 = 0. Suppose -3*c = -3*v + c + 252, d = -c. Suppose -6*q = -q - v. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s - 105 = 0. Let y be (-4)\/(-6)*s\/(-2). Let l be 3\/y*(-16)\/12. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 1111. Let h(d) = -3*d. Calculate a(h(o)).\nAnswer: 6*o - 1111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13673249 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s + 2, -5*s = -5*l + 105. Suppose g + 8*r - 39 = 5*r, 3*g - 135 = -3*r. What is the remainder when g is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.196559 to one decimal place.\nAnswer: -35.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 1 - 11. Suppose b = -j + 4. Suppose -b*p - 14 + 122 = 0. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -548, -1797, -4404, -9047, -16404, -27153?\n\"Answer: -113*a**3 - a**2 - 455*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - ((sqrt(133) - (sqrt(133) - 1*sqrt(133)*4)) + sqrt(133) + sqrt(133)) - sqrt(133))*-4*5)\/((sqrt(252)*-1 + sqrt(343)*1)*-4))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x**3 - 2*x**2 - 3*x + 1. Let o(b) = -27*b**3 + 5*b**2 + 6*b - 3. Determine -2*o(t) - 5*y(t).\nAnswer: -11*t**3 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-12))\/(-11)*(0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 - 167. Solve 5*d + 10 = 2*p, -p = m*p + 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 1 + 3 - 9*x - 1 + 1.\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1814 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351634329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**4 - 298*q**3 - 2*q**4 - 2*q + 3*q**2 + 303*q**3 to the form z*q**2 + a*q**3 + b*q + m + u*q**4 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 + 3*y**2 + 3*y - 3. Let o(f) = -6*f**3 - 5*f**2 - 5*f + 5. Let h(c) = -3*o(c) - 5*p(c). Factor h(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2458 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -785.2113 + -556.5023?\nAnswer: -1341.7136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/10 - j**4\/4 - 2*j**3\/3 + 302*j. Let q(z) = z**3 + 2*z**2 + 3*z. Calculate -3*q(x) - 2*y(x).\nAnswer: x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1)*(-853)\/14. Let j = 121 - k. Do j and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33754 is divided by 1202.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1701 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -315 + 293. Are q and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-10))\/1)\/((-9)\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 5 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150446, -150447, -150448?\nAnswer: -150449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -12*n + 20. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21, 14, 7, 0?\n\"Answer: -7*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsshssvhshsshvs. Give prob of picking 2 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -626 + -2226.\nAnswer: -2852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 24*z - 84 = -55*z. Let j = 306 - 3976\/13. Let y = -339 - -2369\/7. Put j, -3, y, z in decreasing order.\nAnswer: z, j, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/12 - 2*a**3 - 17*a**2\/2 - 14*a. What are the prime factors of u(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1 + 16 + 1 + s. Let m be o(-18). Suppose 2*z + 3*f = -2 + 15, -z - 3*f + 11 = 0. Solve z*r + 5*i - 14 = m, 16 = -3*r + 6*r + 5*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 s when three letters picked without replacement from {k: 5, j: 1, s: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 15. Let z(q) = 6*q + 76. Let f(s) = -11*v(s) + 2*z(s). Differentiate f(b) with respect to b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.3 - -3.3. Sort m, -0.3, -1\/2.\nAnswer: m, -1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**3 - a**2. Let d be l(1). Let u(s) = s + 1. Let c = 18 - 13. Let z(n) = -n**2 + 0*n**2 + 10 - 3 + n + c*n - n**3. Give d*u(k) - z(k).\nAnswer: k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1813 + 3743\/2. Let v = 58 - x. Let m = 3 - 2. What is the biggest value in m, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkkpkkp. Give prob of sequence ppkp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 84 + 36 = 0. Solve 2*b + 2*d = -0*b, 5*b + l = -d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 8*d - 97. Let m be s(15). Factor 5*z**2 - 15 - m*z**2 + 57*z + 9*z**2 + 6*z**2.\nAnswer: 3*(z + 5)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:05 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:17 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -75?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 i when four letters picked without replacement from {b: 6, i: 7, w: 6}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2 - 3*x - 5. Let o(t) = 6 + 4 + 2*t - 7 - 3*t**2. Calculate -5*o(a) - 3*r(a).\nAnswer: -3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 6. Let t be p(2). Suppose 2*l - 323 + 1431 = 5*r, 0 = -2*r + t*l + 448. List the prime factors of r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950 = -172*v - 18*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5018633.\nAnswer: 79, 63527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 45*z**3 - 19*z**2 + 172*z + 608. Calculate d(-3).\nAnswer: -1294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m + 7. What is w(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iniinii. Give prob of sequence nin.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20686 - -11517. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 77 - 7*o - 76 + 226 + 5*o - 4*o.\nAnswer: -6*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462656057 to the nearest integer?\nAnswer: 21509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhv when three letters picked without replacement from {v: 5, h: 7, z: 2}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 20. Let g(v) = v - 4. Let c be g(7). Suppose -2*x = c*x - o. Solve x*p - 3 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -982 - 4992 - 554. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 7*i - 4. Let q be y(-6). Let f be 0\/(-2 + q - -2). Suppose 28*x = 32*x - 20. Put f, -4, x in descending order.\nAnswer: x, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/9 + 8758*k**2\/9 + 696436*k\/9 + 687680\/9 = 0?\nAnswer: -4298, -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 293577592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-nine halves of a milligram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3 - (48 + (0 - 14) - 5)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 1805\/5*1. Let n be (6 + -3)\/((-2)\/166). Let t = c + n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/209753691 and -59\/39.\nAnswer: 2726797983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 203464 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-918))\/((10\/3)\/(-5)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 24.99668. What is g rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g + 6. Let q be g - 1 - (3 - 1). Let f(l) = -5*l - 3. Let r(z) = 11*z + 7. Let m(x) = 9*f(x) + 4*r(x). Determine m(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10404494927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36677293973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ommlxfolom. Give prob of sequence lflx.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxpxjjpj. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 123. Let o be t(-32). Suppose 8*j - o*j = f - 130, -f + 2*j = -129. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggoo when four letters picked without replacement from oogoogo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -572014\nAnswer: 14\/286007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2730*z = -1833*z + 117507 for z.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2544 and 64?\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -227, 4, 5, -299, -3 in decreasing order.\nAnswer: 71, 5, 4, -3, -227, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23522612.\nAnswer: 2, 5880653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 13*q + 32. Let g be d(-10). Suppose -2*r = -m - 11, 0 = g*r + 5*m + 16 + 3. Round r to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108640)\/(-233856) + (-1)\/(-12) + (-20)\/45.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from bwmbbdyb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1211855 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16926 by 93.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) -6\/7 (c) -2 (d) 206 (e) 0.09 (f) -0.3 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ac0a9 + 0?\nAnswer: -2ac0a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93466 + 0.3.\nAnswer: 93466.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 607*g**2*h**4 - 4*g**2*h**3 + 28*g**2*h - 201*g*h**2 + 2*h**4 wrt h.\nAnswer: 14568*g**2*h - 24*g**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -11, 0, 27, 76, 153, 264?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 16*d**5 - 12*d**4 - 116*d**3 - 12*d**2 + 100*d + 24 = 0.\nAnswer: -2, -1, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 divided by 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -22*f**2. Let g(c) = 2 + 5 - 4 - 3 - 10*c. Give i(g(b)).\nAnswer: -2200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 7 + (-2 + 0 + 1)*(-2 + 2 - 2))*((-p**3 - p**3 + 3*p**3)*(-2 + 5 - 1) - 5*p**3 - 2*p**3 - p**3).\nAnswer: 54*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*j**2 + 3)*(-12 + 12 + 4*j) + 2*j**3 + j**3 - j**3.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2077 is divided by 162.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 3, -776?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/48*30\/325?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -2\/23, -9.56, -2\/3 in decreasing order.\nAnswer: -2\/23, -2\/3, -9.56, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:30 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.61 - 3.61. What is the third smallest value in t, -2\/13, -3\/10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 + 2*w - 1. Let i(j) = -j**2 - 6*j - 5. Let p be i(-5). Suppose p = -7*s - s - 792. Let r be ((-275)\/s - 2\/(-9))\/3. Give f(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.054 - -33.946. Let k = 48 - t. Let n = k + -13.8. Sort 5, 2, n in increasing order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -89 + 40 + 4 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4983, 3, 7, -5 in increasing order.\nAnswer: -4983, -5, 3, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*k = h - 4, -3*k = 3*h - 15. Solve -5*r = 3*u - 20, -2*r + 2 = h*u - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 14*m + 18. Suppose 170*h = 167*h + 36. Calculate q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38172712.\nAnswer: 2, 4771589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 8:37 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -10. Let y = 11 - k. Put 1\/12, y, -0.5, 0.5 in increasing order.\nAnswer: y, -0.5, 1\/12, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422036 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t**2 + t - 1. Suppose 0 = -h + 6*h - 35. Let c be -36*(84\/8)\/h. Let b = c - -51. Determine u(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -12.7. Let z = 0.1 - y. What is the nearest to 0 in z, -2, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -752\/15 in -3, -1\/4, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4459)\/182*4\/(-14). Determine f so that 5*f + 8*f - 6*f - 2*f + h*f - 11*f**2 - f**3 = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275508 is divided by 96.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25003 + 5032?\nAnswer: 32035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 634969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 7761177.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -121, -188, -261?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -571576 (base 8) to base 6.\nAnswer: -4051222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2640.562ug to kilograms.\nAnswer: 0.000002640562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 773, 1066, 1557, 2246, 3133, 4218, 5501?\nAnswer: 6982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -33. Let q be (-1)\/(-2)*0\/(-1). Is q < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1864 = -q + 5463. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + s + 15, 2*t - 5199*s + 45 = -5210*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -299.23 and 20078096.\nAnswer: 20077796.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14963058 divided by 2493843?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 176*g**2 - 129238*g - 17302140.\nAnswer: 2*(g - 270)*(g + 179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.88, 143\/107, 14?\nAnswer: 143\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*u - 24*u - 1 - 2 + 29*u - 5 + 4*u**2.\nAnswer: (u - 8)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.13 (b) -1\/4 (c) 626 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12867017*x**3 + 9791660*x**2 wrt x.\nAnswer: 77202102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3)*y*y*y**(-2\/5)*y)\/(y*y**1*y)**(-36))**(-45) assuming y is positive.\nAnswer: y**(-4842)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 389, 419, 395, 323, 209?\n\"Answer: d**3 - 33*d**2 + 122*d + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6671555 hours in seconds?\nAnswer: 2401.7598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26805 or -26804?\nAnswer: -26804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 - -120. Let v be (-1)\/2181*(n + 35\/25). Let o = 65443\/47255 - v. Which is bigger: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*c**3 + 1 + 5 + 0 - 1 wrt c.\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 41*a**2 - 116*a + 17. Is v(-31) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 374 and -0.37.\nAnswer: -138.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(0 + -2 + 5 - 13) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/47, 71, 1\/2, 0.3, 5 in descending order.\nAnswer: 71, 5, 1\/2, 0.3, 3\/47, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6249 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - u + 0*u = 5, -5*u = -2*h + 19. Suppose 2*l = 3*n - h*l, -2*n = 3*l. Suppose n = -q + 6*q. Solve 31 = -3*w + 4*c - q*c, 24 = -4*w + c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161807 is divided by 19046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025198661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 810\/(-180)*(-4)\/(-9) + -9. Which is smaller: 14 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 14. Suppose 0 = -5*j + 3*j + w. Is (2\/j)\/(4\/402) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:05 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 1146*u + 870*u + 185*u as w*u**3 + i + o*u**2 + p*u and give p.\nAnswer: 2201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2477115 and 2160?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/5))**(-39) assuming f is positive.\nAnswer: f**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -330305 (base 8) in base 14?\nAnswer: -2c537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/7)*y)\/(y\/y**(-6\/11)))\/(y**(-3\/14)*y\/(y*y**(-13))*y) assuming y is positive.\nAnswer: y**(-2229\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 - 1 + 2*j**4 - j**2 + 17*j**4 + j**3 + 2*j - 3*j**4 to v*j**3 + x + h*j**2 + q*j**4 + z*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/2 + 162*u + 326 = 0.\nAnswer: -2, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-34)\/(-561)*-16?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/((j\/(j**(-1\/4)\/j)*j)\/j))**(-48)*(j**(-6)*j\/j**(-5\/2))**(-33) assuming j is positive.\nAnswer: j**(-387\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Suppose c*g = 2*g. Solve g = -5*a + s - 2*s - 3, -a + 3 = 2*s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273175270.\nAnswer: 2, 5, 659, 41453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 - 209\/(-44))*(-140)\/(-166) and 69\/22.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.291 rounded to the nearest integer?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156261644 - -4?\nAnswer: -156261640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 11656\/216) + 50?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 23, 4, 3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 0.1 (c) -0.040883 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71, -149, -311, -587, -1007?\n\"Answer: -5*k**3 - 12*k**2 - 7*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6277 (base 11) to base 13.\nAnswer: -3a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 18*o - 4*o - 4*o - 3*o.\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300101113 (base 4) to base 2.\nAnswer: -110000010001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*k**3*v**2 + 34*k**3*v + 3*k**3 - 56*k**2*v + 797*v**2 + 28 wrt v?\nAnswer: 76*k**3 + 1594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2515 is divided by 502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxrrrrxwwwwmc. Give prob of sequence cmr.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1574014 + -0.3142?\nAnswer: -0.1567986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13692 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 507 by -507.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(130) - -4*sqrt(130)*-4)\/(sqrt(360)*-2).\nAnswer: 1 + 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 15 + 64 = n, 0 = -5*n - 2*b + 307. Suppose -45 + 18 = -u. Calculate the greatest common divisor of u and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(7\/4))\/((w*w**9)\/w)*w**(-8\/5)*w*w*w\/w**11 assuming w is positive.\nAnswer: w**(-317\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 427456*u**3*z + 2*u + z - 146392 wrt u.\nAnswer: 2564736*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**4 + 142*x**2 - 1167 wrt x.\nAnswer: -4*x**3 + 284*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 y when four letters picked without replacement from uuuyuuuuyyuuyuuuuu.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiktssssrtksissksk. What is prob of sequence ti?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 6472?\nAnswer: 32360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 2172.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 - 9*f**2 - 10*f + 12. Let a be g(3). Suppose -13 = 3*h + 4*b - 44, 4*b - 1 = 3*h. Solve 6 = j - 5*m - 10, -h*m = 4*j + a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -29*a + 76. What is the second derivative of -22*h**2 + 4081 + 5*h - 4085 - a*h wrt h?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 63. Let k be d\/(3\/(-4))*159\/12. Let m = k - -58. Solve -3*g - 2*g - m = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250388?\nAnswer: 2, 62597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, and 1 p when three letters picked without replacement from {v: 1, g: 2, x: 3, h: 1, p: 2, c: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700871570.\nAnswer: 2, 5, 7, 10012451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**4\/12 - 4*i**3\/3 - 3*i**2. Let z be h(4). Suppose z = u - 102 - 137. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20890 + -20893.8167. Let v = -0.0417 - i. What is v rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 5. Suppose 5*u - 3*u = 3*i - y, -4*i - u + 27 = 0. Let z(n) = 7*n + 39. What is the lowest common multiple of z(-5) and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 570234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*d + 39 - 3, 5 = 5*d. Suppose -3*s + 2*s + n = 0. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-2)*(-4)\/5. What is the second derivative of -4*l**4 + 2*l - 2*l - b*l wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - w + 0)*(-3 + 3 + 3)*(-102 + 187 - 160)*(-2*w**2 + 2*w**2 + w**3) to v*w**3 + g*w**2 + p*w**4 + i + k*w and give p.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.1, 0.067, -0.46, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 + 265269944*z = 0. Calculate z.\nAnswer: 0, 265269944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 14*s**2 - 12*s + 35. Determine p(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4985 or 4975?\nAnswer: 4975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -641\/4 smaller than 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 5 + sqrt(52) + 3 - (-1 + 0 + sqrt(637) + 3)) + 3)**2.\nAnswer: -80*sqrt(13) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 9. Let o(l) = -3*l - 17. Let s(m) = -5*k(m) + 3*o(m). Let p be s(6). Suppose p = -2*r - 5*u + 11, -6*u = -2*u + 20. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10002220 (base 4) to base 14\nAnswer: 6064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109387\/12 - -9123. What is the common denominator of -71\/8 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.397 - 22.303. What is h rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 + 353*j**2 - 261*j + 1065. Give v(117).\nAnswer: -2094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -11*k**2\/2 - 41*k + 28. What is the units digit of w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -10)\/(-6) + 7. Solve a*w - 3 = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*j**5*r + 2*j**3*r + 6*j*r + j + 2*r wrt j?\nAnswer: 320*j**3*r + 12*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13312859215*n - 639*n**2 + 13312859215*n.\nAnswer: -639*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5949*v - 12056 = 153449 - 5197 + 12213 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2118.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 13*u**2 - 12*u - 4. Suppose 0 = -9*t + 8*t + 12. Let h be i(t). What is the least common multiple of 8 and (-2)\/h - 17\/(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus -0.486457298005?\nAnswer: 8.486457298005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 38 + 70. Let z = -15 + y. Let n(b) = -22*b + 2. Let s be 154\/30 + ((-6)\/(-21))\/(240\/(-112)). Let m(k) = 9*k - 1. Give s*n(g) + z*m(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2925 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 827540610 and 5.\nAnswer: 827540615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 7*j**2 + 7*j - 21. What is p(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 17*w = -87469 - 14267. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42768490 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 6137 = 3*g + 6116, 0 = 5*g + 4*d + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200202211 (base 3) to base 14.\nAnswer: -c235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*i + 9 = 0, z + 3*i + 1 = 2*i. Let n = z - -23. What is the least common multiple of 16 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = i - 1. Let g(p) = -3*p - 24. Let m be g(-14). Calculate the greatest common divisor of m and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -34*m**2 - 183*m + 182. Let h be l(1). Is -5 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3219, 3195, 3135, 3033, 2883, 2679, 2415, 2085?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 147004, -0.2?\nAnswer: 147004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-55)\/(-14) - (-99)\/1386. Solve o*i + 5 = 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 297 - 1017 = 5*c, -4*c = 5*h + 900. What is h rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 10 = -0*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14 - -13)*82)\/((20 - -1)\/3 + -6).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15614, 114, 3, -12?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 12*h**3\/7 - 107673*h**2\/7 + 188385*h\/7 + 53826\/7 = 0.\nAnswer: -1\/4, 2, 8971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 436883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6. Let t be k(0). Let c be 6*-3*10\/t. Suppose -5 = 5*v + c. Let b(i) = -i - 2. What is b(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 103a - 20?\nAnswer: 101a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -58278*i**3 + 18543*i**2 - 74172. Let b(w) = -3*w**3 + w**2 - 4. What is 74172*b(x) - 4*y(x)?\nAnswer: 10596*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6305?\nAnswer: 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 29984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*b + 30, -2*m - 3*b = -202 + 177. Let z = 31 - 16. Is m <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1.1, -12 in descending order.\nAnswer: 1.1, 0.4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**6\/2 - 8*b**3\/3 + 10*b. What is the second derivative of g(r) wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120 - -123. Let u = -2.8 + o. Which is the nearest to 0? (a) 1\/3 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 2*h + 7*h)*(-2 - 3 - 2)*(4 + 5 - 4).\nAnswer: -35*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h)*(-h + 6*h - 4*h + (0 - 2 + 0)*(h - 3*h + h) + 3 - 6*h - 3).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/120891456 and -109\/1008.\nAnswer: 120891456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-12) - (-28756)\/168. Let r = 284 - b. What is the tens digit of r\/2*(-36)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**4 - 4*u**3 - 10390*u - 260506?\nAnswer: 8*u**3 - 12*u**2 - 10390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/44553486 and -137\/356427888.\nAnswer: 356427888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 3. Let i(o) = -1. Suppose -2*v - 6 = 2*h, -4*v + 4*h = -23 + 3. Determine v*k(r) + 4*i(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363860.\nAnswer: 2, 3, 5, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*d**4 + 30*d**4 - 75*d**4 - 334*d**2 - 105*d**5 wrt d.\nAnswer: -6300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/(-561) - (-6)\/132.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 2 (c) 0.017 (d) 0.02 (e) -46\/73 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-130)\/39*12416253\/(-38) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 24. Let a = r - 13. Let k(p) = 7*p**2 - 2*p - 4. Let v(z) = 7*z**2 - 3*z - 5. Let m(g) = a*v(g) + 3*k(g). Find the first derivative of m(n) wrt n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = 67*x - 434. Solve 3*s + 25 = -b - 3*b, -2*s + 5*b = -x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - 1*sqrt(117)) + sqrt(117))*3 - -6*sqrt(117)*1)\/(sqrt(9) + sqrt(900)*6 - (sqrt(324) - -2*sqrt(324))).\nAnswer: 9*sqrt(13)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:00 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*h**4 - 82325*g*h**3 - 2*g*h + 6124*h + 40 wrt h?\nAnswer: 24*g*h**2 - 493950*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -236\nAnswer: -17\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 95\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 526*s - 2594. Calculate u(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 8. Let d be f(-6). Factor x**5 + 1 - 3*x**d - 2*x**3 + 4*x**5 + 0*x**2 - 6*x**5 + 3*x + 2*x**2.\nAnswer: -(x - 1)*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + v = 118, -v - 104 = -2*d - 22. Solve 0 = -d*k + 44*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**6\/120 + k**5\/5 - 11*k**4\/24 + 2*k**3\/3 + k**2. What are the prime factors of b(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.427056 millennia?\nAnswer: 742.7056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000557934 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*m)*(133*m**3 + 43*m**4 - 133*m**3).\nAnswer: -86*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1222 + 1222.0619. Round f to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 97a1a?\nAnswer: -97a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d**2 + 96*d + 520. Give k(20).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1254797.31 and -2.\nAnswer: -2509594.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -8 (c) 31.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*v + 59 = 0, 4*l + 1 = 6*l + 5*v. Suppose a - 38 = -2*m + 57, 3*m = -2*a + 141. Let b = 114 - m. What is the greatest common factor of l and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.41, -5, 7, 5\/2 in ascending order.\nAnswer: -5, 5\/2, 3.41, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**7\/14 + 3*d**6\/10 - 3*d**5\/10 - 40*d. Factor c(j).\nAnswer: -3*j**3*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -34*s - 22. Let v be k(-1). Suppose 2*w - 33 = -t, -6*t + 21 = w - t. Determine x so that -32\/7 + v*x**4 + w*x + 8*x**2 - 220\/7*x**3 = 0.\nAnswer: -2\/3, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59dd (base 15) to base 6.\nAnswer: 224244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -383.62 + 387. Let n = s - 0.38. Let y = -126 - -627\/5. Which is the nearest to n? (a) 0.5 (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 82. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15151 or -15180?\nAnswer: -15180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44163 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893360528?\nAnswer: 2, 1009, 55337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49540 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -1.1, -3956?\nAnswer: -3956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**5 - d**4 - d**3 - d. Let u(t) = 13*t**5 - 6*t**4 - 6*t**3. Let p(i) = -u(i) + 6*y(i). What is the second derivative of p(c) wrt c?\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 185 - 185 - 2*c**2. Let q(t) = t**2. What is q(v(i))?\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 - 2*z**4 + z**3 + (-52*z - 136*z - 220*z)*(10*z**2 - 10*z**2 + 6*z**3).\nAnswer: -2450*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7405682 kilograms?\nAnswer: 740.5682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3739760 divided by 7.\nAnswer: 3739760\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6962*a**5 + 7198*a**4 - 238*a**3 + 2*a**2 = 0 for a.\nAnswer: 0, 1\/59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1625*43389\nAnswer: -7050.7125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 128\/9 - 2\/9 - 2. Solve -3*i + 0*i = -h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 - -42. Let z = -48 - l. What is the highest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 21\/2. Suppose 5*t = 5*s - 130, 0 = 2*t + 3*s + 45 + 17. Let h be (-4)\/t + 112\/245. Which is the closest to h? (a) k (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let n be y(3). Let u = 13 - n. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 4:09 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 2, -2, 26017 in descending order.\nAnswer: 26017, 5, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8417, 8425, 8437, 8453, 8473, 8497?\n\"Answer: 2*g**2 + 2*g + 8413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, j: 6}. What is prob of sequence jqj?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 16 = -3*u + 48, 37 = 2*g - 7*g + 3*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/13)\/(24\/(-20)*30\/162)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*b - 45 = 0, -2*f - 9*b + 2*b = -30. Solve s + 5 = -2*w, 5*w - f = -s + 8*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1 - -4) + 0)\/((-172)\/(-1204)). Calculate the common denominator of 65\/56 and (2\/a)\/(70\/75).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42847 + 42847.3. Is -651\/4 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974338 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -2)*1\/2. What is the closest to 1 in r, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 + 12200?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -69 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.0554 (b) 3 (c) 0.7 (d) -4 (e) 115\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3 (c) 52 (d) 5\/2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1133539 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122220 + 12?\nAnswer: 200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 141 = 3*n + 385, -3*z - 3*n = 150. Let a = -234\/5 - z. Determine x so that -a*x**3 + 1\/5*x**2 + 1\/5*x - 1\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -3\/5, -4, -208464, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -32*y - 733. Let i be h(-23). Which is the closest to 1? (a) 1\/3 (b) -65 (c) -5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -71. Let q = -34 + l. Is q\/6*(-5 - -8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11153*y**2 - 335 + 2940*y**2 + 335 + 14069*y**2 to f + n*y**2 + d*y and give n.\nAnswer: 28162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + ((-10)\/(-15) - 97\/(-3)))*(3087 + -3088).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145167635 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -47691 (base 11) to base 16\nAnswer: -10c63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*1\/10 + 906\/15. Suppose -q = -142 + l. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z = 12*z + 50 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by 4\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p = 292 - 544 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -c54 (base 14) in base 16?\nAnswer: -97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2 = 5*c. Let m = 5 - c. Solve -8*l + 4*l = -m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/4 - 3*n**3 + 15*n**2\/2 - 17*n. Suppose r(y) = 0. What is y?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 28\/3. Let h = 880.38 - 883.38. Sort 1\/2, u, h, 3 in decreasing order.\nAnswer: 3, 1\/2, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-18) - (-14)\/21.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 5 = -7*z. Let m be ((-4)\/(-12))\/(z\/(-6)). Suppose 0 = -3*i - m*i + 15. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/3 + 1911094*w**2 - 7644380*w + 22933144\/3 = 0.\nAnswer: -5733286, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*((v\/v**(-3))\/v)\/v*v)**(-15\/4)\/(v**1\/v)**(-1\/19) assuming v is positive.\nAnswer: v**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229320.\nAnswer: 2, 5, 55733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1013 and 200574?\nAnswer: 200574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-1927)\/(-7011) + 4\/(-18)). Solve 0 = -b*t + 42 - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1)\/(-1*1). Suppose -120*j = -122*j + 8. Let m be 17\/34 + (-14)\/j. Put -5, t, m in increasing order.\nAnswer: -5, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + 190a57?\nAnswer: 190a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 2*x + 82 = 0, 4*f - 29*x + 26 = -30*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 1, f: 1, l: 2, v: 1, n: 2}. Give prob of picking 1 l, 1 v, 1 u, and 1 n.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -4*n**2 - 4\/3*n**3 + 0 - 10*n - 1\/12*n**4. Let m be u(-7). Which is smaller: m or 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3062062.\nAnswer: 2, 1531031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1526042, 1526048, 1526052, 1526054, 1526054, 1526052?\nAnswer: 1526048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 21*n + 5. Let y be l(12). Is 2393\/5 - (-74)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5380394484 rounded to four decimal places?\nAnswer: 0.538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*z, -x - 37*z = -33*z - 45. Solve -4*d + 4 = j, -x*j - 3*d + 3 = -46*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(208)*4.\nAnswer: 5 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (496\/20)\/(-31)*-14*5\/8*-4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/28 + 50679070\/91 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 + -1122\/7. Let c be (20\/12)\/((-1625)\/50). What is the closest to -2\/3 in -2, j, 0.1, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*a**2 - 3848*a + 8064.\nAnswer: -4*(a - 2)*(23*a + 1008)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -3, 4, 328\/13 in decreasing order.\nAnswer: 328\/13, 5, 4, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127803.\nAnswer: 3, 13, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1002 and -23\/657?\nAnswer: 219438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((2028\/400192)\/((-2)\/8)).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 251251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 63 = 3*d, 0*z + z = 4*d + 30. Let i be 2\/((z\/(-105))\/(-3)). Suppose 5*c - 5*f = i, -2*c + 4*f + 12 = -0*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (8 + -1) - -3 - (-1 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.77 + -7.87. What is the closest to 1\/3 in 0, -2\/3, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1572824420 divided by -393206105.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21*-0.1\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -520434100 - 13?\nAnswer: -520434113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 743210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:03 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, l: 10}. Give prob of picking 2 y.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/5 + 59876*f**2\/5 - 277312794*f\/5 = 0. Calculate f.\nAnswer: 0, 5727, 24211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 1140*j - 108300.\nAnswer: -3*(j - 190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 3*i**5\/20 - i**4\/3 + i**3\/2 + i**2 - 15*i. Let r be f(2). Let h = 104 - 40. What is the highest common divisor of r and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 6. Suppose -2*v - 53 = -3*v - 5*o, -5*v - 2*o = -196. Let m be (v\/(-95))\/(2\/(-15)). Solve 0 = -m*n - 5*w - 13, l = 5*n - 2*w + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7177.\nAnswer: 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x**2 + 21*x - 70. Calculate p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - 10512\/(-720). Suppose 5 - 1 = -4*v. Sort 2, v, l.\nAnswer: v, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**5\/4 + 540*y**4 + 30639*y**3\/4 + 34614*y**2 + 49545*y = 0.\nAnswer: -6, -5, -3, 0, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 2 - 2 + (1 - 1 - 2*h)*(3 - 2 + 0) - 921*h - 81*h - 60*h + 91*h)*((-4 + 4 - 1)*(-h + 4*h - 5*h) + 5*h - 15 + 15) as y + i*h + d*h**2 and give d.\nAnswer: -6818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 225\/27 - 2\/6. Suppose 7*r + 5 = b*r. Solve 3*o = w - 1, 3 + 7 = -r*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -8. Let r = 2904 - 2652. Calculate the remainder when r is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1278\/235 + -30\/47. Is 4 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90538 and 5833457.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - -4*-1*sqrt(152)) + sqrt(152) + sqrt(152)*2*-3)\/(sqrt(48)\/(-1*sqrt(726))).\nAnswer: 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126430721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 7*s - 4 = 0. Let p be 1 + 0 - 1*3. Let i be 100\/p*(20399\/(-1) + s). Round i to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-24 - 0) + 1050 + -987?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219910449?\nAnswer: 3, 11, 2243, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6839449 grams?\nAnswer: 0.0006839449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120033 (base 4) in base 2?\nAnswer: -10011000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(17 - (-2 + -35 - (-248 - -241)))?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-735)\/(-1260)*(-51)\/(-238)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.054 + -0.046. Let s = -2 + 1. What is the third smallest value in 3, s, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/14*12\/(-48)*7\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/13)\/(u\/u**(-6\/13)) assuming u is positive.\nAnswer: u**(-16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406885991?\nAnswer: 109, 3732899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -0.18, 0?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbcpwpbcbcbcbgppcbgz. Give prob of sequence wpzp.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-84)\/(-30))\/7 - 1227\/5. Let p = -205 - c. Let j be (-4)\/(3\/(-5 + -1)). What is the highest common factor of p and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*g + 3, -5*a - 3 = -4*g + g. Solve a = -x + 4 - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 19. Let m(q) = q**2 + q - 6. What is m(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26265)\/(-47277))\/((-11)\/9).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 121*k - 1. Let x(q) = 21593*q**2 - 3*q. Determine i(x(a)).\nAnswer: 2612753*a**2 - 363*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7374, 7378, 7376, 7362, 7330?\nAnswer: 7274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3873269 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263823324?\nAnswer: 2, 3, 29, 163, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 70878.\nAnswer: -141756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10155272*b**2 - 31*b + 22. Let c be y(-6). What is c rounded to the nearest 1000000?\nAnswer: 366000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34240 divided by -214\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28 + 0.28. What is the closest to g in -0.1, 3\/5, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, h: 6, v: 2}. Give prob of sequence aa.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5838113*b - 3440226 with respect to b.\nAnswer: -5838113","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2430) + (sqrt(2430) + 2*sqrt(2430) - sqrt(2430)) - sqrt(2430)))\/(((sqrt(160)*1 - sqrt(160)) + sqrt(160) + sqrt(160))*5) + 3.\nAnswer: 9*sqrt(3)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-12))\/((-3)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = a. What is the derivative of 2*s**4 + s - a - s + 0 wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1320\/165*(1\/1)\/(-2). Put 4, -3, 1, 36, w in descending order.\nAnswer: 36, 4, 1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/7 - 78*j\/7 - 148\/7 = 0 for j.\nAnswer: -37, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1227 + 2698 - b**3 - 652 - 2*b**3.\nAnswer: -3*b**3 + 819","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8381.79 less than -0.2?\nAnswer: 8381.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 + 134*n - 29360. Give y(-82).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144675719 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*n + 36 = -11, 5*n = -5*g + 170. Suppose 8 = -j + g. What is j rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 13 + 28 = 0, -5*g - 5*r + 25 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110211112011 (base 3) to base 2.\nAnswer: -101000001001010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -5*j + 130. What is the greatest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtt when three letters picked without replacement from {t: 8, v: 3}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Suppose -f*o = 3*o - 5*a + 45, 39 = -4*o + a. Is -10 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -6 + 2\/9*h**2 - 2\/27*h**3 - 2\/9*h. Determine q so that x(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/33, 0.3, -3\/5, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 29*y - 285. Give q(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 844*b + 38822. Determine n(-46).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*o**2 + 52*o - 52*o.\nAnswer: 283*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(3680\/(-3703)))\/(14\/(-8))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -227075 and 2.3.\nAnswer: -522272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -12 - ((13 - 3) + -3)) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25648 by 7.\nAnswer: 3664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143417503.\nAnswer: 2203, 65101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from {f: 3, r: 1, t: 1, d: 3, h: 3, w: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16206 by 2.\nAnswer: 8103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2031670*t**2*u + 47*t**2 - 7909 wrt u.\nAnswer: -2031670*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(((-78)\/(-130))\/((-39807)\/(-30))) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -78124469515 - 351?\nAnswer: -78124469866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299150*j + 225 + 233 - 458.\nAnswer: -299150*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -6, 4, 6, -4 in decreasing order.\nAnswer: 7, 6, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1, -3 in ascending order.\nAnswer: -28, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -91 + 96. Solve 0 = -3*r + j - l, r - 4*j + 4 - 22 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15069\/3902 at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 173191?\nAnswer: 173190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17415, 69677, 156779, 278721, 435503, 627125, 853587?\n\"Answer: 17420*p**2 + 2*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let u(x) = 5*x - 4*x + 8*x. What is u(z(g))?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 444107667*z**5\/7 - 449144805*z**4\/7 + 5056182*z**3\/7 - 2724*z**2 + 24*z\/7.\nAnswer: 3*z*(z - 1)*(529*z - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 15 + 14 - (3576\/120 - 2\/(-10))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 2. Let p = -11 - -18. Let g(f) = -f - 1. Let v(m) = m - 4*m + 2*m. Let h be v(-4). Determine h*c(n) + p*g(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627027.\nAnswer: 3, 47, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -70*o + 74*o - 48, -o = 3*h - 44. Solve -13*b = 3*b + h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6*v - 3. Let x be q(5). Suppose -x*t + 10 = 0, 5*t = -4*l + 66703 - 634678. Round l to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -88*f + 5049. Give t(57).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 10:03 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8490230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281485 (base 9) to base 12.\nAnswer: 83458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/18*(675\/(-15750))\/((-36)\/20*-1).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95577 - 95573. Let x(q) = q + 1. Let a be x(3). Suppose 0 = a*t - 2*t. Put -4, -1, t, p in ascending order.\nAnswer: -4, -1, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 26. Give u(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12332 divided by 3083?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lulv. What is prob of sequence luvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*v + 16, 2*v + 4 = -4. Suppose 0*g + 65 = l*g - 3*a, -g - a + 20 = 0. Suppose 5*d + r - 4*r = g, d - 5 = 2*r. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -21884 in descending order.\nAnswer: 0.2, -2, -21884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -816251 rounded to the nearest 1000?\nAnswer: -816000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1351037*d**3 + 1911*d**2 - 2*d + 12 wrt d?\nAnswer: -8106222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 51*w + 45*w - 98*w)*(2*w + 3*w - w).\nAnswer: -8*w**2 + 120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -746.925239651.\nAnswer: -750.925239651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 199*b**4\/2 - 200*b**3\/3 - 424. What is the third derivative of a(n) wrt n?\nAnswer: 2388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/238625 and -3\/612125?\nAnswer: 14078875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 6*t**2 - 17*t - 7. Let x = -19 - -34. Let o = x - 23. What is the remainder when l(o) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/2 - 341873*q**2\/2 + 683749*q\/2 - 341875\/2 = 0.\nAnswer: -341875, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 864410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*m + 3 + 3*m + 19*m to the form j*m + y and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 14*y**2 + y + 7. Let c be q(14). Suppose c*s - 114 = 20*s. Suppose -30 = -9*l + s. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 13) to base 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*n - 2*l, 23*n - 5*l - 3 = 24*n. What is the second derivative of -4*p**4 + 6*p - n*p**2 - 3*p - 13*p**2 + 4 + 0*p**2 wrt p?\nAnswer: -48*p**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 2859 = -9993. Suppose 2*p - s = 1605. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3 - 1219*u**2 + 84877*u + 86095 = 0.\nAnswer: -1285, -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50246395.\nAnswer: 5, 10049279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*c*p**2*q - c*p*q**3 - 2*c*p*q**2 - 5*p**2*q**4 - 2*p**2*q + 5*p*q**2 - 2*q**4 wrt q?\nAnswer: -6*c*p - 120*p**2*q - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174372*p**5 - 305694*p wrt p.\nAnswer: -3487440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68185.88 millimeters to centimeters.\nAnswer: 6818.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 14 = -4. Suppose 5*d - 1 = 14. Solve x*y + d*g = -10, g = y - 2*g + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 905 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0418585 nanograms?\nAnswer: 0.0000000000418585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44394208289 - 44394208289 - 5*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19.8 * 99\nAnswer: 1960.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53672 + 10*f**3 + 53672.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 3. Let m(l) = l**3 - 3*l**2 - 4*l. Let f be m(s). Let j(y) be the third derivative of y**5\/60 - 19*y**2. Calculate j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7747 is divided by 97.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 1331580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/9)\/(-2))\/(5820\/(-55872))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -52044534?\nAnswer: 52044536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3*q - 3*q)*(-5 - 4*q + 5) + (4 + 5*q - 4)*(-23*q + 3*q - 6*q).\nAnswer: -134*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 9*i**2 + 8*i - 7. Let u be x(9). Let d = u + -30. Suppose -12*f + 12 = -72. What is the greatest common factor of d and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**4\/6 - 2*k**3\/3 + 6*k**2. Let v be 2\/6 + 42\/9. List the prime factors of u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239.27417 rounded to the nearest 10?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0*d**3 + 0 - 7*d**2 + 1\/60*d**5 + 0*d + 1\/12*d**4. Suppose -3*v - 24 = 3*h, 5*h + 0*h + 28 = -v. Give l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = -2*p, -2*u + 12 = -0*u + 4*p. Let a = 71\/35 - 17\/7. What is the nearest to u in a, 2\/13, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:06 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64.5 - 64. Suppose -4 = -14*w + 15*w. Which is the closest to -3\/13? (a) w (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191*0.3\nAnswer: -57.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139*l*q**5 + 2*l*q**4 - 13*l*q - 10*l wrt q.\nAnswer: -2780*l*q**3 + 24*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/165 and -97\/768.\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3737\/(-31820)*-1220 + -143?\nAnswer: 12\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2619 is divided by 866.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.41 (b) -3 (c) 30140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 8 - 8 + (3*g + 2*g - 4*g)*(5*g - 3*g - g) + (2*g - g**2 - 2*g)*(-5 + 4 + 0) + 2*g**2 - g**2 - 3*g**2 to a + n*g**2 + j*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1445465411.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*g - 14, -218 + 229 = -2*w + 3*g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 512561 (base 7) to base 9\nAnswer: 142812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 21. What is the third derivative of -4*b**2 + 16*b**2 - 5*b**o + 20*b**4 wrt b?\nAnswer: 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y. Let c(v) = v + 1. Let i be c(y). Suppose -5*h + 0*t = 4*t + 10, -3*h + t + 11 = 0. Solve 3*q = a + h + 1, -q - i = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -299\/30 - -10. Let b(c) be the second derivative of 0*c**2 - x*c**4 + 0 + 0*c**3 + 1\/50*c**5 - 2*c. Factor b(g).\nAnswer: 2*g**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53867 is divided by 51299?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*z**4 - 26*z**3 - 3*z**2 - 21*z + 1648?\nAnswer: 1080*z**2 - 156*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32246 + -32251. Suppose -y - 7 = -4*p + 2*y, 2 = 4*p + 2*y. Sort n, 5, p.\nAnswer: n, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 468?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6369 - -0.0791. Let v = -0.104 - o. Round v to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + (-2 - 66) - (-49 + (-3 - -6)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let n(i) be the second derivative of -i**7\/420 - i**4\/6 - i. Let r(p) be the third derivative of n(p). Give o(r(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5167, 10362, 15595, 20866, 26175, 31522?\nAnswer: 36907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/605*22)\/(-2*1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37013942 is divided by 4221?\nAnswer: 4214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*o + 5 + 10 - 13 + 9*o + 0 in the form v + x*o and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 120 - 1?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/120 + f**5\/6 + f**4 + 3*f**2 + 24*f. Suppose -a + 12 = -0*a. Let y be c(a). Which is smaller: y or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 4687*r**7\/105 + 15319*r**4\/24 + 4611*r**2. What is the second derivative of w(t) wrt t?\nAnswer: 112488*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**3 - r. Let v be h(-2). Let g be 103\/(-7) + 4*5\/v. What is the smallest common multiple of ((-18)\/g)\/((135\/50)\/9) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -153. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1186221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29820 + 29813. Is 146 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3285660 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 5*g - 2. Let a be r(-6). Suppose u - 2*n = 12, 2*u + a*n + 12 = -n. Suppose -u*k - 40 = -9*k. Solve 3*s + 2*z - 9 = 2*s, -k = 4*s - 3*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 + 62. What is the nearest to -6 in -0.3, -1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/9)*n)\/n)\/(n**(-2)\/n))**(-5)\/((n**(1\/2))**11*n**(1\/5)*n\/(n**(-1\/8)\/n)*n*n*n) assuming n is positive.\nAnswer: n**(-9097\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 36 - ((-25 - -52) + (-9 - 3)) - (-6 + 9)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**(-1))**(-3)*((y\/y**0*y)\/((y*y*y*y**(4\/5)*y*y)\/y*y))**14 assuming y is positive.\nAnswer: y**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1279*c**3 + 8*c**2 + 17*c - 10. What is the hundreds digit of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -1 (c) -11 (d) -0.5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -839 + 874.3. Let k = f - 33.3. Let x = 125 + -871\/7. Which is the closest to k? (a) -0.3 (b) x (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -j - 28, 0 = -88*t + 92*t + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:20 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2952? (a) 1\/76 (b) 49 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 51. Suppose 4*g = -0*j + 2*j, 2*j - k = -3*g. Suppose d - j*d + 80 = 0. Is d >= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 0, -1, -8395, 6 in ascending order.\nAnswer: -8395, -1, 0, 6, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 62*n - 61*n + 13, 3*n + 14 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 19*g + 1416. Let t(b) = -28*b**2 - 5*b + 6. Let s be t(2). Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2. Let r = 35 - 24. Let o(w) = 2*w + 11 - r - 3*w. Determine a(o(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 22. Let c(b) be the first derivative of 2*b**2 - 15*b - 10219. Determine -8*c(f) + 5*w(f).\nAnswer: -2*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/277 and 145\/6.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a - g - 22 = 0, 2*a = -4*g + 24. Let o(n) = -4*n**2 + 57*n - 23. Calculate the remainder when o(13) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*w - 510*w + 166*w + 231*w - 705*w.\nAnswer: -1288*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2)\/((-2)\/(-2)). Let v be (4 - z - 21)\/2. Let t = -13 - -5. Do v and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68204976 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333 + 0?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j - 15. Let x(z) = -z**3 + 9*z**2 + 3*z + 9. Let d(b) = -3*b**3 + 19*b**2 + 7*b + 17. Let a(v) = -2*d(v) + 5*x(v). Is a(j) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -738\/371 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a - 10 = 0, 0 = 5*d - 3*a + 30. What is the hundreds digit of (0 + (-1)\/d)\/((-14)\/(-9954))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 2*4\/8. Suppose -t = 3*r - 45, z = -4*t - 0*r - r + 136. Calculate the remainder when 130 is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 953*t**2 + 953*t**2 - 2856*t**2 - 375*t**3 + 331*t**3 + 950*t**2.\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -39*d - 17842. What is k(-458)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 14*z**3 + 8063*z**2 - 620*z - 25301. What is o(-576)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**3\/9 + 53*q**2\/3 - 152*q - 9242. Suppose x(n) = 0. What is n?\nAnswer: -57, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42968 - 42967.6. What is the closest to -0.1 in -0.2, u, 1\/2, -91?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0*j**2 + 2*j + j**2 + 7 - 2. Let a be 28\/(-7) - (0 - 0). What is the units digit of q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/18 - 32\/144?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and 55\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 662616.5 nanograms?\nAnswer: 662.6165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + ((sqrt(66) - (sqrt(66) + sqrt(66) + sqrt(66)*-2*-4) - sqrt(66) - sqrt(66))*-1)\/(2*sqrt(294)*-6))**2.\nAnswer: 11*sqrt(11)\/21 + 29555\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -2200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose u + 523 = k*a - 2*u, a = -2*u + 251. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 109*t + 7. Determine h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 893?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98.948 - -240.6. Let p = 142 - h. Round p to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 5:27 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6059618*x - 6059697*x + 12119312*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/56 and 47\/285978.\nAnswer: 1143912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*q - 40, -2*t - 12 = 4*q - 56. Determine i, given that t*i**3 + 129\/5*i**2 + 12\/5 + 72\/5*i + 21\/5*i**4 = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7849\/6 + -1309. Put -12, -32, w in decreasing order.\nAnswer: w, -12, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0659 - 4663008.3\nAnswer: -4663008.2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/36336 and 57\/404.\nAnswer: 3669936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -43. Suppose c*b = -4*b + 1386. Does 37 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355.895 kilometers in meters?\nAnswer: 2355895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m**4 - 3\/70*m**7 - m - 75*m**2 - 17\/6*m**3 + 0*m**6 + 0*m**5 + 0. Differentiate s(d) wrt d.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.6 * -9.352\nAnswer: -202.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 91*i + 15702 = -88*i, 4*n + 4*i - 62752 = 0. What are the prime factors of n?\nAnswer: 3, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 216*t**2 - 7306*t - 135. What is c(42)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -107, -466, -1079, -1946, -3067, -4442, -6071?\n\"Answer: -127*q**2 + 22*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1.024, -80\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117809682.\nAnswer: 2, 3, 2549, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, -4\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*x - 2*x - 6, 0 = -t - 4*x - 10. What is the units digit of 6 - 5 - 10\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111201211220 (base 3) to base 15.\nAnswer: -10c879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1972)\/152 + (-37 - -67) + -17\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/365620 and -61\/5411176.\nAnswer: 27055880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose -24 = -i*x + 4*v, -4*x + 2*v + 78 = -0*v. Let u = 37 + 26. What is the remainder when u is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 5, t: 1, i: 5, v: 3, o: 1}. What is prob of sequence vmvi?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*j*p**3 - 674*j*p*y**2 - 6*p**3*y**2 - 2*p**3*y + 154*p wrt j.\nAnswer: -66*p**3 - 674*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1212*a. Let p(q) = -2*q + 13. Let k(j) = 3*j + 39. Let x(w) = k(w) - 3*p(w). Give l(x(z)).\nAnswer: -10908*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 470?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 4, 75 in decreasing order.\nAnswer: 75, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/12*4\/1. Let z = 44 + -48.1. Let q = z - -4. Which is the closest to q? (a) -1 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 135 = 4*z. Let i be (10\/(-2))\/(z\/(-9)). Solve d + 2*p - 3*p = -4, -d + i*p = 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2155481\/891710 - 553\/230. Let v = o - 139841\/922726. Let h = v - 5\/34. Which is smaller: h or 9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:15 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92460*r*w**2 - 147*r*w - 25280559*w**2 wrt r?\nAnswer: -92460*w**2 - 147*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2181672 divided by 4\nAnswer: 545418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 + 12?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -41. Let h = 22 + v. Sort -0.05, 3\/7, h in ascending order.\nAnswer: -0.05, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1026 and 73\/45144.\nAnswer: 45144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 15*n**4\/2 + 2*n**3\/3 + 6486*n. Let h(d) = d**2. Give h(p(z)).\nAnswer: 8100*z**4 + 720*z**3 + 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 6\/3)\/((-2)\/(-1560)). Round v to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -14, -35, -74, -137?\n\"Answer: -j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -29, -66, -139, -260, -441, -694?\n\"Answer: -2*g**3 + g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 94 - 230)*(-4*k - 8*k + 6*k).\nAnswer: 1716*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20865 is divided by 10369?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2 - 2) + 105 + -86.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40, 347, 1234, 2989, 5900, 10255?\n\"Answer: 48*b**3 + 2*b**2 - 35*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/556542 and 109\/56790.\nAnswer: 2782710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - -3.98. Let c = -36 - -55. Let k = -16 + c. What is the second smallest value in 5, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 88770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1036*-1)\/(2454\/19632)*21\/30?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/l**(2\/9))\/l*l))\/(l\/((l\/l**(1\/6))\/l))*l**(1\/3)*(l*l**(-3\/4))\/l*(l\/((l**7*l*l)\/l)*l**(-3\/11)\/l)**(-11\/5) assuming l is positive.\nAnswer: l**(2851\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*i + 1324 + 16 = 20*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-512)\/(-704))\/((-286)\/(-363))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 1. Let c be j(2). Let m = -5 + c. Suppose -b = m*b. Solve b = -2*q - 0*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 10 = -q + 10, -3*r - 3*q - 90 = 0. Let y be (-6)\/(-1)*r\/10. Which is smaller: y or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 2:49 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 3\/16, 0, -1814?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17634, 17640, 17644, 17646, 17646?\n\"Answer: -u**2 + 9*u + 17626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4896 and 1056?\nAnswer: 53856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.015? (a) -0.7 (b) 0.4 (c) -2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2738300?\nAnswer: 2, 5, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 10:26 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -941 * 705.\nAnswer: -663405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105283*n**4*x + 4*n**4 - 3*n*x + 10*n - 682 wrt n.\nAnswer: -1263396*n**2*x + 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 641295676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 98241*q - 3*q**2 + 0*q**2 + 98241*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3507, -1, -501, 1 in descending order.\nAnswer: 1, -1, -501, -3507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37019, -36783, -36389, -35837, -35127, -34259, -33233?\nAnswer: -32049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12112575 divided by 15.\nAnswer: 807505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 - 107*c**2 + 648*c + 12. Give w(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-4 + 3 + 1 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11693896*u**3 + 17221225*u?\nAnswer: -70163376*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 3, 4 in decreasing order.\nAnswer: 4, 3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18972 is divided by 1227.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:28 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1067483549, 1067483547, 1067483545, 1067483543?\nAnswer: 1067483541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 408 = 4*b, -97 - 208 = -3*b + d. What is the remainder when 296 is divided by b?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.315 (b) 1 (c) 5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 178329 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17514128 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.03, -6, 1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 + -136. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619187065 a multiple of 2829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -13*c - 4 + 5*c**2 - 6*c**2 - 2*c. Let s be i(-15). Suppose 0 = u - 3*t, 0 = 5*t - 0*t - 5. Sort s, u, 0.\nAnswer: s, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141920203, -141920212, -141920221, -141920230, -141920239?\nAnswer: -141920248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 25*d**2 + 23*d + 22. Let z be t(24). Sort -3, 3, z, 0.\nAnswer: -3, z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17082189 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 204?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/17, -8, -3\/2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 9*r - 2*d - 18 = 0, -d - 3 = 0. Suppose -2*n = -2*m + 38, -m - 11 = -r*n + 8*n. Calculate the remainder when 82 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32338509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628*a = 263*a + 183*a + 280*a - 81240 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 20 = 3*j - 6*j, 2*s = 2*j + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4) + -8 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-2)**2 + (-1*sqrt(52))**2.\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8385*p = -909271 - 29849 for p.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47256109 by -59.\nAnswer: 800951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1612b28 (base 13) to base 6\nAnswer: 411541211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3246 - 3258. Which is the nearest to -1? (a) k (b) -1 (c) -0.1 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 153*s**2 - 263*s + 14079. Determine y(76).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93523\/29854 - 5\/1357. Calculate the common denominator of -4 + 7 - 170\/36 and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14478 or -15694?\nAnswer: -14478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 423465845 rounded to the nearest ten thousand?\nAnswer: 423470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kszz when four letters picked without replacement from {s: 1, u: 6, i: 1, k: 1, o: 1, z: 3}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/75 - 14\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 23, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8220521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**2 - 6*x**2 - 9*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 7*i**2 + i - 60. Give a(7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*m**2*r**2 - 2*m**2*r - 27*m**2 - 57*m*r + 168*m + 3762*r**2 wrt r.\nAnswer: 228*m**2 + 7524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000598428 rounded to six decimal places?\nAnswer: 0.000598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 6:15 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -70. Let j(x) = x**3 + 10*x**2 - 12*x. Calculate the remainder when j(-11) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (59 + -89 - (1 + -7))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 6*z + 3*n, -4*n + 62 = -134*z + 131*z + 40 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -581086*i**3 + 29*i - 2402?\nAnswer: -3486516*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -20*v**2 - 169*v - 336. What is i(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32823 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*t = 182*t - 0 - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2452 + 249. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 4*x + 15. Suppose 0 = x*o - 3 - 9. Suppose 0 = 6*u - o*u. Solve -5*k + 5*q + 5 = 0, 5*k - 4*q = 3 - u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + -2 + 3 - -4) + -12. Let t(f) = -3*f - 44. Let i be t(q). Which is bigger: -10 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/15 + 17\/5. Let w = 1 + j. Suppose w*q = 2*l - 97 + 443, l + 88 = q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 39*u**6\/40 - u**4\/12 + 56*u**3\/3 + 496*u**2 - 2*u. What is the second derivative of a(g) wrt g?\nAnswer: 702*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9374693 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + m - 8 = -13, -5*m - 3 = -4*j. Let f(l) = 10*l**2 + 5*l**2 - 6*l**j. Let p(q) = 2*q. Give p(f(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**3*n*u - b**3*u**3 + 6*b**3*u**2 + 30797*b**2 - b*u**2 + 374638*n**2 - n*u**3 wrt n.\nAnswer: -2*b**3*u + 749276*n - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 15 = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p + 5. Let y(s) = 6*s + 5. Suppose 0 = c + 2*c. Let m be (c + (-3 - -4))*-4. Let w(q) = m*v(q) + 3*y(q). Differentiate w(o) with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j - 4*j**2 + 3*j**2 - 3 - 3 - 2. Let v be x(-4). Suppose 0 = -3*a - 7 + 37. Solve 0 = 5*n - v - a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15362*x - 4509. Let p(m) = 38405*m - 11271. Let y(g) = 7*p(g) - 18*v(g). What is the first derivative of y(k) wrt k?\nAnswer: -7681","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 2. Let u(s) = -9*s + 5. Let t(m) = 5*l(m) - 2*u(m). Let g be (-68)\/(-32) - (-2)\/(-16). Let r(o) = 5*o**2 - 14*o**g + o**2. Determine r(t(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001811 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101005 is divided by 100056?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7656 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - 9.79. Let o = u - -0.09. Let y = 6 + o. Put -3, y, -3\/4 in descending order.\nAnswer: -3\/4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9467647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 59. Let g be 108\/h - 2\/5. Suppose 963 = -g*i - 987. What is i rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 550 - -2?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -127*h - 58. Let p be s(-4). Suppose 0 = 26*k - 8*k - p. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 9)*(3 - 3 + r) + r + 0*r - 3*r + 2*r + 3*r - 4*r - 4*r + r + r + (2 + 2 - 2)*(-2*r - r + r) + r + 5 - 5.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 25 - 40 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*p**3 - 4\/7*p**2 - 114\/7*p - 108\/7 = 0. What is p?\nAnswer: -6, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*u - 2424 = 478*u. Let r(w) = w**3 + 5*w**2 - 5*w - 6. Calculate the remainder when u is divided by r(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193522 is divided by 236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 124 = 2*n. Suppose -n + 900 = 2*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1005)\/(-670)*((-123)\/4)\/((-108)\/(-96)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-624)\/(-288) + (-7)\/3)*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13220 + 243?\nAnswer: -12644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2067 at most -2130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11741 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 4, y: 1, u: 4}. What is prob of sequence oc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 3879*x**2 - 78480*x + 393900.\nAnswer: 3*(x - 10)**2*(x + 1313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177346 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/517 in -0.7967, -2\/7, -2\/13, 2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14, 2, 4, 1 in decreasing order.\nAnswer: 4, 2, 1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804317 is divided by 1495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 268240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.4 and -1.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5256 - 3064. What is the greatest common divisor of 48 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -70404\nAnswer: -1\/23468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38613323 and -33276.\nAnswer: 38580047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**4\/c)*c*c**1)\/(c**4*c*c\/(c*c*c**3)) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(288) + (sqrt(288)*-2*-2 - sqrt(288) - sqrt(288)))\/sqrt(9).\nAnswer: -2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 70. Let r be (-1 + 3155)*-10*457*v. Let n = -27013780 + r. What is n rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(-2)\/7*-5. Let -8*k + 2 + 2 - 2*k**4 - 12*k**2 + l*k**3 + 12 = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23239\/40968 - 5\/2276. Let y = 1\/8 + q. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**3 - 14*w**2 + 6. Let d(g) = -6*g**3 + 13*g**2 + g - 7. Let x(a) = 6*d(a) + 5*f(a). Let i be x(-11). Let z = i + -1392. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1410*o**3 + 3*o**2 + 2*o + 1. What are the prime factors of r(-1)?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*y - 4*u, -5*u = -4*y - y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3416\/(-20923))\/((-6)\/(-7)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146721719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(4\/(-20)*(-20)\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*n - 2 - 46*n + 87*n to r + k*n and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9554?\nAnswer: 2, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30010 - 30017. Put 6, 0, -2, q, 7 in decreasing order.\nAnswer: 7, 6, 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 140.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -59 - 46. Let x = q + 17. Let t = x - 29. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052934755 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201556.\nAnswer: 2, 41, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64735138 to the nearest integer?\nAnswer: 8046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94695\/64 or -1479?\nAnswer: -1479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 109*v**2 + 794*v - 626. Determine i(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1155.48 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -251, -378, -505, -632?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - (-7 - -57))*(-2751)\/21?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/((-8)\/((-6)\/(-4)*(-123480)\/1323))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 g when four letters picked without replacement from {o: 5, g: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 481?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -131, -121, -103, -77, -43, -1, 49?\n\"Answer: 4*v**2 - 2*v - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2160 * 1.\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*t - 4 + 52 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p - 2. Let h(y) = y + 10. Let f be h(-8). Let n be t(f). Let q(x) = x**3 - 5*x**2 + 6*x - 1. What is the units digit of q(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(-28*(-15)\/(-105)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r**2 - 4317*r - 33768.\nAnswer: -3*(r + 8)*(4*r + 1407)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, j: 1, n: 7, t: 4}. What is prob of sequence tt?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(1\/5)))*w*(w*w**6)\/w)\/(w*w*w**(-1)*w)**(2\/33) assuming w is positive.\nAnswer: w**(1267\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2431 - -4652. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*((-24)\/9)\/2. Let u be 1*(-4 - 1482)\/(-2). Let q = u + -735. Solve -f = -3*z - v, 0*z + z + v = q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 236?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 7) to base 13.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -15*h - 11. Let u(m) = -4*m - 3. Let i(n) = 9*u(n) - 2*z(n). Let f(t) = -4*t + t + 1 + 4*t. Give -4*f(y) - i(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w**(2\/3))**(-13\/7) assuming w is positive.\nAnswer: w**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -81*w**2. Let l(r) = -22958*r**2 + 45911*r**2 - 22926*r**2. Give 17*l(n) + 6*s(n).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12384 + 37464. Suppose -8*i = -37320 - c. Round i to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(5*(sqrt(78) - (sqrt(78) + sqrt(78)*-2)) + -1*sqrt(78)*4)\/(sqrt(48)\/((sqrt(8) - (sqrt(8) + 2*sqrt(8)))*-3 + sqrt(8))) + 1.\nAnswer: 6 + 210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 7:51 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1725775, -1725777, -1725779, -1725781?\n\"Answer: -2*t - 1725773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 287523524 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -21*t + 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/48)\/((-11)\/(-11))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*c**5 + 110*c wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/((-8)\/36). Let f be 5 + (4\/2 - p). Suppose 4*k = 3*g + 7, 3*k + f = 3*g + 7. Solve g*d - 4*x - 9 = 0, -3*d + 3*x + 6 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -47. Suppose 8*w = -k*w + 7395. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 6*l + 0*l + 1 + 3*l. Let o(m) = -m + 4. Let v be (2 - (-1 - -1)) + 3. Suppose 6*u = u + v. Determine u*o(j) - 3*k(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - y - 2*w - 35, 4*y - w = 50. Let m = -13 + y. Suppose m = -d + 2*d - 18. Calculate the least common multiple of d and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z = -349 - 61 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**2 - 1. Let s be w(1). What is the third smallest value in s, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -50. Let u = d + 21. Solve u = n - 0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 4, 51*c + 2*j - 11 = 46*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 52295\nAnswer: -1\/52295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 3*h - 4*h + (-2 + 1 + 2)*(0*h - 2*h - 6*h))*(11*h + 51*h - 8*h) to w*h**2 + j + l*h and give w.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 1. Let z(n) = -1 - 1 + 8*n - 5. Let w(j) = -15*j + 1. Let s be w(1). Determine s*d(c) - 2*z(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 195, 410, 705, 1080, 1535?\nAnswer: 2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -224937 and 15482873.\nAnswer: 15257936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.5 - 8.535. Round l to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 20 = 0, 3*v + 4*n + 7*n + 4*n - 544 = -7*v + 11*n for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*1)\/sqrt(1800))**2.\nAnswer: 7\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3038 is divided by 138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2088)\/81)\/29 - ((-12)\/(-14) - 2046\/378)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 14. Let l(q) = -209*q + 32. What is the hundreds digit of l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2.8. Let j = 171126.6999959 + -171126.9. Let h = j - u. What is h rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**2 + 243174224*h + 3695856451125136 = 0.\nAnswer: -30396778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4968 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -196220, -392322, -588424?\n\"Answer: -196102*w - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - -3 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -39*x + 396. Let a be m(10). Solve -v = 4*i - 15, i + 3 = -v + a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 16*p**2 - 2*p - 13. Let b = -6 - -9. Suppose -b*n = -2*r - 38, -n = 5*r - 0*n + 78. Is k(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2792 = 4*t - z, 4*z - 3511 = -5*t - 0*z. Suppose -t - 171 = -3*l. Suppose 0 = -c - c + l. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 604*g + 683. Let i(u) = u - 15. Let r(d) = -i(d) + k(d). What is the derivative of r(a) wrt a?\nAnswer: 603","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3063187?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*l**2 + 15*l**2 - 4*l**2)*(3 - l - 3)*(l - 6*l + 3*l).\nAnswer: -26*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.83 + 0.63. Sort n, 4, -16\/5 in descending order.\nAnswer: 4, n, -16\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 62, -99, -1 in decreasing order.\nAnswer: 62, 1, -1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 24. Solve -4*a + g + 13 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3024720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*27\/(-6)*(-4584)\/6876.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/14*(-29)\/(-29)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 352*n**2 + 39*n + 49. Is i(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (61 - 0) + (-7337 - -7243)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/9 + 21541*j\/9 + 7180\/3 = 0.\nAnswer: -21540, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01259291 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*((3 + (sqrt(125) + -1)**2 - sqrt(125)*2*5) + ((sqrt(125) + (sqrt(125) - 1*sqrt(125))*-6)**2 - (sqrt(125) - (1 + sqrt(125))**2)*3)).\nAnswer: -2530 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 + 113. Let l(b) = 2*b**2 + 8*b + 11. Let v be l(-2). Solve -f = 2*d + m, 2*d = v*d + 3*m + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*m + 2, 30 = -4*m + 3*n + 8. Let g = m + 1. Let k be ((-1)\/2)\/(g\/66). Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.251519um to meters.\nAnswer: 0.000001251519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 - 30*a - 6. What is b(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 26\/4)*(-14)\/21. Suppose -l*s = 28 - 8. Let m(z) = -37*z - 17. What are the prime factors of m(s)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - -10021?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1296 - 419. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 - -1.4. Let d = -101.4 + 101. What is the fourth smallest value in d, 0.04, v, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21140, 42057, 62962, 83849, 104712, 125545, 146342, 167097?\nAnswer: 187804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -4, -19, -0.1, 3\/4, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 - 2*k**3 + 178*k - 838*k**2 + 790*k**2 - 153*k to c*k**3 + r*k**2 + j + h*k and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1396?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33121112 - 220010?\nAnswer: 32301102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*k + 3*x - 4*x, 7 = 4*k - 3*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**4\/4 + 13*j**3\/2 + 11*j**2 - 10*j = 0.\nAnswer: -2, 0, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13025385*k. Let x(u) = 11*u. Determine y(x(o)).\nAnswer: 143279235*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1740, 3496, 5308, 7200, 9196?\nAnswer: 11320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*x - 63 = 0, q = -5*x + x + 21. Let l(w) = 8*w**3 + 209*w**2 + 18*w - 124. Let g be l(-26). What is the highest common factor of g and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 659 + 741 + 377*s + 24*s - 873 + 415*s with respect to s.\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/60*18*(-2)\/(-6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -704 - -2697. What are the prime factors of f?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/((-51)\/18)*(-3)\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.936 - -0.936. Sort -303, -0.2, m in ascending order.\nAnswer: -303, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 27948*y**3 + 6*y**4 + 27957*y**3 - 55907*y**3 + 20 in the form i*y**4 + n*y**2 + s*y**3 + w + m*y and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c*(c**(-4\/21)\/c*c)\/c*c*c))))\/(c**(-22)\/c) assuming c is positive.\nAnswer: c**(466\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108\/83 - -531\/166. Let k = -5 + 2. What is the closest to -0.1 in k, 3\/2, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22727445 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 48492.\nAnswer: 242460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q**3 + 5*q**2 - 5*q. Let l(h) = 10*h - 3*h**2 - 7*h - 4*h**3 - 2*h**3. Let s(y) = -y**3 + 5*y**2 + 5. Let k be s(5). Determine k*l(v) + 3*o(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 1 + 6*r - 6 in the form q + w*r and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 65, 107, 173, 269?\n\"Answer: k**3 + 3*k**2 + 8*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8055 - -8057. Solve v*i = 4*c + 16, -7*c - 2*i = -9*c - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*i**4 - i**2 - i**2 + 4*i**2 + 2*i + 90*i**4 - 2 - 19*i**3 to the form v*i**4 + d*i**3 + q*i + s + b*i**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 31*b + 11. Let r(y) = -y + 1. Let s(j) = o(j) - 4*r(j). Let l be s(-20). Round l to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(2) - sqrt(50)))**2 - sqrt(448).\nAnswer: -8*sqrt(7) + 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 + 2*c**2 - 3*c. What is the tens digit of y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -53*v - 10. Suppose 12*s = -10*s - 198. Let j(k) = -107*k - 21. Let p(w) = s*z(w) + 4*j(w). What is the first derivative of p(x) wrt x?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(325) + (sqrt(325) - -3*(sqrt(325) + -1)) - (sqrt(52)\/(2*sqrt(400) - sqrt(400))*-4)**2.\nAnswer: -177\/25 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -0.07 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 9:56 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - (((-6 - 7) + -24 - -21) + 25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -12 (b) 4 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 5*k + 53. Does 11 divide t(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130*r + 14 - 14 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 9, h: 4, p: 4}. Give prob of picking 1 o, 1 q, and 1 h.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 143062555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 103336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 103c7 + 48?\nAnswer: 10442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -3. Let x be 14\/w + (-4)\/(-10). Let s(p) = 5*p - 7. Let v be s(1). Put -3, x, v in ascending order.\nAnswer: -3, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 26?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 515870819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92219094 by 6.\nAnswer: 15369849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x + 91*x**2 + 42*x + 46*x**3.\nAnswer: 46*x**3 + 91*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10750 + 10942. What is the highest common divisor of a and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 3) to base 15.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine quarters of a milligram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5247764?\nAnswer: 2, 17, 229, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/9 + 304*a**2\/9 - 23405*a\/9 + 45602\/9 = 0. Calculate a.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866452 is divided by 288814?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -5, -0.3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(133) + sqrt(133)*-2 - sqrt(133))*3)\/(sqrt(252) - (sqrt(252) - (sqrt(252) - 5*sqrt(252) - sqrt(252))))*1)**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192417 and 558?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -4, -1\/2, 10333 in ascending order.\nAnswer: -4, -1\/2, 89, 10333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 28 = -4*u - 3, w + 14 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 362744546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z + 3*z + 1 - 6*z + 14*z**3 + 17*z**3. Let y be q(-1). Let r = y - -34. Solve r*n - 8 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5495 + -3898. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 898, 866, 824, 778, 734, 698, 676?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 13*y + 630022, 2*g = 4*y + 141547 + 173459. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 85. Let b = 81 - i. Round b to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l + 152. Let g(t) = 2*t**2 - 9*t + 304. Let k(s) = 3*g(s) - 5*v(s). Is k(0) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}