{"text":"Question: Work out -1.6860552 - -26416.\nAnswer: 26414.3139448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 6:32 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5d669 - 4?\nAnswer: -5d66d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*c - 5*c + 3*c)*(-3 + 5 + 0) + (-c - 2*c + c)*(0 + 1 - 3) - 1 + 1 - 8*c + (-3 + 3 + 3)*(-2*c + 3*c - 2*c) - 2*c + 1 - 1 as f*c + x and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**2. Let r(a) = 594*a + 25. Give r(z(f)).\nAnswer: 1188*f**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uzukskkskkskjssjkk. Give prob of sequence ksk.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*s**3 + 113*s**2 - s - 123 wrt s.\nAnswer: 30*s + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of 5*c**3\/3 + 2*c**2 + 3*c + 3. Let q be b(-2). Calculate the greatest common factor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 - 1148*w + 113008. Determine j(109).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, 38, 0, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a - 15*a - 7*a - 3*a.\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 434 and 896?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 69 + 51. Calculate the greatest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(-8)*d**1*d*(d**(-1\/7)*d)\/d*d**10\/d assuming d is positive.\nAnswer: d**(139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 - 36*l + 1124. What is z(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -13. Let u = 34.1 + -30. Let v = j + u. Which is the smallest value?  (a) 2  (b) 0  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*u + 54*u + 1567 + 193 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29 - 26. Which is the nearest to -0.2?  (a) d  (b) 5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -336*y**6 - 50*y**2 wrt y?\nAnswer: -40320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 PM and 12:40 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 2*d + 19. Suppose 89 = 3*i + 4*b, -i + 4*b = 4*i - 127. Let y = i + d. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -101*k**3 - 7*k**2 - 13*k. Let d be o(-3). Which is smaller: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j + 1. Let u(p) = 3 + 7*p**2 + 2*p**2 - 3*p**2 - 4*p. Let v(l) = -4*o(l) + u(l). Let x(h) = -2*h - 7. Let s be x(-3). What is v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 572902051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of 4*d**2 - 2*d + 13. Let k be r(1). Let f(c) = -5*c + 1. Let z(h) be the first derivative of -h**2\/2 + 2. Give k*z(l) - f(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 134313430.\nAnswer: 2, 5, 17, 73, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/(-3))\/((-4)\/12). Let k be 272\/(-9) + n\/(-18). Let i = -30 - k. Solve -5*c + i*c = 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 15 - 54?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230424 is divided by 365.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3*x + 1. Let m(s) = -6*s - 2. Let d = 127 - 131. Determine d*m(z) - 7*a(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of -7\/24*p**4 + 1\/60*p**5 + 0*p + p**2 + 7\/6*p**3 + 0. Let q be y(7). Calculate the highest common divisor of 49 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9+237497529\nAnswer: 237497538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26.58 - -0.08. Let w = y + 27. Put w, 4, -0.01 in decreasing order.\nAnswer: 4, w, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -4*w**2 - 2*w - 2. Let g(v) = 28*v - 12 + 15 - 25*v + 5*v**2. Determine -2*g(y) - 3*r(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 + 45 + (-13 - -11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(500) + 2 + sqrt(720) + (1 + sqrt(80) - (sqrt(35)\/sqrt(567))**2).\nAnswer: 319\/81 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10\/15*89754\/4. Let m = 74431 + -41772. Let r = x - m. What is r rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -110 by -23853.\nAnswer: 110\/23853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 111225 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003027 rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 6780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 3*l**2 - 45*l + 39. Let f be n(14). Let y be (f\/(45\/(-6)))\/((-56)\/(-280)). What is the highest common factor of 5 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.03375 + -0.029. What is q rounded to four dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s - 2*s + 0*s + 10. Let k = 22 + -22. What is u(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.026 times 7?\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45\/20*((-7744)\/(-462))\/(-22).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 463.8 + -466.797. Let n = v - 0.003. Which is smaller: n or -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -247, 420, 1087, 1754, 2421, 3088?\n\"Answer: 667*b - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4114, 3715, 3328, 2965, 2638, 2359?\n\"Answer: 2*a**3 - 6*a**2 - 395*a + 4513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 41396182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3512.501 - 3513. What is the smallest value in 3, 2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - h + 0)*(h - 2*h + 3*h)*(-24 + 49 - 8)*(-1 + 1 - 1).\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -11*q**4 - 11*q**3 - 7*q**2 + 29*q. Let u(h) = 5*h**4 + 5*h**3 + 3*h**2 - 13*h. Let v(n) = -4*g(n) - 9*u(n). Let v(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1c - -4d6b66?\nAnswer: 4d6b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 18*u**2 - 1311*u + 413. Give n(71).\nAnswer: -1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 + 6*j**2 - 2*j - 12. Give g(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 94923 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -4, -1, 151, -9.2 in increasing order.\nAnswer: -9.2, -7, -4, -1, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 813.\nAnswer: 2\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 383373 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 607728 and 53232.\nAnswer: 673970352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - -166) + -4 - 2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1656597 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 0  (b) 3  (c) -0.4  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -47\/31?\nAnswer: -47\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 940 and 43475.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4591 + -4581. Solve -2*r - i = p, -13*p + 11*p + 2*r = 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.017 + -0.01. What is k rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*x - 65*x - 44 = 0. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 20 = -5*w, w = -4*b - 4*w - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1047666 and 8021?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4\/5 + 3\/5*p**2 + 0*p + 1\/5*p**3 = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005171 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from lflllpflp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -g**2 + 99815*g + 1796994 = 0.\nAnswer: -18, 99833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t + 11. Let i be r(-9). Is 13 a factor of 35\/i*(-52)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 245*d**2 - 210*d + 45 = 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44998 and 1675654?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2814 + 3012. What is the smallest common multiple of 693 and f?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19 is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*112\/(-56)*2\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2\/9 - 208454*o - 1876088\/9.\nAnswer: 2*(o - 938044)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 86 - 84. Suppose -m*k + 11*k = 27. Suppose -211 = -l + k*z + 166, -l + 363 = 4*z. Is 53 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*f**2 - 3*f**2 + 2*f**4 + f + 2*f**2)*(4 - 4 - 2*f).\nAnswer: -4*f**5 - 8*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-38)\/(-6) + 2\/(-6). Suppose -5*v + 0*v = 10. Let d be v*(-1)\/(g\/(-27)). Is -9 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -c**5 + 291819*c**4 + 4*c**2 + 22238*c + 2.\nAnswer: -60*c**2 + 7003656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/6 - (-43)\/3. Let h(m) = m**3 + 7*m**2 + m - 5. Let v be h(-6). Let a = v - u. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.53 + 1.53. Sort 2\/3, m, -17\/2 in decreasing order.\nAnswer: m, 2\/3, -17\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (8 - (-3 - -6) - 2) - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*k + 4 = -4*o, 5*o + 5 = 4*k. Let d(j) = j**3 + 4*j**2 - j + 1. Let h be d(-4). Suppose -107 = -109*t + 2. Put t, h, o in decreasing order.\nAnswer: h, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - (-5 + -1*sqrt(200))) + sqrt(200) + (4*(-5 + sqrt(2) + 0))**2 + ((sqrt(490)*-3)\/sqrt(5) + -4)**2 + 4.\nAnswer: 38*sqrt(2) + 1339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ylly?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, 17, 240\/13?\nAnswer: 240\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 w when three letters picked without replacement from wwzzwt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let c be (15\/9)\/5*(2 - -7). Let l(q) = -q**3 - 5*q**2 + 5*q - 7. Let r be l(-6). Let s be 1 - r\/((-4)\/(-6)). Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.3715 times 66?\nAnswer: -552.519","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 4 = -4*a - 11, -2*a - 12 = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 3*n + 10747, -42948 = -10*z + 6*z - 4*n. List the prime factors of z.\nAnswer: 2, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 + -0.104726.\nAnswer: -0.404726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 238592 or 238579?\nAnswer: 238592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + 3*a**2 + a - 1. Let g be u(-3). Let l be 3\/g*(-8 + 4). Suppose -l*t = -5*t + 34. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -3, 1\/10, 0.4, -0.06?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5135 - -100?\nAnswer: -5035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9) + sqrt(27)\/sqrt(3)*-4)\/sqrt(768).\nAnswer: -3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 7*c**2 - 206*c + 772. Give h(24).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - -1)*(-1 + 2). Let t = 40 - 36. Suppose 0 = -v - t*c - 12, -12 = -4*v + 7*v + 4*c. Solve 4*w = -x - x + 14, -w + x - g = v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 166904 - 1207.\nAnswer: 165697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, g: 1, o: 1}. What is prob of picking 1 g and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 282.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49 - 71 + 4*h**2 - 139 - 3*h + 259.\nAnswer: 4*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 4*r**2 - 2*r - 3. Let j be m(-3). Suppose -3*t + j = -36. What is the highest common divisor of t and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1570169091 to the power of 1\/3, to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22*(-2 - -1)*-1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -151 + 154?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m - 8. Let r be b(-6). Let f be 24\/(4\/r)*3\/(-2). Calculate the greatest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31 + -22.01. Let b = u - 8.571. Let m = b - 0.46. Round m to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from xxxxiixxxxxxixxxii?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in twenty-five halves of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 42551560 to the power of 1\/2, to the nearest integer?\nAnswer: 6523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -262, -491, -700, -883, -1034, -1147?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -53, -108, -175, -260, -369, -508, -683?\n\"Answer: -j**3 - 48*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*d + 15*d + 19*d - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 68\/(-68) + -1*12. Let a(o) = -o**3 - 10*o**2 - 22*o + 5. Let y(m) = -m**2 + m + 1. Let r(c) = a(c) + 4*y(c). What is the units digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((-2*(sqrt(119) + (sqrt(119) - 1*sqrt(119))) - sqrt(119)) + -1*sqrt(119)*-5 + sqrt(119))*6)\/((sqrt(126)\/sqrt(2)*-4)\/(sqrt(9) + 2*sqrt(1089))))**2.\nAnswer: 728433\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*j + j. Let n be (-4)\/(-11)*(-2)\/j. Put -5\/4, n, -2 in ascending order.\nAnswer: -2, -5\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/1113 and 53\/3093?\nAnswer: 1147503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 370.045 + -370. Which is the smallest value?  (a) 0.2  (b) l  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -6199*k**3 + k**2. Let h be i(-1). What is h rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p**3 - 8*p**2 - 10*p + 1. Let f be s(-2). Let n = 115 + -102. Sort -5, n, f, 3 in descending order.\nAnswer: n, f, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33 by -1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 84 or -20630\/17?\nAnswer: -20630\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f**2 + 2*f - 44. Let o be l(5). Solve -20*c + o*c - 16 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 11*u + 112. Which is bigger: u or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118478*d**3 + 280050*d**3 - 132056*d**3.\nAnswer: 29516*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 369 - 738 + 3*m**2 + 369.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, w: 2, s: 8, d: 1, t: 5}. Give prob of sequence lttd.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 5:18 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**3 - 14*h**2 + 3*h + 3. Calculate m(6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 9*o + 2. Suppose -2*p - 4 = 14. What are the prime factors of m(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 113 = -c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*l - 14. Suppose -3905*n + 3910*n - 60 = 0. Suppose -4*q = 0, -l*s + n = 2*q - 4. Solve x - s = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.3 + -7.4. Let a = 1.26 + g. Let k = 0.87 + a. Put -0.5, 2\/19, 0.5, k in ascending order.\nAnswer: -0.5, k, 2\/19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 23, -2, -4, 501, -21 in increasing order.\nAnswer: -21, -14, -4, -2, 23, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*s - 3 - 4*s**2 - 13*s - 14*s to the form z + g*s**2 + i*s and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20662976449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 51?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.39 + 0.39. Sort v, -3, -2\/13.\nAnswer: -3, v, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 4*u + 130 = 14, 0 = 4*m - 3*u - 115. Suppose b = 3*q + 5*b + 4, -5*q + m = -2*b. Solve -13 = -3*w + o, -w - q*w - 4*o + 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -150\/7, -1, -5, 0.3, 7, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20873 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 142 divided by -40204.\nAnswer: -71\/20102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4006652 by -4.\nAnswer: -1001663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -232*k**2*m**2 - 549*k**2*m + 147052*m**2 wrt k.\nAnswer: -464*k*m**2 - 1098*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 12 = 5*g - 14, -4*g + 25 = -5*i. Suppose g*p - 490 = -0*p. Suppose -17*r + 19*r = 28. Calculate the highest common divisor of r and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -2) + (3 - 6) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.3 + -0.6. Let g = -0.36 + 0.06. Let h = g - z. Which is the third smallest value?  (a) 0.4  (b) -5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = -b - 2*q - 21, -5*b = -2*q + 33. Let s = -5732.64 + 5732.94. What is the smallest value in s, -3.2, b, -3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -634, -636, -640, -646, -654, -664?\n\"Answer: -q**2 + q - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000608496 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -66465.31 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1038174, 1037677, 1036336, 1033731, 1029442, 1023049, 1014132?\nAnswer: 1002271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/14 + 130\/(-35). Let w = 15 - l. Let p = -14 + w. Let a(n) = -n**3 + 4*n**2 + 5*n + 6. What is a(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -110*o**2 + 32*o**2 + 74 - 76.\nAnswer: -78*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -45\/2 and -11\/1204.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s - 4. Suppose -5*x - 31 = -2*w, 4*x - 5*w + 32 + 3 = 0. Let o be c(x). Let y = 12 - o. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - -1. Let p(i) be the second derivative of 0 + 10*i + i**2 - 1\/6*i**3. Calculate p(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30727262 (base 8) to base 14.\nAnswer: c20a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16244 and 8437972.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/12*(-3)\/(-603))\/(6\/36)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -5*m**2 - 6635*m - 1358610 = 0.\nAnswer: -1074, -253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-11 - -18) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/5)\/n*n*n)**42)**(6\/19) assuming n is positive.\nAnswer: n**(756\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9645344.\nAnswer: 2, 73, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -59 - -65. Suppose 5*q + 4*t = 18, 9 = 4*q - 2*t - 21. Calculate the greatest common factor of o and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4484 greater than -4480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9, -12, -65, -180, -369, -644, -1017?\n\"Answer: -2*c**3 - 13*c**2 + 50*c - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 4*j - 5*z, 2*z + 765 = 3*j - 0*z + 758 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6501 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 360 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*j + 2*j - 2*j)*(-1 + 2 + 1) + 4*j + 4*j - 2*j)*(2*j - j - 21 + 26).\nAnswer: 10*j**2 + 50*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1*o\/o**11)\/(o\/((o**(-15)\/o)\/o)*o*o*o*o**(1\/6)) assuming o is positive.\nAnswer: o**(-181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 6*a**2 + a - 7. Calculate v(7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -18*o**7\/7 - 51*o**5\/5 - o**4\/4 + 8*o**3\/3 + 3199. Find the third derivative of y(j) wrt j.\nAnswer: -2160*j**3 - 1224*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0411*0.54\nAnswer: 0.022194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + 4*l + 4. Let a be r(5). Suppose 0*g = -g + 2. What is the remainder when a\/2 - 7\/(-2) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4\/1689 - 248263\/8445. Which is smaller: i or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + (-522)\/(-36) + -2)\/(2 + 25\/(-10))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -85\/42 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h - 2. Let q(x) = x - 1. Let o(z) = -5*q(z) + 4*w(z). Let l = 23300 - 23296. Determine o(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b - 4. Let i(t) be the second derivative of 2*t**3\/3 - 4*t**2 + 21*t - 2. Give 4*i(g) - 9*x(g).\nAnswer: -2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4930 - 21)\/(2\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 10:09 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-162)\/90)\/((-6)\/70). Suppose 0 = 4*l + 5*i + c, -l = 4*l - 2*i + 18. Let j = -3 + 0. Do l and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4554461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q - 3*v + 122 = 18*q, 5*q - 4*v = 282. Differentiate -149*z**3 + 230 - 24*z**3 + q*z**3 - 15*z**3 + 13 with respect to z.\nAnswer: -390*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of -j**8\/840 - j**4\/12 + j**3 - 3. Let o(i) be the third derivative of t(i). Differentiate o(q) with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -187712 in 0, -26, -1, -2\/15?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 309461486189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = 4*s + 16, 0 = j - 12*s + 11*s + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/38)\/(15\/(-10)). What is the nearest to 2 in v, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 18499860 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 + 4*t - 4. Let s be u(3). Let n be s + 4 + (-56218)\/(-12). Let w = 4702 - n. Find the common denominator of 38\/7 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 122202213 (base 4) to base 2\nAnswer: 11010100010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*y**2 + 25*y**2 + 32*y**2)*(0 + 0 + y)*(1 - 1 - y).\nAnswer: -43*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3\/2, -5\/4, -5, 11, -48, 77?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42.6 + -13.1. Let j = -29 + i. Which is the nearest to -0.2?  (a) -5  (b) j  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 4*n - 1116 = 0, 5*q + n = -n + 2742. What is the greatest common divisor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 + 6*j**2 + 6. Let x be k(6). Let w be 3*4\/(4\/3). Suppose -m = -x - w. What is the remainder when 29 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 902590\/583 - 2\/11. Suppose d - 4781 = -5*m - 4*x, m - 640 = -3*x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, a: 1, m: 1, d: 2}. Give prob of sequence md.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -109 - (76 + -19 + -111).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -141555*h**2 + 281680*h**2 - 140122*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 366 = 5*w + 446, -4*g = -8*w - 84 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from uuouwopxoouuuppu.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 - 20. Calculate the greatest common divisor of 8 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14364 = -319*f - 23*f for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 1 + (-36)\/27?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6 + -111?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -163, -164, -165, -166, -167?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -214*c**2 - 218*c**2 + 865*c**2 - 217*c**2 - 213*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 1 = 4. Suppose -4*u - 5989 = -v*j, 4*j + 2*u - 5926 = 2030. Let t = j - 3909\/2. Calculate the common denominator of 61\/18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7738.971t in kilograms?\nAnswer: 7738971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001269035 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 + 15*c**2 - 14*c + 4. Let s be w(14). Let f(d) = -d**2 - d - 8. Let n be f(0). Let g = n + 10. Solve 1 + s = -b + g*z, 5*z - 18 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 77475 and 54?\nAnswer: 1394550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 8, 15, 26?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -5, 2\/1257, 5?\nAnswer: 2\/1257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1003122 - -10?\nAnswer: 1003132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -1, 0.5, -1\/3 in descending order.\nAnswer: 0.5, -1\/3, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 125*h**3 - 2*h**2 + 1. Let t be c(1). Let l = t - 221. Let d = 64 - l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -4*o. Let h(q) = -8*q - 1. Calculate -5*a(g) + 2*h(g).\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 71562458 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - 3725257?\nAnswer: -3725263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -6*(sqrt(1008) - -5*(3 + sqrt(1008))**2) - (3 + (sqrt(1008) + -1*sqrt(1008)*-3 - sqrt(1008) - 5*(sqrt(1008) + -1)))**2.\nAnswer: -34604 - 1848*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in 23, -1\/90, 22?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of c**6\/200 + 19*c**5\/150 + 107*c**4\/120 - 4*c**3\/3 + 802*c**2. Suppose n(w) = 0. What is w?\nAnswer: -8, -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2199 - 2197. What is the closest to g in -21, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**3\/4 + 51*q**2 + 3085*q\/4 - 14322 = 0. What is q?\nAnswer: -24, 11, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 5*l**2 + 2*l - 5. Calculate the smallest common multiple of 8 and q(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -45 + 69. Let i be 6\/n*20*(-1 - 0). Let u(r) = -r**3 + 9*r + 0*r**3 - 4*r - 2 - 4*r**2. Determine u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*d + 15*d = 0. Suppose 3*r + d*l = -2*l + 182, 2*l + 166 = 3*r. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.23  (b) -26  (c) -2.5  (d) 0.2  (e) 4  (f) 24\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.6  (b) 13.1  (c) 1\/2  (d) 27  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 54676 and 12.\nAnswer: 656112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 6*i**2 - 7*i - 10. Let h(k) = 8*k**3 + 4*k**2 + 5*k + 2. Let b be h(-1). Give p(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -5  (c) -16  (d) -1961  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 6 = -2*w, 0 = 3*w + 9*s - 10*s - 44. What is the remainder when w is divided by 3*3 - (3 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pypypppypppppppypppp. Give prob of sequence yppy.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0012289 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 - 12 - (6 + 2 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -537 - -534. Let l(h) = 2294*h**2 + 5*h + 8. Is l(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*d**2 + 0*d**2 + 22*d**2)*(1388 + 10*d - 76*d - 1389) in the form p*d**2 + z*d + g + y*d**3 and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*m + 41 - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 8*q + 15 = 6*q, 4*s + 4*q + 40 = 0. Which is the biggest value?  (a) 0  (b) -3  (c) s  (d) -0.1  (e) -28\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 + 6*s + 6. Let j be b(-6). Let n = -2 + j. Suppose 8 = -n*u + 24. Let r(p) = -p**3 + 4*p**2 + 2*p - 2. What is r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-140)\/10*(12\/3)\/(-32).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1012694070 and -0.057?\nAnswer: 1012694070.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(4\/33)\/h*h*h*h*h\/h**(1\/3)*h)**10 assuming h is positive.\nAnswer: h**(1580\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 46384290 = -2*i, 4*s + i - 2*i - 46384275 = 0. Suppose -2496070 = -2*w - s. Round w to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1028 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 652 is divided by 428?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 0.56, -2\/5, 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*y + 2 = -38*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.03?  (a) -1\/2  (b) 0  (c) -0.3  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l**5 - 1506*l**4 + 8951*l**3 + 73554*l**2 - 80640*l - 540000 = 0. What is l?\nAnswer: -4, -3, 3, 10, 1500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j. Let k be 6*(55\/30 - 1). Let x(y) be the third derivative of 0*y**3 + 0*y**4 + 0 + 1\/60*y**k + 0*y + y**2. Give x(l(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1294, -1406, -1592, -1852, -2186, -2594, -3076?\n\"Answer: -37*i**2 - i - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b**4\/5 + 61932*b**3\/5 - 371889*b**2\/5 + 139494*b - 77505 = 0. Calculate b.\nAnswer: -5167, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0503 + -0.9497. Which is the closest to v?  (a) -1  (b) 2\/175  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 390 and 144554592.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/9, 126198, -3, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 335*k**4 - 352*k**3 + 2*k - 5567735 wrt k?\nAnswer: 1340*k**3 - 1056*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wsd when three letters picked without replacement from {w: 1, c: 2, d: 1, s: 1, u: 2, k: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3373.83 less than -21940?\nAnswer: -18566.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 907157939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 5*n - 3. Let k be 0 + -1 + 0 + -2 + n. Sort -38, k, 1.\nAnswer: -38, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/7 in -2\/13, -1027, -1, 5, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 - 10 = h. What are 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: 313249412\/11 or 28477220?\nAnswer: 313249412\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, 2, 2\/15, 31, 0.2, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 167825 + 52744.\nAnswer: 220569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - 15\/6) + (-7)\/(-2). Suppose k = -2*a + 23, a - y*a + 3*k + 31 = 0. Suppose 15*t - 1175 = a*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 1:29 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 17 = -4*j, -5*d + 2*j + 5 = -0. Let i(r) = 3*r**2 + 1. Let p(c) = 9*c**2 + 2. Let o(b) = -i(b) + p(b). What is o(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - f = -64. Suppose 10*b = -242 - 18. Let w(k) = -k**3 - 28*k**2 - 55*k - 30. Let j be w(b). What is the greatest common factor of j and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 47392 and 64.\nAnswer: 94784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -129 - -131. Let z = -5.8 + 29.8. Let d = -23.6 + z. What is the closest to x in -1, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 126 - 62. Suppose -4*j = 32 - n. Solve u + u = -j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (996\/154 + (-18)\/99)\/((-144)\/2016).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 753312*c - 251102*c - 15*c**3 - 251105*c - 251105*c + 98*c**3.\nAnswer: 83*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h**3 - 2735*h**2 + 209825*h - 3779125 = 0. What is h?\nAnswer: -617, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*a**3 + 2*a**3 - 2*a**3 + (9 - 9 + a)*(-a**2 + 5*a**2 - 3*a**2) - 2*a**3 + 3*a**3 + 0*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (-18 + (14 - 4) + -102 - (-10 + 3))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = -5*x - 29, 3*p - 5*x + 25 = 44 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g. Let o(u) = -221*u - 23. Let n(p) = -441*p - 57. Let v(j) = -2*n(j) + 5*o(j). What is b(v(h))?\nAnswer: 223*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 838 - -1097.5. Let x = -1905.5074 + a. Let d = 30 - x. What is d rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -31*j**3 - 67*j**2?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (0*(4 + -3))\/(-4) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/208 and -91\/4768.\nAnswer: 61984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8902 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 6*m - 5*m, -6*m = -2*m + 5*d. Solve -2*w - 2*w - 4*i - 24 = 0, -w + 4*i + 9 = m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 + 5*w - w - 6*w - 2*w.\nAnswer: -4*w + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 5, u: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(11\/5)\/n**(-9))\/(n\/n**(-3)*n*(n\/(((n**(-4)*n)\/n*n)\/n))\/n) assuming n is positive.\nAnswer: n**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-78)\/(-14) + 7300\/5110. Solve x*o - 16 = 3*o + 3*l, l = 5*o - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 103877486*w**3 + 212978187*w wrt w?\nAnswer: 623264916*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.6 + 3.4. What is the fourth biggest value in -10, 0, c, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5228\/5 - -4939\/5. Is -58 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*a*b*d + a*b - 3*a*d**3 + a*d**2 + 28*b*d**3 + 31*b*d**2 + b wrt a.\nAnswer: -5*b*d + b - 3*d**3 + d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/130 and 55\/208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s + 136. Determine q(-90).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 12.02, -29.45 in ascending order.\nAnswer: -29.45, 0.07, 12.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 32*m**2 - 30*m**2 - m**2. Let h(s) = s**2 + 113*s. Calculate n(h(p)).\nAnswer: p**4 + 226*p**3 + 12769*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 m when four letters picked without replacement from {m: 2, c: 1, j: 2, h: 1, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 380566942 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 v, 1 n, and 1 i when four letters picked without replacement from {l: 1, j: 1, d: 2, n: 2, v: 2, i: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17 and 0.09077782.\nAnswer: -1.54322294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12485613?\nAnswer: 3, 7, 37, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103 = 5*t + 3*w, 0 = 5*t + 3*w + w - 104. Let b be (6\/(-4))\/((-5)\/t). Sort b, 0, 4.\nAnswer: 0, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170252572 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.022 - -3.978. Let x(t) = t**2 - 3*t + 1. Let a be x(1). Let q = 191 - 1339\/7. What is the closest to q in r, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/(-24))\/(3*4\/144)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1506 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3b55 + -eeb?\nAnswer: 2b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4774*g**2 + 3099*g**2 + 1677*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 10*j + 23. Determine w(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13974761 and 3?\nAnswer: 41924283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 24, -3, 6, 11 in increasing order.\nAnswer: -3, -2, 6, 11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -415, -830, -1245, -1660?\nAnswer: -2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -4*f - 4*s - 209, -154*s - 176 = 42*f - 152*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35274, 35269, 35264, 35259?\nAnswer: 35254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 1  (c) 1\/7  (d) -16  (e) 2\/15  (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 2935 = 2*j - 3*j, 965 = m + 3*j. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -126842.69 to the nearest one thousand.\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 346624992.\nAnswer: 2, 3, 7, 171937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -201+1.38\nAnswer: -199.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3 - 6 = 0. Suppose 0 = 5*h - 10, 0 = 3*d + h + 1 - z. Let i be (-29)\/(-3) + (-2)\/(-6). Calculate the greatest common divisor of i and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 25 = t. Suppose -5*k + t = -5. List the prime factors of -15*(-1 + k\/(-10)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - -1)\/(-8*16\/6740096). What is the highest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1869516 (base 10) to base 4.\nAnswer: 13020123030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**5*s*s*s\/s**(2\/5)*s)\/(s**0*s**2) assuming s is positive.\nAnswer: s**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ribebreerirrivl. Give prob of picking 2 b, 1 i, and 1 e.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 46993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 609, 7, 104, -1 in increasing order.\nAnswer: -1, 7, 104, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(11)*-2*-4.\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 23. Let y = u + 8.1. What is the closest to 1 in 0.4, y, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002332753194 to seven dps.\nAnswer: -0.0023328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-1*sqrt(65))\/(sqrt(10)\/(sqrt(6)\/sqrt(3))) - (sqrt(117) - -2*sqrt(117)*6)\/(6*sqrt(36)).\nAnswer: 59*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 45\/2069657?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (-2 - (3 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n*n\/(n**(2\/15)\/n)))\/n**(-4\/15) assuming n is positive.\nAnswer: n**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(2\/3)*f\/(f\/f**0*f)*f*f*(f**(-2\/9))**40*((f\/(((f*f*f**(-1))\/f)\/f))\/f)**(-26)*(f*f\/f**(2\/11))\/f*f**(-2\/9) assuming f is positive.\nAnswer: f**(-3230\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p**2 + 3*p**2 + 3*p**2)*(-2*p**2 + 2*p**2 + p**2) - 2*p**4 + 2*p**2 - 2*p**2 + 3*p**4 - 14*p**4 + 0*p**4.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42918, 171759, 386494, 687123, 1073646?\nAnswer: 1546063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**2\/5 - 12*o - 160 = 0. What is o?\nAnswer: -40, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 0*x = -2*x - 18, 0 = 2*a - 5*x - 12. Let c(g) = -11*g - 1. Let f be c(-1). Let w = f - a. Solve u + 20 = -4*v, w*v + 20 = -4*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 4 = -3*z, 0*z + 3 = -3*p - 3*z. Is p - 3 - (-178 + -3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 2258*l - 2258*l + 6*l**2 as v*l + t*l**2 + b and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 2\/109  (c) 12  (d) -1  (e) 0  (f) -5\/3  (g) 1145\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 23*o**2 - 298*o - 4. Let v be a(15). Which is smaller: v or 4904\/7?\nAnswer: 4904\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8771 + 13*t**3 - 11*t - 4398 - 4375.\nAnswer: 13*t**3 - 11*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117235 is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 76\/(-4 - -3). Let x = t - -79. Let q be ((-12)\/(-9))\/((-2)\/(-36)). What is the highest common divisor of q and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8057*p**2 + 4300*p**2 + 4305*p**2.\nAnswer: 548*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 20437754 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 197 + -120. Suppose -5*f + 2*a = -39, -5*f + 5*a + 45 = -0*a. Calculate the highest common factor of f and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 4*s + 25, -5*w + 7*s - 4*s - 10 = 0. Let g = -12 + 14. Suppose 6*u - g*u + 5*a = -37, -4*a - 14 = -2*u. Put w, u, -4 in descending order.\nAnswer: u, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-76)\/15)\/(8\/(-12)))\/((-70)\/175)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-13832)\/(-1820)*(2\/(-4))\/1. Which is the nearest to v?  (a) 2\/5  (b) 5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 32*y. Let l(t) = 432*t**2 - 80*t + 80. Let f(b) = -33*b**2 + 6*b - 6. Let v(q) = -40*f(q) - 3*l(q). Determine g(v(c)).\nAnswer: 768*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1315 - 1310. Let k = 1 + -0.6. Put 3, -5, m, k in descending order.\nAnswer: m, 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -3912\/5*x + 956484\/5 + 4\/5*x**2 = 0.\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l - 2. Let d be y(2). Let i = -0.086 - 0.014. Sort i, 3, d in increasing order.\nAnswer: i, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -96*l - 7788. What is o(-83)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 287 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**2*u**1)**(-5\/8) assuming u is positive.\nAnswer: u**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.5 - 0.51. Let i = 2.99 - v. Let o = 1935 + -1935.1. What is the closest to -0.1 in o, i, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/564 and -121\/564.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7652910 or 30611635\/4?\nAnswer: 7652910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -41\/5, -176\/5, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d - 2 + 2. Let w(x) = -3*x**2 - 8*x + 8*x + x**2. Determine w(c(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/6 and 39\/42 + 12\/(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (52*t + 12*t - 17*t)*(55*t**3 - 13*t**3 - 25*t**3) in the form q*t**2 + b*t + x + v*t**3 + z*t**4 and give z.\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -958\/139 at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 3*y**2 - 3*y + 5981. Is q(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 6 = -2*b, -5*i - 21 = b + b. Let s be (2\/3)\/((-10)\/(-45)). Solve 4*m - 13 = 4*j + 11, b*j + 13 = s*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -14*m**2 + 6*m - 12. Let i(q) = 40*q**2 - 17*q + 34. Let r(a) = 17*c(a) + 6*i(a). Let v(l) = 2*l - 39. Calculate v(r(s)).\nAnswer: 4*s**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2394 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h + 4*h + 4*h**2 - h**3 + 6 - 4*h. Let l be r(4). Let s(g) = -12*g - 1. Is 13 a factor of s(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + c. Let g(l) = 2*l. Let o(k) = -3*k - 22. Let y be o(-8). Let w = -4 + 3. Determine w*g(m) + y*x(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of 65*g**2\/2 - 152*g + 151. What is the units digit of p(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k + 3*k**3 - 4*k**2 + 2*k**2 + k**2. Let y be r(1). Suppose -2 = -y*g + 34. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - h**2 + 241*h - 1347. Calculate y(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*w + 1)*(-2*w + 5*w + 9*w)*(6*w**2 - w**2 - 2*w**2)*(17*w - 5*w + w).\nAnswer: -936*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5297490 divided by 10?\nAnswer: 529749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6968 = 22*k + 66*k + 180*k. Let z(h) = -30*h**3 + h**2 - 1. Let v be z(-1). Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-6\/5)\/(n*n*n*n*n\/n**(-3\/13)))**(2\/77) assuming n is positive.\nAnswer: n**(-76\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k + 1. Let y(z) = 4*z - 13. Let q(g) = 5*p(g) - y(g). Does 3 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1*(sqrt(66)*-2 - sqrt(66) - sqrt(66)))\/(sqrt(6) + sqrt(36)\/(sqrt(18)\/sqrt(3))).\nAnswer: 1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.09043 + 0.40957. Which is the third biggest value?  (a) -21  (b) h  (c) -14  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m**3 - 2*m**2. Let v be y(-2). Let i = -13 - v. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -24 - 1412732?\nAnswer: -1412756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u - 13*u**2 - u**3 + 12*u**2 - 4*u as q*u**2 + i*u**3 + w + y*u and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1638 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 4. Let n(w) be the second derivative of 2*w**3\/3 - 2*w**2 - 31*w + 2. Does 8 divide n(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - a - 1)*(-26*a - 224*a + 33*a)*(-1 + 2 - 2)*((4 - 4 - 2)*(0 + 3 - 1) + 1 + 0 + 0) to r*a**2 + s + t*a and give r.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10.7 + -12.56. Let p = v + 1.860093. What is p rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**2 + 3*h**2 - h**2)*(4*h**2 + 6*h**2 - 3*h**2).\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/72)\/((-1)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1801375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -15*z - 87. Let i(n) = -46*n - 305. Let o(s) = -2*i(s) + 7*v(s). Let t(w) = -13*w + 2. What is -4*o(f) + 3*t(f)?\nAnswer: 13*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 d when four letters picked without replacement from zdvvvdzrvmmccd?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 AM and 6:46 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8119 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (-75)\/(-25))*65\/10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-696436)\/(-92984) - 405\/54.\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217 a factor of 146139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 12452 plus -14?\nAnswer: 12438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-1\/4)*a*a*a)\/a**16*(a**(13\/4)*a)\/a**21)**(-11\/5) assuming a is positive.\nAnswer: a**(319\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-4)\/76)*((-70)\/(-10) - 6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 186545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 6)*(2*y - 5*y + 2*y) + (-6 + 20 + 4)*(16*y + 26*y - 8*y).\nAnswer: 606*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 7*v**2 + 11*v + 19. Calculate p(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 18*k**2. Let u(v) = 160*v**2. Give u(g(f)).\nAnswer: 51840*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -24 (base 10) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46 + 1382939*y**2 - 1382942*y**2 + 97 - 51.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3543.709 years in months?\nAnswer: 42524.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**3 + 142820*g**2 - 1263272252*g - 207105562916.\nAnswer: -4*(g - 17933)**2*(g + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1*42\/24)\/7)\/((-33)\/(-96)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from {k: 1, o: 5, z: 11}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 - 4*g + 3. Let f be m(3). Suppose f = 5*n + 7 + 13. Let q = n + 6. Solve w = -w + q, -w + 26 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5162 (base 7) to base 13\nAnswer: a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518605 is divided by 743?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*s - 25 = 3, 4*s = -5*n - 9. Let c = n - -145. Let l = 38 + 9. What is the remainder when c is divided by l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 168*z = 97*z - 4860 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1668 - 5?\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 5*t**2 + 5*t. Let a be p(-4). Let u be -4*(-1)\/a*-3. Suppose u*n = n + 2. Let v(g) = 2*g**3 + g**2 - 2*g + 1. Give v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-21)\/(4 - 10\/2) + 4. Suppose 225 = 5*j - v. Let r = 40 - 20. Calculate the highest common factor of j and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23032 (base 6) to base 7\nAnswer: 12335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2787956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (3 - 1) + (10 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5.8 and 0.5.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 88301883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + n = -9 - 5, -2*f + 3*n + 18 = 0. Solve 8*j - 2 = f*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 11:30 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/5508 and -89\/4590.\nAnswer: 27540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 290738 by 70.\nAnswer: 20767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b**3 + b**3 + 2*b**3)*(-3*b + b + 2 + 3*b).\nAnswer: 6*b**4 + 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -152.872 + -0.128. Let m = p + 173.7. Let u = m + -19.23. Round u to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 + -33. Let o = f + 28. Let n be (-5)\/(-3)*21*3. What is the highest common factor of n and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5771506370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 4:58 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - 4. Let m = j + 8. Let u be 6\/9 + (-26)\/m. Solve u*y - 3 = -13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -11 - -16 - (-1 + -70). Let f = q + -52. Suppose 750 = -f*l + 29*l. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w = -8*w + 379228. Let v = 37807 + w. Round v to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -g**3 + 2016. Let n(q) be the first derivative of 17*q**2\/2 - 8. Determine t(n(v)).\nAnswer: -867*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5355*a*p - 426366*a + 2098*k**2*p + 5*k**2 + 7*k with respect to p.\nAnswer: -5355*a + 2098*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8  (b) 5  (c) 1\/4  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -82802 by 328.\nAnswer: -41401\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 185\/(666\/(-18))*(-28)\/12*-3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.7  (b) 152  (c) -0.1  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1694397924758.7 minus -0.5?\nAnswer: 1694397924759.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/6 - 71*q**2\/2 - 12627*q\/2 - 230769\/2.\nAnswer: (q - 333)*(q + 21)*(q + 99)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 - 2*r. Let b(h) = h**3 + 13*h**2 - 10*h + 25. Let j(t) = b(t) + 3*m(t). List the prime factors of j(8).\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1633 by 71.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6 and -0.078075.\nAnswer: 0.046845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zcccczcczczzcccccc. Give prob of picking 2 c.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7*(-2 - 57\/(-21)) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 AM and 8:28 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of q**9\/756 - 7*q**6\/360 + q**3 + 10. Let j(f) be the third derivative of z(f). What is the third derivative of j(r) wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 826, 6, -4 in descending order.\nAnswer: 826, 6, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 11:13 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 2608, -4?\nAnswer: 2608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -6*o**3 - 4*o**2 + 4*o + 3. Let d(j) = 6*j**3 + 5*j**2 - 5*j - 2. Let y(n) = -4*d(n) - 5*u(n). What is the derivative of y(s) wrt s?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3120 and 132.\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = d + d. Let r(z) = z**2 + z - 63. Let j be r(0). Let p = j + 72. What is the lowest common multiple of d and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.01 - -0.09. Let g = -6\/7 - -8\/7. Sort h, 0, g in decreasing order.\nAnswer: g, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o + 4. Let i be w(5). Let x(c) = -52*c - 1. Let t be x(i). Let a = t - 31. What is the highest common divisor of 50 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4053 divided by 1351\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 5*c - 116 = 0, p = -5*c - 104 + 228 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (16 - 12)\/((-20)\/(-131715)). Suppose -5*y - 2*f = -26341, 6*f - 7*f + r = 5*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 10:50 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -6.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 1028653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 245 - 245. Let f be k\/(-55) - ((0 - 1) + -2). Let -4\/3 - 1\/12*w**f - 2\/3*w + 7\/12*w**2 = 0. Calculate w.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z = -13*z + 3. Is z less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 458136, 458079, 458008, 457917, 457800, 457651, 457464?\nAnswer: 457233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.9709626 rounded to two decimal places?\nAnswer: 23.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -8.4. Let h = -141 - -113.8. Let w = -27 - h. Which is the closest to 0.1?  (a) x  (b) -4  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -2*d**4\/9 + 248*d**3\/9 + 14540*d**2\/9 - 29816*d\/9 + 1670 = 0?\nAnswer: -45, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, -10, 3, 46, 131?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19.3 + -9.2. Let v = w - 10.1. Put v, 5, -1, 2 in descending order.\nAnswer: 5, 2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*f + 24 = 0, -u + 3*f - 25 = -5*u. Solve 5*g + 3*t - 14 = u*g, 0 = -3*g - 4*t + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.8 + -3. Let k = p - -0.2. Let i = -2.5911 - -1.5911. Which is the closest to 1?  (a) k  (b) -3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (664*x - 31*x**2 - 664*x)*(-178 - 164 + 5).\nAnswer: 10447*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 - t - 29 - 24 - 24 + 75.\nAnswer: -t - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -j**5\/20 - j**4\/2 - j**3\/6 - 2*j**2 - 3*j. Let c be o(-5). Let b = c - -155. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -69 + 482\/7. Suppose -2*q - 8 = -6. Are i and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 864 = -13*i. What is the greatest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a day in seconds?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.091  (b) -3  (c) 4  (d) -0.053  (e) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 1453*p**3 - p. Let x be t(1). Suppose -3*n = -6*n - x. Find the common denominator of 1 - 2 - n\/56 and -13\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 752 is divided by 154.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -693 - -761.2. Let q = h - 98. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h**3*n + 3*h**3*t**2 - 140*h**2*n*t**2 - 4*h**2*t + 51*h*n*t + 2552*t**2 wrt n.\nAnswer: h**3 - 140*h**2*t**2 + 51*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22472*v**3\/5 - 301040*v**2 + 28406*v\/5 - 134\/5.\nAnswer: -2*(v + 67)*(106*v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/533*2093\/(-644))\/(10\/(-8))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -419425 in 2\/13, 1, 3\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does -41163 = -41164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 3*a**2 - 19*a - 3. Calculate l(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 3 + 1 - 1 + 2 + (1 - 4 + 2)*(-4 + 3 + 3) + 1 + 2 - 1 + 1 + 1 - 1 + (3 - 1 + 0)*(3 - 3 + 2))*(-n + n - 2*n).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 40802328 divided by -323828?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 462 + -508. Suppose -2*n + 81 = -n. Let c = n + u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of 5*u**4\/4 + 6*u**2 + u - 8. What is the second derivative of t(q) wrt q?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3\/3598 + 179939\/46774. Suppose 20\/13*k - 2\/13*k**2 - f = 0. Calculate k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/3*(-1 + -4). Let r(w) = -w**2 - 5*w + 5. Let p be r(c). Does 15 divide (7 + -10)*(0 - p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -1, -11153, -1106?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 5, 0 = k - 2*k - c + 4. Let x(u) = -u**3 - 2*u**2 - u + 4. Let v be x(k). Is (v\/66)\/(((-5)\/(-216))\/(-5)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r + 1. Does 13 divide o(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -278549, -278543, -278537, -278531, -278525?\n\"Answer: 6*f - 278555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.023 + 1.023. Let g = -74 + 60. Which is the third biggest value?  (a) -4  (b) n  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 27*t**5 + 357*t**4 + 1509*t**3 + 2235*t**2 + 1236*t + 180 = 0.\nAnswer: -6, -5, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 106 = -2*m, m - 2*j - 50 = -0*m. What is the greatest common divisor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 1563 = 9*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t\/t**7*t))\/(t**(-2)\/t)*t*t**(-2\/7)*(t*t**(-4)*t)\/t)\/((t\/((t*(t\/t**(-1\/7)*t*t)\/t)\/t))\/t**(1\/7)*(t**0)**(1\/10)) assuming t is positive.\nAnswer: t**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 2*o + 4. Suppose -o = -3*u + 14. Suppose -z = -2 - u. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/101, -170, 5?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, n: 3, x: 3, j: 5, u: 3}. What is prob of picking 1 h and 1 j?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**2 + 4*c + 1. Let x(w) = w**2 + 13*w + 8. Let q be 8\/(-24) + 38\/(-3). Let o be x(q). Let j be (-4)\/o - 21\/(-6). Calculate u(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -7*y**2 + 13*y - 5. Let c(o) = -3*o**2 + 6*o - 2. Let m(g) = 9*c(g) - 4*k(g). Let z be m(0). Calculate the greatest common divisor of 10 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/9, 0.1, 1.2, -5, -1\/4?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.9614336km?\nAnswer: 961.4336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 69*s - 291. What is x(68)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -427, -3396, -11483, -27256, -53283, -92132, -146371?\nAnswer: -218568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 0*p. Suppose p = -g - 4*g + q + 12, q = 2*g - 3. Determine n so that 2\/5*n**2 - 2\/5*n - 2\/5 + 2\/5*n**g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95 (base 10) to base 16\nAnswer: 5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -77652 by -19413.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3239 + -2381. What is d rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-54)\/(-10) - (-2)\/(-5). Suppose -5*f - a - 20 - 52 = 0, b*a = f + 4. What is the units digit of (f\/(-4) + 1)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -37*g**3*i*u + 2*g**2*i**2*u + g**2*u - 2*g*i**2 - g + 267*i*u wrt g.\nAnswer: -222*g*i*u + 4*i**2*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -2  (c) 558\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 + 9*z - 4. Calculate the least common multiple of 2 and g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105673777 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002836 rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/2))**25*n*(n*n**(-5))\/n*n*n*n**0 assuming n is positive.\nAnswer: n**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 = -5*h + 24. Let c = h - -53. Solve -3*a = 5*k - c, 5*k + 3*a - 8*a = 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4746645, -4746575, -4746505, -4746435?\n\"Answer: 70*x - 4746715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -0.2, 13, 2\/53, 0.15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j = 90 - 2650. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -i + 140, 2*f - 285 + 985 = 5*i. Let t(k) = -10*k + 198. Calculate the remainder when i is divided by t(18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 + -30. Solve 0 = q*o - 1 - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*w = 2*a + 18, -4*w + 8 = -3*a. Let y be (-748)\/16 + 6\/a. Let b = y - -99\/2. Are b and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 795, 813, 853, 921, 1023, 1165, 1353, 1593?\n\"Answer: v**3 + 5*v**2 - 4*v + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 609 - 550. Suppose 0 = 4*g - 2*q + 2, -g - 1 = -q. Suppose g = 5*y - z - 161. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 3823 = 5*o - 3810, 39*x - 3*o = 348 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*j + 2 = -2, 4*y - 5 = -3*j. Let i(b) = -3 - 3 + 4*b**y + 0. Let n(r) = -r**2 + 1. Give i(a) + 5*n(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*h + 21*h = -g + 47188, 2*g + 2*h = 94396. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2396*s - 2597 with respect to s.\nAnswer: -2396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 41?  (a) -5  (b) -19  (c) -1\/7  (d) 3  (e) -0.56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 95445\/(-1890) + 33\/6\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -48433?\nAnswer: 96866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-28)*(-6)\/2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of 0*b**2 + 4\/51*b**3 - 2\/17*b - 186 + 0*b**4 - 2\/85*b**5. What is m in z(m) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 5*w**2 + 475*w - 10830 = 0.\nAnswer: -114, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + -4 - -23) + (13 - (6 - -81))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3335468817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 152 + -12.274\nAnswer: 139.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 5 + 2*f - 6 - 16 - 17489*f + 8757*f + 8744*f + (5*f - 3*f - 3*f)*(0 + 1 + 1) as n + w*f and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4018 * -95856\nAnswer: -385149408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 431269093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -8*j - 26. Is p(-10) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bkhhbbbsstbkshr. What is prob of sequence thk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-2 - (-316)\/108) - 376257\/(-10773).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11013 (base 5) to base 2.\nAnswer: -1011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rqqrqqrqnrnqq. What is prob of picking 2 r and 2 q?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of 19*p**5 - 143*p - 272. What is the derivative of y(i) wrt i?\nAnswer: 380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*m - 24*m - 24*m)*(690*m + 386*m**2 - 690*m) to g*m**3 + s*m + y*m**2 + c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -3*p. Suppose -d + 17 = 2*a, d - 5 = 2*d. Suppose -a*v + 6*v = -15. Let l(x) = x**2 - 7*x. Give v*l(k) - 7*z(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 24431.98\nAnswer: -7329.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 7, z: 1, g: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) -58  (c) -5\/9  (d) -4  (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {a: 9, e: 1, q: 1, g: 5, r: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2290*f + 2269*f = -8 - 55 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/18 + (-8)\/(-24)*840\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((((sqrt(286) - (sqrt(286) - sqrt(286)*-1))\/sqrt(11))\/sqrt(2))**2 + (1*(sqrt(468) + (sqrt(468)*2)**2) - sqrt(468)) + 0 + 0).\nAnswer: -3770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 445\/77 - -15\/11. Let 24\/7*f - 22\/7*f**2 + b*f**4 - 60\/7*f**3 + 8\/7 = 0. What is f?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/56*30)\/(20\/35)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 5199 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and -1950645626972.\nAnswer: -1950645626968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 84 + -93. What is the tens digit of (-30)\/135 - 1829\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 11) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + 1 + -5 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of 2\/3*a**3 + 0*a + 1\/24*a**6 + 0*a**5 - 2*a**2 + 0 + 0*a**4. Differentiate q(w) with respect to w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + 14. What is the least common multiple of r\/1 + 10 - (-3)\/3 and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 4*k + 0*k)*(-45 + 30 + 36 + (13 + 6 - 15)*(0 - 1 + 0) + 1 - 5 + 2).\nAnswer: -75*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-14)\/98 - 98900\/(-175).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 13*u + 277. Put 1, 0, u in descending order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(95)*3)\/sqrt(5) - (sqrt(38)\/sqrt(2) + 2)**2).\nAnswer: -46 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1936, 1958, 1982, 2008, 2036, 2066, 2098?\n\"Answer: p**2 + 19*p + 1916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.31978 take away 0.93625?\nAnswer: -0.61647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 AM and 6:10 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6060 is divided by 3018.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 4 = 5*r. Let v be (r\/3)\/((-2)\/(-303)). What is the common denominator of -33\/4 and v\/(-28) - (-1 - -1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43433 + 1*(-1 + -2) + 99\/(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m**2. Let j(l) be the first derivative of -90*l**2 + 419. Give b(j(z)).\nAnswer: -97200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 4*i + 28 = 0, 80 = -k + 4*i + 81 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -5 - -14 - 14 - 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 9442*b**2 + 66082*b - 84 = 0. Calculate b.\nAnswer: -7, 6\/4721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(3\/9 + -3). Suppose 0 = 4*n + 20, -5*y + 7 = -n - 3. Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17274, 17347, 17434, 17541, 17674, 17839?\nAnswer: 18042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 + 2*l + 2. Suppose -2*h - 6 = 2. Let w(v) = -9*v + 2. Let m = -28 + 17. Let b(f) = -5*f + 1. Let s(a) = m*b(a) + 6*w(a). Give h*s(p) + 2*q(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*k + 0*k + 17*k)*(-2 + 1 - 1) + (-5 - 3 + 10)*(-19*k - k + k) to n + v*k and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 - 6*k. Suppose -2*s - 59 = -5*o, 0 = -2*o - 4*s - 1 + 15. Let c = 15 - o. What is x(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*i - 5*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -2*w - 3*i, 3*w + 28 = -i + 30 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of -z**4\/4 - z**3\/2 + 41*z**2. Let a(h) = -19*h - 10. Determine -2*a(j) + 7*s(j).\nAnswer: -4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -1, 2, -415, 1 in increasing order.\nAnswer: -415, -4, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -240*m**6 - 4*m**5 - 1782*m**2?\nAnswer: -28800*m**3 - 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10683 + -1193. What is q rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 5 = -0*d, -2*d + 17 = 3*f. Let s = 8 - f. Let y = -0.11 - -4.11. Which is the smallest value?  (a) 2\/9  (b) y  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 8) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(-9)*j\/(j**(-4)\/j) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 16  (b) 4\/9  (c) -0.1  (d) 0.3  (e) -4  (f) 0.782  (g) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 152.4 + -215.3. Let r = j - -63. What is the nearest to -2\/9 in -0.4, 5, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 3*v + 39, -3*x - 2*v = -4*v - 44. Which is bigger: x or 17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + 4*j**2 + j. Let k(d) = 2*d**2 - 2*d + 1. Let m be k(-5). Let i = -63 + m. Let o be t(i). Solve -2*g + o = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of 179*z**4\/12 + 5*z**3\/3 + 8*z**2 - z + 18. Is q(-3) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of x**2\/2 - 14*x - 20. Give u(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-1 + sqrt(637) + -4))**2 - (5 + ((1*sqrt(1573))**2 + sqrt(1573))*-4).\nAnswer: -2476*sqrt(13) + 30119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/10*-1)\/((-33488)\/1400 - -24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 4*k**2 + 2*k - 1. Let a be ((-5684)\/(-133))\/(-7) + (-2)\/(-19). Let v(c) = -17*c**2 - 9*c + 4. Determine a*v(r) - 26*h(r).\nAnswer: -2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t. Let a be 85 - (3 - (-10)\/(-5)). Let w = 86 - a. Let q(o) = 16 + 11*o + w*o**2 - 7 - 8. Calculate -2*q(f) + 22*r(f).\nAnswer: -4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**4\/2 + 69*v**3\/2 - 459*v**2\/2 + 1215*v\/2 - 567.\nAnswer: -3*(v - 14)*(v - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 7*l**2 - 6*l + 6. Let t be a(2). Solve -3*u + t = 5*n, -13 = 3*u - 0*u - 2*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -228 in 2, 3, -1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 12*l + 4*l**2 + 10*l**2 - 11*l + 3*l. Let v(r) = 2*r. Determine n(v(b)).\nAnswer: 56*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of 0*b + 1\/900*b**6 - 2\/45*b**3 + 0 - 9*b**2 - 1\/525*b**7 - 1\/180*b**4 + 1\/90*b**5. Find p, given that o(p) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 459 = -3*b + 541, 3*b = -3*y + 138. Calculate the remainder when 673 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 563079 is divided by 5085.\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9757.\nAnswer: 11, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - 5*b**2 + 10*b - 25. Let v be t(-7). Solve 5*s = -r + v, 0*s - 4*r + 12 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2641 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 - 43*r + 16. What are the prime factors of o(46)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 3*r + 79 = -j, j = 3*r + 13. Suppose -4*d = -j + 2. Let k(a) = 3*a - 6. Calculate k(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14 + 0.0386.\nAnswer: -13.9614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 17 - (53 + -68)) + -3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (99\/(-24))\/(-11) - (-13)\/8. Solve 0 = -x + 1, -3*i + 20 = m*i + 5*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-6) - 237\/(-9). Suppose -3*b + 25 = -v. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -328 - 332 - 218 + 4*o**2 + 878.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1261?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -207506519, -207506518, -207506517, -207506516, -207506515, -207506514?\n\"Answer: n - 207506520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 554, 1117, 1686, 2261, 2842, 3429, 4022?\nAnswer: 4621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.524 - 1.476. Which is the nearest to 1?  (a) f  (b) 1\/7  (c) -0.1  (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 2*z + 12 = 0, -3*b = z - 0*z - 14. Suppose -2*i + 2*m + 314 = 6*m, 0 = -b*i + m + 628. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -249a216 (base 11) to base 14\nAnswer: -80ad60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -j - 16, 0*v + v - 12 = 2*j. What is the smallest value in -2.9, 1, v?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 5*a**2 + 4*a - 24. What is the lowest common multiple of o(4) and 4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-399 + 183 + 140)*(20*b - 20*b + b**2).\nAnswer: -76*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -39 + 24\/(-4 + -2). Let a = -65 + z. Is a < -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20102102222011101 - 2?\nAnswer: 20102102222011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8820 or -8821?\nAnswer: -8821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6844db + 8?\nAnswer: -6844d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05574 times -4.075?\nAnswer: 0.2271405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3706 and 2834.\nAnswer: 48178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 633*t - 225*t - 164 - 401*t.\nAnswer: 7*t - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 70, 4, -11, 291, -1, -5 in descending order.\nAnswer: 291, 70, 4, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-55)\/30 - ((-4)\/(-6) + -2). Which is the second smallest value?  (a) 1  (b) g  (c) 6  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 + -5)\/((-2)\/20). Let u = n + -58\/3. Let p = -41\/6 + 167\/24. Which is the nearest to u?  (a) -3\/7  (b) -0.1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 46.8 + 11.2. Let j = r - 65.3. What is j rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 126853 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*j - 22*j = u + 23121408, 5*u = -40. Round j to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.3065 * 2.\nAnswer: 18.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 724 = -3*x, x - 704 = -2*x - 5*z. List the prime factors of x.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4*1 - (44 + -70). Suppose -2*m + 68 = -w. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = 2*k + 10, 4*x + 5*k - 10 + 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/(((-85)\/(-8))\/17)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 + -71. Let k = -6 - m. Let h = 96 - k. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 8*k + 3. Let s(c) = c**3 - 6*c**2 - 1. Let l be s(6). Let h(j) = -j + 1. Let i(b) = -b + 2. Calculate k*h(o) + l*i(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*p - 5*p**3 + 27*p**4 - 3*p**5 + 118*p**3 + 95*p**2 - 14*p**3 + 10*p**2 = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16756 = 1018*z + 4622 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*2 - 18\/9. Suppose -x*m = 2*m. Suppose -35 = -5*b - 3*o, m = 3*b - 0*b - o - 7. Solve 2*r + i = b*i - 1, -r - 4*i = 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 1:50 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*14\/252*-3*22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**2 - 9*k - 13. Let x be y(6). Suppose x*z = -3*z + 16. Solve 4*v + 2 = -2*t, -z*v + 1 = -4*t + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/9)\/(1\/(-2)). Let o = -6 + 1. Let m = -5 - o. Which is the nearest to m?  (a) y  (b) 0  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 35 = -k - 27, 0 = -6*r + 2*k - 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23664 and 5104.\nAnswer: 260304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + c - 3*c)*(-15 + 7*c**2 + 15) - 2*c + 2*c**3 + 2*c + 22*c**3 + 4*c**3 - 8*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0008000414822 rounded to 6 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-321)\/(((-36)\/(-48))\/((-2)\/4)). Calculate the highest common divisor of m and 24503.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**3\/7 + 1230*b**2 - 151452*b - 4378544\/7 = 0.\nAnswer: -4, 131, 4178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 0 + r**3 + 7*r + 7*r**2 + 1 - 3 + r**2. Let k be g(-7). Let x = -0.41 - 2.59. Which is the third smallest value?  (a) x  (b) k  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence papb when four letters picked without replacement from papppba?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 1. Let p be (2\/10)\/((-8)\/(-20)). What is the closest to s in 5\/3, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a**(4\/3)*a))\/a**(-1))**(-2) assuming a is positive.\nAnswer: a**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -657, -109 in descending order.\nAnswer: 5, 4, -109, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 146, 617, 1418, 2561, 4058?\nAnswer: 5921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00072811864 rounded to 6 decimal places?\nAnswer: 0.000728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 30*u**3. Let b(d) = 15*d**3. Give -15*b(o) + 6*y(o).\nAnswer: -45*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-11))\/((-48)\/(-66))*368\/(-72).\nAnswer: 115\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-101453)\/15939 - 6\/(-189))\/(1\/3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m + 1. Suppose 13 - 12 = -p. What is q(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -205 + 323. Let c = 117.74 - m. Round c to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5972 (base 10) in base 9?\nAnswer: 8165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d**3 - 12*d**2 + 21*d + 156. Let k be j(-5). Solve -5*s - 2*v - 4 = 0, 4*s = 4*v + k + 7 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 524707, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -135 - -138. Is -1.4 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = 3*j + 23, 5*j - 3*g = -0*j - 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 5:11 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8474 + 8474. Solve c = -33*x + 61*x + 224 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10381?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3986069.1+116\nAnswer: -3985953.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 6:17 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 707*j**3 - 523*j**2 + 10*j - 10. Let z(l) = 353*l**3 - 261*l**2 + 4*l - 4. Let c(o) = -2*t(o) + 5*z(o). Find the third derivative of c(m) wrt m.\nAnswer: 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 761 + -755. Solve -5*l + y*r = 4*r + 17, -3*r + 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9340526 less than -0.5?\nAnswer: -9340526.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -3, 22, -1487, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 at least as big as 115996\/3165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*2)\/((-2)\/(-3)*1610\/460)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 2. Let s(h) = h**3 + 2*h - 5*h**j - 1 + 0*h**3 - 2*h**2 + 0*h. Give s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7 - (-4)\/(-2))\/(-1). Let d = -6 + b. Suppose j + d*q - 10 = 0, 0 = 3*j + j - 3*q - 40. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 39089180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1001 (base 4) to base 15\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5856\/(-7320))\/(246\/(-15)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/2597 and (-4 + 455\/84)*(45\/(-2226))\/(-1).\nAnswer: 20776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-14)\/10 + 30\/75. Suppose -2*x = -3*x + 3*u + 6, -x + 2*u + 2 = 0. Let q be (-2 - (-2 - 2))*1. Put 0, q, x, n in decreasing order.\nAnswer: q, 0, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-6)\/(-16)*((-195942)\/(-24497) + -8) and -91\/8.\nAnswer: 11528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7496.72 and 91121482?\nAnswer: 91128978.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 40 = -3*t + 4, -t + 13 = -2*w. Suppose b + t = 2*a, -a = 2 - 7. Suppose -n + 4*n + 5 = 2*s, 4*s - 2*n = -2. Is s less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 2. Suppose 1272*p - 388*p + 5652 = -529*p. Which is the nearest to -1?  (a) p  (b) -3  (c) -1\/6  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -87 - 2?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3605 and 43547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*n - 506 + 698 = 0. Let x(h) = -9*h**2 - 9*h + 2. Let d(i) = -14*i**2 - 14*i + 3. What is n*x(b) + 5*d(b)?\nAnswer: 2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*g**5*r - 9*g**2*r + 16*g + 3*r - 2 wrt g.\nAnswer: -260*g**3*r - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 31*s**3 + 4*s**2 + 6*s + 4. Let w be x(-2). Let p = w - -249. Calculate the greatest common factor of 45 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -422495419, -422495420, -422495421, -422495422?\n\"Answer: -y - 422495418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 13. Which is smaller: z or 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of -y**4\/4 + 7*y**3\/3 - 3*y**2 + y + 1. Let s(f) = f**2 - f - 3. Calculate the remainder when m(4) is divided by s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2193 divided by 731?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16939208 and 715.\nAnswer: 84696040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -7 - (0 + -4 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 895404.8t in grams?\nAnswer: 895404800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21435130 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/7 - 94\/(-182). Let h be (-6 - -2)*(-5)\/((-480)\/6). Which is the fourth biggest value?  (a) 3  (b) -3  (c) w  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(3\/5))**(-3\/2)*(b**(1\/4))**(4\/17) assuming b is positive.\nAnswer: b**(-143\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -99.33 - -1.33. Let g = -64.5 - p. Let c = 33.4999747 - g. What is c rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h + h**2 - h + 2*h**2 + 68 - 6*h**2 - 63 to a*h + r*h**2 + l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ikii when four letters picked without replacement from kkkkikkiik?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -565 + 5083\/9. Which is the fourth smallest value?  (a) 0.1  (b) q  (c) -0.07  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 297639.\nAnswer: 297639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1774273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 130888, 261847, 392838, 523861, 654916?\nAnswer: 786003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from cqcccqcc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2018365 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 119575*k + 478313. Calculate j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (16\/24)\/(16\/(-6)). Let r = -5.9 + 6.3. What is the closest to v in r, -5, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 284\/7  (b) 1  (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 0, -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00469439281 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3.02+124138422594\nAnswer: 124138422597.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -11a5ac (base 15) in base 8?\nAnswer: -3162355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 + -18. Solve -3*a - 21 = -h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(l\/((l*l**(-2\/7))\/l)*l)\/l)\/l*l)\/(l\/(((((l*l\/l**(-3\/4))\/l*l)\/l*l)\/l*l)\/l*l*l))*(l**(1\/2))**(-3\/38) assuming l is positive.\nAnswer: l**(1329\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 + 10*a**2 + 15*a - 30. Let r be u(12). Calculate the common denominator of 41\/2 and (-9)\/6 - 15\/r*19.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 48 + -48. Do 6\/19 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8207 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5573 - -652033\/117. Let v = j - 46\/117. Calculate the common denominator of v and 59\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 - -20. Suppose c = t, t + 467 = 4*k + k. Suppose 0 = 7*d - 9*d + k. List the prime factors of d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 16) in base 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 249\/4, -6489, -4 in descending order.\nAnswer: 249\/4, -4, -6489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 7*h**2 + 6*h + 6. Let y be k(-4). Let i = y + -18. Let x(f) = 30*f + 19. Is x(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + 4*c - 4. Let d(p) = 6*p**2 + 14*p - 86. Let j(t) = -3*t**2 - 7*t + 47. Let y(w) = -5*d(w) - 9*j(w). What is 7*k(q) + 4*y(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 - -6)*(-6)\/(-67197). Let o = k + 828587\/1971112. Let a = o - -1\/8. What is the common denominator of a and -97\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 5*i**2 + 4*i - 2. Let p(h) = -14*h**2 - 11*h + 5. Let x = -1 - -5. Suppose -6*b + 40 = -2*b - k, 2*b + 2*k - 30 = 0. Give b*z(v) + x*p(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are -104431 and -104440 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3842 + 17204*g - 8600*g - 8605*g)*(-1 + 2 - 2 - 3 + 12 + 1 + (0 - 2 + 3)*(-2 - 2 + 3) + 2 + 0 - 4 + 2 - 3 + 0) to the form i*g + a and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 22 = -4*v, 4*v - 2*l = -5*l + 27. Let z(t) = 40*t**3 - 7*t**2 + 22*t - 19. Is z(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**5 - i**5 - 2*i**5 + (-4 + 4 + i**3)*(55*i**2 - 15*i**2 + 66*i**2).\nAnswer: 105*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1650895219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3299279380.\nAnswer: 2, 5, 1747, 94427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -853*v**3 + 6943*v**2 wrt v?\nAnswer: -5118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**3 + n**2 - n**2)*(-4 + 1 + 1)*(3*n - 3 + 3) + (n - n + n**2)*(3*n**2 - 4*n**2 + 2*n**2) + 2*n**3 - 2*n**3 - 2*n**4.\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 6) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t + 11. Suppose -8 = -2*a + 14. Let p be z(a). Suppose p = -m + 4*h - 10, 0 = -h + 2*h - 3. What is the greatest common factor of m and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-5\/7)\/(k**(5\/7)*k*k*k*k) assuming k is positive.\nAnswer: k**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1836489998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 4*s - 12. Determine r(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -296 - -295.306. Let z = j - 0.006. Suppose 3*o = -0*o - 3. Which is the nearest to z?  (a) 1  (b) -0.5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4768, 4767, 4766?\n\"Answer: -i + 4769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -69 - -5887?\nAnswer: 5818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 294.\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - d - 4*p = -30, 0 = 5*d - 3*p + 40. Let n = 1 - d. What is the common denominator of -3\/2 and n\/(-3) - (-111)\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8816 and 8.\nAnswer: 8816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 58 - 57. Solve -3 - f = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 - 17. Let q be 2\/4 - 10\/(-4). Suppose -2*u + 1 = -5*w - 3*u, 4*u - 19 = q*w. Which is the second biggest value?  (a) w  (b) y  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 - 3*d**2 + 0*d**2)*(3 - 3 + 3*d) - 3*d**2 + d**3 + 3*d**2 - 18 - d**3 + 18 + (3*d + 2*d**3 - 3*d)*(1 - 3 + 1).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-1))\/((-520)\/(-78)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 - -13. Let o(y) = c*y + 3*y**2 - 12 + y**3 + 5*y**2 + y - 3*y. What is the lowest common multiple of 9 and o(-8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25816 and 36880?\nAnswer: 258160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 119090467 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6648*x**3 - 3331*x**3 - 3337*x**3 - 4*x - 6)*(-2*x**2 - x**2 + x**2).\nAnswer: 40*x**5 + 8*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30323\/539 + 619\/11. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 3*l**2 - 4*l - 1. Suppose v = -0*v + 3. What are the prime factors of i(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -210322 + -3?\nAnswer: -210331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 0.2, -389, 14.7, 3\/7, 160?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 63.56054 to 0 decimal places.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 0*r**3 - r - r**3 - 2*r**2 + 7 + r**2. List the prime factors of l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-38)\/(-20) + 2\/(-5))*34. Let o = 53 - s. Is 17\/(-51) - (o - 1486\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (10\/(-4))\/(6\/(-12)) + 481. Let m = b - 1457\/3. What is the closest to m in -2, 0, 0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2017131 divided by 243.\nAnswer: -672377\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/6 - 14\/(-21). Suppose h + 18 = 5*g, 4*g + 3*h + r = 5. Suppose -a + g = -2. Sort 3, -28, a in descending order.\nAnswer: a, 3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 165*b - 161*b + 11, 4*d + 20 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -23*r**3 - 7*r**2 + 4*r - 9. Let t(a) = -46*a**3 - 15*a**2 + 8*a - 19. Let y(k) = -13*g(k) + 6*t(k). Let w be y(3). Does 5 divide (4\/(-6))\/((-46)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.1 + -0.1. Let t = f + -1.2. Let q be (-3 - 28\/(-9))*6\/(-5). What is the nearest to 5 in q, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36.34 + 775.64. Round q to the nearest 10.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = i. Suppose -4*h + 4*j + 100 = 0, 3*h - 32 - 18 = -2*j. Suppose 4*a = -i*a + h. Solve a*c = m + 2*m - 5, -3 = 2*m + 3*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 123 + -179. Let z = 58 + f. Solve -3*n - z*i = 0, 6*n + 4*i = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 2*p**2 - 11474*p + 80220 = 0.\nAnswer: 7, 5730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5 minus -0.363?\nAnswer: -1.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/((-1 + 2)*-1). Suppose -3*h - 2 = -8. Let t be (-8)\/(-6) + 2\/3. Solve -h + d = -t*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59 - (-15 + 46 + -32).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*f**2 - f**2 - 2*f**2 + (-1 + 2 + 0)*(-1 + 1 + f**2) + 5*f**2 - 84*f**2 - 34*f**2)*(4*f**2 - 4*f**2 + 4*f**2).\nAnswer: -436*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(2*1)*16\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-8)\/8*1\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -c**5\/6 - 40*c**4 + 2118*c**3 - 16859*c**2\/3 - 35505*c\/2 - 9975 = 0.\nAnswer: -285, -1, 5, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 760\/133 - (-4)\/14. Let y(g) = -4*g + 0*g - g**2 - 1 + 19*g. Is y(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 203 and 8010583?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/6120 and 107\/18360?\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and 3036.\nAnswer: 3037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1.7, 70\/1467, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - ((-24960)\/(-182))\/(-40). Factor 15\/7*n**2 - 3\/7*n**4 - 6\/7*n + 0 + p*n**5 - 9\/7*n**3.\nAnswer: 3*n*(n - 1)**3*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-264)\/555)\/(-2)*-1. Let v = -6\/37 + a. Suppose f + 0*f + n = 22, -5*f = -4*n - 74. Is f at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21613204 is divided by 174.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -4 - (6 - (3 - -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 12 = h. Let b(n) = n**3 - 12*n**2 + 5. Let p be b(h). Suppose 2*l - 6 = 2*w, 4 + 1 = p*w + 5*l. Which is smaller: w or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 375302982 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-14 - -7)) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69263878 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {z: 2, b: 3, x: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 2732*b**2 - 1 - 7.\nAnswer: -2732*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 267181372 and 66699?\nAnswer: 7411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -61 - -93. Suppose 0 = -2*b + 5*d + 147, 92*d = -2*b + 93*d + 119. What is the highest common factor of b and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2058647135.\nAnswer: 5, 317, 1298831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 24\/(-4) - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.015 - 10.015. Let f = -35 + h. Let k = f + 46. What is the biggest value in k, 11, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -5, -4.2, 4, -4, 18.2 in descending order.\nAnswer: 18.2, 4, -0.5, -4, -4.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.379 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 12 = -2*q. Let m = q + -4. Is (m\/2)\/1 - -46 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3.8 at most as big as -712464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bdb when three letters picked without replacement from {b: 6, d: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - v = -6*v. Solve 2*w + 23 = -5*f - 3, -3*f + 4*w = v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of -i**4\/12 - i**3\/3 - 3*i**2. Let w be (1\/(-3))\/((-7)\/(-63)). What is the units digit of z(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8296 and 3103436?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -88 - -62. Let j be 112\/52 - (-4)\/k. Solve 5*z - 3 = j*l, 0 = -l + 5*z - 0 + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) 0.1  (c) -0.04  (d) -1\/6  (e) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*t**3 - 409 + 22*t**3 + 10*t**3 + 409.\nAnswer: 38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -5*d**2. Let x(t) be the first derivative of -30 + 0*t + 0*t**2 + 23\/3*t**3. Calculate u(x(r)).\nAnswer: -2645*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 22*x - 2 + x**2 + 70*x.\nAnswer: x**2 + 92*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -60*-741759\nAnswer: 44505540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cctotzyyoicztcoi. Give prob of sequence zo.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 = 18314\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 13\/65 - 45411\/5. Let y = 18979 + s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 7*p + 50. Suppose -3*a = -4*c - 8*a - p, 2*c + 5*a = -10. Suppose -4*x = 4*s - 96, 4*x - 2*s + c*s = 66. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*g = -244 - 386. Solve -8*h = -7*h + 2*o - 8, -h - g = -4*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -30. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*c**3 + 4*c**3 + 2*c**3)*(-2*c**2 + 3*c**2 - 2*c**2) - 3*c**5 - 3*c**5 + 3*c**5.\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/7 - (-24)\/(-7). Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1137830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of -39*c**5\/2 - 231*c**3\/2 - 245*c. What is the second derivative of f(n) wrt n?\nAnswer: -2340*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fdcmmmy. What is prob of picking 2 m and 1 c?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m - 159 - 164 + 323 - 7*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 24 = 4*j, 4 = -3*p - 15*j + 14*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*l + 5875 = -6685. Suppose -l + 771 = 2*h. Let m(o) = -o**2 - 4*o - 2. Calculate m(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -19*z - 46. Determine t(-7).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1242*s = -46929 + 2217 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -10*i**3 - 53*i**2 + 143*i + 701. What is w(-6)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -4*j**2 - 3*j - 11. Suppose 3*k + k - 5*w - 22 = 0, 0 = -k - 4*w - 5. Let z(m) = -m**2 - 1. Let x(l) = k*z(l) - g(l). Does 9 divide x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110 = -6*l + 5*t, -34*l + 30*l + 4*t = 76 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1237 and 2945297?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -18*y + 165. Let r be z(9). Factor 50 - 13*x**2 + 88*x + 88*x**2 + 27*x - 163*x**3 - 5*x**4 + 168*x**r.\nAnswer: -5*(x - 5)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/1680*-28*19\/(-2)*-6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-80 - 11)\/(-7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7 and 350424.\nAnswer: 350417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -23*l**2 - 1122*l - 857. What is d(-48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -2*m**3\/11 + 10042*m**2\/11 + 161154*m\/11 + 151110\/11 = 0.\nAnswer: -15, -1, 5037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 10:06 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 4*t = -6. Factor 20*w**3 + 20*w - 43*w**4 + 32*w**t + 47*w**4 - 4*w.\nAnswer: 4*w*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i**2\/2 + 2209*i + 884 = 0. Calculate i.\nAnswer: -2\/5, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of g**3\/2 - g**2 + 10*g. Let k be n(7). Find the second derivative of -25*s**3 - 32*s**3 + k*s + 39*s**3 wrt s.\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q - 7*q = -16. Suppose 2*t - 4 = 6, -w = -5*t - 14. Let s = w - q. Round s to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fiidpkidkdii. Give prob of picking 2 d and 1 i.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -867.9 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0612439 and -1.24.\nAnswer: -1.1787561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.174 - -0.174146. Round l to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1069951 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/27, -1\/4, 2\/19 in increasing order.\nAnswer: -1\/4, 2\/27, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 66955374.\nAnswer: -2\/33477687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(140)\/sqrt(7)*-5.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -300366911 or -300366910?\nAnswer: -300366910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5457 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 + 57*n + 63. Let x be s(58). What is the smallest value in x, -9, -3, -0.1, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 4*n - 834. Let t be n\/(-36) + 2\/(-12). Suppose 2*b - 53 - t = 0. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - t - 2. Let j be 0 + (-2 + 3 - 1). Let w be r(j). Let n(b) be the second derivative of -b**3\/6 + 6*b. Give n(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 318303 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -387\/28 + 53\/4. Let s = 2 + -1. Which is the second smallest value?  (a) n  (b) s  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 10*j - 1. Let w be d(11). Calculate the common denominator of (-159)\/w*15\/18 and ((-3)\/(-5))\/((-16)\/110).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 - 2*k**2 - 2. Let q be ((-18)\/9)\/(1\/((-2)\/(-4))). Let l(i) = 0 + 3 - 4 - i**2. Give q*w(f) + 2*l(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 5*c. Suppose -6 - 10 = 2*u + j, j + 4 = 0. Let d(v) = 4*v. Calculate u*d(b) + 5*r(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*s**2 - 9*s**2 - 2*s - 10*s**2 - 9*s**2 + s to the form d + k*s**2 + o*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 71.12896 millennia?\nAnswer: 853547.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*z + 41*z + 5852 = -107*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34 - -126. Let d be 1 - -1 - k\/69. Solve 2*b**2 + 0*b**3 + 0 - d*b**4 - 4\/3*b = 0 for b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 19901097 + -8?\nAnswer: 19901089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 46050 - 1233. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 223, 265, 309, 355, 403?\n\"Answer: l**2 + 39*l + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 8*s**2 - 302*s + 926. Give p(3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 15*p**2 + 15*p - 13. Give x(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 16*b**2. Let t be u(-1). Suppose -4*n + 3*n + t = 0. Suppose n = -5*l + 41. Calculate the remainder when 17 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1179.24 times -0.005\nAnswer: 5.8962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -55771, -131045, -206319, -281593, -356867, -432141?\n\"Answer: -75274*v + 19503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 399108487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4617, 4608, 4585, 4542, 4473, 4372, 4233?\nAnswer: 4050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -839*t - 1480 = -654*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2193 + 2200.7. What is the third biggest value in 9, 2\/15, -0.3, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 431905 divided by -2.\nAnswer: -431905\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4595?\nAnswer: 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 36ba (base 15) to base 5\nAnswer: 333100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*b + 70*b = -18. Factor 1\/2 + 0*r - 1\/2*r**b.\nAnswer: -(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8085.17 rounded to the nearest ten?\nAnswer: -8090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.16794 - 1477.43206. What is h rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 4*s = -14, -3*h - 2*h - 2*s = -2. Solve 4*l + h + 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**2 - 15*v**3 + 45*v**3 - 53*v - 14*v**3 - 15*v**3 + 3 - 5 to o*v**2 + g + l*v + b*v**3 and give l.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16160 >= 16160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 14*g**3 + 6049*g**2 + 361*g - 30681. What is s(-432)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 - 3 + 30 - 4 - 22 + 360*v in the form p*v + g and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - (-10071)\/(-5)) + 2. Let u = -2006 - w. Calculate the common denominator of 14486\/(-166589) - (21\/28 - 18154\/8280) and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79, 67, 55, 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-94)\/235*(-6)\/(-4)*(-100)\/240?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 194.694 * 1654.\nAnswer: 322023.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**2 + 4*k**2 - 2*k**2 + 2*k**2 - 4*k**2 + 3*k**2 + (-k + 2 - 2)*(2*k + 4 - 4) + (-9*k + 9*k + 44*k**2)*(0 - 3 + 1).\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 944405411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = f - 1, -1072 = 2*f + b - 1086. Solve f*l - 15 = 0, -4*l + 8 - 2 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-15)*1)\/((-2)\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*s - 6048 = 0. Let q = s + 8129\/4. Calculate the common denominator of 278*2\/24 + 33 + -33 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*d - 28*d - 45*d**4 + 44*d**4 + 2 + 2*d**3 to m*d**3 + i + w*d**2 + t*d**4 + u*d and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55*n**3 + 5*n**4 - 2*n**4 - 41*n - 39*n + 77*n to the form k*n**2 + q + l*n**4 + s*n + a*n**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -510, -8, 478, 942, 1378, 1780?\n\"Answer: -j**3 - 2*j**2 + 515*j - 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -23*u - 117. Let z be i(-5). Let t be z - (7 - (6 - -39)). Calculate the greatest common factor of t and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2654 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 12\/(-3))\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -262*g**3 + 1313414*g**2 - 40104*g = 0.\nAnswer: 0, 4\/131, 5013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + f**2 - 2*f + 3. Suppose g + 12 = -5*d, 2*g - 5*d = -3*g - 60. Let i be (g\/3)\/(-12)*9. Give v(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167403.\nAnswer: 3, 41, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-157)\/(-942) + ((-32)\/228 - 0)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/44200 and 9\/12486500?\nAnswer: 24973000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 5*i + 50 = 0, 3*r - 18*i = -22*i - i - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1725\/(-350) + (-120)\/(-16).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 e when four letters picked without replacement from {o: 2, e: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 15 = -2*u. Let x = -181 - -180. Suppose 0*h = 4*k - 5*h - 7, k - 5*h + 2 = 0. Put u, k, x in increasing order.\nAnswer: x, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16.2 + -16.2. Let v = 1.9 - -2.1. Let g = -4 - v. Which is the biggest value?  (a) z  (b) -2\/3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1\/6 + (-6)\/(-108)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1505, -2913, -4209, -5393, -6465, -7425?\n\"Answer: 56*q**2 - 1576*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/(-6)*(-18)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 6*z**2. Let g(x) = 820823*x - 10. Calculate g(v(b)).\nAnswer: 4924938*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -434 - 90 = 148*g + 68 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -5*f + 40, -4*m + 65274 - 65215 = -5*f for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of -b**4\/3 + 4*b**3\/3 + 1191*b**2. Calculate j(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.16  (b) -2  (c) 1\/18  (d) 1  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (8 + 0 + (14 - 22) - -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2151 - -274?\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71 = 5*i - 66 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-36)\/10 - 18\/45. Sort -3, n, 147 in decreasing order.\nAnswer: 147, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -503 + 893. Suppose 2*r - 62 - 700 = -4*h, 0 = 2*h + 4*r - i. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h + 3024 = 41*h - 8*h + 61*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of r**5\/270 - 199*r**4\/54 + 784*r**3\/9 + 3089*r**2. Determine w, given that l(w) = 0.\nAnswer: 6, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 9*x + 5. Let u be h(8). Let q = 6 + u. What is the third derivative of -2*y**2 - y**2 + 3*y**3 - q*y**3 - 2*y**6 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83.76158 tonnes in kilograms?\nAnswer: 83761.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 28 - 8. Suppose -4*l - 5 = -k - 2*l, 2*k + l = -p. Let u = 0.33 + -0.53. Which is the fourth smallest value?  (a) 3  (b) 5  (c) u  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 less than 30911.4?\nAnswer: 30840.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u + 3*u - 1 + 5.\nAnswer: 6*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -19 + l**2 + 13 + 7*l + 18. What is the lowest common multiple of 5 and x(-7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 743 + 203 = 0. Suppose -j = -8*p + 6*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -145 or -1484209\/4?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (-12 - 19) + 1 + 8 + -3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4335972 is divided by 2191?\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -5*v + 18. Suppose -v*i + b + 6 = 0, -4*b - 10 = -4*i - i. Suppose -s = -i - 10. What is the highest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of -x**6 + x**3\/6 - 27*x. What is the second derivative of k(y) wrt y?\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 27 = -i, -3*b + 109 = i + 40. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/6 - 4*(-200)\/608. Let y = 515\/114 + x. Factor 1\/8*l**2 + y + 3\/2*l.\nAnswer: (l + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hjhj when four letters picked without replacement from mmhmdjjjkdhkjmdjmhd.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - d - 130 = 0, 5*j + 2*d - 116 = 53. What is the least common multiple of j and 333?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.06 + 2.06. What is the nearest to -0.2 in 4, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j + 2 - 3*j + 5*j. Let a(q) = 10*q - 10. What is -3*a(o) - 16*l(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -16, 19, 3, 9\/344, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 PM and 4:20 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2022 and 60.\nAnswer: 20220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 4*i = 7*i - 10, -2*r + 4*i = -30. Solve 8*u - g - 20 = 3*u, 16 = 4*u + r*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3270177, -3270178, -3270179, -3270180, -3270181, -3270182?\nAnswer: -3270183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 PM and 1:48 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + x - 3*x = 294, -k + x = -57. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -114 + 111.99. Let m = j + 0.01. Let k = -19 + 19.7. Which is the second biggest value?  (a) m  (b) k  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 - 3*a**4 + 3*a**3 + 8*a - 4*a**3 - 5*a + 0*a - 8*a to n*a**2 + w + l*a**4 + o*a + z*a**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ujuuuujuuujujuuuuuu. Give prob of sequence uju.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 117606073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from lxxblbxlx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10385.\nAnswer: 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -55\/8 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + m - 4. Let i be m + (-3 - -5) - 6. Are -1\/3 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 - 10*f + 2. Let b be x(10). Let j(t) = -3*t**3 + t**2 + 2*t + 1. Let d be j(-1). Solve 0 = b*c - c + d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1095 and -1386.\nAnswer: -1517670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 12484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -1340*l**2 + 5*l - 3. Let p(c) = 1345*c**2 - 6*c + 4. What is 6*m(b) + 5*p(b)?\nAnswer: -1315*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -96 - -387. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 8478.324 weeks?\nAnswer: 5127690355.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3108030 + 3108030 - 7105*v)*(0*v + v**3 + 0*v) in the form g*v**2 + n*v + x + z*v**4 + h*v**3 and give z.\nAnswer: -7105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**5\/4 + 99*u**4\/4 - 3591*u**3\/4 + 56889*u**2\/4 - 83349*u.\nAnswer: -u*(u - 36)*(u - 21)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -2\/7  (b) 3\/5  (c) -4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1402*a**3 + 3*a**2*h + a*h + 13*h + 2 wrt a.\nAnswer: 8412*a + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1242, 399, -444, -1287, -2130, -2973?\nAnswer: -3816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2984183.11 rounded to the nearest 10000?\nAnswer: 2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 + 8*k**2 + k - 9. Let b be z(8). Let y = b - -1. Differentiate y + 3 + 4*n**2 + 2 with respect to n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 - 9. Let o = 54 + -33. Calculate the highest common factor of q and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - (0 + (3 - 7))) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03272 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -r**5\/60 + 7*r**4\/24 + 7*r**2. Determine o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 603*t**2 - 1227*t + 11. What is w(2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 238 + -163. Suppose 6*n - 4*n + z - d = 0, -4*z - 60 = -n. Let x = n + 16. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**2 + 2*z + 1. Give g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**3 + g**2 - g - 2. Let u be y(-1). What is the derivative of 50*k**u - 9 + 4*k**3 - 8*k**3 - 50*k**2 wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32159 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 140222 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) -0.4  (b) -0.7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 24*u + 103. Determine t(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/3 + 16672*b\/3 - 34744448\/3.\nAnswer: -2*(b - 4168)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -30\/17 in 32, -48, -4.3, 3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 6*n**2 + 5*n - 3. Let h(c) be the first derivative of -c**4\/4 + 7*c**3\/3 + 3*c**2 - 4*c - 1. Give 5*h(y) - 6*l(y).\nAnswer: y**3 - y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/10*(7830\/(-594))\/29.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -131.806 + 3.106. Do p and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -21*p**2 + 619*p - 604. What is b(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -7558 in decreasing order.\nAnswer: 5, 0, -7558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 3532 divide 19002160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -3\/5  (b) 8  (c) 102  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**2 + 2*i**2 - 6*i**2 + (0*i - 8*i + 0*i)*(-15*i - 23*i + 6*i).\nAnswer: 255*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyjyj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*z + 9*z - 5*z - 6*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 0*o - 26 = -3*o, o + 17 = 2*b. Suppose -6*m + 18 = -6. Suppose -55 = -m*r + 69. What is the remainder when r is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 5:46 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4576 + 17027. Let n = s + 3636. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -13*r**3 + 30*r + 21*r**3 - 7*r**4 - 3*r**4 - 3*r**3 + 65*r**2 = 0?\nAnswer: -2, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 988315, 1976708, 2965101?\nAnswer: 3953494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 - 9*r + 13. Let g be 8 + (1 - (-5 + 9)). List the prime factors of y(g).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3, d: 1, s: 3, a: 5}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k\/(k*k**(-31)*k*k))\/(k\/(k*k**6*k)))**(2\/43))**(19\/5) assuming k is positive.\nAnswer: k**(1406\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 171, 2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**5\/11 - 20*b**4\/11 + 2*b**3\/11 + 168*b**2\/11 - 216*b\/11 = 0. What is b?\nAnswer: -3, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 160*q - 675. Determine g(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in 57, -188, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c**2 - 41*c + 37. What is a(20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 7. Let y(s) be the second derivative of -s**3\/3 + 3*s**2\/2 - 11*s - 12. Calculate y(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 79455 - 38456207\/484. Find the common denominator of o and -77\/6.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-60)\/(-8)*(-4)\/(-3). Let x = y - 7. Suppose -s + f = 3*f - 16, x*f = s + 4. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24*2\/(-2))\/(3034\/3034)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/24008 and 53\/24?\nAnswer: 72024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of -s**4\/4 + 4*s**3\/3 - 3*s**2\/2 + s - 37. What is b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 6088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1858 less than 0.859?\nAnswer: 0.6732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 180.6 - 157. Let h = l - 20.6. Which is the closest to -2?  (a) -1\/2  (b) h  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of w**5\/60 - 5*w**4\/24 + w**3\/2 - w**2. Let i be (1 - (2 - -1)) + 7. What is the units digit of j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61174 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (72\/15 + -3)*5. Let c = 103 - 98. Suppose 41 = c*v - 2*r, v = 3*v + r - 11. Solve 7*s - v = u + 3*s, 0 = 5*u + 2*s - k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -98001 + 14112055\/144. Let a = 1721 + -27479\/16. Find the common denominator of v and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((2*(2 + sqrt(567)) + sqrt(567) + 2*sqrt(567)*-5)**2 + -3).\nAnswer: -55592 + 1008*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 1049252253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2323238740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -s - 11, 0*s = 5*s - 3*a + 19 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769 a factor of 1598523347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-8)\/w)\/((w*w**(2\/3))\/w*w))\/(w*w\/((w\/(w**(-1)*w))\/w)*w)**46)\/((w*w**(2\/7)\/w*w)**32*(w*w**(-1\/2)*w)**(-2\/35)) assuming w is positive.\nAnswer: w**(-19921\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 213 divided by -2\nAnswer: -213\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 - 2*k + 2. Determine n(9).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - b = 11, -4*b + b - 30 = -5*m. Find the third derivative of -m*p**2 - 3*p**2 - 3*p**5 + 0*p**5 wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 3853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -490 take away 637389?\nAnswer: -637879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7124 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.16 + -0.06. Let o = 0.78 - n. Which is smaller: o or 2\/203?\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -25*q + 26*q. Let k(b) = 3 - 4*b - q*b + 0 - 9*b**2 + 10*b**2. What is the remainder when 54 is divided by k(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28147 + 5540 = 19*m. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/(-6))\/((-12)\/(-54)). Suppose -d*p - 3 + 18 = 0. Suppose 23 = 2*h + r, 53 = 5*h - r + p*r. What is the remainder when 25 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 68900\/1820 - (-24)\/(-28) - 65\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.648 + -1.129. What is z rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 34, 33, 32, 31, 30?\n\"Answer: -m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 2*g + 4. Let o = 40 + -80. Let w = -45 - o. Let k(r) = -r + 1. Let u(i) = -7*i + 2. Let s(v) = 5*k(v) - u(v). Calculate w*s(y) + 4*l(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3, 6, 148, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1857 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 3. Suppose 106 = 2*u - 2*h, -u = -0*u + i*h - 28. Suppose 5*c + 30 = z, -3*c - c - u = -2*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 9*q - 2*q - 3*q + 5*q - 3*q + q + 4*q - 7*q + (3*q - 4*q + 0*q)*(-1 - 4 + 4))*(0*q + 2*q - 4*q).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -i + 4*q + 106, 3*i - 4*q - 167 = 0. Let l = i + -33. Solve l = -4*z - 0*z + 4*p, p - 23 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1332233333 (base 4) in base 13?\nAnswer: 1523cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -6*v**2 + 14*v - 25. Let y(w) = -w**2 + w + 1. Let o(m) = -s(m) + 5*y(m). List the prime factors of o(13).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*q + 7*q - 10*q + 287 - q + 0*q.\nAnswer: 4*q + 287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 6:15 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ihi when three letters picked without replacement from {r: 3, n: 2, i: 4, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -159068524, -159068526, -159068528, -159068530, -159068532?\n\"Answer: -2*f - 159068522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10343, 8702, 7061, 5420, 3779, 2138?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -389*f + 107. Let r(o) = -839*o + 214. Let m(u) = 13*n(u) - 6*r(u). Give m(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 4. Suppose -2*b - 4 + 0 = 0. Suppose -4*z + 16 = 4. Sort z, x, b in ascending order.\nAnswer: b, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2042, 3385, 4048, 4031, 3334?\nAnswer: 1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -44.13 - -44.13013989. What is j rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -5245*c - 4175015. Determine m(-796).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*f + 53 - 1393 = -13*f. Let i = 80 - 48. Calculate the remainder when i is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1008.763g?\nAnswer: 1008763000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36032347 + 36032347 - 20*n**3.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 4, 3, -561, -2 in descending order.\nAnswer: 4, 3, -2, -18, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 1.74301.\nAnswer: 0.522903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 185, 190, 205, 236, 289, 370, 485, 640?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) 1\/10  (b) 1\/4  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(4\/5)*14\/(-35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**2 - 3. Let o(w) = 5*w**2 + 7. Let p(f) = 7*l(f) + 3*o(f). Let m(x) = 14*x. Calculate p(m(c)).\nAnswer: 196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30615 by -5.\nAnswer: -6123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vrvrxvfxfffff. Give prob of sequence rxrf.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: c (base 14) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -12*q + 854. Suppose -q = 4*y - 317. Calculate the remainder when 254 is divided by y.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-12)*((-6)\/3 + 6). Let c = 21 + -21.3. What is the biggest value in -0.09, c, t, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -12  (b) -2\/95  (c) -2\/3  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2530\/(-1012))\/((-125)\/2)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 114 and 32889.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 2464893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-14249)\/(-5) + 168\/(-210) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 2*y + 2*h + h, -4*y + 38 = h for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - (-70)\/(-40)*-4. Let g(a) = a**3 - 4*a**2 + 3. Calculate g(n).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - k = -10, 10445*k = 3*z + 10441*k - 2 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6276 = 315*q + 1599 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3808466 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 - 48 - (16 - 48).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (152\/32 - 4)\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2314086 and 20.\nAnswer: 23140860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 18 + -4 + -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4 + -2 - -5)*-187 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 1.2. Let t(k) = k**2 + 13*k - 8. Let d be t(-8). Let p be 6\/(-33) - d\/22. Do p and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 10*m**2 - 11*m - 1. Let r(x) = x**2 - 2. Let w(f) = i(f) + 2*r(f). Is 7 a factor of w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/u**(-17))\/u*u*u*u\/(u\/(u\/(u\/(u*u**(2\/7)))))*(u*u\/u**(-31))\/(u\/(u*(u*u*u**(7\/4))\/u)))**1 assuming u is positive.\nAnswer: u**(1597\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1054 - 537*i**2 - 787*i**2 + 1054 + 483*i**2.\nAnswer: -841*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of k**4\/4 - 7*k**3\/3 - 7*k**2\/2 - 7*k + 4. Let q be l(8). Which is bigger: q or 2\/35?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -79, -286, -637, -1138, -1795, -2614, -3601, -4762?\nAnswer: -6103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.2 in -2, 4, 5, -0.01, 576?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 329 = 3*i + 4*k - 144, 5*i - 803 = -3*k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1207 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -551 = 11*q + 879. Let o be (-14)\/35*(0 + q). What is the greatest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5*(0 - (0 - -1)). Suppose 36*m + 11 = 11. Let s = 20 - 5. Solve -s = -a*c - m*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w**2 - 58*w + 312. Let o be u(7). Solve -2*h = -5*x + 33, 2*h - o*x + 18 = -10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 * -522\nAnswer: -5220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*j**2 - j + 38*j**2 + 82*j**2.\nAnswer: 33*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 4*k + 16 = 0. Suppose 5*v = -5*z + 10, z - 6*z - 32 = -v. Let h = k + v. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9\/8?  (a) 4  (b) 299  (c) 0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5588 divided by -28602\nAnswer: -2794\/14301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2)*(0*k - 3*k + k) - k - 2*k + k + 2*k + 7*k + 2*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of -w**6\/840 - w**5\/420 + w**4\/84 - 51*w**2. Factor s(i).\nAnswer: -i*(i - 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -j + 4*i + 12, 3*j = 5*i + 216. Let y = -75 + j. Suppose 7 = x + 4*c, -y*x + 5*c + 16 + 11 = 0. Solve -4*a + 9 + x = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence beee when four letters picked without replacement from {e: 5, b: 8}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1017 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1165 (base 10) to base 15\nAnswer: 52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11646048 or 11646045?\nAnswer: 11646045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**2 + 4*d**2 - 2*d**2)*(d + 2*d - 2*d) + 12612*d**3 + 329*d**3 - 1653*d**3 + 5445*d**3 + 13381*d**3.\nAnswer: 30115*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2835 is divided by 352?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 6:28 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of g**4\/4 + g**3 - g**2\/2 - g + 2. Let f be c(-2). What is the second derivative of 4*j**5 - 3*j**f + j + 2*j wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -7431287 and -14.\nAnswer: -7431301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -31, 2\/17, -3, 3 in ascending order.\nAnswer: -31, -3, -0.3, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 459440\/671931 - (2\/3 - 24\/117)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 6, -0.102823, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 2301918628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 3*x**2 + 114*x + 3. Let s be z(-38). Which is the smallest value?  (a) -0.1  (b) 1\/10  (c) -0.2  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17457\/3713 + -218\/47. Does 1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11915\/554 - 43\/2. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gjsgggj. Give prob of sequence sj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45.8 + -45.8000258. What is m rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 0, -m + z = 2*z - 5. Let g(h) be the third derivative of -1\/6*h**3 + 0 - 2*h**2 + 0*h**4 + 0*h + 1\/30*h**m. Give g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -3 - (16 + -14)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 89 = 2*z, -41 = -4*z + x + 82. Suppose -c = c - 2. What is the remainder when z is divided by (0 - -51)*(c + -2)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 236558317*l**3 - 293040181 wrt l?\nAnswer: 709674951*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -5*f - 2*l + 98, -l - 95 = -f. Suppose 66 = q - f. What is the greatest common divisor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 160*c - 76*c - 2 - 82*c. Let v(h) = -h + 1. Let u(i) = 3*f(i) + 5*v(i). What is u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 3 + 0 + 4. Let m(j) = -13*j**2 + 29*j - 44. Let c(f) = -3*f**2 + 7*f - 10. Let a(p) = 9*c(p) - 2*m(p). Determine a(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/188982 and -109\/440958.\nAnswer: 1322874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -695123369\/2808 + 247551. What is the common denominator of s and 95\/432?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*x**3 - 9*x**3 + 3*x + 0*x**2 - 2*x**2 - x in the form o*x**3 + k*x + u + v*x**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 1)*(3*f + 0*f - f) - 2*f + f - 2*f + (13 - 13 - f)*(-7 + 13 + 1) + 3 + 2*f - 3.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 + 7. Let z = -6.568 + 0.068. Let d = z - j. What is the third smallest value in 0, -0.4, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 3*k = 0. Suppose 3*g + r - 103 = k, 0*g + 2*r + 168 = 5*g. Suppose 8*o - 60 = 3*o. What is the remainder when g is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + 7*z**2 + 2*z - 1. Let j be a(-4). Suppose 3*k + 2 = -4. Let o = k + j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-310 - -281) + -23 + 5?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 = -7*v + 4*j, -4*j + 44 - 12 = 7*v - 2*v - 3*j + 4 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, h: 2, p: 2, q: 2, l: 2, j: 1}. Give prob of sequence lj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-20)\/7)\/5)\/(11\/(-77)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -j**5\/20 + 27*j**4\/8 + 14*j**3 + 22*j**2 + 2. Factor y(n).\nAnswer: -3*(n - 28)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31132860 divided by -120670.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25 + 23. Let x be 5 + (-5 - -5)*(3 + a). Solve -3*n = -x - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 3*l + 7*l - 96 = 0, -l = 5*a - 213. Let s = -41 + a. Is (885\/30)\/(s\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 4*v**3 - 6*v**2 + 156*v - 469. Let d(c) = 19*c**2 - 1. Calculate the remainder when m(3) is divided by d(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 + 3*c + 4. Let l be v(3). Suppose l*b = -17 - 15. Let s = 13 + b. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3401765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168*g = -4741 - 2331 - 16952. Calculate the remainder when 872 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(1\/7)\/(z\/(z*z**(2\/11))))\/(z**(-2))**47)**(-22) assuming z is positive.\nAnswer: z**(-14526\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -20*h - 11*h + 55*h + h**2 - 18*h + 4. Determine q(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-five eighths of a micrometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -310d4?\nAnswer: -310d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 179 = 3*q, -m + 57 + 253 = 5*q. Let y = -9 - q. Let c = y + 77. Sort c, -5, -4, 0 in ascending order.\nAnswer: -5, -4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -1, -5, 1, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/((126\/4)\/(-7) - 0). Solve c = -y*l + 4, 0 = -14*l + 19*l - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16270 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.804 - -0.73. What is z rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 12a1 - 7a0?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 774 is divided by 668.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 970 and 87892?\nAnswer: 42627620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -1.9, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of v**3\/3 + v**2 - v - 9. Let j(z) = 4*z + 4. Determine -5*d(q) + 3*j(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 317, 354, 417, 506, 621?\n\"Answer: 13*y**2 - 2*y + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14 or -1118\/81?\nAnswer: -1118\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133*x + 140*x = 70. Let a be 58\/(-116) - (-7)\/x. Let k = -0.3 - -0.3. What is the third biggest value in k, 2\/7, -4\/5, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 - 21. Let f(c) = 12*c - 16. Let q(k) = k + 3. Let u(s) = f(s) - 5*q(s). What is the lowest common multiple of 10 and u(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4164 (base 8) to base 10\nAnswer: -2164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 586 + -581. Solve n*l - l = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -4*a - g - 5, 47 - 14 = -3*g. Let c = 5.89 - -0.11. Sort 0, 2\/7, c, a in decreasing order.\nAnswer: c, a, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 943420254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 5 = b + 2, 0 = -2*b + 3*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*u**3 - 584 + 3*u**2 + u**2 - 6*u**3.\nAnswer: -u**3 + 4*u**2 - 584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24\/23 - 1313\/46. Suppose 0 = 3*n + n + 8. What is the common denominator of -4 - n - (-126)\/(-40) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-36)\/(-45)*5\/2. Suppose n*k - k = 16. Suppose 0 = k*a - 20*a + 44. What is the greatest common divisor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.1, 4, 0.2, -1.\nAnswer: -1.1, -1, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45875?\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.3, 0.2, -0.12, 1.\nAnswer: -2, -0.12, 0.2, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5763610 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h + 7*h - 3*h)*(10*h**3 - 8*h**3 + 0*h**3 + (-2 + 3 - 4)*(-3*h**3 + 3*h**3 + 2*h**3)) + 25*h**4 - 17*h**4 - h**2 - 3 - 14*h**4.\nAnswer: -22*h**4 - h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.78 - -0.08. Let h = m + 1.2. Let j = -0.03 - -0.23. What is the nearest to -2 in h, j, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 + 2*d - 6. Let b(o) = -o + 1. Let k(y) = 5*y - 13. Let c(l) = 2*b(l) + k(l). Let h be c(5). What are the prime factors of j(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 15961167913767 and 3.\nAnswer: 15961167913770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -9*a - 5 + 44 - 14 - 16. Is 7 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0.2, 1, -56\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 35388030 and 20?\nAnswer: 70776060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3*g - 16. Let s(l) = 7*l + 33. Calculate -9*a(j) - 4*s(j).\nAnswer: -j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 7, 6, 19, 52?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yymuumtmtmttrmttur. What is prob of picking 1 y, 1 u, and 1 r?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3762\/55 - 4\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3065249090.\nAnswer: 2, 5, 17, 37, 239, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 524149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, g: 2, m: 1}. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 10592, 11298, 12004?\n\"Answer: 706*x + 9886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/93588 and 25\/8508.\nAnswer: 93588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 12*v**2 - v + 2. Let c(k) = -290 + 91 + 104 - k + 94. Give 2*c(t) + q(t).\nAnswer: 12*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 101 = 4*r + 31, 40 = 3*g + 2*r. Suppose 0*k - 8 = -4*k. What is the greatest common divisor of g and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 144, -117, -676, -1557, -2784?\nAnswer: -4381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 6:02 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1447\/6 + -239. Are 1 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence va when two letters picked without replacement from aaiavttkttatta?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -82 + -66 + 92 - -10.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -709270 and 0.227.\nAnswer: -709269.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 51 + -49. Solve -4*k = -d*s - 2, -4*k - 20 = 5*s + k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4562*k = 14500*k + 1162782 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9422496 and 264.\nAnswer: 103647456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2575 + 36935 = 20*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (25\/((-1350)\/(-36)))\/(-6*(-2)\/20)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48175 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23*l**3*x + 20*l**3 + l*x - 2818*x wrt l.\nAnswer: 69*l**2*x + 60*l**2 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26.0253 litres to millilitres.\nAnswer: 26025.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.02 and -3881.\nAnswer: -77.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -7*a**2. Let v(t) be the second derivative of -85*t + 0*t**2 + 0*t**3 - 5\/6*t**4 + 0. Give j(v(y)).\nAnswer: -700*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -200, -320, -440, -560?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, -17, -1 in decreasing order.\nAnswer: -1, -17, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/5)\/(-4))\/(624\/(-480))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/4 + 3*t**2\/2 + 3*t + 2.\nAnswer: (t + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + -29?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (39 - 2)*(-3 - -2). Suppose -4*z - 94 - 53 = 5*b, 0 = -3*b + 3. Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -3, 107, -5, 2, -28, 47.\nAnswer: -28, -5, -3, 2, 6, 47, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*c*n + 16436*c - 2*n**4 - 78393*n**3 wrt n.\nAnswer: 3*c - 8*n**3 - 235179*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/20 and 43\/68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r**3 - 4 + 4)*(3*r**2 - 1 + 1 + (-5 + 2*r + 5)*(r + 0*r + 0*r) + 4*r**2 - 5*r**2 + 3*r**2).\nAnswer: 35*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 770 by -55.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/83 - -257\/332. Let j = -262.66 - -266. Let w = -6.34 + j. Put -5, t, -5\/4, w in decreasing order.\nAnswer: t, -5\/4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -2\/15, -349, -29?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 2*u + 124, -2*u + 4*l = -6*u - 248. Let y = -30 - u. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 406 + 674 = 0. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 20*k**2 + 26*k + 181. What is the thousands digit of g(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 15, 5 in ascending order.\nAnswer: 5, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/18)\/(((-2210)\/104)\/17*24\/54)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 0 - 3 + 5 - 5 - z. Calculate the remainder when 3 is divided by a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 402751171 is divided by 1516?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 332*d**2 - 62*d + 2. Let n(w) = 56*w. Determine f(n(v)).\nAnswer: 1041152*v**2 - 3472*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p - 6. Let c be w(-8). Suppose -z = c*z. What is the first derivative of j - 1 + j - 1 + z wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2 + 68*n - 66.\nAnswer: -2*(n - 33)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 12264, 12434, 12608, 12786, 12968, 13154, 13344?\n\"Answer: 2*g**2 + 164*g + 12098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1*sqrt(72)*-1)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 392502 (base 11) to base 5\nAnswer: 124240231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -745844 divided by -5566.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2465 is divided by 611.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 260316899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-125)\/(-4 - 10878\/(-2720)). What is k rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2280*o - 663. Calculate the remainder when v(2) is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/7))**(-16)\/((d\/d**(1\/2))\/d)**(3\/7) assuming d is positive.\nAnswer: d**(67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((2040\/(-416))\/(-51))\/(-5)\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45 - j**2 + 45.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 26*q**2. Let n(x) = x**2 - 5*x. Let j(m) = m. Let w be (20\/(-8) + 2 + 1)*-2. Let d(l) = w*n(l) - 5*j(l). Determine d(k(v)).\nAnswer: -676*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1011421 (base 5) to base 12\nAnswer: 965a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 8297, -3, 5, 10 in increasing order.\nAnswer: -5, -3, 5, 10, 8297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4.65 - -4.7037. What is t rounded to 3 decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1 + 2*k + k + 0*k - 6*k wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 20, -5*r + 0*r = -3*n + 34. Suppose 2*d - 4 = -n. Calculate the smallest common multiple of (0 + d\/2)*-2 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 18 = -2*s, -14*o + 24 = -16*o - 5*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -4  (b) 2\/47  (c) -7  (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/(-390)*10)\/1*(-11)\/8*-3.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 9:57 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -24*(-9)\/48*-3*(-42)\/27?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 less than 951184?\nAnswer: 951179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38455 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 AM and 3:35 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5748, 11470, 17192, 22914?\nAnswer: 28636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) + 0 + sqrt(11) + sqrt(11))**2*3 - (sqrt(11) + -6*(sqrt(33)\/sqrt(3) - sqrt(11)) - (sqrt(11) + 1 + sqrt(11) - sqrt(11))*2)**2.\nAnswer: -4*sqrt(11) + 2097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10512914 and 8104.\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = k - 13 + 37, -85*k = -2*l + 2642 - 1448 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 65 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -219 - -265. Calculate the common denominator of 33\/9*(b\/(-6) - -6) and -17\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(7) + -3 + 4 - (4 + ((-4*sqrt(70) + sqrt(70) - sqrt(70))\/sqrt(10) - sqrt(7))))**2.\nAnswer: -18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 4. Suppose 3*w - 18 = s*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -120, -4 in descending order.\nAnswer: -1, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27677266 and 1598?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*(-41)\/26 - 50\/325. Solve 2*t + 4*c + 6 = 0, -k*t + 0*c - 18 = -3*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 13, -53 in increasing order.\nAnswer: -53, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 20 = -0*t - 5*t, t = 3*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4046 = -1277*x + 988*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*l + 18 = 54 + 298 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 19 = 4. Suppose s*p + 3*p = -48. Is (-3)\/2*p\/6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 141 + -130 + -1 + (-1 - -20)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -24 - 791*d - 1434*d + 24 in the form v*d + p and give v.\nAnswer: -2225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17 + (46 - 12) - -1) + 0 + -18.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 235 and 18635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 16*n**4 - 156*n**3 - 204*n**2 - 44*n + 3. Let o(b) = 4*b**4 + b**3 - b + 1. Let c(h) = -15*o(h) + 5*s(h). Find j, given that c(j) = 0.\nAnswer: -1, -1\/4, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of y**5\/60 + y**4\/12 + 2*y**3\/3 + 3*y**2\/2 + 2. Let w(z) be the second derivative of j(z). Determine w(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -41\/4. Suppose -6*v + 311 = 305. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 343*n - 235*n - 2808 = 0 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 440.04987 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d - 1. Let a be p(-6). Solve 2*g = g + 2*i - 2, 5*g - a*i = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 - 68. Let g(t) = -t**2 + t - 30. Let z be g(0). Let h = z - l. What is the smallest common multiple of h and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 217404.\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 137 divide 28423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -72*m. Let g(n) = 5*n. What is g(o(s))?\nAnswer: -360*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -439 = -5*u + 4*x, 0 = -x + 4 - 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of 31\/105*l**6 + 11\/147*l**7 + 0*l**2 - 10 - l + 5\/42*l**4 + 27\/70*l**5 - 2\/21*l**3. Factor i(q).\nAnswer: 2*q*(q + 1)**3*(11*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (287\/(-123))\/(2\/(-894)). Calculate the greatest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*y**2 + 60*y**2 - 27 + 63*y**2 with respect to y.\nAnswer: 258*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -4*m - 4*o, -2*o = -20*m + 16*m + 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 8 - 21)*(3*g + g - g)*(-1 + 3 - 1)*(0 - 1 + 0)*(9 + 2 - 18) to a + r*g and give r.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 + 213. What are the prime factors of i(0)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 15660247, 15660249, 15660253, 15660259, 15660267, 15660277?\n\"Answer: s**2 - s + 15660247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5153766 is divided by 1496?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/14641, -5, -2, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*z**2 + 13*z**2 + 15*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.82552*0.4.\nAnswer: 0.330208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4158 is divided by 89?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 17541203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 4785*t - 4785*t - 1668*t**2 as c*t + l + f*t**2 and give f.\nAnswer: -1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-5\/4))**(3\/13)*(y**(2\/15)*y*y)**31 assuming y is positive.\nAnswer: y**(51359\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/33))**(12\/5)\/((h\/(h\/h**(1\/3)))\/(h**(13\/4)\/h)) assuming h is positive.\nAnswer: h**(1361\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -3*b + 2*h + 982, 1306 = 4*b + h. What are the prime factors of b?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -167 and -3\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -87.59374 - 8.40116. Let j = -96 - r. What is j rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1031b (base 16) to base 2.\nAnswer: 10000001100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 + -1. Let i be 6*(g\/8)\/7. Differentiate -i*t**3 - t**3 + 4 + 2 with respect to t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -61\/24 - -23\/8. Suppose -2\/3*p**3 - 1\/3*p**2 + 0*p - r*p**4 + 0 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 259 and 148?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(((-3)\/(-1))\/(-9)). Let r be (42\/y)\/(10\/75). Find the second derivative of 35*n**3 - r*n**3 + 5*n**4 - 13*n wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 4\/14604883?\nAnswer: 4\/14604883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2429 + -652. List the prime factors of r.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 7*w**2 + 5*w - 3. Let v = -28 - -10. Let r = v + 12. Determine d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 5*g - 435. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 - 1 - (-4 - 6). Let c(b) = -b**2 + 8*b - 7. Let p be c(z). What is the tens digit of (7 + -10)*p\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*v + 18*v. Suppose 0*r - 5*k = -4*r + 247, v = -r - 4*k + 88. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v - 1. Let o be j(-9). Suppose 2*a + 3*a = -3*h + o, -3*a + 6 = -3*h. Suppose 22 + 2 = a*c. 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: Simplify v**(-11\/5)\/(v*v*v**(-3\/8)) assuming v is positive.\nAnswer: v**(-153\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 - (3 + 2 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*c - 39 = -0*c, 27 = 4*h + c. Sort 5, h, -2 in descending order.\nAnswer: h, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*x**2 - 6 + x - 14 - x**4 + 17 as p*x**3 + h + g*x + a*x**2 + z*x**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2185*g**3 - 545*g**3 - 537*g**3 - 545*g**3 - 542*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 1 - 2*p + 12 - 3 + p. Let r be n(7). Find the second derivative of -6*c**r - 4*c**4 + 10*c**4 + 6*c**3 + 4*c wrt c.\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4631666 minus -14?\nAnswer: 4631680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -65*y - 3. Let j be (-11)\/7 + (-30)\/70. Let p be i(j). Suppose -p = -5*c - 27. Solve 0*u = 4*u - c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 201201013331 (base 4) in base 13?\nAnswer: 1a88392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 6 = -r. Let m(a) = -r + 6 + 4 + a. Give m(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2532260.\nAnswer: 2, 5, 126613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/4 and 89\/2470.\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2925 by 15.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/3*(-97)\/2328*4392?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -36888040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -56470000 to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 25206*d - 226746. Give v(9).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 30 - 24. Let x be 0 + 33 + 3 + -9. Calculate the greatest common divisor of x and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -670*w + 35 = -665*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2*m = -92. Let f = m + 25. Suppose -f*s = -0*s - 40. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of y**3\/3 + 21*y + 33. Let m(o) be the first derivative of q(o). Let k(g) = -158*g. What is m(k(f))?\nAnswer: -316*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14718667 rounded to 4 dps?\nAnswer: 0.1472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + s - 40. Let x(h) = -10*h - 165. Let n be x(7). Let b = n - -238. Solve c - s = -b*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -9304 and 0.72959.\nAnswer: -9303.27041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 2. Let b(s) = s**2 + s**2 + 11 - 7*s**2. Let u(r) = -4*b(r) - 22*h(r). Let m(n) = -5*n**2 + 0*n**2 + 2*n**2 + 8*n**2. Calculate u(m(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1539 = 3*q + 3*v - 1722, 1 = 1175*v - 1174*v for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 734304, 734543, 734782, 735021, 735260, 735499?\n\"Answer: 239*n + 734065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 4588?\nAnswer: 50468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 9985 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*u - 134 - 124 = 0. Let m(c) = 3*c - 12. Calculate m(u).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -15157*z**3 + 6*z**2 - 6*z. Let l(j) = -268551721*j**3 + 106309*j**2 - 106309*j. Give -6*l(h) + 106309*u(h).\nAnswer: -15187*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (21\/(-2) - -4)\/((-1)\/2). Let o = -8 + x. Suppose -8 = -j - o. Solve -j*k + 9 = -3*c, -4*c - 3 - 7 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*j + 51*j - 12*j - 3*j + 4*j**2.\nAnswer: 4*j**2 + 46*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 6:06 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4002)\/(-2070)*160\/19488?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 9137\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001896914 to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k + k + 1 - 1.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 77*s - 18. Suppose -x = b - 9, -26*b = -24*b - 2*x - 14. What is the hundreds digit of a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of p**4\/4 - 16*p**3\/3 - 8*p**2 + 33*p - 1492. Determine o(17).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-76)*-13*68\/(-1105)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -97847800 to the nearest 1000000.\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 462 a factor of 332384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 529906 is divided by 182.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v - 3. Let t be u(-4). What is the highest common factor of t and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bqbbqatarrbrqbbtbtb. What is prob of picking 1 q, 1 a, and 1 b?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 + 6*h. Let q be p(3). Let k = 10 - q. Let j = 18 + -35\/2. Which is the closest to 2\/3?  (a) k  (b) -3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -434481.5 to the nearest 1000.\nAnswer: -434000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from jffjijffefifft?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.118 - 0.1293. Round f to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -140 in 0.2, -1476, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3 + 2 + 0)*1. Let x be (2\/4*-1)\/((-3)\/30). Suppose x*o + o = 9*o. Solve 0*p - 4*p + 20 = -w*h, o = -2*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 5*w + 6. Let h(a) = -a**3 + 5*a**2 - 4*a + 5. Let g be h(4). Let n be o(g). Suppose -n - 12 = -s. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -5*x + 3. Let y be o(6). Let u = -10 - y. Calculate the greatest common divisor of u and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1206*i**3 + 1212*i**3 - 2406*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of 0 + 1\/60*o**5 + 1\/24*o**4 + 0*o - o**2 - 1\/6*o**3 - 1\/120*o**6. Factor y(q).\nAnswer: -(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3958 is divided by 199.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10097215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 y when four letters picked without replacement from {y: 9, b: 3, p: 7}?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 152\/72 + -3 + (-256432)\/4653?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 11. Find the first derivative of 1 + 0*z**3 + 0*z**v + 1 + z**3 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 187 and 13727065.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3 + 2 - 7*c + c + 5*c. What is the lowest common multiple of 15 and s(-31)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9111435 is divided by 535966?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/10*34\/((-3162)\/31)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.62 - -23.38. Let r = g + -20. Which is the nearest to -1?  (a) r  (b) 0.06  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-20)\/1*(3 - (-10)\/(-4)). Let w be 16540\/100 - (-4)\/x. Suppose -q - r = -w, 4*r + 354 = 3*q - q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -23317607?\nAnswer: 23317603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 267 - 262. Suppose 3*x - 1516 = -n*v + 1752, 2*x + 8 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*(-2)\/4 - (82 + -88). Let g(o) = -3*o - 9. Let x(v) = -5*v - 14. Let w(f) = -8*g(f) + 5*x(f). Let j be w(0). Solve 0 = -p*c - j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-16)\/(-30)*-6*4\/(-16). Which is the third smallest value?  (a) -3\/2  (b) g  (c) 1  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 98*z - 76. Let l be o(2). Suppose -2*g + 104 = -0*g. Suppose 5*w = 5*t - 100, w = -t - t + g. Calculate the highest common factor of l and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631.7014cm in nanometers?\nAnswer: 6317014000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -n - 2, -3*y + 5 = -5*n - 3. Calculate the lowest common multiple of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2000 + -220431?\nAnswer: -222431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -41.4793 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1054, -5, -4, 4 in increasing order.\nAnswer: -5, -4, 4, 5, 1054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 AM and 6:15 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114*b = -102*b. Let q be 19 + -2*(-3)\/6. Suppose 5*o - q = h, -3*h + 6*h - 10 = o. Solve b*x = -h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - v + 1. Let r be 122 - 1*(8 + -9). Suppose -r*j = -132*j. What is f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 7 + 22*p**2)*(p**2 + 4*p - 4*p) + (2 + 10 - 1)*(-1 + 1 + 3*p)*(2*p**3 - 2*p**3 - 2*p**3).\nAnswer: -44*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - -1132?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nmnlmmnnmnnmmml.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, -3, 70, -115.\nAnswer: -115, -3, -3\/7, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 - (51 + (-16)\/(-4)). Let s be (76\/q)\/(4\/(-102)). Let j = s + -18. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 74898 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -155 + 155 + (14535 - -2).\nAnswer: 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 465.9055 days to nanoseconds.\nAnswer: 40254235200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*a - 3*a + 5*a + 4*a - a + 0*a + 6 + 3*a - 6 + (2 + 3 - 3)*(-2*a + 3*a + 0*a))*(5 - 9 - 9) in the form r*a + v and give r.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - t + 144 = 3*t, 2*x - 3*t - 62 = 0. Suppose -12*o = -10*o - x. Suppose -o*s + 21*s = 372. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3051.7 and -0.3.\nAnswer: 3051.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**(-46\/5)*m*m))\/m*m\/m**(-14)*((m\/((m\/(m**(22\/5)*m))\/m))\/m)**(2\/91) assuming m is positive.\nAnswer: m**(2031\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i - 3. Let g(t) = -t - 2. Let b be g(5). Let z be x(b). Let f = 15 - z. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 + 21*w + 17. Let q be f(21). Let n(x) = 9*x**2 - 95*x - 14. Let s be n(q). What is the highest common divisor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahjjjjjajaajha. What is prob of picking 1 j and 1 h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 0*i + 127 - 62 + 2*i + i + 0*i. Calculate q(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 134 + -1?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60619892.\nAnswer: 2, 17, 173, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 112430000 rounded to the nearest 1000000?\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 5 - 4 - 5)*(-23*l - 29 + 29) as u*l + o and give u.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jfjl. What is prob of sequence fjl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4349, 8723, 13097?\n\"Answer: 4374*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.25153905 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*w**2 + 8*w**2 - 3*w**3 + (-31 + 6 + 10)*(-3*w**3 + 3*w**3 + 4*w**3) + (0*w + 4*w - 3*w)*(1 - w**2 - 1).\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3 + 9310*m**2 + 18626*m + 9314.\nAnswer: -2*(m - 4657)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, k: 7}. Give prob of sequence kxxk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n\/(n*n\/n**(-1\/9)*n))\/(n\/(n*n**(-4))))**(-15) assuming n is positive.\nAnswer: n**(230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from uujndjdhdhth.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 17, m: 3}. What is prob of sequence cc?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 + -19 + -1 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 11:51 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 + 48 - (-8 + 25 + -109 - (0 - -2))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-165)\/66*((0 - 0) + -2). Suppose 2593 = 5*o - 4*g - 577, d*o - 3170 = -3*g. What are the prime factors of o?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5838464, -1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**2 + j - 2. Suppose -2 + 10 = 2*o. Suppose 2*y - m - 3 = -7, 4*y = -m - 8. Let n = y + o. Determine q(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -4*c**4 - 9*c**3 + 7*c**2 - 6*c - 12. Let x(w) = w**4 + w**3 - w**2 + w + 2. Let k(l) = -6*x(l) - y(l). Solve k(h) = 0 for h.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280 = -10*a + 930. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91317, 91310, 91289, 91248, 91181?\nAnswer: 91082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 285 - 288. Let h be 6\/(-4)*4\/(-6). Let y = -4 - -4.1. Which is the second smallest value?  (a) y  (b) m  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1007 = 10*j - 11*j. Let u = 72 + -228. Let g = u - j. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1805836 to the power of 1\/2, to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/(sqrt(24)\/(1*sqrt(6))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + v - 2*v + 9 = 0, -5*f = -v + 10. Let j be (-1*5*f)\/1. Let n = 9 - 8.9. What is the third biggest value in n, -2\/3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/18*-3)\/(11\/374*4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1960)\/(-2860)*44 + (48\/26 - 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g = -2*z - 6 + 16, -25 = -5*z - 4*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 8499.4 from -0.0286846.\nAnswer: -8499.4286846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -4*k**3 + k**2 - 5*k + 6. Let m(s) = -s**3 - s. Suppose -190*l = -177*l - 13. What is l*v(h) - 5*m(h)?\nAnswer: h**3 + h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 6*x + 8. Let j be l(-5). Suppose -j*i = -f - 2*f - 24, 0 = i - 5*f + 12. What is the greatest common divisor of 39 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -220120122?\nAnswer: 220120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2328?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -114 divided by 2?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14885 (base 12) to base 11.\nAnswer: -1a794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/2 + 3\/(-2). Let g = -4.2 + 4.5. What is the nearest to v in -0.4, 1\/8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 0)*12\/8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13297492763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 54, 2, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/5, -111\/11, -0.4, 4, -0.06, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4*u = -54. What is the lowest common multiple of 24 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8180 by -2045.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 8930666, 8930661, 8930656, 8930651, 8930646, 8930641?\n\"Answer: -5*a + 8930671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/80 - 40\/(-100)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in ten thirds of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 8) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1274 and 24647.\nAnswer: 640822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zxxxzx. Give prob of sequence xx.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 5) + -3 - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 3*g + 5 = 0, -29*i + 27*i - 4*g = -16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1333 (base 8) to base 12\nAnswer: 50b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2\/5 - 2856*d\/5 - 23104\/5.\nAnswer: 4*(d - 722)*(d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -84, 24, 134, 246, 360, 476, 594?\n\"Answer: c**2 + 105*c - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1*-1 - 1\/(-3)*93 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 + -5 - 2 - -4) + (-7 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t. Let y(r) = r - 4173. Calculate 3*m(p) - y(p).\nAnswer: 2*p + 4173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 4. Let b be k(0). Suppose 13 = -2*m + 3*n, -3*n = -b*m - n - 6. What is the least common multiple of m and (-264)\/616 - 944\/(-8)*1\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 + 0 + 3 + 3)*(18*v + 39*v - 16*v).\nAnswer: 41*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1222 smaller than -1221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-3 + sqrt(832) + 2 - sqrt(832) - sqrt(832)) + 0 + 5)**2.\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**3 - 10*c**2 - 50*c - 172. Determine i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-5)\/((-20)\/28))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 + 72 = 5*u. Let o(x) = -u*x - 18*x - 17*x + 54*x. Let f(t) = -8*t. Let l(c) = 3*c. Let z(q) = -6*f(q) - 17*l(q). Give z(o(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (c**2 + 82 - 19*c**3 - 161 + 77)*(c - 3*c + 3*c) in the form b*c + j + r*c**3 + x*c**4 + l*c**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-3170883.\nAnswer: 3170883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51050, -102091, -153132, -204173?\nAnswer: -255214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14677*t**3 + 3697*t**2 wrt t.\nAnswer: -88062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19.9 - 19. Let u = y + -0.9. Which is the biggest value?  (a) 0.5  (b) u  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of c**7\/140 + 13*c**6\/360 + 20*c**3\/3 - 4. Let w(d) be the third derivative of i(d). Find the third derivative of w(f) wrt f.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a minute in milliseconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 95083081?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 29637*y - 533472. Calculate k(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -7*v - 1. What is i(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, h: 2, v: 1}. Give prob of picking 1 f and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1677 + 1928. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17534 = -u + 2*c, 4*u = -2*c + 7*c + 70142. Let q = u - -10001. Let n = q - 70539. What is n rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -594354, -2377411, -5349170, -9509631, -14858794, -21396659, -29123226?\n\"Answer: -594351*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -871, -1, 0.5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 149*g + 5. Let m(k) = 180*k + 2. Determine -4*m(y) + 5*p(y).\nAnswer: 25*y + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d + 1. Let f be p(-1). Suppose 2*z - 4*b - 26 = 0, -2*z - f*z + 3*b = -51. Calculate the remainder when 2\/5 + 73\/5 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(3\/20)*d*d*d**39*d)**(-33) assuming d is positive.\nAnswer: d**(-27819\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 11:30 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 363.3 + 24398.62365?\nAnswer: 24761.92365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-12))\/((-8)\/(-32))*(-1215)\/(-81)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 7*q - 4*q. Let i = 12 + q. Suppose 5*y + 2*s - 246 = 0, 3*s - 7*s = y - 42. Calculate the remainder when y is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**5\/2 + 48*p**4 + 408*p**3 + 832*p**2 = 0. Calculate p.\nAnswer: -4, 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**2 + 8. Let w(o) = -o**3 + 9*o**2 + o - 33. Calculate -9*i(c) - 2*w(c).\nAnswer: 2*c**3 - 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6257 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -430 (base 6) in base 13?\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -314 - 2 = -4*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1755*r - 192 = -1747*r. Calculate the common denominator of -3*r\/30*(-39)\/(-12) and 77\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011000 (base 2) in base 14?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1021, 2292, 3563?\n\"Answer: 1271*f - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3218*x = -3239*x + 336 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -1 + 0 - 3 - 16*o + 13*o. Let k be w(-1). Let n be (-12)\/(-16) + (-46)\/40. Are n and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in 2, -21, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1174 + -69264\/59. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 0*y + 2*y = 54, 2*b - 4*y = 42. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -89*i + 533. What is the hundreds digit of d(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, 3, 14, 27?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7982 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -98 - -166. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -539 divided by 77.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9932 - 39459\/4. Let y = 68 - k. What is the second smallest value in -0.4, 0.2, y, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -64, -152, -246, -352, -476, -624?\n\"Answer: -r**3 + 3*r**2 - 90*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, o: 1, a: 2, h: 1, b: 2}. What is prob of picking 1 o, 1 h, and 1 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129557*p - 259088*p + 129545*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29934 is divided by 205.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 86\/86877 and -50\/12411.\nAnswer: 86877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -3*m + 13. Let g be (-1)\/6 - (-70)\/(-12). What is the units digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -30*f + 29*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 131550 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f**3 + 2*f**2 - 1. Let b(v) = -v**3 - 3*v**2 + 1. Suppose 0 = 5*j + 2*z + 12, 5*j + 10 = 2*z + 2. What is j*b(x) - 3*s(x)?\nAnswer: -4*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -846902, -3387576, -7622014, -13550204, -21172134, -30487792, -41497166?\nAnswer: -54200244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.8 and 0.04.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 3123*p + 6735*p - 3475*p - 330*p + 10662*p in the form r + v*p and give v.\nAnswer: 16715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.2 + -1.6. What is the second smallest value in -0.1, 5, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -180, 9, 502, 1449, 3000?\nAnswer: 5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/9, -2\/7, 2\/17, -14.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 707055*y**2 - 4949425*y + 280.\nAnswer: 5*(y - 7)*(141411*y - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 + 13*w**2 + 7*w - 27. Let k be u(-12). Let 3*s**3 - k*s**2 + 105*s - 55 - 23 + 3 = 0. Calculate s.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1400 - 24. What are the prime factors of a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2 + 4 + ((2 + sqrt(1008))*3 - sqrt(1008)) + sqrt(1008)*-2 + 2))**2.\nAnswer: 7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -75.1 - -75.100001268. What is d rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 1 + 28 + -31?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*a + 197 - 251 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 10 = 6. Suppose n - 3*n - 6 = -3*m, -10 = r*n - 5*m. Find z, given that -1\/2*z**2 - z + n = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*l**3 - 1 + 34*l**3 + 4*l - 15*l**3 - 9*l**3 - 8*l**3 to k*l + g + m*l**3 + v*l**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (135 - 178 - (75 + -7)) + 45.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 177 + 138. Suppose -3*g + l + 212 = 2*g, -4*g - 4*l = -160. What is the highest common divisor of g and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2124387*t**2 + 341912*t**2 - 287895*t**2.\nAnswer: 2178404*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, o: 7}. What is prob of sequence ookk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 86 and 266729?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -3*h**2 + h + 3. Let d be -14*((-13)\/78 + 8\/12). Let t = 4 + -6. Let b(s) = -s**2 + 4 + 11*s**2 - 14 - 3*s + 0*s**2. Determine d*x(o) + t*b(o).\nAnswer: o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j**3*j))\/j*j**(-2\/19))\/((j\/j**(-2\/5))\/j)**(-14)*(j*j**0*j**(-2\/17))**(-5\/13) assuming j is positive.\nAnswer: j**(45252\/20995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -402*w**4 - 16*w**3 - 2025?\nAnswer: -1608*w**3 - 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*k + 4. Suppose 2*u = -10, 0 = -3*c - k*u - 3*u + 41. Let n be 4\/22 - (-62)\/c. Solve n*a - 6 = 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16*b**4 + 9*b**3 + 574.\nAnswer: 64*b**3 + 27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4948620 is divided by 216?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxdfx. What is prob of sequence vx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -7*f + 93. Suppose f*l - 14*l = -45. Let d = l - 42. Solve 0 = -d*y - 2 - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 - -0.1880758.\nAnswer: 3.1880758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -870*j**2 + 871*j**2 + 45*j + 0 + 0. Let y(s) = 12*s. Calculate f(y(g)).\nAnswer: 144*g**2 + 540*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -3*r**2 + 19*r + 4. Let y be o(6). Suppose 435 = -y*c + 9415. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 142 - 138. What is the smallest common multiple of 6 and (w + 0)\/(-4)*-8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.47543 centimeters to micrometers.\nAnswer: 784754.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 5*h = 5, h + h = 4*j + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -691 + 1211. What are the prime factors of h?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 43, 34, 25, 16, 7?\n\"Answer: -9*y + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119831 = -4502*q - 34293 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158724 is divided by 284.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, 3, -5 in decreasing order.\nAnswer: 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/29?  (a) -41\/3  (b) 0.342  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 55, -2\/21, 2, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjgjsgsgsgj. Give prob of picking 1 g and 3 j.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-47)\/90 - 42\/(-189).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -8. Suppose -v = 4*v - 45. What are the prime factors of v\/b - 2\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 2*k + 2*k)*(-4 - 1 + 3)*(k**2 - 5*k**2 + 3*k**2).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttv when three letters picked without replacement from {v: 4, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 282993, 282902, 282811, 282720, 282629?\nAnswer: 282538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17038242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 1. Suppose 6 = -n*a + 5*a. What is the third derivative of -d**6 + 0*d**2 - d**6 + 2*d**a wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f + 9. Let q(g) = -g + 14. Give -5*q(b) + 7*r(b).\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -46 - -48. Suppose -137 + 21 = -p*i. Suppose 50 = -2*x + i. Solve -c = -x - 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rbbwwbkjnrrj. What is prob of sequence knj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + 62*i + 3180. Give p(-34).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 5646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1922179657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 3*a + 3*a)*(-6 + 5 + 3 + (-6 + 2 + 2)*(-2 + 1 + 2) + 1 - 2 + 2).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 4*w + 2*o + 8, -o = w + 3. Let l be (2 + 1)*(-124)\/(-36) + -5. Let l*z - 4\/3*z**w + 20\/3 = 0. Calculate z.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 322  (b) -2  (c) 3  (d) 1\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1062\/11 + 96. Let l = 0.36 - -0.04. Which is the closest to 1\/4?  (a) -1  (b) l  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7667420 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:33 AM and 3:00 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus 25.4957?\nAnswer: -24.4957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 240 and 2490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 108322  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**5\/2 + 19*k**3\/2 - 3*k**2 - 36*k = 0. What is k?\nAnswer: -4, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 240 - 238. Let l = 3 - 2.96. Which is the nearest to -1\/5?  (a) -4  (b) l  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/570 and -14\/1235.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/16 less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -17, 0.1, 81, 8, -13, 4, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2558 divide 1431451684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*u**2 + 75*u - 35.\nAnswer: -5*(u - 7)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 1 = 2*b - 3, 5*t = 5*b. Let f(c) be the first derivative of 0*c - 3\/10*c**t - 23 + 1\/15*c**3. Factor f(m).\nAnswer: m*(m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 260848 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 + 150*z + 8. Let d(w) = 3*w**2 + 447*w + 23. What is -17*a(g) + 6*d(g)?\nAnswer: g**2 + 132*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100218 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(34*1)\/(34\/17*-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 - 2. Let i be (-1)\/(0 - (-1)\/(-3)). Let a(w) = w**2 - 3*w - 1. Let g be a(i). Is d < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 46121 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 6:02 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 374 = -38*b - 6 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {s: 1, w: 8, l: 6}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 6) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 i, 1 g, and 1 u when four letters picked without replacement from {i: 1, g: 2, u: 1, o: 1, p: 11}.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m + 2*m - 3*m + 7*m. Let j be a(4). What is the derivative of 1 - 4*p**4 + j - 9 wrt p?\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1320\/733 or -2?\nAnswer: -1320\/733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q**2. Let w(k) = 148*k**2 - 146*k**2 + 28 + 34. Calculate v(w(x)).\nAnswer: 8*x**4 + 496*x**2 + 7688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 5*s - 6. Let u(z) = -4*z + 6. Determine -4*u(h) - 3*v(h).\nAnswer: h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1936 rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -6. Let l = 2.5 - 4.5. What is the second biggest value in -2\/3, l, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.3 - -4.2999. What is y rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -q**2\/2 - q + 33. Let o = -14 + 11. Let j be 3 + (0 - -7) + o. Give z(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z - 12. Let y(h) = -2*h + 11. Let i(j) = -5*p(j) - 6*y(j). Let a be i(7). Let d = a - -10. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (220079958\/(-8))\/(-7) + 9\/12. What is h rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3205 + 2.3443.\nAnswer: 3207.3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - -20. Let z be 9*2\/y*5. Suppose u - 3*u = 2*t, -z*t - 6 = u. Solve 0*k = -u*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -174*j - 213*j + j - 6948 = 0 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 3*j**2 + 0 + ((3*j + 2*j - 6*j)*(0*j + 0*j + 2*j) - 2*j**2 - j**2 + j**2)*(-3 - 4 - 25).\nAnswer: 131*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, s: 1, j: 2, c: 2, e: 9}. Give prob of picking 1 s and 3 t.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1 - 0. Let v = y - 0.6. Let u = -0.74 - -0.54. Put 0.1, v, u in decreasing order.\nAnswer: 0.1, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -8*i**3 - i**2 - i. Let v be b(-1). Suppose -3*m - 25 = -v*m. Solve 0 = 4*c + 6*z - z - 11, -m*z = -5*c + 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 + 66. Let n = k - 45. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + n = -4*n + 29, 3*g + 57 = 5*n. Let f(z) = -z**2 - 13*z + 12. Let r be f(g). Put 1, 7, r in ascending order.\nAnswer: r, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 924998756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yggggyyyygygyggg. What is prob of picking 2 y and 1 g?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/329 and -31\/1363.\nAnswer: 9541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25081402 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -229010, -228417, -227824, -227231, -226638?\n\"Answer: 593*g - 229603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -48308.9941 - -48311. Let g = 0.0059 - h. What is the nearest to -5 in 1\/7, 0.3, 3\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 - 17*i + 40. Suppose -j + w + 20 - 7 = 0, -j + 25 = 3*w. Calculate the smallest common multiple of x(j) and 11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + i = -4*i + 320, 0 = -i - 5. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1358072 is divided by 203.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2790 and 3678165?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - r + 24 = 2*r + r, r = -97*g + 92*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*t = 25*t - 0*t - 206950. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8788?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 212 = -250. Suppose -h + 201 - w = 0. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1146)\/(-10) + 4\/10. Let z = -533 - -579. Calculate the greatest common factor of w and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 983317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2548640896 by -4.\nAnswer: -637160224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -16*o**2 + 72*o - 9. Suppose 9*w - 388 = 116. What is the remainder when w is divided by q(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, k: 3, n: 2, x: 12, r: 1}. Give prob of sequence xnx.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {n: 2, m: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of j**9\/80640 - j**8\/20160 - j**7\/5040 - j**5\/20 - j**3\/6 + 79*j**2. Let m(q) be the third derivative of f(q). Factor m(x).\nAnswer: x*(x - 2)*(3*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, 2318, 6237, 11702, 18701, 27222, 37253?\nAnswer: 48782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-7)*s\/(s**2\/s*s)*s*s)\/(s*s\/(s**1*s*s))**(6\/5)*(s*s*s\/s**(-6)*s**1\/s)**(2\/39) assuming s is positive.\nAnswer: s**(-282\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 15 = -5*l, -5*t - 4*l = -l - 28. Suppose 0*w + 2*i + 1877 = t*w, -3*i - 1496 = -4*w. What are the prime factors of w?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1344) - (sqrt(1344)*2 - sqrt(1344)) - sqrt(21))\/((sqrt(7) + sqrt(63)\/sqrt(9))*-2) + 1.\nAnswer: sqrt(3)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -171*x**3 - 4*x + 24.\nAnswer: -1026*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(270))\/sqrt(9))\/(1*sqrt(96)) - (sqrt(125)*-2*5 - (-5*1*sqrt(10))\/sqrt(2)))**2.\nAnswer: 160205\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5884*d**2 + 16*d + 14.\nAnswer: 11768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/9)*d*d\/d**(-2\/23)*d)\/(d**(-15)\/d**(-34)) assuming d is positive.\nAnswer: d**(-3271\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -204*b**2 + 1224*b - 8. Give q(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.3, 0.04209, 9, -0.4, -0.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -2*s + 3*s. Solve 5*l + 2*b + 9 + 21 = 0, 3*l + 2*b = -s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/124 and 43\/317.\nAnswer: 39308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q + 10. Let s be o(-7). What is the first derivative of s - 3 + 1 + r**4 + 2 wrt r?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 7:33 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12845094 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 140, 286, 440, 608, 796, 1010, 1256, 1540?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3689 = 3771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 994 = -a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 586482*a**2*l**4 - 3*a**2*l + 56*a**2 - 3*a*l**4 + 3*a*l - 13*l + 37 wrt l?\nAnswer: 7037784*a**2*l**2 - 36*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 2)*(1680*r + 69*r + 4863*r).\nAnswer: 6612*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4347679 kilograms in micrograms?\nAnswer: 434767900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g**2\/5 + 3*g = 0. What is g?\nAnswer: 0, 15\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**3 - 2*x**3 - 2*x**3)*(-3*x**2 - 3 + 3) + 3*x**4 + 2*x**5 - 4 - 3*x**4.\nAnswer: 23*x**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 54 (base 7) to base 13\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 47586 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(76) + -2)**2.\nAnswer: -48*sqrt(19) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 + -2. Suppose -3*f = -48 + q. List the prime factors of ((-8)\/f)\/((-10)\/275).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 PM and 7:58 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1132655 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 31230515?\nAnswer: 31230511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 113.57 + -113.58. Sort 5, 3, a, -3, 2 in ascending order.\nAnswer: -3, a, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -2*p**3 + p**2 - 2*p + 1. Let w be b(1). Let s = w + 5. Suppose s*z + 3 = 2*a - 6, -2*z + 7 = 3*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -64\/63 and 79\/1080?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i*(i*i**(2\/11))\/i*i)*i\/(i\/i**(-37))*(i**12*i)\/(i\/i**(-1\/19)) assuming i is positive.\nAnswer: i**(-5483\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, e: 6, w: 1, c: 1, b: 1, i: 1}. Give prob of picking 1 i and 2 a.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 102.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**2\/4 + 1905*s\/4 - 477.\nAnswer: 3*(s - 1)*(s + 636)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10029211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4135629 and -3.\nAnswer: 12406887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1305 (base 9) to base 4\nAnswer: -33101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1*7\/(294\/(-6))*133\/(-2052)*-6\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/9, 7144, -0.07?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f - 19. Let h be b(7). Solve 5 = h*i - i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 75*p**3 + 27465*p**2 - 22008*p + 4404.\nAnswer: 3*(p + 367)*(5*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + y - 1 + (2*y + 1 - 1)*(1 - 1 + 2) + 2*y - y - 2*y)*(166 + 8 + 19)*(2 - 2 - 2)*(-1 - 4 + 2).\nAnswer: 4632*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = q + 33. Let b(s) = 2*s**2 - s + 0*s + s**2 - 6*s**2. Let m = 0 - 2. Let f(g) = -16*g**2 - 6*g. Calculate m*f(i) + q*b(i).\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of c**8\/9240 - c**7\/2310 + c**5\/330 - c**4\/132 + c**3\/3 - 3*c**2. Let r(n) be the first derivative of h(n). Factor r(b).\nAnswer: 2*(b - 1)**3*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -38*q + 38*q - 17*q**3 + (3 + 2 - 4)*(2 - 3 + 2)*(2 + q**3 - 2) + 2*q**3 + q**3 - 6*q**3 as r*q**2 + g*q**3 + b + t*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*v, -2*g = -6*v + 3*v - 1091. Let p = 581 - g. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -7.3. Which is the nearest to 2?  (a) 0.3  (b) n  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (3\/(-9))\/(2\/(-270)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 23297\nAnswer: 3\/23297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 556 - 111 = 0. Let f = o - 104. Let i(x) = x + 45. Let v be i(f). Calculate the greatest common divisor of 20 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*s - 53*s - c = -12087, -c + 36255 = 3*s. Is 159 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2  (b) -2\/5  (c) 208  (d) 22\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26 by -1125.\nAnswer: 26\/1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 931 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 98.09783 days?\nAnswer: 8475652512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 14 = 5*o, -5*o + 3*j + 16 = -2. Let s(r) = -r**2 + 6*r. Let x(t) = 3*t**2 - 13*t. Let g(k) = o*x(k) + 13*s(k). Let n(q) = q**2. Determine n(g(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10 or -0.28575?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05100489999 rounded to four dps?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 866699003?\nAnswer: 19, 109, 418493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4462383417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2310\/28)\/55)\/(22\/(-4)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 + 15*u**2 + 33*u - 43. Let i be v(-4). Let a be 2*3\/2*1. Solve 0 = -z + a + i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -77*p**2 + 56*p + 56. Let o(z) be the first derivative of -4*z**3\/3 + 3*z**2\/2 + 3*z - 149. Calculate -3*i(g) + 56*o(g).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*d - 17 = 109 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -291.769 * -0.2\nAnswer: 58.3538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1304 + 1309. Which is the nearest to -1041?  (a) -2  (b) -3\/2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2. Let b(h) = h**3 + 7*h**2 + 4*h - 6. Let i be b(-6). Let u(r) = 5*r - i*r + r - 2*r. Determine m(u(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 713 and 744.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -93, 193, 863, 1911, 3331, 5117, 7263?\n\"Answer: -f**3 + 198*f**2 - 301*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 97588 in decreasing order.\nAnswer: 97588, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 434 + 50 = 0. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7777 (base 16) to base 6.\nAnswer: -353331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*m**6 + 619*m**5 - 3*m**2 - 160?\nAnswer: -240*m**3 + 37140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05 - 277.\nAnswer: -276.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of -19\/120*g**6 + 4\/5*g**5 + 0 - 1\/30*g**7 - 63*g**2 + 0*g + 11\/6*g**4 - 8\/3*g**3. Determine h so that n(h) = 0.\nAnswer: -4, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.126 and 1.2851 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 8*z - 7. Solve -g - 1 = z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2147*u + 548*u + 21744 - 4155 = 0 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 93 and 291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 82.30289mg?\nAnswer: 0.00000008230289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133755 is divided by 133747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (8\/36)\/((-32)\/(-1600416))?\nAnswer: 2, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 5*p + 3835 = 0, -3*v = 4*p - 3413 + 537. Let s be v\/520 + 2\/13. Solve 3*l = 2*l + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 69100359*f**2*i - 2010*f**2 + 15802*f - 1 wrt i?\nAnswer: 69100359*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2734 divided by -35250.\nAnswer: 1367\/17625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = -7*w + 8, 5*q - 40 = -43*w + 45*w for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -381 divided by -127.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -5*c + 32, -c + 18 = 5*d - 1. Find the second derivative of 29*k**3 - d + 11*k + 3 - 56*k**3 wrt k.\nAnswer: -162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 630 and 177390?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -15*d. Let o be n(-1). Let r = -7 + o. Let r*s**2 - 2*s**2 - 4*s**3 - 5 + 3 = 0. What is s?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2144.4673 - 2134.46. Let y = -2.6 + 12.6. Let p = y - b. Round p to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 847.8218 micrometers?\nAnswer: 0.0000008478218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**2 - 1 - 5*t**2 + 2 - 1.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*k**2\/7 - 23976*k\/7 + 23970\/7.\nAnswer: 6*(k - 3995)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -6*i**2 + 13*i - 6. Let d(v) = v**2 - v + 1. Let r(p) = -5*d(p) - j(p). Suppose -60*o = -555 + 135. Determine r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6, -17, -30, -45?\n\"Answer: -y**2 - 8*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((5 - 9)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h - 14. Let y be j(-7). Suppose 0 = -21*z + 24*z - 9. Solve z*w - 7 = -v - 1, -v - 3 = y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/5 - 9997682*k\/5 - 24988411343281\/5.\nAnswer: -(k + 4998841)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 149 + -15. Let b = h - 77. What are the prime factors of b?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1421798236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 3*q - 3*q)*(0 + 0 - 2*q) + (-3*q + 3*q - q)*(0*q + 2*q - q) - 4*q + 4*q + 2*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**5 - y + y)*(105 - 82 + 1317 + 165).\nAnswer: -1505*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1144)\/(-22) + -1*(0 + 1). Suppose -l*b = -8*b - 27864. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5993484 is divided by 471.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 356 divide 365588204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -66 - -69. Let t(l) = 2 + 1 - 9*l**2 + 0 - 4*l**3 + 3*l**3. Calculate the remainder when c is divided by t(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4067 - -4067.00009859. What is y rounded to 6 dps?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**3*y**3 + 207663*a**3 + 320*a**2*y**3 + a*y**3 - 2*y**3 - y**2 wrt y?\nAnswer: 12*a**3 + 1920*a**2 + 6*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28856\/679 + 3\/1358. Let a(p) = 19*p - 12. Let j be a(-8). Find the common denominator of -1*j\/80*2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80996651.\nAnswer: 47, 1723333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, d: 4}. What is prob of sequence ddd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 942250479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0038119746 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 36\/(-288) - (-7)\/24. What is the closest to -2\/3 in m, 7, -3, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + (0\/3 - 1). Suppose -n + 2*n = b. Is n + 58 - 1\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 106 + (-15 + -11 + 24 - (1 - -5)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2424579*q**2 - 1987035.\nAnswer: -4849158*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 9. Suppose -5*u - 64 = -f, -k*f + 3*f = -2*u + 29. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2616041621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**4 + 12190*w + 2*w**3 + 2 - 6119*w - 6103*w as x + j*w + r*w**2 + h*w**4 + c*w**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of -l**6\/900 + 11*l**5\/600 - l**4\/24 + 2*l**3 - 30*l. Let t(q) be the second derivative of o(q). Find c, given that t(c) = 0.\nAnswer: 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 + -22 + 36 + 9 + (-4 - -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:39 PM and 5:44 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0*x = -12. Let r be x\/(0 + (-6)\/9). Is 5 a factor of (r\/(-12))\/(6\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 2 + 0)*(0*v**4 + 2*v**4 - 3*v**4).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1310012313222 - 10?\nAnswer: 1310012313212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -120 - 2*n**4 - 32*n + 138*n**2 + 15397*n**5 - 16*n**4 + 34*n**3 - 15399*n**5 = 0.\nAnswer: -10, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(((-1)\/58)\/(7*63\/(-1764)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -193285039679.1.\nAnswer: -193285039680.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 15377.8193 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1245, -1297, -1441, -1725, -2197, -2905?\n\"Answer: -8*c**3 + 2*c**2 - 2*c - 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 26\/(-117) - 5926\/(-18). Is (x - -2)\/(2 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of m**6\/2 + 3*m**3\/2 + 17*m. Find the second derivative of g(y) wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2985 + -2495. Is 3 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37 - (-31 - 45) - 37\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6477 + -64849\/10. What is the common denominator of 1 - -1 - (-4)\/10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 644500.\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 470314743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 - 5*r - 4. Let g be n(-4). Suppose -4*l + 39 + 1 = g. What is the remainder when 6\/(-4) + (-366)\/(-12) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33 - 38. Let y be (-2 - -2) + -2 + (-10 - f). Let m(d) = 4*d + 4. Give m(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aassssasas. Give prob of sequence aaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12, -14, -28, -60, -116, -202?\n\"Answer: -x**3 + 5*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 5, -6, -5, 2, 2\/179?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-12)\/5)\/(6\/(-44355)). Suppose 4*j + j = -2*o + u, -5*o + 2*j + 44326 = 0. Suppose 3*d + o = -5834. Round d to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24412 - -21135?\nAnswer: -3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10408?\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*y - 11*y - 4*a + 9164 = 0, -4*a + 2294 = -y. What is y rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5776729 is divided by 409.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 430 and 13387190.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -117*i - 846 + 1314 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1233 + 1236. Let q be (-66)\/21 + 1\/7 - -3. Solve 0 = m*v - k + 12, q = 7*v - 3*v - 3*k + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of o**7\/210 + 3*o**6\/40 + o**5\/15 + 12*o**2. Find the third derivative of a(s) wrt s.\nAnswer: 24*s + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s\/((((s*s**20\/s)\/s)\/s*s)\/s)))\/s)\/(s\/s**18))\/(s*s*s**(-21)*s*s*s*s*s**(-1\/8)*s) assuming s is positive.\nAnswer: s**(385\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 22 = 3*o, -7*h + 3*h = -2*o - 20. Let k(m) = -m**3 + 5*m**2 + 4*m + 5. Let i(f) = -f**3 + 4*f**2 + 3*f + 4. Calculate h*k(r) - 5*i(r).\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 3:44 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54 + 58 - 3*w - w + 145 - 3*w - 8*w - 258.\nAnswer: -15*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10303793527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from tucmw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**4 + 0*f**4 - 11*f**4 + 424*f**3 - 11236*f**2 + 3*f**4.\nAnswer: -4*f**2*(f - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 136, 376, 712, 1144, 1672, 2296, 3016?\nAnswer: 3832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 41\/17220*42*(26 - -2). Let r*y**3 - 6\/5*y**4 + 9\/5*y - 2\/5 + 1\/5*y**5 - 16\/5*y**2 = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03 * 3.5614.\nAnswer: -0.106842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*x = -28*x + 60. Are x and -15 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -8, 2*n - v - 4 = v. Suppose -3*t - 5*b + 6 = -n, -2*b + 8 = 2*t. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - s + 20. Let l(v) = v**3 - 3*v**2 - 13*v + 10. Let z be l(s). What are the prime factors of ((3625\/10)\/z)\/(1\/(-2))?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 503397 and 0.04?\nAnswer: 20135.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.1 + -1. Suppose -3 = 2*h + 3. Let j be h\/((-4)\/((-16)\/18)). Which is the third smallest value?  (a) x  (b) 0.2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 0*r + 5175 = -5*c, -4*r - 3*c + 6871 = 0. Is r a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -254931.17 and 30.02.\nAnswer: -254901.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 0 - 3. Suppose d = 5*l - 15, -20*d + 13 = -15*d - 3*l. Sort 0, 3, d, x in decreasing order.\nAnswer: d, 3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 413 divided by -2?\nAnswer: -413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (69 + 23304\/(-336))\/((-60)\/(-63))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 46 and 56166?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-12))\/(3\/(-4)). Let t = -8.88 - 0.12. Let f = -9 - t. Which is the closest to -1?  (a) o  (b) 1\/6  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = p + 3*p + 111, 138 = -5*p + 2*z. Let a = p + 17. Let k = a - -11. Solve 12 = -k*o + 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2*u = -h, -22 = -3*h + 5*u. Suppose 3*m = 6*m + 4*k - 18, h*k + 12 = 2*m. Calculate the lowest common multiple of 5 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 5*r - 15. What is the second derivative of -2*q**5 + 9*q**r - 9*q + 2*q**5 wrt q?\nAnswer: 180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 630?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*-0.57\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 5*y**2 + y - 1. Let k(a) = 5*a**3 - 30*a**2 + 87*a - 2. Give k(w) - 6*z(w).\nAnswer: -w**3 + 81*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a**3 + 131*a**2 + 549*a - 171. Calculate n(-21).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -137*i**4\/4 - 104*i + 196. Differentiate w(t) with respect to t.\nAnswer: -411*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 290b92 (base 16) to base 2.\nAnswer: 1010010000101110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 10786857.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -5. Let c = 8 - s. Let h = 1.12 + -1.62. What is the second biggest value in h, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 14\/98307 and -73\/53622.\nAnswer: 589842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 423\nAnswer: -4\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2282772 is divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/102181512 and -45\/11?\nAnswer: 1123996632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 984\/(-982) + 1\/1. Let d = 31912\/1473 - m. What is the common denominator of d and 29\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l**2 + l**2 + 6*l**2 + 3*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 4) + (1 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9810 and 720.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4669 - 6218 = -150*g + 723*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w**3 - 7*w**2 + 9. Let k(d) = -4*d**3 - 3 + 7*d**2 - 3*d**2 + 6*d**3 - 2. Give 7*k(n) + 4*l(n).\nAnswer: 2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 286 - 285. Let c = w + 2. Factor 0 - 2*a**c - 18\/7*a - 30\/7*a**2 - 2\/7*a**4.\nAnswer: -2*a*(a + 1)*(a + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*1*3*(-2)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of 27*d**5\/20 - d**4\/6 + 25*d**2\/2 + 24*d. What is the third derivative of y(s) wrt s?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {l: 1, u: 4, m: 3, c: 1, n: 6, s: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -307, -308, -309, -310?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -121, 0, -32 in ascending order.\nAnswer: -121, -32, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87895?\nAnswer: 5, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (84045\/39 + (-1)\/(-3))\/((-11)\/(-198)).\nAnswer: 2, 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -4180  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.14 + 5.34. Which is the biggest value?  (a) -0.066  (b) v  (c) 2\/9  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*y**2\/2 - 2648993*y\/4 + 154525.\nAnswer: -(y + 88300)*(30*y - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -698 - -698. Let d = 0.187 - -3.533. Let u = 0.28 + d. Which is the closest to 0.06?  (a) f  (b) u  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 2)*(-6 - 4 + 0)*(-2*u + 14*u - 6*u - 12).\nAnswer: -180*u + 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/15 - 12\/(-5). Suppose 3*l - 3*g = 9, -7 = 2*l + r*g - 21. Suppose -d + 12 + l = 0. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22280 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 + 100 = -3*f. Suppose -f*j = -8 - 8. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.248 * -0.5.\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1101.81 + 26.81. Let j = o - -1075.0441. Let l = j - 0.05. Round l to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3\/7 + 27*v**2\/7 + 9*v + 33\/7.\nAnswer: -3*(v - 11)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 376729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*m - 210 = 222. Suppose 9*s + m = -27. Sort -2, s, 2, -31.\nAnswer: -31, s, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-10 + 8)*756\/(-8) and 63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i + 11. Determine q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.94 - 0.16. Let t = g - -0.1. Let o = t - -0.7. What is the nearest to -0.1 in o, -1, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d. Let z(v) = 85256713*v**2. What is z(f(o))?\nAnswer: 341026852*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of 0 - 3\/2*k**2 - 1\/10*k**5 - 1\/4*k**4 - 2*k - 1\/2*k**3. Let y be p(-2). Solve 4*o = y + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57300 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -0.01, 0, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/3645659 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) 2\/13  (b) 1  (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000243404089 to 7 decimal places.\nAnswer: 0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.389 + 0.011. Let i = 2 - 1.97. Let u = i + 3.97. Sort u, n, 0.1.\nAnswer: 0.1, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 11*w - 3. Let q(n) = 11 - 11*n + 24*n - 3 - 18*n - 7. Suppose 4*a = -3*c + 11, c - 4*a = 6*c - 21. Determine c*q(b) + 2*z(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 3 + (-15)\/3. Let l be 2 + (2*-2)\/2. Suppose 4*y - 2*y + 8 = l. Which is bigger: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -363597\/7 + 52440. Let d = i - 497. Factor 0*m**4 - 8\/7*m**3 + 6\/7*m + d + 2\/7*m**5 - 4\/7*m**2.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 21*j - 330. What is the remainder when 136 is divided by k(19)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of h**6\/30 - 3*h**5\/5 + 6*h**3 - 585*h**2. Let b(g) = -g**2 + 1. Give -144*b(t) + 4*d(t).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -411789*n**3 + 205871*n**3 + 205912*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-28164208437951)\/4853351790 - (-4)\/10. Let k = m + -1\/23111199. Let x = k + 5805. Find the common denominator of 65\/22 and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 15382, 15384, 15386?\n\"Answer: 2*i + 15380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - z = 3*z - 7, -2*z + 5 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -22*s + 215. Let q be v(0). Let i = q + -212. Sort -0.3, i, 0, -4 in ascending order.\nAnswer: -4, -0.3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-2*sqrt(91) - sqrt(91) - sqrt(91)))\/sqrt(7).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {n: 6, h: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-6)\/b)\/b**(1\/7))**20 assuming b is positive.\nAnswer: b**(-1000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 3*b + 4*y, 10*b - 23 = -y + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2273771214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 12 - 15. Let l be 20625\/r*(-1 - -481). Round l to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 24*(-1)\/((-8)\/10). What is the greatest common divisor of 150 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/2 - (4 - 0). Is 2 a factor of (15\/6 - 3)*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 671 (base 14) to base 11\nAnswer: a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*z**2 - 31*z**2 + 27*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.0914015 + 37339?\nAnswer: 37335.9085985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 10:14 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 11377730 rounded to the nearest 100000?\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pk when two letters picked without replacement from fppfopk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3573801 (base 10) to base 2.\nAnswer: -1101101000100000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1124968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 380525.\nAnswer: 5, 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4832084732 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 - 1\/((-6)\/18). Suppose 2*g - 7 = -3*t, -l + 9 = t - 4*g. Solve 3*r = -5*p + 10, t*r = -2*r + 25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46234 = 2*p - x, 135804 = 4*p - 4*x + 43328. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -31 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 799*x**2 - 1816*x**2 + 896*x**2.\nAnswer: -121*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 232 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/113928 and -119\/23700.\nAnswer: 225007800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4521 is divided by 458?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 4*f = -26, -82*w - 2*f - 12 = -80*w. Solve -w - 14 = 15*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-33) + 42\/11. Let a be (-3)\/(-36) - v\/(-16). Let d = 719 - 720. What is the nearest to -2 in d, a, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1038269 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.02008 rounded to one decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of -d**6\/180 - d**3\/2 - 3*d. Let r(k) be the second derivative of p(k). Let z(j) = j**2. What is z(r(q))?\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6367.432ng to micrograms.\nAnswer: 6.367432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of 1\/2*s**4 + 4*s + 1\/720*s**6 + 0*s**2 + 0 - 1\/60*s**5 + 0*s**3. Let v(b) be the third derivative of c(b). What is v(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**3 - 93*w**2 - 791*w + 489. Give q(-35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 6) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10603347.\nAnswer: 3, 3534449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jcc when three letters picked without replacement from jcc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, j: 8, h: 1, k: 7}. What is prob of sequence jkhk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 526*q + 4115 + 2695 = 498 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - -1. Let n = 60 - s. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 10, j: 2}. Give prob of sequence aaj.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -46. Suppose -r + s = -36. Suppose 0*b = 2*b - r. Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24\/5 - 1\/5*h**2 - h.\nAnswer: -(h - 3)*(h + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40 + -29. Let y = 10.845 - w. What is y rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 193, 233, 0, 1, -1, 4 in increasing order.\nAnswer: -1, 0, 1, 4, 193, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**4\/3 - 4280*l**3\/9 - 8*l**2 + 17152*l\/3 - 68480\/9 = 0 for l.\nAnswer: -4, 2, 2140\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 - -0.2. Let p = 0.2 - 0.6. Let y = -17 - -21. Sort p, y, l in ascending order.\nAnswer: p, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 4:09 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 84 + -84. Let l = -9.976 + -0.024. Let t = l + 11. Which is the closest to 0.3?  (a) t  (b) 2\/5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 7849013860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 173.8575 and 4.\nAnswer: 695.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 195.53 and -1961?\nAnswer: 2156.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 14196132.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*o = -20. Let y(c) = 0 + 2 + 4*c + 3*c**2 + o*c**2. Let w(z) = -z**2 - z. Suppose -15 = s - 4*s. Calculate s*w(m) + y(m).\nAnswer: 2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -415 divided by -2\nAnswer: 415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.5 + 3. Let m = i - 6. What is the smallest value in 0, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z and 1 s when four letters picked without replacement from {o: 6, s: 2, z: 10}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 132504962489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107581756?\nAnswer: 2, 71, 378809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -195*-6\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 2*z. Let q = 4 - 2. Suppose 613*g - 48 = 607*g. Let p(v) = -g*v**2 - 16*v**2 + 42*v**q. Calculate i(p(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5649 less than -1\/1027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 5*j - 70 = -235, -5*f + 3*j + 155 = 0. What are the prime factors of (-8)\/f + (-79)\/(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/2 + 792039*f - 627325777521\/2.\nAnswer: -(f - 792039)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/9561667 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from omwm. Give prob of sequence mowm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/w**9*w))**(-35)*w**20*w**(-1\/21)\/w assuming w is positive.\nAnswer: w**(-5482\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4*i - 24. Let y be f(6). Let s = 48 + y. Suppose 2*u - 18 = -3*l, 1 = -u - s*l + l. Solve 0 = u*o + 4*w - 6, -3*w + 17 = o - 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -60, -77, -120, -201, -332, -525, -792, -1145?\n\"Answer: -2*a**3 - a**2 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 10*v = m + 21, 0 = -3*m - 15. Let h(b) = -b**2 + 14*b + 8. Let w be h(v). What is the highest common divisor of w and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in five quarters of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 11*t**2 - 8*t - 20. Let r be b(10). Suppose -2*l + 3*l - 32 = r. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -109734 + 109850. Let l(o) = 2*o + 4*o - 3 - 3. What is the remainder when n is divided by l(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - 20*q**2 + 88*q + 17. Calculate v(9).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 208653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v - 2. Let s(h) = -3*h - 7 + 2*h + 6. Give -2*s(o) + x(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3072 = -16*c + 1216. What are the prime factors of c?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + -5)*(-3)\/9. Let i be (-1)\/(-2) + 3\/y. Find the second derivative of -h**4 - 3*h**4 + 0*h**4 - i*h wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 49, 885 in increasing order.\nAnswer: -18, 49, 885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 16ac + -1c34?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*f + 804, -127*b + 126 = -129*b - 2*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1\/170, -2\/13 in descending order.\nAnswer: 1\/170, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**2. Let m(i) = 49*i + 1. Give x(m(n)).\nAnswer: -4802*n**2 - 196*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 345281653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {a: 2, h: 5, o: 3, d: 2, z: 1, y: 4}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3861362*g**4 - 4746373 wrt g.\nAnswer: 15445448*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/120296 and -33\/32?\nAnswer: 481184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10*95 - (-5 - 0). Suppose 2*h + 161 = l. What are the prime factors of h?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -2*h + 4*f - 18, -2*f = 4*h - 14. Suppose c - 33 = -h*c. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t + 4 = 6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1558500 and -1.43?\nAnswer: -2228655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + (sqrt(363) - sqrt(363)*2)**2 + (sqrt(12)\/sqrt(4)*-2)**2 + (sqrt(84)\/sqrt(4) + sqrt(21))\/sqrt(7) + (sqrt(120)\/sqrt(5))\/sqrt(8) + 0.\nAnswer: 4*sqrt(3) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w**3 + 11*w**3 + 32*w**3 + 82900*w**2 - 82900*w**2.\nAnswer: 38*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - 100010101?\nAnswer: -100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 3208812 to the nearest one thousand.\nAnswer: 3209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -695*l + 628 + 2114 - 657 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 6*k + 5. Let i(o) = 13 + 5*o - 14 - 2*o - 4*o. Determine -10*i(t) - 2*y(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 21. Suppose i*m = 13*m + 15. Let o be m + -20 + 2*7. What is the highest common factor of o and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6*k**2. Let b(j) = -1067*j + 5. Determine n(b(v)).\nAnswer: 6830934*v**2 - 64020*v + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -84 - -89. Which is greater: k or -2\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5905, -11743, -17583, -23425?\nAnswer: -29269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3723871 and 409.\nAnswer: -1523063239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -7*t**2 + 8*t - 3. Suppose 0 = -16*f + 14*f + s - 18, 0 = f + s. Let c(x) = 6*x**2 - 7*x + 2. Determine f*c(d) - 5*h(d).\nAnswer: -d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w - 10. Let v be t(-11). Let o be 3 - (-3 + 9) - v. Let q = 0.99 - 0.89. Which is the nearest to q?  (a) o  (b) 5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of -l**4\/24 - l**3\/3 - l**2. Let i = 8 - 14. Let j be b(i). Let t(d) = -d**3 + 4*d**2 + d. Determine t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/((c\/(c\/c**1))\/c*c))\/c*c)**(-3\/7) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 85949375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 6*d**2 + 5. Let c be r(6). Let t = c + -2. Let h(p) = p. What is the remainder when 8 is divided by h(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00531 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, f: 8}. What is prob of picking 2 l?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 8:11 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i**2 - 764*i = 0. Calculate i.\nAnswer: 0, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -154 in -0.5, -0.1, 2\/5, -1, 1\/4, 2459?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 19 + 16. Suppose 0 = -0*v - 10*v + 320. Suppose -v*g + 1148 = -420. Calculate the greatest common divisor of g and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 33.659 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1067, -1064, -1061, -1058, -1055?\n\"Answer: 3*p - 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 296, 556, 798, 1016, 1204, 1356, 1466?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v**2 - 6*v - 10. Let n be o(-5). Let f be (-10)\/n + (-10)\/18. Let q be ((-2)\/4)\/((-1)\/(-3)). Which is the biggest value?  (a) q  (b) f  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**5\/11 - 378*i**4\/11 - 1865*i**3\/11 = 0.\nAnswer: -373, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -95.52 to the nearest integer.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 + -39. List the prime factors of y*((-6)\/3)\/1.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, x: 9}. Give prob of picking 4 x.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 19128 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7 - -318?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 5*f - f)*(4*f - 4*f - 2*f**2)*(-16 + 31 + 33).\nAnswer: -192*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (10 + 8 + -3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 205, -2\/13, 0, -1553, -0.2?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67865 = 3*y - 32*o - 67807, o = -5*y + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 180473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 1149 = t, 4566 = -15*t + 19*t - 5*w. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 635 = -2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + 63. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by -2661\nAnswer: -13\/2661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/1068, 18, 2, -0.08?\nAnswer: 1\/1068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/54 + (12*414\/243 - 12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/2*0*(9 - 10). Solve -u + l = -j*l + 5, 4*u + 14 = 2*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 150 and 22018890?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 200111 (base 3) in base 15?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151*z + 2589 = 1772 - 5463 - 968 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 115, 259, 449, 679, 943?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -28260, -2\/207, 4, 5, 1?\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*z + 5*z - 3*z - z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -12\/59?\nAnswer: -12\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 0.7, 9\/4, -5 in decreasing order.\nAnswer: 9\/4, 0.7, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 5*m**2 - 4*m - 2. Let z be r(-4). Is z\/(-10) - (-328)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 5466979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*q + 23*q + 0*q + 4*q to u + i*q and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - ((5 - -1) + -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 35 and 91735.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from ppppsspsdkskp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6205.274 litres to millilitres.\nAnswer: 6205274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 208726 divided by -6139\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*l - 618 = 37*l. List the prime factors of l.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of 0*o**4 - 3\/4*o**5 + 0*o - o**3 - 44 - 16*o**2. Let b(r) be the second derivative of a(r). Differentiate b(g) wrt g.\nAnswer: -90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 10*n - 19 + 19*n + 17 + 11*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78021293.\nAnswer: 7, 11145899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12667\/21505 + 1\/1265. Let g = -13\/51 - d. Suppose 0 = 3*m - 5 + 5. Which is bigger: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3 = -3*p - 0*p, -3*p - 3 = -4*s. Suppose 4*o - 2*c = 552, -s*o + 5*c = -o - 284. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -34 + 37.8. Let h = f - 0.8. Let r = 5.1278 + -0.1278. Which is the nearest to r?  (a) 0.1  (b) h  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -47 + 48. Suppose 5 = -4*f - 5*k, l = 5*f - k - 0. Suppose 0 = -4*a, -4*q - 5*a + 10*a + 240 = f. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 763, 757, 751, 745, 739, 733?\n\"Answer: -6*k + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 + a. Let p be z(-2). Let i be (590\/(-45) - -13)*-27. Solve p*q - 11 = -i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 73\/5*m + 1\/5*m**2 + 0 = 0. What is m?\nAnswer: -73, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((12 - -3)\/(2\/(-1)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10295 divided by 29\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3703 plus -710472?\nAnswer: -714175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - n. Let h(s) = -7*s**2 - 12*s + 2. Let r(v) = -h(v) + 6*t(v). Let a be r(-7). Suppose a = -0*q + q. Let b(z) = z**2 - 6*z + 6. Determine b(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 - 1056812*o**3 + 2 - 3*o**2 - 2*o.\nAnswer: -1056812*o**3 - 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 + 2*i - 3)*(0 + 1 + 5) + 5*i - 4*i - 2*i)*(-i - i - 1 + 0) to y*i**2 + c + m*i and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**5 + 24339*j**4 + 97395*j**3 + 73065*j**2 - 97392*j - 97404 = 0. Calculate j.\nAnswer: -2, -1, 1, 8117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 102.328 and 21.\nAnswer: 2148.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34095?\nAnswer: 3, 5, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12373\/1380 + 149\/15. Let w = x - 5\/23. Factor w*y + 3\/4*y**2 - 3\/4*y**4 - 3\/4*y**3 + 0.\nAnswer: -3*y*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - k = -0*c - 2, -k = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -176.09 rounded to zero decimal places?\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3782 + 3341. Let c be u\/34 - (-2 - (-3)\/2). Suppose -222 = -3*x + c. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-22)\/(-33) + 151\/3. Suppose 17*i - z = 51. Let g = -1 + 2. Put 5, i, g in increasing order.\nAnswer: g, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177 = -3*b + 27. Suppose -3*s = 2*s - d - b, -3*s - 5*d = -24. What is the remainder when s is divided by (10\/(-4))\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -90 at most as big as -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 5*n + 5*h, 5*h = 74 - 64 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, u: 1, h: 1, x: 2}. Give prob of sequence jxh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 57067 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 166802173309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (255 - 6*u - 255)*(0 + 3*u + 0)*(-1 - 2 + 2) to h + c*u**2 + k*u and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*v**4 - v**4 - 3*v**4)*((1 - v - 1)*(4 - 2 + 0) + 2*v - 3*v + 2*v - 18*v + 100*v - 53*v).\nAnswer: 84*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 16*w + 108. Let f be n(21). What is the second biggest value in f, -1.6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 - 12*x**2 + 12. What is the least common multiple of 12 and y(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 24 = 3*f, -2*f - 2 = 3*c - 12. Let m = 7 - 3. What is the least common multiple of m and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1071)\/(-440) + 6\/30. Let r = -29\/40 + o. Calculate the common denominator of -51\/8 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4*v = 6, -3*f = -2*v + 5*v + 45. Let n = f + 8. Which is the second smallest value?  (a) -1  (b) 0.1  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129 - 129 - 3*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62859821?\nAnswer: 47, 1337443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 1:08 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 21\/(-14)*4\/(-3). Suppose -x*p = 10 + 10. Let i = p + 75. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/6, -3, -4\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/(-7))\/((-232)\/56 + 4). Let o be (-6)\/(-16)*((-252)\/27)\/(-7). What is the closest to 1\/24 in p, o, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18 + -24)*(-2)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - 5*l**2 + 9*l + 15. Let n(o) = o**3 + 5*o**2 + 7*o - 3. Let p be n(-3). Determine f(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 4*k + 10, -2*s + 2*k = -4. Let b(y) = -7*y - 1 + 4*y - y**3 + 0*y**2 + 3 - 4*y**s. Calculate b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 3*x. Suppose 4*d + 28 = 6*d. Suppose -3*j + 14 = -x*j - m, 4*m - d = -2*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 325 - (10 + (-7 - 6\/(-3))). Let h(x) = -77*x + 773. Let t be h(9). What is the greatest common divisor of t and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15290, 30611, 45932, 61253, 76574, 91895?\nAnswer: 107216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9571 + 18269. What is the thousands digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -19*(257708\/(-6800))\/(-11). Let z = j - -1606\/25. Calculate the common denominator of z and -67\/18.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 3107 = -4*y + y, 2*f + 5179 = 5*y. Suppose 0 = -5*x - 220 + y. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 341164274 is divided by 5623.\nAnswer: 5618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2492.6928 months in years?\nAnswer: 207.7244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/120 and -61\/2488810.\nAnswer: 29865720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2937*y + 14866*y**2 + 484*y - 14889*y**2 + 41*y**3 + 1670*y wrt y.\nAnswer: 246*y - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.24 and -0.308.\nAnswer: 0.07392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 215 - 212. Suppose -2*x = a*y - 17, 36 = 4*x + 6*y - 2*y. Solve 5*v - x = 0, 0 = 2*g - 7*g + v + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in fourty-two fifths of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -17, -5, 2\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2446 + 2474 - 7393 + 5*o**2 + 2473.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*q**4 + 16*q**2 + 32\/3*q + 6*q**3 + 0.\nAnswer: 2*q*(q + 1)*(q + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/701460 and -4\/2981205.\nAnswer: 11924820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 8*a + 7. Give j(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 185\/798 and -71\/270750.\nAnswer: 1895250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of -37*n**4\/12 + 13*n**3\/2 - n**2 - 230*n. Determine v so that f(v) = 0.\nAnswer: 2\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3\/7, 0.9, -3, 1\/6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 427 - 37*b - 16*b**3 - 33*b + 70*b - 428 + 3*b**3.\nAnswer: -13*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 179 by -1089.\nAnswer: -179\/1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1710*u - 87243 = -47*u - 2430 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of z**8\/168 - 4*z**7\/105 + z**6\/20 + 166*z**2. Factor q(t).\nAnswer: 2*t**3*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((184\/(-322))\/(55\/(-7)))\/2. Which is the biggest value?  (a) -0.2  (b) 0.2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 978 - -242.\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 14*v**2 + 13*v + 3. Let b be t(13). Let m = 53 + -33. Suppose f + 56 = 5*u, -3*f = -3*u + f + m. Solve q - u = -b*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18686, -74841, -168426, -299435, -467862, -673701?\nAnswer: -916946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sviss. Give prob of picking 2 s and 1 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 + 17. Let s = -0.2 + 0.2. Let l = s + k. Which is the nearest to l?  (a) 3  (b) 0.5  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k. Let c(w) = 28*w - 4. Let n(a) = -a. Let f(v) = -20*v + 2. Let b(s) = -f(s) + 5*n(s). Let d(q) = 13*b(q) - 6*c(q). Determine d(r(x)).\nAnswer: -27*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/4*6\/9. Let r(d) = -d**3 + 2*d**2 - 1. Let x be r(l). Suppose -o + 72 = x*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 1 + ((sqrt(208) + 1)*-2 + (sqrt(208) - (2*sqrt(208) + 4)) - 6*(sqrt(208) - (sqrt(208) + 1))*-4))**2.\nAnswer: 792*sqrt(13) + 2961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*n + 3*n - 6 + 4 + 81*n + 39*n.\nAnswer: 134*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -573513492*s**4 + 287125238*s**2.\nAnswer: -13764323808*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-7) + 612\/84. Let h(s) = 0*s**2 + n*s - 5*s**2 - 12 - 6*s**2. Let y be h(9). What is y rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 925380218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of p**5\/100 + p**4\/60 - 6*p. Find v such that j(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 149.\nAnswer: -4, 2, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.05 + 14.95. Let g = r - 16.8. Let t = -2 - g. Which is the closest to 2\/7?  (a) -1  (b) 3\/2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 22 = -2*j, -4 = -2*j - 2*p - 0*p. Let c(g) = -2*g - 10. Let r be c(-7). Sort j, r, 1 in decreasing order.\nAnswer: j, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2567990*d**2 - 2568014*d - 24.\nAnswer: -2*(d + 1)*(1283995*d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154850 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*o**3 - 13*o**3 - 38*o**3 - 11*o**3.\nAnswer: -185*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 957, -1, -19 in increasing order.\nAnswer: -19, -1, 4, 957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -b**2*r**2 - 3*b**2*r - 31272*b**2 - 5*b*r + 14*r wrt r?\nAnswer: -2*b**2*r - 3*b**2 - 5*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*q**5 - 831*q**3 + 18452*q.\nAnswer: 240*q**3 - 4986*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 2:15 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1722 - 516. Suppose 426 = -5*i - d - 777, -r = 5*i + 2*d. Does 12 divide (-1)\/(5\/2)*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-2)*(-19719)\/(-3942). Let m = i + -18\/73. What is the common denominator of -73\/9 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0772209582 rounded to four decimal places?\nAnswer: -0.0772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*b - 4*n, -n = -2*b - 0*n + 10. Suppose 28 = 5*u - 4*w, -b*w + 4*w = 2*u - 10. Solve 3*o - 6 = 0, 6*x = 3*x + u*o - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 - 66*z + 918. Calculate the remainder when l(54) is divided by (-2 + 4)*1 - -37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3*l + 2*l - 4 = 0, -20 = 5*s + l. Let f be 1 + 2 - 208\/s. Calculate the highest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100101101010 + 10?\nAnswer: 1100101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffmffmf.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = z + a, 18 + 10 = -4*z + 4*a. What is the closest to 1\/3 in z, 1\/2, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 5*x - 2 + 4 - 9*x as g + q*x and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 620000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 5*s = -3*l + 25, 5*l = s + 43. Let c be l + (10 - 9) - (4 - -1). Solve 2\/3*f - 4\/3*f**5 - 3*f**c + 2\/3*f**3 + 3*f**2 + 0 = 0.\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 6 = -3*r, -4*l - 2*r = -4*r - 14. Let v(h) = h**2 + 4. What is v(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 3*s - 1. Let g be x(3). Let a be g*7*(1 + -2). What is the units digit of a + (-5 - (-3 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -1, 21.\nAnswer: -8, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/42 - -1 - (-8)\/56.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 19, -58, -281, -722, -1453, -2546, -4073?\n\"Answer: -12*d**3 - d**2 + 10*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1636078525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, d: 14}. Give prob of sequence zzdz.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -99 - 53a4?\nAnswer: -5470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - 2186*h + 935209. Calculate y(584).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1893\/7 + -49785\/182. Let h = -18\/13 + r. What is the closest to h in 3, 2\/3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 9*i + 710 = 0. Let f be (9 - 16)\/((-2)\/i). Suppose -q = 78 - f. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 241 (base 5) in base 3?\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 258*d**5 - 2*d**3 + 180*d**2 - 6*d wrt d?\nAnswer: 15480*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 + 268 = -d. What is the lowest common multiple of 183 and (-2 + (-3)\/(-2))\/(13\/d)?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3948 or 4425?\nAnswer: 4425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (135\/(288\/(-32)))\/((-18)\/(-27)*2\/4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11.2, -0.3, -0.4, 13, 2\/5.\nAnswer: -0.4, -0.3, 2\/5, 11.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-792)\/(-24))\/924*20?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -3\/5, -0.092, 1\/3, 5\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -313 (base 6) to base 14.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/(-4) + (19 - 16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 229 and -145555.4.\nAnswer: -33332186.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/7)\/i*i)**18\/(i*i\/(i\/(i**(1\/9)\/i))*i\/i**3) assuming i is positive.\nAnswer: i**(443\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -7*b - 2. Let k(g) = -g**2 + 2. Let a be k(-2). Let t be x(a). Suppose 0*c = 2*c - t. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/28900 and 47\/1530.\nAnswer: 260100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 24319\/5 at least 4864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -2\/7, -0.11, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 12*p**2 - 23*p - 5. Let m(y) = y**2 - y. Let d(z) = -18*m(z) + 2*n(z). Is 22 a factor of d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 404\/3 - 135. Suppose h - 3 = -2*h. Which is smaller: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 + 1 - (-21)\/3. Suppose 0 = -5*h - s*a + 5, 2*h + 2*h - 4*a = 40. Solve -q = -h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -6*m**3 + 4*m + 4. Let s be v(-3). Let o = 8 - 3. Let f = o + s. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -1. What is the third derivative of -8*g**4 + 13*g**4 + 7*g**5 - 4*g**2 - 5*g**w wrt g?\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16591691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 66046752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 - 5*f**2 + 4*f + 4. Let h be a(-6). Calculate the highest common divisor of h and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -46.6 and 733059067?\nAnswer: 733059113.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 272 and 4.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29\/20 - 107\/140. Let q = 406 + -2844\/7. Let i = u + q. Which is the closest to 0.2?  (a) -2\/5  (b) -4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3860179 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 497 and 518?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 1, 7, 295, -3.\nAnswer: -6, -3, 1, 7, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*i**2 + 312112*i + 69360 = 0 for i.\nAnswer: -2\/9, 8670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z. Let h(k) be the second derivative of -k**6\/720 + k**4\/4 - 3*k. Let x(u) be the third derivative of h(u). Determine x(n(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/1139520 and 61\/75968?\nAnswer: 1139520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 621 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 6, g: 2, w: 4}. What is prob of picking 1 n and 1 w?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1612251144 - 1144611144. Suppose -31*t + 37*t + y = 0. What is t rounded to the nearest one million?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.00277 - -0.00277. Which is the closest to -59?  (a) i  (b) -0.4  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggvgvtvgvgvgvttttgv. Give prob of sequence vvgg.\nAnswer: 49\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*l + 274 = -1086 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 2*x - k, -3*x = 45*k - 47*k + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c + 0*c - c)*(70 - 15 - 4 + 34) - 4*c + 2*c + c.\nAnswer: 339*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and -1632.8306?\nAnswer: -1632.8306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 536*j - 6 = 538*j, 4*h + 12*j = -56 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, f: 7, q: 1, u: 2, j: 1, y: 1}. What is prob of picking 1 f and 2 n?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36800 and 3472.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - w - 12, -3 = -2*z - 3*w + 2*w. Suppose z*x + 4*o = 5*o + 10, 0 = -2*o - 2. Differentiate 0*r + x - 16*r**2 + 0*r + 4 wrt r.\nAnswer: -32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 865, 1504, 2179, 2890, 3637, 4420, 5239?\nAnswer: 6094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -548 + 534. Let q(p) = -7*p**3 - 57 + 29 + 14*p**2 + 42. Let c(v) = v**3 - v**2 - 1. Determine o*c(t) - q(t).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 4\/((-80)\/(-75))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (-4)\/32*184.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 2 + 2 + -4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.642 minus -8?\nAnswer: 7.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/3)\/((-4)\/(-6)). Let q be ((a - 32)\/3)\/(-2). Let t(m) = -20*m + 141. Let k be t(6). Solve k = -q*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**3 + o**2 - 4*o + 5. Let v be k(2). Factor -15*b**4 - 17*b + 12*b**5 + v*b + 10*b**3 - 7*b**5.\nAnswer: 5*b**3*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 m when three letters picked without replacement from {e: 8, m: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/33*71\/(2556\/54).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1650059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -972 (base 13) in base 8?\nAnswer: -3116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -29*q. Let f(j) = 2*j**2 + 11*j. Calculate f(m(o)).\nAnswer: 1682*o**2 - 319*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.56 - -0.15. Let g = -0.37 - o. What is the third biggest value in g, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-120)\/(-9))\/(-4)*(-10)\/(350\/(-63)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 284816579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 - 17*m + 25. Let k be 5\/50 + (-1639)\/(-110). What is s(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1047, 1320, 1593, 1866, 2139, 2412?\n\"Answer: 273*x + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (2 - -1) + -23 + -62 + 107\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -5*s - 2*y + 54, -3*s - 5*y + 22 = 0. Let h = -4 + s. Let c = -1 - -5. What is the third biggest value in h, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -3.94. Let m = i + -0.06125. What is m rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of 3*j + 1\/2*j**3 + 0 + 1\/2*j**2. Is w(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 330933018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8481 and 12064.\nAnswer: 20545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 8*f**2 + 27. Let u(i) = -i**2 + 24*i. What is u(x(v))?\nAnswer: -64*v**4 - 240*v**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12176848, 24353690, 36530532, 48707374, 60884216, 73061058?\n\"Answer: 12176842*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddddddddcdcddddcdd. What is prob of picking 1 d and 3 c?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 10*q - 53. Determine d(15).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 - 23*a. Let u be k(-23). Suppose 2*n - 14 = -u*n. Suppose 9*j + 30 = 4*r + 4*j, -r + j = -n. Solve h = r*w + 17, 5*w + 12 = 4*h - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4796080 divided by 44?\nAnswer: -1199020\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*x**4 - 12*x**4 + 5*x**4)*(4*x + 3 - 3).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 4949 - 7*v**3 - 9895 - v - 3*v**2 + 4949. Let t(w) = 6*w**3 + 3*w**2 + 2*w - 4. Calculate -2*t(a) - 3*x(a).\nAnswer: 9*a**3 + 3*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -2, -3, 0.08374, -0.4 in ascending order.\nAnswer: -3, -2, -0.4, -1\/4, 0.08374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 235193909*s**3 + 3*s**2 - 70278827 wrt s?\nAnswer: 1411163454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 218 = -4*f + 54, -5*f = -2*a - 331. Solve -2*c + f - 61 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (44\/((-352)\/36))\/((-3)\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + n = -33439, -b + 0*b = -4*n - 8356. Round b to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 5, c: 1, x: 3, r: 2, f: 7}. What is prob of picking 1 r and 3 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*p + 36*p = -5*t - 13, 247 = -2*t + 19*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**3 + i**2 + 2*i + 1. Calculate m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12633)\/(-11) - 102\/(-187). Suppose 0 = -24*p + 939 + y. What is the greatest common factor of p and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*g**6 + 12400*g**5 + 3*g**4 + 522214*g**2 + 59*g?\nAnswer: 1920*g**3 + 744000*g**2 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 307005853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.1, -3.49, -2\/39.\nAnswer: -3.49, -2.1, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 9:07 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -228 - -224. Let k = -196 - -200. Which is the third biggest value?  (a) -5\/7  (b) k  (c) w  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 13*a**3 - 11*a**2 - 4*a - 8. Let h(y) = 15*y**3 - 12*y**2 - 4*y - 8. Let t(b) = -6*h(b) + 7*j(b). Give t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + 3.2. Let p = m - 6. Let k = 3\/2 - 13\/6. What is the closest to k in p, 4\/5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(118 + (-58444)\/494).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 1 = -f + 13, o - 22 = -5*f. Let l be ((-10)\/(-15))\/(o\/15). Find the common denominator of -3 + l + (-26)\/(-22) and 16\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence et when two letters picked without replacement from tetruul?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18050 - -16276.6. Round g to the nearest 10.\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52045759 divided by -4?\nAnswer: -52045759\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -202 (base 9) in base 11?\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -8. Let j = -13\/44 + 1\/22. Which is the second biggest value?  (a) j  (b) p  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1977)\/21088)\/(1\/4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1128261, 4513785, 10156323, 18055875, 28212441, 40626021, 55296615?\n\"Answer: 1128507*l**2 + 3*l - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 - 0. Let f(l) = 3*l + 42. Let p be f(c). Solve p = -m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -0*s + 66. Calculate the smallest common multiple of s and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 640\/63 + -94\/9. Which is the closest to -1?  (a) -4  (b) 3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 58885869 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + -143d02?\nAnswer: -143d04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 241780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 143 and 1573?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 461383441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -79, -2, -911856.\nAnswer: -911856, -79, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -21 - 10*v + 21 in the form d + t*v and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 3, d: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 2*s = 17, 2*q - 4*s = -8*s - 6. Let i(z) = 3*z**2 + 4*z + 8. Let j(k) = 3*k**2 + 5*k + 9. Determine q*i(p) + 4*j(p).\nAnswer: -3*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -7*x - 2. Let z be m(6). Find the common denominator of 1*53*2\/z and 3\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(180) + -3 + (1*sqrt(180) + -4 - sqrt(180)) + sqrt(180) + -4 + sqrt(180) + sqrt(180)*2 + -4*(sqrt(180) + 1 - sqrt(180)))**2*-5 + -4.\nAnswer: -33529 + 5400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(-1\/3))\/(f\/((f*f**(1\/9))\/f)))\/(f*f**(-2)*f**(-1)))\/(f**4\/(f**(1\/2)*f)*(f*(f**(2\/3)*f)\/f)**27) assuming f is positive.\nAnswer: f**(-823\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 6*l - 16. Let u(q) = -7*q + 9. Let d(p) = -6*p + 8. Let k(x) = 6*d(x) - 5*u(x). Let f(w) = 33*k(w) + 6*r(w). Suppose 2*n + 36 = 14*n. What is f(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*s = 24*s - 6. Suppose -2*i - s*c + 10 = 0, 2 + 6 = 2*c. Put 5, i, -4 in decreasing order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -445 (base 6) to base 11\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-2)*(-12)\/36*24\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5062\/63 + -10789223\/134316. What is the common denominator of h and -95\/656?\nAnswer: 8528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -437 - 175. Let m = -4287\/7 - w. Put m, 13, -4 in ascending order.\nAnswer: -4, m, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/22863276 and 17\/18348.\nAnswer: 251496036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, j: 12, i: 3}. Give prob of picking 2 i and 1 j.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of v**4\/12 + 7*v**2\/2 + 8*v. Let f(z) be the first derivative of s(z). Let w(h) = 3*h. Calculate w(f(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 6*g**2 + 5*g - 9. Let c be s(-7). Suppose c*x - 750 = u, 0 = 5*x - u + 5*u - 725. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-324 - 2)*(-1)\/2. Let h be 105\/27 + 3*1\/27. Find u, given that d*u**4 + 6*u**2 + 2*u**3 - 2*u + 3 - 7 - 165*u**h = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -2\/7  (b) 4.45  (c) -618\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -32*b + 34*b - 5*p, 0 = -2*b + p. Solve -b*m - 5 = -7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-2 - ((-6 - -5) + 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, x: 4, o: 5, m: 1, h: 1, v: 3}. What is prob of sequence vx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 7 + 10)*(0*v + v - 2*v) as a*v + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -65568 + 65564. Let r(i) be the third derivative of i**5\/60 + 5*i**4\/24 - i**3\/3 + i**2. What is r(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 154374 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + 6*t - 10. Let n(m) = -2*m + 3. Let k(g) = -7*n(g) - 2*z(g). Let j be k(1). Which is the nearest to j?  (a) 3  (b) 1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 19  (b) -1  (c) 3  (d) 5.1  (e) 2  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 69*l + 66*l + 30 = -4*w, 4*w - 2*l = -0*w - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17865 - -30131. Let g = -12266.21964 + b. Let h = g - -0.22. Round h to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -283, 6, -9 in descending order.\nAnswer: 6, 4, -2, -9, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-8)*g*g**(-1))\/((g**7\/g)\/(g**(-2\/9)\/g)) assuming g is positive.\nAnswer: g**(-137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/172674 and 155\/48018.\nAnswer: 26073774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5255 - -134?\nAnswer: -5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((43 + 24 - 32)*(0 + 2 - 4) + 1 - 5 + 3 + 5 - 5 + 1)*(7 - 4*j**2 - 7).\nAnswer: 280*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-24034022.\nAnswer: 96136088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -94, -208, -318, -424, -526, -624?\n\"Answer: 2*g**2 - 120*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/290?  (a) -2\/9  (b) 2  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/6 + -1 - 1\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + k**2 + 2*k + 1. Let t be d(2). Let n = 65676 + -2299088\/35. Let z = 80\/7 + n. Which is the closest to t?  (a) 5  (b) -1\/6  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010110011011101101001110100 + 1?\nAnswer: 10010110011011101101001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (-14 - (3 + -8))) + -1 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-2 - -1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wssc when four letters picked without replacement from ossswcsssswoosc.\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y + 9 + 4*y - 1. Let f be l(8). Suppose -5*w + f = 3*r, -3*r - 3*w = -6*w. Solve r*o - 6 = o + 4*q, 2*o = 2*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -5*c + 8*f - 5*f, 8 = -2*c - 3*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15)\/((-1575)\/(-732)) - -7. Sort 4\/5, a, -1\/4, 2 in increasing order.\nAnswer: -1\/4, a, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3453 + 3457. Which is the fourth smallest value?  (a) 6  (b) 12  (c) -0.5  (d) z  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -10 - 10*k**3 - 25*k**2 - 35*k + 5*k**5 + 10*k**4 + 18*k**2 - 33*k**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (105\/4)\/(125\/(58500\/(-351))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 29*j - 28*j**4 + 58*j**4 - 2 - 28*j**4 in the form s*j**2 + h + b*j**3 + m*j**4 + a*j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/4  (b) 59\/2  (c) 7  (d) -4  (e) -22\/3  (f) -11.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 170.2 * -8152.\nAnswer: -1387470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiviiiiiiiviiiii. Give prob of sequence ivvi.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p\/p**(-2\/9))*p)**14)**(-1\/13)\/(p\/(p\/p**(-4))*p**(-9))**(-7) assuming p is positive.\nAnswer: p**(-10619\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -193*k + 308*k + 309*k - 426*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24944446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-62)\/(-228) - 2\/12. Let l = 4865 - 4864. Which is the fourth smallest value?  (a) g  (b) l  (c) 1\/2  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b (base 13) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 6*s + 17. Let r(z) = -4 - 15*z - 26 - 12. Let b(f) = 12*p(f) + 5*r(f). Let j be b(-1). Let x(h) = h**2 - 2. Determine x(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14 and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 0*g - 20. Suppose 0 = -a - g*l + 14, -8 + 2 = 2*l. Suppose 59 + a = h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5141*f**2*k - 5191*f**2 wrt k?\nAnswer: 5141*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 8*v. Let z(f) = 655*f + 561. Let a(w) = 6*b(w) + z(w). What is the first derivative of a(p) wrt p?\nAnswer: 703","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1021 - 1016. Let p(q) = -12*q**3 - 5*q**2 + 5*q - 5. Let z(a) = -11*a**3 - 4*a**2 + 4*a - 4. Calculate l*z(y) - 4*p(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2158*g - 1653047. Calculate r(-766).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -16.2  (b) -73  (c) 0.2  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4624 is divided by 1152.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -2*t - 3 - 3\/2*t**2. Let r be (-1)\/(1\/3) + -1. Calculate b(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - 2*s. Suppose 4*d - 10 + 56 = -3*u, -d - 3*u - 16 = 0. List the prime factors of w(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -234130 + 2163?\nAnswer: -231745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.9 - 0.1. Let v = 18 + -17. Let z = v + r. Which is the nearest to -1?  (a) -2\/5  (b) 2\/23  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20741*v**5 - 19*v + 17110*v**5 + 96*v**4 - 96*v**4 + 1420*v wrt v?\nAnswer: -72620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2*j + 46. List the prime factors of u(12).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j**2 + 6*j + 5. Let z be a(-3). Suppose s = -4*t + 247, 317 = z*t + s + 3*s. List the prime factors of t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 3:27 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 379 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1803 and 2846336.\nAnswer: 8539008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by (-1 + -4)*((-32)\/10 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**3\/2 - 15*s**2 - 4275*s\/2 + 28880.\nAnswer: 5*(s - 19)**2*(s + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t. Let c(z) be the third derivative of 129*z**4\/2 - 2671*z**2. What is x(c(d))?\nAnswer: 1548*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 less than -257798660098?\nAnswer: -257798660243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 3*p**3 + 4*p**2 + 3*p + 4. Let z be h(-3). Let m = z + 55. What is the smallest value in 4, m, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.99807 times 0.13\nAnswer: -0.9097491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1674 + 1704. Let i be 8\/36 - 68\/(-18). Suppose 6*r - 2*r = -5*a + 65, -i*r = 2*a - 74. What is the highest common divisor of l and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/((-1)\/334*-2). Suppose w - r = -5*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -485e?\nAnswer: 4862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 17. Suppose -j - 3*c = -2*c - 8, 2*c + 2 = 0. Suppose 2*m = j - 5. Solve -2*q - 5*y + 28 = -0*q, y = -m*q + p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4\/7 + 11*q**3\/7 + 19*q**2\/7 + 9*q\/7.\nAnswer: q*(q + 1)**2*(q + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/966 and -17\/805.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -9, -20, -37, -60, -89?\n\"Answer: -3*v**2 - 2*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 54933 + 1623?\nAnswer: 56556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) 207403  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(27\/4) - (-26)\/6. What is the third smallest value in 2\/45, 0, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4193017 is divided by 1337?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 5*k**5 - 6375*k**4 + 25420*k**3 = 0?\nAnswer: 0, 4, 1271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/9*4008\/16. Let a = -83 - n. Find w, given that 1\/2*w**4 + a*w**3 + 1 - 3\/2*w**2 - 1\/2*w = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0287 and 1.761?\nAnswer: 0.0505407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/9504686 and 29\/145586.\nAnswer: 66532802","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25 in -5\/6, 1, 214, -0.2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 74 in -0.31, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1957\/4 - -1951\/4. Which is smaller: x or -31.5?\nAnswer: -31.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 63 + -35. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 10 = 0, u = 4*p - 34 - 8. Let x = 164 + -151. Suppose x*h = -13*h + 156. What is the remainder when p is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -4*g + 65, 3*g = 3*y + 21 + 27. Suppose -4*t = 16, 3*h + 0*t = 4*t + 22. List the prime factors of (3\/h)\/(g\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 112 + -1. Let l = 109 - u. Let j be 2 - 2 - (-3)\/5. What is the closest to -1\/4 in j, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -62, 0, 5, 4, -2, -1.\nAnswer: -62, -2, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13048773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -3366  (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 16) to base 14\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 145416 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2, -10, -2, 4 in descending order.\nAnswer: 4, 2, -2, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -70, 0 in ascending order.\nAnswer: -70, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78299 is divided by 715?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of 35 - 1\/2*h**2 - 8*h. What is a(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 928070 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/21*3\/(-6*1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -6*u**3 - 6*u**2 + 8*u - 32. Let r(p) be the first derivative of p**3\/3 - p + 14. Let f(n) = -o(n) - 6*r(n). Find the first derivative of f(s) wrt s.\nAnswer: 18*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of m**6\/120 - m**3\/3 - 6*m. Let w(z) be the second derivative of q(z). Let u(f) = f**2. Give w(u(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 + 4*r - 5*r**2 + 6*r**2)*(4*r - 2*r + 0*r + (47 + 22 - 23)*(4*r + 0 + 0)).\nAnswer: -372*r**3 + 744*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1936158747 to the nearest integer?\nAnswer: 44002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1056\/576*14 + 2\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4436.7 litres to millilitres.\nAnswer: 4436700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -291201*f**4 - 25*f + 579585788 wrt f?\nAnswer: -1164804*f**3 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 23 + 13. Suppose -231 = -4*q + 5*d, -4*d + 49 = q + 7. Calculate the highest common divisor of w and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 197 in 1, 2\/11, -0.3, -1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1215960952*i**2 - 817720795.\nAnswer: 2431921904*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 4 - 6)*(-3 - 2 + 3 + 2*h**2 + (-6*h**2 + h**2 + 3*h**2)*(3 - 3 - 1)) to the form b*h**2 + k*h + t and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78*i = 649*i - 389 - 338 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, -7, 49, -5, 1 in descending order.\nAnswer: 49, 27, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -7*f - 7. Let m be b(-5). Suppose x + 18 = 5*i, 0*x - 2*i = 4*x + 94. Let s = x + m. Solve s*t - 3*t + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2960211, -2960077, -2959945, -2959815?\nAnswer: -2959687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 191819774?\nAnswer: 2, 157, 610891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 35837 = 35837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -9927.6 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/592 and 81\/21016?\nAnswer: 42032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -535417\nAnswer: 267708.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33373 is divided by 153?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2f158c (base 16) to base 10\nAnswer: 3085708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39923 and 572?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122399 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-5)\/o*o)\/o*o**8*o*o**(2\/5)*o*o*o*o*o*o*o\/(((o\/(o**9*o*o))\/o)\/o) assuming o is positive.\nAnswer: o**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k + k - 323953*k**2 - 3*k.\nAnswer: -323953*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/539 and -58\/581?\nAnswer: 44737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6124715 to the nearest integer?\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*a**3 + a**2 - a**2)*(-5*a + 0*a + 2*a).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 333245002 to the power of 1\/3, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.45278 or -0.005?\nAnswer: -1.45278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -386, 28, -15 in descending order.\nAnswer: 28, 3, -4, -15, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -106\/105 and 56\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 2*x**3 - 1 + 8 - 4.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 8057*o**2 - 30*o - 30. Is m(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 1 - 61005*c + 60510*c)*(c + 3*c - 5*c) in the form g*c**2 + p*c + j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of -17*r**5\/120 + r**4\/4 - 6*r**3 - 1. Let v(w) be the third derivative of i(w). What is the first derivative of v(b) wrt b?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from acaccvacvcgaegvcccc. Give prob of sequence veae.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-10) + 13\/(-5). Let u = z - -19\/20. Let v = -33 + 100\/3. Which is the closest to v?  (a) u  (b) -0.4  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3186774 (base 10) to base 13\nAnswer: 877686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - w - 2)*(5318*w + 8 - 5323*w + 2)*((1 - 6 + 1)*(0 - 1 + 3) + (1 - 2 - 1)*(2 - 9 + 0)) to y + m*w**2 + p*w and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16890 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: Convert 6243501.6ns to weeks.\nAnswer: 0.00000001032325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4190803695 a multiple of 1615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 70*p + 439. Let b be y(-6). Suppose 3*l = 2*z - 33, z - b = 30*l - 31*l. Solve z = -n + 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2880 - 13563 = 128*x + 9067 - 2342 for x.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 394566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1322772 and 847?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 - 263. Let k be s\/(-14) + (-32)\/112. Suppose 3*j = 3, -3*p - 4*j = j - k. Let l(x) = x**3 - 4*x**2 - 4*x - 5. Determine l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + a - 32 = 0. Let k be ((-4)\/a)\/(2\/(-16)). Differentiate 32 - 4*i**k - 5*i**4 - 29 wrt i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1387 is divided by 105.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8829 - 8800. Suppose 5*h + 2*y - 93 = 0, -2*h - 2*h - 5*y + 88 = 0. What is the remainder when s is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 4*u - 70. Let m(j) = -13*j + 32. Let a be m(1). Let k be i(a). Solve 7*b - k = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - 16.6. Let h = 99.9 - 100. What is the third biggest value in y, -1, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1517067?\nAnswer: 3, 59, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -1. Let t(u) = 14*u - 16. Let h(k) = -t(k) + 3*z(k). What is the first derivative of h(n) wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 6) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 6, b: 8, r: 1}. What is prob of sequence nr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 PM and 12:01 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 6. What is the closest to 2\/7 in -0.1, 5, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/sqrt(6) + sqrt(3) - sqrt(3))*2.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -k - p, 2*p = 4*k - p + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11200200 (base 3) to base 12.\nAnswer: 1b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(1 - 2)*39. Suppose 0 = -4*s + 4*a - 44, -29 = 4*s - 3*a + 19. Let g = i + s. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -0*v + 1. Let y be -4*3\/6 + v. Is 14 a factor of y\/((-86)\/(-44) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 AM and 12:55 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cmmzzemzee. Give prob of picking 1 z, 2 m, and 1 c.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l + 10. Let t be n(0). Suppose 2*p = -3*p + t. Suppose -5*u = 4*a - 284 - 45, p*u - 134 = -a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*p + 2*p**2 + 2*p)*(-2 - 5 + 5) - 2*p**2 + 1 - 5 - 2 - p**2 - 3*p**2 + 5*p**2 in the form q + r*p + f*p**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 63 = t, 4*x + t + 22 - 105 = 0. Calculate the remainder when x is divided by (-4)\/(-10) - (-56)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -828 (base 15) in base 2?\nAnswer: -11100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 - 30. Let f be (1 - -5)\/(p\/(-8)). Is ((-105)\/6)\/((-2)\/f) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 41 and -0.51?\nAnswer: 41.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 11:58 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 11*y**2 + 4*y + 9. Let b be s(-11). Let v = b - -4. Round v to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -3*n + 3*z + 14, 0 = -5*n + z. Solve 0 = 6*r - 23 - n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -21\/29  (b) -5\/2  (c) -0.1  (d) -19804  (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/3)\/(11\/6). Let f be (17 - 18) + 0 + 18\/16. What is the closest to f in 0.5, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/5616 and 77\/208.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 5. Let o be ((-2)\/7)\/(138\/(-322)). Which is the third smallest value?  (a) o  (b) 0.3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11262 is divided by 276.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*t + 394 - 131 - 133 - 130.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 509639 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -234*p + 234*p + 48*p**2.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*c - 4*t, -5*c - t = 6 - 31. Suppose 24 = u - c. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d - 2. Let m be g(-7). Let t(w) = w**2 - 3*w + 2. Let s be t(5). Let o = m + s. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 + -11. What is the second derivative of 0*w**3 - w**j - 3*w**3 + w + 3*w**3 wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7429.078 - -7429. Which is the nearest to -0.04?  (a) 4  (b) g  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 131043981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 147 = 3*s, -142 = -23*c + 20*c - 2*s. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 1043*t**2 + 7*t - 11. Let y(x) = -520*x**2 - 4*x + 6. Calculate -6*i(d) - 11*y(d).\nAnswer: -538*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45321308 by -19.\nAnswer: 2385332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -308 + 28*a - 11*a - 7*a - 11*a.\nAnswer: -a - 308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11001 and 5211?\nAnswer: 99009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-5)\/(-25))\/(3*(-4)\/(-24)). What is the closest to x in 4, 2, -16, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 35 + 28*c**2 - 29*c**2 - 5*c - c. Let j be s(0). Suppose -p + 39 = j. Solve -p*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -2*r**2 - 1168*r = 0.\nAnswer: -584, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*x + 2112 + 501 = 0. Calculate the highest common divisor of 1273 and x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (14 - 7) - -4 - -15\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/11 - (-423135)\/11 - 1. Let q(i) = 38466*i - h*i + 85*i**2. Let k(j) be the second derivative of j**3\/6 + 3*j. Give k(q(n)).\nAnswer: 85*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 768786 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 369*g**2. Let t(n) = -6*n**2. Calculate t(j(f)).\nAnswer: -816966*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11184 + 11184 + 4*b + (-2 + 6 - 3)*(-2*b + 5*b + 2*b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/7 and 40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*h - 6*h = 100540. What are the prime factors of h?\nAnswer: 2, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2092999809.\nAnswer: 3, 697666603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 AM and 1:37 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -478*n**2 - 10 - 43*n**2 + 10.\nAnswer: -521*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000629921 to 6 dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -7*k**4\/6 + k**3\/3 - 2*k**2 + 15*k. Let d be t(5). Does 6 divide 4\/((d\/(-170) - 2)*5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -14*k + 5. Let i be u(0). Let y(n) = 2*n**2 - 5*n + 1. List the prime factors of y(i).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -37 - 6*v + 11*v**3 + 6*v + 38. Calculate m(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/14 + -3 + 386\/126.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34891592 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {j: 8, f: 5, x: 5}.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 129\/215*10\/3. Suppose u - 14 = -5*f, 0 = -u - 2*u - 2*f + 68. Solve -o*d + 8 = -3*k + u, -4*d - 28 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 527 equal to 109233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -8 - 91) + -158 + 195.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 8 = -2*l, 52*y - 3*l = 48*y - 12. Solve y = 4*a - 6*a + 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/5 in 1, 0.4, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.73 - 0.33. Let n = -0.22 + 7.62. Let m = 7 - n. Put m, -2\/3, b in increasing order.\nAnswer: -2\/3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of i**6\/20 - i**5\/60 + i**4\/24 + i**3\/6 + 7*i**2. Determine t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 4*q + 544, -4*q + 2*f - 550 = 6. Find the common denominator of 7*((-15)\/q)\/(-1) and -49\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -11*y + 1. Let q be k(-5). Suppose -w + 5*t = -23, 3*t = 2*w - 2*t - q. Suppose 0 = -p - 2 + 14. What is the remainder when w is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60, -79, -134, -243, -424, -695?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5*-70\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 3) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 4*w - 72, -3*u + 2*w - 270 = -8*u. Let v = u - 48. Suppose i + a = 68, v*i - 74 = 3*i + a. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00026730815 rounded to 7 decimal places?\nAnswer: -0.0002673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 111 + -108. Suppose 2*q - 109 = b. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + -2 + -4 + -3*sqrt(720)*3)*6*-1 + 1)**2.\nAnswer: 24624*sqrt(5) + 2099881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21635195.\nAnswer: 5, 37, 83, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, 1, 12.79, -3\/5, 275?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t + t - 1367. Let c = t + -2799\/2. Calculate the common denominator of 0\/(-2) - (-113)\/(-12) and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -38966, -38822, -38666, -38492, -38294, -38066, -37802, -37496?\n\"Answer: s**3 + 137*s - 39104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -133*q. Let t(n) = -1189*n - 2. Give i(t(m)).\nAnswer: 158137*m + 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -15, -89, -205, -351, -515, -685, -849, -995?\n\"Answer: 2*u**3 - 33*u**2 + 11*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60657 + 450145 = -252*z + 268*z. List the prime factors of z.\nAnswer: 11, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g**5 + 6524*g**4 - 521332*g**3 + 2013538*g**2 - 2489181*g + 990450 = 0.\nAnswer: -6603, 1, 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -160 + 166. Sort -5, -3\/5, n in decreasing order.\nAnswer: n, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28027.23 millimeters in centimeters?\nAnswer: 2802.723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 2067098000 to the nearest one million.\nAnswer: 2067000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 - (-22 - -29 - 51)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -6 + (62 - 57).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.08 - 0.88. Which is the biggest value?  (a) v  (b) 1\/2  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*d + 16*d + 21*d + 23*d - 97*d + 19*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/4  (b) 4  (c) 53023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 92259683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1994367 to the nearest integer?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*b + 48*b - 3*s = -1460, 6*b - 8835 = -3*s. What are the prime factors of b?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4 = -4*v - 3, 3*z - 5*v - 47 = 0. Suppose 17850 = z*u - 16431. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**2. Suppose 5*b + 13 = -12. Let y(c) = c + 1. Let v(k) = -6*k - 5. Let m(u) = b*y(u) - v(u). Give w(m(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 774208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 5*f - 17, 4*k - 4 = 3*f - f. Calculate the greatest common divisor of 12 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15137887871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/72692 and 89\/10690.\nAnswer: 363460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of c**4\/4 - 57*c**3\/2 + 640*c**2. Determine g(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 + -101 + -1 + (-6)\/(-2). Let n = 51 + p. Let w = -5 - n. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 107\/66 - 4\/33. Let m = 342 - 339. Which is the third biggest value?  (a) -4  (b) -7  (c) m  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -47 - -47. Suppose q = 5*j + 5, -j + 163 + 96 = 5*x. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 7:50 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 5*l - 6, 2*u - 39*l = -36*l - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 174022665?\nAnswer: 3, 5, 11601511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -10.78. Let g = -0.12 + q. Which is smaller: -0.18 or g?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 10. Suppose -856 = -209*d - 219*d. Which is the smallest value?  (a) v  (b) -0.5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-125)*-5 - (5 + -6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144626009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -705*q + 191*q + 151*q + 17010 = -237*q for q.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12\/(5*2\/5). Suppose -9*i - w*i = -150. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 2*g - 1491, 5 = c - 2*c. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 14a?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - 4*y + 2*y)*(-1 + y + 1) + (3*y + 0*y - 2*y)*(8*y - 2*y + y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30 - -51. Suppose -3*l - 3*f = i, 0 = 4*l + 5*f + 34 - 3. Let v = 4 + -9. Sort v, -1, l.\nAnswer: v, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 869705095.5 rounded to the nearest one million?\nAnswer: 870000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 91*u - 701. Let n(t) = -78*t + 601. Let f(j) = 15*n(j) + 13*p(j). Determine f(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -35\/4, -2\/7, 1932?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1900 + -1079. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.67584 rounded to 2 dps?\nAnswer: 16.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -3*v - 6. Let w(b) be the third derivative of -b**4\/24 + b**3 + 6*b**2. Let c be w(8). Does c = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1400.7 + 0.1.\nAnswer: -1400.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 7397101, 7397109, 7397117, 7397125?\n\"Answer: 8*w + 7397093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 72876 at most as big as 72853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**4 + 3*f - 3*f + (f + f - f)*(2 - 2*f**3 - 2) + 16 - 16 + 2*f**4.\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/29, 1.2, -4?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -318719, -1274183, -2866617, -5096015, -7962371, -11465679, -15605933, -20383127?\nAnswer: -25797255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 11*z**2 - 2*z. Let n(a) = -4*a. Give n(v(q)).\nAnswer: -44*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3\/2, -0.231, 3 in increasing order.\nAnswer: -0.231, 3\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-10)\/11)*5280602\/547987.\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 913*d**2 - 105003*d + 920 = 0 for d.\nAnswer: 8\/913, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 11) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2 = -0, v = 4*l + 8. Suppose -3*q + v = -23. Calculate the remainder when 51 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 3, 299798, 1\/6, -3, 0.01, -1\/3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1833 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (((-160)\/(-7))\/2)\/(-30*26\/(-2184))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f**3 + f. Let j(s) = s**2 - 33*s + 91. Let c be j(30). Calculate g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -k**2 + 382473*k - 8718727 wrt k?\nAnswer: -2*k + 382473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-2)\/p*p)\/((p*p**(-20)*p)\/p) assuming p is positive.\nAnswer: p**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/4 - 1103*g + 6609.\nAnswer: (g - 4406)*(g - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 114123334 divided by 2626\nAnswer: 43459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, h: 6, d: 10}. Give prob of sequence hdbd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l - 1. Let m(g) = 445*g + 1235. Let a(q) = -m(q) - 25*s(q). Find the first derivative of a(x) wrt x.\nAnswer: -395","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*z - 37. What is the second derivative of 1245 - 1245 + 6*o - z*o**4 wrt o?\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, y: 1, n: 2, d: 7, u: 6}. Give prob of picking 1 n, 1 j, and 1 d.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 35*g**2 - 212*g - 332. Give j(26).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -23*g**3\/3 + g**2 - 7*g + 16. Find the first derivative of h(v) wrt v.\nAnswer: -46*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1263697328053724 - 11830978.0736302571946276. Let z = u - -11830978. Let t = 0.2 + z. Round t to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**5 + 3*h**3 - 3*h**3 + (2 - 2 - 1)*(210*h**4 - 210*h**4 - 9*h**5))*(-1 + 4 - 2).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 31.1+19588\nAnswer: 19619.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -53225?\nAnswer: 53221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c**2 - 22*c + 76. Let m be p(9). Suppose -3*f + 38 = -5*f. Let r = f + m. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9950*u + 9951*u + 6*u**3 - 52 + u**2 + u**4 + 53 to b*u**2 + y*u**4 + f*u**3 + a + g*u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - 0. Let r be 819\/7 - (o - -3). Suppose 2*j - r = -2*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -y - y. Suppose y = 7*o - 8*o. Let u(d) = -d**2 + 2. What is the lowest common multiple of 20 and u(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -1*((3*sqrt(156))\/sqrt(12) + (sqrt(143) + sqrt(143)*-3)\/sqrt(11)) + ((-1 + sqrt(117))*-5 + 6*-1*sqrt(117))*-6)**2.\nAnswer: -13790*sqrt(13) + 505742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2357, -5, -3 in decreasing order.\nAnswer: -3, -5, -2357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 + 6*s**2 + 2. Let q be g(5). Let d = q - -11. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v + 0*v + v)*(0 - 1 + 3)*(3*v - 4*v - 3*v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/a**3)*a*a**(2\/17)*(a\/a**(-1\/4))**(-9))\/(a*a**(2\/3)*a*a*(a*a\/a**(-2\/3))\/a*a**(-1\/11)\/a*a\/a**6*a) assuming a is positive.\nAnswer: a**(-16549\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2255430 (base 6) in base 9?\nAnswer: -186830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/4185 and 41\/310.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 17 + ((1 - 6) + 1)\/(-2). Let q(d) = h*d - 38*d + 14*d + 2. Let l(j) = -j. Determine 4*l(t) - q(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -19614, -1\/4, 0.0142?\nAnswer: -19614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 61741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000733313931 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p - 3. Suppose -l + 0*l - 2 = 0. Let s be c(l). Let k = -0.2 - -0.2. What is the closest to k in 4, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 21 = s, 154 - 142 = 3*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 3*q + 19. What is k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/((u*u*u**(3\/2)*u)\/u))\/u*u*u**2)\/(u**(-1))**(-31))**(2\/143) assuming u is positive.\nAnswer: u**(-63\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1047 - 407. Let z(h) = 7*h**2 - 6. Let m be z(-8). Let k = i - m. What is the highest common divisor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i**2 + 327*i + 1321. What is t(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5318*r**2 - 10*r**3 - 5316*r**2 - 46*r**3.\nAnswer: -56*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 13*p. Suppose -4 = -6*c + 4*c, -2*l - 3*c = -12. Let m(d) = -2 + 399*d - 433*d - 1 + l. Give m(i(n)).\nAnswer: -442*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, m: 3, b: 5}. What is prob of picking 1 m and 1 b?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 21, 40, 67, 102, 145?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 395449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18835*j - 18821*j = -4*i + 116, -37 = 3*i - 5*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -8*v**3 - 4*v**2 + 357*v + 359. What is a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/10?  (a) -11  (b) -0.1  (c) -2  (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 90 and 1770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1328 divide 2887379601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u - 5. Let y = 19 - 12. Let l be a(y). What is the second derivative of 3*c - 4*c**3 + 4*c**3 + l*c**3 wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 - 46*q**2 - 29*q + 299. Does 79 divide j(-47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4*q**3 - 79*q**2 + 142*q - 137. Is o(34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/69 and 47\/184.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2 - 195*o + 99630.\nAnswer: -5*(o - 123)*(o + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3)\/(q\/q**(-17)))\/((q\/(q*q\/((q*(q\/(q\/(q\/(q*q*q\/q**(3\/5)))))\/q)\/q)))\/q*q*q**(12\/5)) assuming q is positive.\nAnswer: q**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40 + 68. Let p = 43.8 + -12.4. Let l = q - p. Round l to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**3 + 7*c**2 - 2 - 10*c**2 + c + 11*c**2 - 11*c**2 in the form g*c**3 + l + q*c**2 + x*c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 0*w - 88. Suppose 3*g = 10*g. Solve 0 = 3*a - 4*r + w, 2*a - r - r + 12 = g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/(sqrt(9)*-3) + -4*sqrt(700) + sqrt(28))\/(-2*sqrt(484)*2 + (sqrt(484) - ((sqrt(484) + sqrt(484) + sqrt(484) + 2*sqrt(484))*5 + sqrt(484)))).\nAnswer: 2*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16478700 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + (-1*2*sqrt(228) - sqrt(228))))\/sqrt(12) - sqrt(38)\/(sqrt(2) + sqrt(6)\/sqrt(3))*5.\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -5*z - 13. Let r be x(-5). Let v be 1 + 69\/21 - r\/3. Which is the closest to v?  (a) 5  (b) 4  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5398967*z**2 - 2699604*z**2 - 2699374*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 69160 - 48715. What are the prime factors of g?\nAnswer: 3, 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and (0 - (-2 + -3)) + 2.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 107720, 108386, 109052, 109718?\nAnswer: 110384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1934636*z**3 + 3*z + 18107284?\nAnswer: -5803908*z**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 6*l + 6. Calculate a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 2 c, and 1 n when four letters picked without replacement from llxcxnxllc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + b)*(-188 + 389 - 187).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/19 less than -99\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4959332*b**3*v - 2*b**2*v + 2*b**2 - 2*b*v - 199*v wrt b?\nAnswer: -29755992*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1276548*k + 41252 wrt k.\nAnswer: 1276548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -11. Suppose -270 = -t*z + 363. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 11*c**2 + 25*c - 8. Let h be r(8). Solve h = 4*m + 8 + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - -2) + (1\/3)\/(120\/(-1530))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*d**5 + 4 - 4 + (-d**2 + 2*d**2 + 2*d**2)*(-d**3 + d**3 + d**3 - 4*d**2).\nAnswer: -3*d**5 - 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60\/(-21)*(-34895)\/(-3988)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + -11 - (-18 - -32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-24)\/(-132) + (-290)\/22 and -55\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 + 3*y**2 - 8*y - 14. Let v be c(-3). Let k be 0\/((-6)\/15 + (-16)\/v). Let f**3 - 2\/3*f + 5\/3*f**2 + k = 0. Calculate f.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 34*a**2 - 34*a + 39. Let j be n(-35). Solve j = -r, -6*r - 12 = 4*t - r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 6:27 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 28\/6 - (-6)\/18. Suppose -2*w + a = -0*w + 22, -w + z*a - 2 = 0. Let p be (4\/8)\/((-1)\/w). Solve 3*b = p*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*l, -257 = -2*z + l + 306. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 16*z. Let m(i) = 833*i**2 - 3*i + 3. Give u(m(o)).\nAnswer: 13328*o**2 - 48*o + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 5916.18 to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 8*l**2 - 9*l - 5. Determine i(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -0.4, 1, 0.7, 217?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1526 - -351042?\nAnswer: 347314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -1. Let s(l) = -2*l**2 + 8*l + 439. Let a be s(17). Let g(j) = j + 2. Suppose 0*u - u - 2 = 0. What is a*d(w) + u*g(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from fffjjj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 282809017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*o**3 - 27*o**3 + 48*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0*h - h + 10.\nAnswer: -h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 62 - 61. What is the highest common divisor of 9 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.08149t in micrograms?\nAnswer: 27081490000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2111\/(-44331) - 2\/(-189)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 + 5*c + 4. Let x be p(5). Suppose 0 = 4*y - 5*f - 296, x*f + 0 - 370 = -5*y. Is y a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10329\/10 - 1033. Which is the third biggest value?  (a) 3  (b) r  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/8 + 3\/(48\/52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -3*h. Let s(u) = -u**2 + 5*u + 5. Let i be s(5). Let m(l) = 5*l + 0*l - l**2 - i*l. What is t(m(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2894910 or 2894906?\nAnswer: 2894910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.22 times 9?\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -245*z**3 + 245*z**3 + 19*z**2 + 7*z**5 wrt z.\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 (base 8) in base 6?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 41313786 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 11 - 37*a**2 + 7 to d*a + r*a**2 + o and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47022147?\nAnswer: 3, 73, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -60, -52, -40, -24, -4, 20, 48?\n\"Answer: 2*k**2 + 2*k - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 31, 56, 101, 172, 275, 416?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - -4)*(-2)\/(-6). Let m be (-28)\/7*a\/(-1). What is the second derivative of 2*r + 2*r**4 - 6*r**m + r**4 - r wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1819680604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.1606*0.2\nAnswer: -0.03212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -184 divided by 46\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -11. Calculate the remainder when 46 is divided by 13*i + -3 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) -3  (c) -381  (d) 0.89  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - o + 13 = 0, -4*f + 2*o + 0 = -2. Suppose 2*g = -f*g. Suppose 3*u = -g*u. What is the second smallest value in 2\/11, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 3 + 1. Let r = u + 4. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 9 + (5 - (-63 + 87)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/((d*d**(-1\/4))\/d))\/d*d*d**4)**46\/(d\/(d*d\/(d*(d**1\/d*d)\/d)*d)*d\/(d*d**(3\/5)*d)*d)**16 assuming d is positive.\nAnswer: d**(2671\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 4*t + 24, 24 = 2*c + c - 3*t. Suppose -15 = -c*a + a. Solve -a*d = -5*o, 0 = 2*d + d - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pwwqwqqqqwpmpwqppp. Give prob of picking 2 q, 1 w, and 1 p.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1810 * -0.7\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of -38*v**3\/3 + 11*v**2\/2 - 2180*v - 1984. Differentiate i(a) wrt a.\nAnswer: -76*a + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 1 + (0 - -4) + (0 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1631 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141962?\nAnswer: 2, 70981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 467417, 467242, 466951, 466538, 465997, 465322?\nAnswer: 464507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 1592174?\nAnswer: 12737392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1224\/(-816)*2\/111.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 1002*t + 446. Let m(b) = -200*b - 89. Let n(x) = 14*m(x) + 3*s(x). Differentiate n(o) wrt o.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1095935763.000008 - 1096099220. Let b = u - -163474. Let p = -17 + b. Round p to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 - 10*k**2 + 8*k. Suppose 0 = 16*v - 10*v - 54. What is u(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3*j - 3. Let p(i) = i**3 - 6*i**2 + i. Let h be p(6). Let t be n(h). What is the highest common factor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -5, -1\/3, 0.04, 3\/80, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 200*b**2 + 2*b - 3. Let c(p) = 201*p**2 + 2*p - 2. Determine 3*a(n) - 4*c(n).\nAnswer: -204*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 11:55 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 4*r + 6. Let c(g) = g**3 + 3*g**2 + 5*g + 4. Let t be c(-3). Let z(l) be the first derivative of 7\/2*l**2 + 11*l + 29. Determine t*v(u) + 6*z(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-303*n - 271*n - 91*n)*(-3 + 3 - 1)*(-3*n + 0*n + n).\nAnswer: -1330*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of 69*q**4\/2 - 42*q**3 + 193. What is the third derivative of z(a) wrt a?\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -3*d - 490, -3*z - 3*d + 369 = -6*d. Calculate the greatest common factor of z and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -294*t**3 - 3*t**2 - 9*t - 33. Let v be w(-3). What is the highest common factor of 85 and v?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifty-nine quarters of a minute?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide ((-7)\/2)\/(-1 + 4856\/4864)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-13 - (16 - 6 - 36) - (11 + -6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -2 + (-24 - -33 - -22 - 30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x**3 + 300*x**2 + 1695*x - 4550 = 0 for x.\nAnswer: -7, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*z - 0*l - l, -4 = -4*z + 3*l. Suppose 0*d = -z*d. Let r = 12 + d. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-2\/5)*w)**(-43)\/(w\/w**0*w)**37)**(2\/37) assuming w is positive.\nAnswer: w**(-1772\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 + 10. Suppose 4*u - 3*a + c + 3 = 0, -3*u + 3*a - 6 = 0. Let l = 13 - 8. Solve -l*g + g + 8 = u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7195\/2 + 3598. What is the closest to 23 in -0.6, -1\/5, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 4, 5, 11 in ascending order.\nAnswer: 4, 5, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of -y**5\/60 - 5*y**4\/24 + y**3\/6 - y**2. Let g be j(-5). Calculate the remainder when (60 - (-1 + 2))\/g is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -31, -39, -47, -55, -63?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 11:21 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 20*z - 1 - 13*z)*(3 - 3 - 1).\nAnswer: -7*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3\/2 + 5281*g**2\/2 - 2630*g - 52800.\nAnswer: -(g - 5280)*(g - 5)*(g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -8*l**2 - 189*l - 79. What is b(-24)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -21b5 - 4?\nAnswer: -21b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 10 - 2)*(2*d - 3*d - 2*d)*(2037 - 635*d - 2037).\nAnswer: 9525*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 10:24 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 241944793 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -6 + 2*s - 10*s + 26. What is the tens digit of k(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 243889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 43\/5 - (-2)\/5. What is the greatest common factor of a and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 60606946\/757 - 80062. Is v >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -86558184724256 + 8309867130211105\/96. Let z = 2931187163 - i. Let c = 28279 + z. What is the common denominator of c and -27\/20?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 85*p**3 - 2*p + p - 91*p**3 - 3*p + 2*p**3 + 3*p + p**3 - 4*p**3 + 2*p**3 + (p - 2*p**2 - p)*(-3*p + 2*p - p) - p**3 - 5 + 5 + 4*p**2 - 4*p**2 - 3*p**3.\nAnswer: -5*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29882, 30038, 30200, 30368, 30542, 30722, 30908?\nAnswer: 31100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199739903?\nAnswer: 11, 1650743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, o: 1, b: 1, w: 1, u: 1}. Give prob of sequence ou.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(11) - (sqrt(44))**2) + 5*(sqrt(11) + 0).\nAnswer: -44 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 316476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 49*s**6 - 4*s**4 - 1135*s**2 wrt s.\nAnswer: 5880*s**3 - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -241 = 3*u + 4*y, -340*y - 334*y = -4*u - 644*y + 1728 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-30*b**3 + 0*b**3 + b**3)*(b - 5*b + 3*b) + (-3*b + 7*b - 2*b)*(-6*b - b**3 + 6*b) in the form o*b + c*b**4 + w*b**2 + g*b**3 + d and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1040\/50)\/((-3)\/(-465)). Suppose 4*d + 9*d - h = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*x + 23*x + 2 - 1)*(-2 + x**2 + 2).\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -6 + n**2 - n**3 + 2*n**2 - 7*n**2 - 9*n - 3*n**2. Does 19 divide u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + p + 2)*(-90*p + 7*p - 14*p - 21*p).\nAnswer: -118*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 288731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rttq when four letters picked without replacement from rrtzrrrtzrttgtttqt?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 34717 - 4?\nAnswer: 34713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**2 + 1248*j + 32238 = 0. What is j?\nAnswer: -597, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6 - 3)\/((-1)\/(-3)). Let k = r + 6. Solve -3*n + k = -0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 6*d - 6. Let i = -1 + 0. Let g = -29 + 21. Let c(q) = -q + 1. Give g*c(x) + i*r(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of 2071*b**7\/42 - 4*b**3\/3 - 51*b**2\/2 + 10*b - 30. Find the second derivative of p(y) wrt y.\nAnswer: 41420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/(o*o*o**(-8\/3))))\/o**27)**(-3\/32) assuming o is positive.\nAnswer: o**(83\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 130918, 130932, 130946, 130960, 130974, 130988?\n\"Answer: 14*g + 130904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214*a = 193*a - 16 - 320 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2876 + 3551. Calculate the highest common divisor of 54 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8206*n**2\/15 - 7670*n + 8040.\nAnswer: -2*(n + 15)*(4103*n - 4020)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 74 - 45. Suppose v = -5*d + w - 2, 7 = -4*v + 3*d. Factor 0 + 2\/9*u**v + 0*u.\nAnswer: 2*u**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 7) to base 4.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(4 + -1 + -1 + sqrt(1377) + sqrt(1377)) + -5*(-3 + 0 + sqrt(1377)*2))**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 + 5)*(-2 - -3). Sort 5, -1, u.\nAnswer: -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 132 = 3*n. Calculate the remainder when 112 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-8) - ((-83)\/(-4) - 3). What is the smallest common multiple of ((-2)\/3)\/((-1)\/n*-1) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 13*w**3 - 8*w**2 + 3*w - 2. Let q be -1 + 4 - 0\/18. Does 32 divide l(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.5 - 0.3. Let i = -0.2 + s. Suppose 3*y = 14 - 8. What is the closest to -0.2 in 0.3, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i**2 - 56*i + 56*i - 97. Let q(j) = -7*j - 2*j - j + 5*j + 4*j. What is l(q(k))?\nAnswer: 2*k**2 - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**5 - g**5 + 11*g**5 - 2*g + 0*g**5 wrt g.\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o + 2*o**2 - 6*o + 8 - 10*o + 19*o in the form t*o + a*o**2 + q and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -4 + c**3 - 1 - 2*c + 2*c**2 + 2. Let x(r) = -r**2 - 20*r - 72. Let n be x(-5). Is y(n) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 663164503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.19 and 788148?\nAnswer: 149748.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 3, -5, -1, -64457 in decreasing order.\nAnswer: 3, 2, 1, -1, -5, -64457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 35\/5 - -14 - 8. Let g(h) be the third derivative of h**4\/12 - 3*h**3\/2 - 4*h**2. Let w(a) = 4*a - 19. Give z*g(b) - 6*w(b).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100300332233 - 10?\nAnswer: 100300332223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zr when two letters picked without replacement from mezmzrzzmybzmzmm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1384 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -488 + 443 = -5*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(30)\/(sqrt(90)\/sqrt(9)).\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = -4*t + 5*m - 21, 2*t = 3*m + 58. Put 1, t, -1 in descending order.\nAnswer: t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -970*10\nAnswer: -9700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19327\/5 - -3865. Which is the nearest to r?  (a) -1\/5  (b) 192  (c) -2\/3  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25 + -21. Let p(o) = -3*o + 4. Let f be p(-5). Let q = 55\/3 - f. What is the closest to -2 in k, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = g + 1 + 7, -6 = 2*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -67*o**2 - 6476*o + 4. Let p(j) = -11*j. Determine k(p(y)).\nAnswer: -8107*y**2 + 71236*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 108 - 96 = 0, -3*k - 8 = -a. Let l(s) = 36*s + 153. Let j be l(a). Solve -5*v - 37 = -4*n, n - j + 1 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 634 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5844858, -11689714, -17534570, -23379426?\n\"Answer: -5844856*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of -a**7\/210 + a**4\/6 - 37*a**3\/6 - 19*a**2 - 3. What is the first derivative of s(c) wrt c?\nAnswer: -4*c**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56954 less than 434159?\nAnswer: 377205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c**3 + 4877075*c**2 + 39016360*c + 78032560 = 0 for c.\nAnswer: -975407, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 135805\/29 - 4683. What is the biggest value in -4, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5792 - -5815. Let f = -6 - -53. Let n = z + f. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 4*b**3 + 2. Let n(j) = -5*j**3 - j**2 - j - 3. Calculate -2*n(i) - 3*y(i).\nAnswer: -2*i**3 + 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v = -v - 40. Suppose -5*p + 21 = 2*g, -4*p - 2*g = -5*p + 9. Solve -28 = -v*n - 3*k, k + 4*k + 20 = p*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 43160411405*v**2 + 1858180*v + 20 = 0.\nAnswer: -2\/92909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 2769 and 6213 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l - 4*l**2 + 82821 - 82147 - 3*l - l**2 + 2*l**2 to the form h + c*l**2 + j*l and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r**2 - 2. Let i(f) = -6*f**2 + 7. Let v(w) = -2*i(w) - 7*u(w). Let j(m) be the third derivative of -m**5\/4 + 4*m**2. What is v(j(o))?\nAnswer: -450*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 5*o + 16 + 15, 0 = -3*q - 4*o. Solve -8*h + q*h + 36 = 5*v, -h - 3*v + 16 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32\/(-6))\/(1 + (14\/(-6) - -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(225) - (sqrt(225) - -2*sqrt(225))) - (sqrt(225) + (sqrt(225) + sqrt(225) + (sqrt(225)*3 - sqrt(225)))*5))\/(-1*(1*sqrt(605) - sqrt(320)*2)).\nAnswer: -69*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(140))\/((sqrt(448) - (4*sqrt(448) + sqrt(448))) + sqrt(448) - sqrt(448)).\nAnswer: -3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*198\/(-18)*(-47 + 0). Suppose 5*t = 3*c + h, 0 = t - c + 43 - 148. What are the prime factors of t?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2281, 2290, 2301, 2314, 2329, 2346?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -9573927000 to the nearest one million.\nAnswer: -9574000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lak when three letters picked without replacement from oaalkokkokkookkk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(17) + 5)*-4 - (sqrt(68)\/sqrt(4) + -4 + 2).\nAnswer: -5*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0936 less than 54?\nAnswer: 53.9064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4062\/361 + -1518287\/5415. Let i = k + 269. Let a = -0.122 + 0.022. Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 AM and 12:25 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - j = j - 4, 2*g + j = 4. Suppose -1811 = -g*i - 5*v, -4*i - 3*v = -226 - 3417. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3*w + 0 = -23, 4 = 4*w. Let b be (52\/6 - d)*3. Let m = 17 - b. Calculate the lowest common multiple of 4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 less than -42698?\nAnswer: -42697.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(3\/(-2 - -1)). Let d be (-3)\/4 + 1 - 0. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 6. Suppose -3*t = -o*j - 16, j = 2*t + 2*j - 2. Suppose -5*u + 29 = 2*m, -m = -t*u + 12 - 4. What is the highest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -400 (base 6) to base 4\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.329 + 2.818. What is j rounded to 2 decimal places?\nAnswer: 1.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 181873.7219 - 182344.1919412. Let n = j + 494.47005. Let l = n + -24. Round l to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4 = 8. Suppose s - 5 = -i. Let r = 3 - 2. Sort r, s, 3 in decreasing order.\nAnswer: 3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8374.3t in grams?\nAnswer: 8374300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lljjjdjzll. What is prob of picking 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -260*d - 4954 - 34365 = 700*d + 4841 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-6) + (-42)\/(-18). Let w = 4 - k. Let c be ((-2)\/w + (-4 - -7))*3. Solve -b = -4*d - 11, -2*b = -2*d - 7 + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/27*3*4995\/(-555)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 3*b**3 - 144*b**2 - 960*b + 17485. What is z(52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 5*b**4 - 8459390*b**3 + 4770746305200*b**2 - 896830334409232000*b - 1793679751871360000 = 0.\nAnswer: -2, 563960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -8291, 3, 0.2, -1, -1\/5, 2, 15 in descending order.\nAnswer: 15, 3, 2, 0.2, -1\/5, -1, -8291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.66 + -2.71. Let r = 5.261 - 0.261. What is the nearest to 3 in -5, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1431550.\nAnswer: 2, 5, 28631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1004, -985, -966, -947?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**3 - 38*i**2 - 17*i + 26. Let a be c(-19). Let k = a - 170. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 271.66 - 274. Let h = d + 0.34. Sort 0.3, -0.1, 13, h.\nAnswer: h, -0.1, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 1, 80, -1, 11, -12 in decreasing order.\nAnswer: 80, 12, 11, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -662 = 22*r + 25*r - 98 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -6*y**2. Let v(u) be the first derivative of -1\/3*u**3 + 0*u + 0*u**2 + 3. Determine v(f(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 4*p - 2. Let i(a) = 59*a - 3. Determine i(u(v)).\nAnswer: 236*v - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of m**6\/60 + m**5\/15 + m**4\/12 - m**3 + 8*m**2. What is the units digit of l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 57 = -3*j - 2*w, -w = 2*j - 23. Let y = 17 - j. Solve -p - 5 = -y*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 209 + -208. Which is the nearest to u?  (a) -2  (b) -3\/4  (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w**2 - w + 1 + 6*w**2 + w**3 - 7. Let o be a(-8). Suppose 0 = j + 5*q + 2, 2*j + 0*j = -o*q + 4. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -5*t + 1040. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 652582242?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1553104 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 488337?\nAnswer: 3, 162779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 129077 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12 - 2 - 36\/12. Let k(q) = 2*q**2 - 15*q + 16. Let i be k(s). Solve -14*z - 15 = -i*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.76137 rounded to 3 dps?\nAnswer: 0.761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/20)\/(2151\/(-1080) - -2). Let q = 53 - 18. Let j be (60\/q)\/((-2)\/(-7)). Calculate the highest common divisor of j and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**3 + 2*n + 32*n + 0*n**3.\nAnswer: -n**3 + 34*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -101764 divided by 5356.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/11376 and 85\/1422?\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6752 or 6863?\nAnswer: 6863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -134 + 19 + 1 + 2 - (-22 - -4)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/114 and 55\/456836.\nAnswer: 1370508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 6 + 1 + 6 + 2 + 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.05 + 0.25. Which is the nearest to -2\/9?  (a) 5  (b) x  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 994 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5183165?\nAnswer: 5, 13, 23, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 83 - 89. Let k = 5 - g. Solve -v = -3*x - 15, 0*x + 5*v = -x + k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of f**4\/3 + 3260*f**3\/3 + 1328450*f**2 - 993*f. What is o in k(o) = 0?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 17b - -63?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 10797 divided by -11\nAnswer: -10797\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do 111\/101215 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 34. Let f be -1*6\/u*-1. Put f, 10, -1, 5 in descending order.\nAnswer: 10, 5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137, -150, -163, -176?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 - (7 + -1)*(231\/198)\/((-28)\/(-36)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -3*a - 2*d + 116, d - 118 = -4*a. Suppose -a = -o + 16. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 3)*3\/8. Let h(w) = -w**2 - 6*w - 4. Let a be h(-6). Let x(l) = -l**2 - 5*l - 2. Let s be x(a). What is the nearest to 1 in -0.1, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*h - 2*t, 0 = 24*h - 21*h + 2*t - 13. Calculate the lowest common multiple of h and 112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39656042 is divided by 1279227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 214910030015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -89 and -54735684.\nAnswer: -54735773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 7*r**3 + 4*r**2 + 6*r + 5. Let y(g) = -g**3 - g**2 - g - 1. Determine 2*d(a) + 10*y(a).\nAnswer: 4*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 m, and 1 g when three letters picked without replacement from rggrhggmgmggggggggr?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 6:28 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + -2 + 3 + sqrt(17) - (3 + sqrt(17) + -3) - 6*(sqrt(272) - 2*-1*sqrt(272))**2.\nAnswer: -14687 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 366 and 51.\nAnswer: 6222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, 1\/7, 209, -2, -2\/15, 0.5, -0.025?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17817514 is divided by 1444.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -195 - -192. Let m be 0\/(-5) + x + 119. Calculate the highest common factor of m and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 1109*p**4\/4 + 65*p**2 + 2*p + 3349. What is the second derivative of f(a) wrt a?\nAnswer: 6654*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28*(((-261)\/315 - (-147)\/105) + -4).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-8)*(-3505336)\/(-123). Suppose -8*h = -10*h + a. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.705534cm in kilometers?\nAnswer: 0.00004705534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3523.\nAnswer: 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 558 = -2*m - 563, 22 = -m - 4*c for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fjz when three letters picked without replacement from frrfjfrjfjrjfjfz?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1768\/4655?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*y**3 + 29*y**3 + 1 - 606*y + 606*y + 1.\nAnswer: 93*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14128 - 3021 = c - 5*q, -3*c = -4*q - 33299. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -q**4\/4 + 11*q**3\/3 - 5*q**2\/2 + 17*q - 11915. Give d(8).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2765 - -4399. Suppose -5*f - 2*w - 1717 = 2387, 2*f - 3*w + j = 0. Round f to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (6 + (11 - 6 - 15) - -40).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2381*l + 20*l**3 + 61*l**3 - 141*l**3 + 59*l**3.\nAnswer: -l**3 + 2381*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45 - -68. Suppose 0 = 2*l + w - 35. Calculate the greatest common factor of l and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6720, 6450, 6184, 5922, 5664, 5410, 5160?\nAnswer: 4914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p**2 + 0*p**2 - 4*p**2 + (-p - p + 0*p)*(0*p - 2*p + 0*p) - 2 - p**2 + 2*p - p**2 + 8*p**2.\nAnswer: 3*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 379*l. Let f = -18 + 19. Is t(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, n: 1, u: 9, l: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 552*s - 1321*s - 2015*s - 278400 for s.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 8*u = -3*u - 95, 5*c - u - 177 = 0. Let g = 208 + c. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6*4\/(12\/1). Suppose 4923232 = -u*h + 17043248. Suppose 4*j + 3030008 = -c, -h = -c + 3*c + 4*j. Round c to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 46 = -4*t + 36, -6 = 3*t + 3*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32 - -31.73. Let k = -22 - -22.096. Let g = k + y. What is g rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*i + 0 - 5*i - 7*i + 0*i + 14.\nAnswer: -i + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8718257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 12 + 4 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 35*j - 153. Let i be s(6). Solve 41*n = -107 - i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80623889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143 - 77 = 2*b. Let w = 122 + b. Solve w = -4*u - 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/8, 0.013, 38, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33\/(-341))\/(14\/(-8) + 14\/56).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.055112 rounded to 3 dps?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*(h**(-2\/17)*h)\/h)*h\/h**(-3\/5)*(h*h\/((((h\/(h**(-7)\/h)*h)\/h)\/h)\/h))\/(h\/((h\/((h*h\/h**(-5))\/h)*h)\/h)))**28)**(-35) assuming h is positive.\nAnswer: h**(154644\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -66 + 66. Suppose s = -6*k + 2*k + 3020. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*u - 8 = -93*u. Sort -5, 5, 1, u.\nAnswer: -5, u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -7740, -15468, -23184, -30882, -38556, -46200?\n\"Answer: n**3 - 7735*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -3  (b) -932\/273  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/1013 + -1019\/3039. Let o = -42 + 171\/4. Which is the second smallest value?  (a) 3\/7  (b) o  (c) -5  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -34 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -205 + 75. Let y = -121 - a. Suppose y = -3*r, -g + 2*r = 4*g - 11021. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7528679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 4)*1\/3. Let n = -303.1 + 303. What is the nearest to -1\/3 in 2, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -60 + 1?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + s + 4*s = -12, 2*b - 4*s - 10 = 0. Let t = 1 + b. Suppose c - 3*m = -2*m + 4, 2*m + 8 = t. Solve x = 5*k - 20, -4*k + 4*x + c = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111010101011 (base 2) to base 13.\nAnswer: 192b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 4*r**2. Let n(j) be the third derivative of -j**4\/24 - 6*j**2. What is n(c(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39)\/(-78)*16\/22*(2277\/(-162))\/(-23)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145311123 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001343104186 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 101920 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2627983 and -145.\nAnswer: 38.1057535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2060872 divided by -4.\nAnswer: 515218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-176)\/330)\/(10\/(-25))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 449\/15486?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*a - 5*a - 14*a + 23*a.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 2*v**2 - v + 1. Let k be y(1). Let u be (-30000)\/k*-123*1. What is u rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25175\/371 - 22) + -48.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c + 8*c - 17 = 5*k, c + k + 1 = 0. Suppose -2*d + a + 2381 = c*d, 3*a - 12 = 0. What are the prime factors of d?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1815 - -1813. Put -5, 1, 4, n in decreasing order.\nAnswer: 4, 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence din when three letters picked without replacement from dijjnddddhhijj.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20012 - -223?\nAnswer: -14234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 280658429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 less than 3.639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/9 + 68000*m\/9 + 578000000\/9.\nAnswer: 2*(m + 17000)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/13, 1, -2\/11, 14, 4, -0.14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.042 - 0.042. What is the closest to z in -0.1, -0.4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 8:53 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 9, i: 1, d: 1, y: 4, p: 5}. What is prob of sequence ii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 180 and 1044.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -4, 3, 14, 29?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/7 + (-300)\/(-315).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - -34) + (8 - 19) - -8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((-36)\/(-4))*(-24)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2860, 5860, 9112, 12742, 16876, 21640, 27160, 33562?\nAnswer: 40972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (38\/(-95))\/(4\/(40\/(-7)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -5*p**2 - 439*p + 5. Let u(c) = -11*c**2 - 881*c + 12. Calculate 7*m(z) - 3*u(z).\nAnswer: -2*z**2 - 430*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 153169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - -15) + -2 + 1. Suppose 6*o + c = o. Calculate the least common multiple of (-1 + o)*-1*39\/13 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 13*l + 28. Let w be j(-2). Solve 3*m = -2*b + 1, -w*m + 0 = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 411267959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34) + (sqrt(306) + (sqrt(306) - (sqrt(306) - -1*sqrt(306) - sqrt(306))))\/sqrt(9))\/((sqrt(96)\/sqrt(4))\/sqrt(12)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kd when two letters picked without replacement from {d: 9, k: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 659852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5105*m - 29*m**2 - 34*m**2 - 5107*m + 13*m**2.\nAnswer: -50*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2480 in 0, -2, 2, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32118606 and 389961.\nAnswer: 353304666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {x: 1, t: 1, k: 1, q: 5, y: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32131 - 130?\nAnswer: -32311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -120, -247, -374?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -0.2  (c) -4  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**2 - 142 - 15 - 45 - b**2 in the form q + w*b + f*b**2 and give q.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 11, a: 7, w: 2}. Give prob of sequence vaww.\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = j - 4*y, 5*j + 4*y + 19 = 176. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -119 + 127. Suppose 700 = -3*c + i*c. Calculate the greatest common factor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 188167 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1666830 and 2778050?\nAnswer: 8334150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t. Let z(c) = -c + 4. Let n(g) = 6. Let r(f) = -4*n(f) + 6*z(f). Give r(m(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 5*h + 12. Suppose -h*i + 56 = i. Solve x + x - 7 = -5*r, -2*x - i = -2*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4098 a factor of 182434764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) + 4*2*sqrt(130) - sqrt(130))) + -5*sqrt(130)*-1 + sqrt(130))\/(sqrt(90)*1 - -6*sqrt(250)).\nAnswer: -sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.854 * 8244.\nAnswer: 23528.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 429*r - 222. List the prime factors of i(13).\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 52.7964275 to 0 decimal places.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4374575847?\nAnswer: 3, 17, 29, 241, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 423 + -418. Let w(m) be the second derivative of -3*m + 0 + 0*m**k + 5\/6*m**3 + 0*m**4 + 1\/15*m**6 + 0*m**2. Find the second derivative of w(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 2*o + 1 + (5*o - o - 3*o)*(15 + 8 - 2).\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + 17*j + 1 + 7 to the form m*j + v and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 2901400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10140 is divided by 4753?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/9546752 and -173\/53700480.\nAnswer: 429603840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/(-315)*-203*3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*k + 134*k + 119*k + 132*k - 648*k + 111*k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35\/(-25))\/7*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, 0.08, 0.5, 0.2, 5, 19.87?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2590*f*m**2 + 114*f*m - 9*f + 22*m - 6935918 with respect to m.\nAnswer: 5180*f*m + 114*f + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -217 - -228. Let q be 0 + (1 - 1 - (-3)\/9). Which is the nearest to q?  (a) h  (b) -0.2  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 7, -4, -1142, 5, -1 in descending order.\nAnswer: 7, 5, -1, -4, -14, -1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8070255 is divided by 944?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 14 + -19 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1032 and 222267?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 times -245?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(6*3*sqrt(66) - sqrt(66)))\/(sqrt(6) + sqrt(48)\/(sqrt(8)*-1) - (sqrt(96) + (sqrt(96) + sqrt(96)*-2 - sqrt(96)))))**2*6 + -5.\nAnswer: 85823\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f - 4. Let g(c) = c**3 + c. Let t be 4\/((-1)\/(-2)*-2). Let j be -1*1 - (t + 3). Let x be g(j). Give l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 2700\nAnswer: 1\/900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3 = -5*x + 9, -2*d - x + 6 = 0. Suppose 26*f - 57 = -31*f. Sort d, f, 15 in increasing order.\nAnswer: f, d, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 8) + (12 - -4 - 17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, -4234, -0.2, -1.53.\nAnswer: -4234, -26, -1.53, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3030696953?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0214 - 248.0214. Sort 2, -2, z, -1\/2 in descending order.\nAnswer: 2, -1\/2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 522 a factor of 8152887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 700 = 467. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from bowb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -1 + 7 + g**3 + g - 2*g**3 + 5*g**2. Suppose -s - 1 = 0, 2*s = -5*o + 3*s + 276. Let w = 60 - o. Determine x(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + (sqrt(76)*-1 + sqrt(76) + sqrt(76) - sqrt(76)) - ((sqrt(76) + 0 - sqrt(76)) + sqrt(76)))**2 + -6*(sqrt(171) + 4 + (sqrt(475)*-2)**2))*-4.\nAnswer: 72*sqrt(19) + 45696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -145706252*l + 189127895?\nAnswer: -145706252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaaaww. What is prob of sequence waw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/((-128)\/60)*5\/25.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -7593, -2, 4, -63.\nAnswer: -7593, -63, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 + 10*p**2 - 93*p - 521. Calculate n(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2366.1 and -0.23.\nAnswer: 544.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 6084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -429 + 30*n + 429 + (-5 + 5 - 1)*(-6 + 3 + 1)*(-4*n - 12 + 12)*(-2 - 4 + 5) + 1 - 2*n - 1 + (-6*n + 4*n + 3*n)*(0 - 5 + 3).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00217664 to 5 dps.\nAnswer: 0.00218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 56425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 11\/5*(-42450)\/124520\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 33440*p**4 + 2*p**2 + 2*p + 99429.\nAnswer: 802560*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 110 - 113. Which is the closest to 1?  (a) -2\/9  (b) -4\/15  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 590.2 and 3.73.\nAnswer: 593.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -11861.98749 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 + 2*n**2 - 4*n - 3. Let b be x(-2). Suppose 0 = -5*j + 1 - 21, -4*w + b*j - 52 = 0. What are the prime factors of w\/(-28)*4*7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23805480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1044060 or 61599462\/59?\nAnswer: 61599462\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -57537472 - -1?\nAnswer: -57537471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o**4 + 280*o**3 - 3472*o**2 + 9344*o = 0. Calculate o.\nAnswer: -292, 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k**5 + 195*k**4 - 830*k**3 + 1270*k**2 - 855*k + 215 = 0. What is k?\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*(20\/75)\/((-3)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 PM and 7:23 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/14 + 6\/42?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 10*d**2 + 48*d - 16. Let a be o(-8). Are 239 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/79  (b) -0.2  (c) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15121 - -1168. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 3, -0.6, -0.795, -2\/3?\nAnswer: -0.795","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12261250 + 111?\nAnswer: 12261361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**5 - 28669*o**4 - 205978675*o**3 - 7174062439*o**2 + 823914716*o + 28696708460 = 0.\nAnswer: -14317, -35, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 - 2*f**2 + 2. Let h be s(-2). Let o(y) = 2*y**3 - y**2 - 2*y + 2. Let q be o(h). Calculate the highest common factor of q and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 3400?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of b**4\/114 - 2*b**3\/57 - 15*b**2\/19 + 139*b. Solve o(f) = 0 for f.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 814*r + 105736. Give c(-130).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2199.1 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(1 + sqrt(1539)) + 2 + (sqrt(1539) - (0 + 1 + sqrt(1539))) + sqrt(1539) + 1 + sqrt(1539) + 4)**2.\nAnswer: 90*sqrt(19) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1630727251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from nznzznn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1347129?\nAnswer: 3, 7, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1643 - 1275 - 2482 - 4396 - 1238)*(-2*w - 2*w + 3*w).\nAnswer: 7748*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102999?\nAnswer: 3, 13, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 142615897631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 121.3 + -121. Let i = -179 + 181. Sort l, i, -4\/3, -0.2 in decreasing order.\nAnswer: i, l, -0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2958.004917 rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 48663467 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2412 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of -m**4\/12 - 3*m**3\/2 - 5*m**2\/2 - m. Let l be n(-8). Suppose -u = -l*u + 32. Solve 0*c = 4*c + u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 935 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of k**3 - 9*k**2\/2 - 5. Let o(t) = 0. Calculate t.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1417 + 1421. Sort -1\/3, g, -2, 81 in decreasing order.\nAnswer: 81, g, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.27, -0.5, 73\/3 in ascending order.\nAnswer: -1, -0.5, 0.27, 73\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139859 is divided by 387?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3100949878 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, t: 1, j: 1, g: 1, c: 1, l: 2}. Give prob of picking 1 t, 1 g, and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes after 5:31 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21 - (5 + (-4 - -6))) + 47 + 7?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of 13*f**6\/3 + f**2\/2 + 24. What is the second derivative of n(r) wrt r?\nAnswer: 520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 0*z + 5*z)*(-z - 5*z - 2*z).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -250*q + 249*q + 2, 0 = 5*p - q - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 3:42 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 5*t**2 + 32*t + 15. Let u be j(-6). Let x be 2\/6 + (-1091)\/(-3). Suppose -4*s = -2*v - x, 194 = 4*s - u*v - 174. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**4 + 2*y**5 + 2*y**4 + (y**2 + 2*y**2 + 2*y**2)*(0 + 0 + y)*(y + 2*y**2 - y).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -449059*c + 224533*c - 15 + 224530*c. Calculate g(23).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b + 1. Let s = 10 + -3. Suppose -s*o = -2*o + 35. Let z(g) = -g**2 - 8*g - 11. Let v be z(o). Give t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (m - 3*m - m)*(-m - m + 3*m)*(5*m**2 - 40*m**2 - 14*m**2) as y*m**4 + f*m**3 + x + t*m + g*m**2 and give y.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -103 - -237. Let p = c - 120. Let s = -13.9999819 + p. What is s rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiiqiiiiiiiiiiiiii. Give prob of sequence iiq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 346006  (b) -6  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2024*j**2 - 2*j - 1. Let y(c) = -14*c - 7. What is y(q(s))?\nAnswer: 28336*s**2 + 28*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i*(i**3\/i)\/i)))**(-32))**9 assuming i is positive.\nAnswer: i**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -231*w + 28. Let q(u) = 17*u - 2. Let l(n) = -p(n) - 14*q(n). Let d(c) be the first derivative of -2*c**2 - 1. Give l(d(t)).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12124 - 14431111?\nAnswer: -14443240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1ad18 (base 16) to base 4\nAnswer: 122310120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/3 + (-8)\/(-6). Let m = k - -2. Sort 2\/7, 0.4, m in descending order.\nAnswer: m, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 94 - 91. What is the nearest to -2\/3 in 0.4, 5, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from yjbbqhhx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -7 - 7*v - 2 - 2 + 5*v. Let c be u(-8). Suppose c*o + 2*t = -0*t + 12, -t - 16 = -3*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 5*w + 25 = 0, 3*u = -17*w + 21*w + 32 - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216 = 12*d + 60. Solve 0 = 10*x - d*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0493 * 11206.\nAnswer: 552.4558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 90.570669 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a meter in centimeters?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 84 + -589\/7. Let u(w) = -w**2 - 5*w + 1. Let o be u(-5). Let y = -0.7 + 1. Which is the nearest to o?  (a) q  (b) y  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = -62*j + 300. Let z(l) be the third derivative of 1\/12*l**j + 1\/60*l**5 + 0*l + 1\/6*l**3 + l**2 + 0. Let z(q) = 0. What is q?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 364 - 361. Suppose 3*v - 5*x - 23 + a = 0, -4*v + 8 = -2*x. Solve v = -3*i + 1 + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.44 - 6.34. Let g = 513 - 513.1. Let f be -1*(7 + -2)\/1. Sort -8, x, f, g in ascending order.\nAnswer: -8, f, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -17. Suppose 2*p - g = p. Suppose -187 = -5*j + 2*b + b, -p*j + 66 = b. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2 - 2. Let p(g) = g - 1. Let l(o) = 6*o - 4. Let d(j) = -l(j) + 5*p(j). Let c(f) = b(f) - 2*d(f). Factor c(a).\nAnswer: 2*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 28 - 12. Suppose 2*n = x, -30 = -3*z - 2*z - 4*n. Solve z*f = 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 8:56 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 78*t**2 - t\/4 = 0.\nAnswer: 0, 1\/312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -4*d**5\/7 - 5392*d**4\/7 - 1235904*d**3\/7 - 60811200*d**2\/7 + 2513160000*d\/7 = 0?\nAnswer: -1074, -150, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 7*h**3 + 39*h**3 - 153*h**4 + 1539*h**2 + 3042 - 7120*h + 815*h**3 + 61*h + 36*h**3 + 6*h**5 = 0?\nAnswer: -3, 1\/2, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 9:14 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 2*m - 5*m + 2*m + 2*m + 6*m - 4*m - 4*m + (1 + 3 - 5)*(9*m + 24 - 24) - 5*m - 13 + 13.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5581 is divided by 1483?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -2*l + 40. Let i be w(9). Suppose i*p - 6392 - 362 = 0. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.14486 + 0.11514. What is the fourth smallest value in -5, -17, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/98521 or -1?\nAnswer: 1\/98521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -2\/3, -3\/11 in increasing order.\nAnswer: -2\/3, -0.5, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 6*c - 3*u - 31, -c + 4*u = -24. Let g be 3 - (-4 + c + -2). Suppose g*m + m = -5040. Round m to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -770, -789, -810, -833?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (1 - 9) + -26 + -10?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {r: 1, q: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 6*y + 3 = -2*f, -4 = -4*y + 4*f. Which is the second smallest value?  (a) y  (b) 4\/7  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 55 and 28897?\nAnswer: 144485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 7*t**2 + 8*t - 8. Let y be h(6). Suppose -l = y*l - 20, -4*q = -l + 4. Let r = q - -5. Is r less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 917407 is divided by 1204?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 333, 332, 331, 330, 329?\n\"Answer: -h + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3650 or -3934?\nAnswer: 3650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.555 + 0.255. Which is the third biggest value?  (a) -9.2  (b) -3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9912 and 14514.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2465 + 2562. Let i(a) = -a**3 - 7*a**2 + 5*a + 1. Calculate the remainder when c is divided by i(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - 15*o - 53. Let m be z(-8). Let s = -76 + 76. Solve 0 = -m*i - s*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 101*h**2 + 163*h + 50. Let d be z(-25). Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 4*y**2 + 4*y + 3. Let i be q(-2). What is the second derivative of -i*f + 2*f**2 + 7*f + 0*f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -10*d**4 - 100*d**3 + 55*d**2 + 100*d + 45. Let w(p) = -p**4 - 9*p**3 + 5*p**2 + 9*p + 4. Let i(a) = 4*j(a) - 45*w(a). Factor i(f).\nAnswer: 5*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/21 + 430\/(-1806)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7945 and 6810.\nAnswer: 47670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 + (-736 - 12\/(-3)). Let g be (1 - (-7)\/(-3))\/(98\/l). Let d be (1 + -1)\/(2 - 0). Solve d = -n + 3*n + g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 6*x**2 + 2*x. What are the prime factors of v(5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mammmmamamaammmamm. Give prob of sequence mmmm.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 9*j + 20. Let p be w(10). Suppose -5*l = -p - 5. Solve 3*f = -15, -8*m - 2*f = -l*m + 30 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-120)\/48*(-3)\/(-20). Which is the smallest value?  (a) -1\/3  (b) t  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 2 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (30\/9)\/((-2)\/(-3)). Let l(j) = -3 + 2*j - 2 + 1 - 5*j + j**2. Is 6 a factor of l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -1*(4 + sqrt(288) + 1)*6.\nAnswer: -72*sqrt(2) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**3)**(10\/7) assuming p is positive.\nAnswer: p**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {g: 6, h: 1, s: 3, t: 5, y: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 AM and 2:10 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 (base 15) in base 13?\nAnswer: 54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i*i**(3\/2)*i*i)))\/i**(2\/3)*i**(-1\/3)\/(i\/i**1) assuming i is positive.\nAnswer: i**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*p - 111 = 9*p + 489. Solve 4*b - 5*w - 11 + p = 0, 4*w = 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -10. Let c = d + -6.2. Let x = 0.3514 + 0.0486. What is the smallest value in c, 5, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*v - 20*v = -79*v - 189 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0034609816 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -19*n**2 - 9*n - 9. Let a(d) = 5*d**2 + 2*d + 2. Let b(g) = 9*a(g) + 2*s(g). Let h(k) = -27*k**2 + 58*k**2 - 34*k**2. What is h(b(i))?\nAnswer: -147*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 105194301 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lao when three letters picked without replacement from {o: 1, a: 1, l: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -5*n + 38 + 35 - 73. Let j(x) = -7*x - 6. Let p(b) = -20*b - 17. Let q(l) = -17*j(l) + 6*p(l). Calculate q(u(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/4 + 6319*x\/4 + 4737.\nAnswer: (x + 3)*(x + 6316)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3248 - -3278. What is the second smallest value in -2, h, -15, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (715\/33)\/((-2)\/24). Let h be o\/(-50) - (-1)\/(-5). Suppose j + 4 = h*j. Solve -2*f + j = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/2, -25, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32767601 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3402 - 3000. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j and 1 c when four letters picked without replacement from {i: 2, c: 8, j: 4}.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 5:51 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -235*o**2 - 105*o + 70*o + 35*o - 534*o**5 wrt o.\nAnswer: -32040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 12:36 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 1:51 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 8:25 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 1)*(25 + 10 - 8)*(w + 0*w + 0*w + (2*w - w - 3*w)*(-3 + 3 + 2) + 2*w + 0*w - w).\nAnswer: 54*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*h + 20*h**2 + 18*h**2 - 4*h**2 - 2*h**2.\nAnswer: 32*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 495021 divided by 244\nAnswer: 495021\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/11)\/g**(-2\/7))\/(g**(2\/9))**(-47))**(-2\/27) assuming g is positive.\nAnswer: g**(-14620\/18711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -349\/954, -0.04, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + m. Let q(a) be the second derivative of a**3\/3 - a. Let y(s) = q(s) - 2*v(s). Let b(h) = 10*h. What is y(b(r))?\nAnswer: 200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-30)\/(-9)*(-1 - (-85)\/25). Suppose -62 = -h*r + 610. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35012129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4049665 and 942805.\nAnswer: 4885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -11215877.84 to the nearest ten thousand.\nAnswer: -11220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = 3*w - 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39844 and 750068992?\nAnswer: 5692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 354*r**2 + 5*r + 5. Let c(u) = 3718*u**2 + 52*u + 52. Calculate -5*c(t) + 52*g(t).\nAnswer: -182*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1320?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 19*u - 6. Give s(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + 7*u**2 - u + 9. Let k(f) = -f + 9. Let i be k(6). Let z be i + (5 - (-3 + 4)). What is d(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 200*b. Let o(n) = 4912*n**2 + 4914*n**2 - 9834*n**2. Determine i(o(z)).\nAnswer: -1600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-5))\/((-408)\/510). Let c = -98\/55 + 24\/11. What is the second biggest value in 4, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v + 9. Suppose -28 = -5*j + j. What is the units digit of h(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b\/(b\/(b*b**(1\/3))))\/b)\/b)**(-7\/5))**(-1\/8) assuming b is positive.\nAnswer: b**(-7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(242) + 1 + -4 + sqrt(242)*3)**2.\nAnswer: 176*sqrt(2) + 3876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 193908 * 358\nAnswer: 69419064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b842a6 (base 12) to base 10\nAnswer: 2910366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 252 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -156.\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -8, 0, -66 in increasing order.\nAnswer: -66, -8, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-399*i - 191 - 390*i - 392*i + 1179*i)*(-5 + 3*i + 5).\nAnswer: -6*i**2 - 573*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/15962280 and -29\/3990570?\nAnswer: 15962280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/2 - 5653*x - 31956409\/2.\nAnswer: -(x + 5653)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.31 - 0.19. Which is the third smallest value?  (a) f  (b) 3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5341 + 11.5?\nAnswer: 5352.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -0.97. Let o = l - 0.024. Round o to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.566112 rounded to 2 decimal places?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, -5, 12 in decreasing order.\nAnswer: 12, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0, -4, -1.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -128*m**3 - 192.\nAnswer: -384*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -24*c - 5. Let t(l) = 1. Let a(f) = -r(f) - 6*t(f). Let p(w) = 71*w - 3. Let m(x) = 11*a(x) - 4*p(x). Is 13 a factor of m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 41 = -101. Suppose 3*k = 3*o - 1413, -k + 12 = -4*k. Suppose -133 = -8*i + o. Calculate the greatest common factor of a and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 - 79.1?\nAnswer: -79.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3531346 - -3531313.99961. Let y = h + 32. What is y rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1503 in -4, -54, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -1\/5, 4, 0.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 f, and 1 z when three letters picked without replacement from klkzylffkklo.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -868*h**3*u - 275*h**2*u - 16015019*u wrt h?\nAnswer: -2604*h**2*u - 550*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 15*k**2 + 36*k - 21. Let j be x(17). Calculate the highest common divisor of j and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14574 - 11862. What is the remainder when v is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*i + 12 = -20*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 944\/44 - (-6 + 180\/33).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1816 + 1817.229. Let o = h - 0.229. Put o, 23, -7 in increasing order.\nAnswer: -7, o, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69909823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 - 27. Let l be -25*(1 + z\/4). Calculate the highest common factor of 200 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1024659 by 113851.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17487*r + 1995 = -17430*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -135475, -135459, -135445, -135433, -135423?\n\"Answer: -h**2 + 19*h - 135493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129 = -c - 3*n, 5*c = 4*c + 5*n + 145. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -48.2 - -147.5. Let z = -99 + i. Let k = 18 + -13. Which is the biggest value?  (a) k  (b) z  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*n + 98 = 48*n - 4*u, -84 = -5*n - 3*u. What is the highest common factor of n and 372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3586 and 14?\nAnswer: 25102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 20456777 divided by -10?\nAnswer: -20456777\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -19330000 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 135 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, p: 4, r: 8, z: 2, q: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.05 + -0.45. Let n = 9.09 + -9. Let p = n - 5.09. Sort p, a, -0.5 in decreasing order.\nAnswer: a, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*k - 78*k - 4*x - 66 = -162, -17*k + 5*x = 219 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11895294619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 98193 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (18 + (-39 - (6 + -16)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -19*y + 1. Let p be b(-5). Let q = -62 + p. Let n = -18 + 30. What is the remainder when q is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142206*v - 65 - 71107*v + 65 - 71101*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/(-891))\/(36\/162)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3928 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/2  (b) 4  (c) 2  (d) 734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 98481\/10 + -9839. Let j be (-2577)\/(-10356) - (-1)\/(-4). Let f = j - 9485\/6904. Find the common denominator of l and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 + 38. Find the third derivative of 3*d**2 - d**6 - 8*d**r + d**6 wrt d.\nAnswer: -960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190082647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + -11120?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nsccscsncsc. What is prob of sequence ssc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3095 is divided by 149?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116*v**2 - 83*v**2 + 118*v**2 + v**3.\nAnswer: v**3 + 151*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 470 or 877?\nAnswer: 470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72) + 0 + 3 - (-2 + sqrt(72))**2*-3.\nAnswer: -66*sqrt(2) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - 2*o = 10*k, -o = 3*k - 10. Is 2281\/(-2*(8 - k)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 16) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -13*j**2. Let s(d) = 12*d**2 + 5. Determine z(s(y)).\nAnswer: -1872*y**4 - 1560*y**2 - 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of 11*s**2\/2 + 22*s - 5. Is n(10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 10*r**2 - 8*r - 8. Suppose -14 = 23*i - 25*i. What are the prime factors of d(i)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 v, and 1 d when four letters picked without replacement from {p: 2, x: 4, k: 2, d: 1, b: 6, v: 2}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1914200 rounded to the nearest 10000?\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of 5*i**3\/6 - 5*i. Let l(j) = j. Let x(a) = 3*a. Let h(m) = 5*l(m) - x(m). Give h(d(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*i + 9 = 6*u - 122*i, 3*i + 35 = 5*u. Solve 4*p = u*f + 28, 8 = -5*f + 41*p - 45*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -359 - 439171429945.\nAnswer: -439171430304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4792 and 18884074.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 6*x + 44. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7ad1 (base 14) to base 10.\nAnswer: -21351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1004\/3 + 326. Let i = u - -76\/9. Let k = -27 - -109\/4. Which is the nearest to 1\/4?  (a) 0  (b) i  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - -3*(sqrt(7) - sqrt(112))) + 2.\nAnswer: -8*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 3*p - 37, -5*p - b + 7056 - 6997 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1240 + 1237 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1528793 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**5 + 4*q**4 + 160*q**3 - 448*q**2.\nAnswer: -4*q**2*(q - 4)**2*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6132806 or -6132813?\nAnswer: -6132813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 314939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -1.03, 31, 25\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2 = -7. Let d = -18 - -14. Let x be (d\/63)\/(18\/(-21)). Which is the smallest value?  (a) x  (b) s  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 2 + 22 = 0. Solve -t*q + 4*i = 0, -5*q + 4*i - 7 = -2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-20)\/v)**(1\/14)\/((v\/(((v**(-3\/31)*v*v)\/v*v)\/v))\/(v**(10\/9)\/v)))**(-37\/5) assuming v is positive.\nAnswer: v**(30673\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -172.0052 - -172. What is q rounded to 4 dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 + 14. Suppose -y + 19 = -8*w. Solve 0 = -5*a + q - 24, 24 = -4*a + w*q - 0*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 123 + -49. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*b + 74*b - 532300 = 133*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*t = 4*c - 14*t - 4388, 2*c - 4*t = 2194. Suppose -3*n - 1043 = -c. What is the highest common factor of n and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 284\/7?  (a) -0.44  (b) 6  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 4) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 819 and 1039857.\nAnswer: 3119571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000091163711 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 12*s = -13*s + 55, 6*b + 4*s + 104 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/(-6)*16\/6. Suppose 3*i + t*l - 37 = 0, -i + 50 = 3*i + 5*l. Let j = 12 - i. Sort -4, -0.1, j.\nAnswer: -4, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.7186 - -606.4814. Let l = 607 - h. Which is the biggest value?  (a) -12  (b) l  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 + 21.2. Which is the closest to y?  (a) 0  (b) 1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -163  (b) 0  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/44348?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s + 5*s + 7*s + 2*s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + y. Let g(w) = -w**3 - 7*w**2 + 7*w. Let t(n) = 3*n - 16. Let o be t(6). Determine o*g(i) - 14*r(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 490016496 to the nearest integer?\nAnswer: 22136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 2*s - 94 = 4*y, 0 = -y + 2*s - 43. Let r = -133 + 102. Let p = r - y. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 + 29. Let h = u - 5. Let n = 2 - 0. What is the greatest common factor of h and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of 5 + 0*i + 0*i**2 - 11\/3*i**3. Let p(h) be the third derivative of -h**4\/12 + 2*h**2. What is w(p(g))?\nAnswer: -44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 4*d - 36, -u + 1 + 1 = 0. Suppose 4*i = 2*i + 12. Suppose 4*p = i + 6. Sort -1, -4, d, p in increasing order.\nAnswer: -4, -1, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 + 2 - (-22 + 60).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 81.088 from 331.38295.\nAnswer: 250.29495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/6, 2\/3, -0.5, -0.045353, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10024250 - 102?\nAnswer: -10024352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from qqppapqpa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 + -315. Let s be 4\/6 + v\/(-6). What is s rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3 - 50*f**2 - 336*f - 288.\nAnswer: -2*(f + 1)*(f + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246947?\nAnswer: 246947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176 = 314*m - 298*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1289 + -0.1711. What is the closest to 0.3 in 0, z, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/(-14) + 8265\/133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 34\/6 + 6\/(-9). Let j = -5 - -6. Suppose s = 3*d + g, -j = -4*s + 3*s - d. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 227 - 222. Let s = -1003\/11 - -91. What is the second smallest value in 0.1, s, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 + -6)*-1 - 0. Solve -3*q = -0 - n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -904.3 rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6719 - -6719. Let u(i) be the third derivative of 0*i**3 - 36*i**2 + 1\/60*i**6 + 1\/6*i**4 - 1\/10*i**5 + 0*i + y. Solve u(d) = 0 for d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6185 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*r - 15094 = 0, 2*q = 5*q - 2*r - 45260. Let a = 271669\/18 - q. Find the common denominator of a and 11\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211020 plus -0.1?\nAnswer: 211019.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 250*p - 265*p = -245505. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = 2*k - 6, -x + k = -2. Suppose -5*f + 6 = -z + 19, 4*z - x*f = 22. Suppose z*i = -5*j + 67, 2*j - 5*j = 3*i - 63. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 2*r - 0*r + 5*a, -4*a + 24 = r. Suppose -3*v = -53 - r. Let p be 50\/275 + 1410\/110. Solve y - p = 4*j, j = 6*j + y + v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r - 15 = 29. Suppose -12 = -2*t - r*v, -t + v + 15 = -0*t. Let o(c) = -c**2 + 16*c - 11. Calculate the remainder when 144 is divided by o(t).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2106*i - 5. Is o(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4148, 4142, 4136, 4130?\n\"Answer: -6*b + 4154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -29099*a*p**4*w - 22*a*p + 15*p**5*w + 52906*p**2*w wrt p?\nAnswer: -698376*a*p*w + 900*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71005 is divided by 11828.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t**3 + 4*t**2 + 3*t + 4. Let s be ((-39)\/(-26))\/(1\/2). Let x(b) = -2*b**3 + 3*b**2 + 2*b + 3. Determine s*v(y) - 4*x(y).\nAnswer: 2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 114296 and 114354 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*m - 3 - 7. Let p(b) = b**2 - 3*b - 4. Let n be p(4). Let s = 1 - n. Calculate the remainder when m is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - ((-18 - -35) + (-13 - -1))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from 4077918.424.\nAnswer: 4077913.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y**2. Let i(x) = 15*x**2 + 2*x. What is i(v(b))?\nAnswer: 60*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 39765 and 2269256.\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4109 and 220125.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -76.44 and 88300270?\nAnswer: 88300346.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 - 2*b - 2. Let c be z(-4). Let j(i) = 41*i**2 - 11 + 9*i + 37*i**2 + 36*i**2 - 113*i**2 - 2. Calculate j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 3*x**2 + 11*x - 4. Let i be n(-4). Let p(r) = -r**2 - 4*r. Let f be p(-4). Solve f = -i*a + a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = 5*j - 1895. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30.0149 times 16\nAnswer: -480.2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102440288 is divided by 794.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 67 in 1\/7, -46, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7886*(-1)\/(-4))\/(4\/8). Let w = r + 23737\/6. Find the common denominator of 38\/9 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 912849756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 5*v - 1380, 0 = 3*v - 5*z - 523 - 315. Let a = 171 - v. What is the units digit of 75\/a + 307\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*d - 4*d + d - d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-5)\/(60\/(-8)))\/(2\/30). Let p = 11 + -8. Suppose -n - p + 23 = 0. What is the greatest common divisor of n and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2070 is divided by 77.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 8625*i - 86238. Calculate a(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wywybttcwbeb. Give prob of sequence yyeb.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1386 equal to 3944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -22941356*t**3 - 1537968*t**2 - 34368*t - 256 = 0.\nAnswer: -4\/179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 692, 669, 630, 575?\n\"Answer: -8*f**2 + f + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26474 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 3*j - 15, 0*j - 4*j + b + 15 = 0. Suppose 2*z + 3*z = m - 19, -j = -m + 2*z. Let r be 147\/(-28) - -5 - m\/(-8). Is -1\/7 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of -t**4\/24 + 41*t**2 - 9. Let g(c) = 2*c. What is 3*g(h) + 5*i(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 12:57 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*u**2 + 22*u + 14 - 12*u**2 + 49.\nAnswer: 11*u**2 + 22*u + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25775\/98 - 263. Let i = 199\/294 - v. Let l = 118 - 122. Which is the nearest to i?  (a) 1\/2  (b) l  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 661794780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**5\/5 - 18*f**4\/5 - 26*f**3\/5 + 18*f**2\/5 + 28*f\/5 = 0 for f.\nAnswer: -7, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 151338\/154 - (-4)\/14. Let m = l - 247. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 - 18*m + 16. Let b be j(-16). Suppose -b + 20 = -7*w. Let f = -18 + 21. Solve w*q + 3 = f*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2896 divided by 6.\nAnswer: 1448\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -257 - -842. Calculate the remainder when u is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1609214*j - j**3 + j**2 - j**2 - 1609214*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/(16\/(-4) - -6). Solve 10 = -y*f - 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f**(-3\/2)\/f)**(-1\/12) assuming f is positive.\nAnswer: f**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 78619438 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1064159 is divided by 247.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (-5 - (1 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10793\/120 - -452\/5. Is k at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - q**2 - q - 1. Let p(n) = 6*n - 3*n**3 - 3*n**2 - 2*n**2 + 2 + 9*n**2. Let i(b) = -b**2 - 2*b + 4. Let a be i(0). What is a*g(t) + p(t)?\nAnswer: t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39582*u - 40435*u = -36679 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 71 = u. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -8*q**3 - 781*q**2 + 225*q - 6748. Give s(-98).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 768 = 6*j - 2034. Suppose -j = -3*l + 6142. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3538162*o**3*t*z**3 - 4*o**3*t*z - 3*o**2*t*z + 25*o**2*z**2 + 3*o**2*z - 17*o*t*z**3 + 49 wrt o?\nAnswer: -21228972*t*z**3 - 24*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + u)*(0*u**4 - 3*u**4 + 0*u**4) + (0 - u**4 + 0)*(-4*u + 4*u + u).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -107*0.12\nAnswer: -12.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) -7.007  (b) -32  (c) 2\/13  (d) 2\/5  (e) -1\/48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -3*a**5 + 69*a**4 + 1221*a**3 - 3081*a**2 - 9534*a - 5304 = 0.\nAnswer: -13, -1, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 1 - 7 = 2*a, -d = 3*a + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 10) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -32\/26109873 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of i**5\/15 - i**4\/12 - 5*i**3\/6 + 14*i**2. What are the prime factors of k(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*t + 833 = -44*t. Suppose 2*g - o = t, -2*g - 65*o + 115 = -70*o. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -10*f**3 + 3*f**2 + 3*f - 3. Let r(u) = -161*u**3 + 49*u**2 + 49*u - 49. Calculate 98*o(v) - 6*r(v).\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.41309332 to four decimal places.\nAnswer: -2.4131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {q: 5, e: 5, d: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4927*l*p**2*v**3 - 250*l*p**2 + 3*l*p*v**3 + 2*l*v**2 + p*v**3 - 14*p*v + 91*p wrt p.\nAnswer: 9854*l*v**3 - 500*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 75 = q - 5*u, 2*q - 28 = -4*u. Suppose -3*d - d - 72 = 3*a, 4*d - 2*a = -52. Let w = d - -22. Calculate the remainder when q is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 270 = -29*p + 7*p - 8*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -0*z + 2*p, 0 = -3*p + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of j**8\/5040 - j**6\/360 + j**5\/30 - 3*j**2. Let p(b) be the third derivative of a(b). Differentiate p(s) with respect to s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4676 - 2340 + 4006 - 2*s - 1495 - 4250.\nAnswer: -2*s - 8755","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3630, -7257, -10860, -14427, -17946, -21405?\nAnswer: -24792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2, -16, -46, -98, -178, -292, -446?\n\"Answer: -n**3 - 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 PM and 2:56 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 10*o - 4*v + 6 = 0, 3*v = 0. Let f = 5\/17 + -37\/68. Which is the nearest to f?  (a) o  (b) -2\/3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {g: 1, o: 5, k: 4, a: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 divided by -10.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -11*g + 8. Let v(l) = -5*l + 4. Let x(b) = -4*r(b) + 9*v(b). Let t = -5 + 10. Let m be x(t). Put -2, -5, m in ascending order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -u**8\/10080 + u**7\/840 - u**6\/180 + u**5\/20 + 3*u**2. Let a(o) be the third derivative of w(o). Factor a(n).\nAnswer: -2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.14?  (a) 5  (b) -0.5  (c) -2\/3  (d) -6\/373\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 19*l - 41. What is the hundreds digit of y(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 120016 and 700960?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12 - 10)*118\/4. Let d = -70 + k. Which is smaller: d or -9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the third derivative of -z**5\/60 + 5*z**4\/24 - 5*z**3\/6 + 358*z**2. Determine g(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/3 + 40688*a**2\/3 + 203353898*a\/3 - 12208661396.\nAnswer: 2*(a - 174)*(a + 10259)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of -5*y**7\/6 - 23*y**3\/6 + 2*y + 26. What is the second derivative of s(t) wrt t?\nAnswer: -700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + 10*w - 5. Let v be h(5). Solve -2*b + y - 8 = -1, v = -4*b - 4*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-4) + 10\/(-4). Let v(r) be the second derivative of -r**5\/10 - 5*r**4\/12 - r**3\/2 - r**2 - 172*r. Let b be v(y). Solve 0*j - 4*j + b = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 12695?\nAnswer: 50780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -24917348 times -0.02\nAnswer: 498346.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-20)\/(-4 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/4 + 93*b**2\/4 + 2691*b\/4 + 22815\/4.\nAnswer: (b + 15)*(b + 39)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 923231 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {t: 3, p: 2, g: 3, n: 1, m: 5, i: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34250?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + 201 - (4 - 6). Let w = -173 + i. Calculate the highest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from udddwdindididu. What is prob of picking 1 u and 1 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100 - -12033?\nAnswer: 11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-2\/5))**18*(((a**(-7\/5)*a)\/a)\/a*a)\/((a**(-2\/17)\/a)\/a) assuming a is positive.\nAnswer: a**(2203\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -z**5\/54 - 53*z**4\/108 + 22*z**3\/27 + 261*z**2. Factor a(r).\nAnswer: -2*(r + 11)*(5*r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 4*w = -477, -x - 262 = -5*w - 443. Which is the third biggest value?  (a) x  (b) -1\/4  (c) -0.8  (d) 3\/8  (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1874754, 1874755, 1874770, 1874805, 1874866?\nAnswer: 1874959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -13, 3\/8, -3.14?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 374.4174 + -372.97739923. Let u = l - 1.44. What is u rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 + 20. Which is the nearest to 0?  (a) 4  (b) 2\/17  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -64, -277, -644, -1177, -1888, -2789, -3892?\n\"Answer: -2*q**3 - 65*q**2 - 4*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 2*j - 1784 = -1808, 0 = d - 11*j - 132 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13*a*y**2 + 21*a + 537*y**2 - 10*y wrt a.\nAnswer: 13*y**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 59, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 2*l + l)*(-66 - 66*l - 15 + 80).\nAnswer: 66*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -143 (base 6) in base 2?\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 1.1, -0.1, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 97.70898l?\nAnswer: 97708.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8442363?\nAnswer: 3, 883, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + 1)*(3 - 4). Let m(z) = -z**3 + 2*z**2 - 1. Let w be m(v). Suppose -l + 3*l - 106 = w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -139920 divided by -4?\nAnswer: 34980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 372.35 - -8.65. Let l = -384.01416 + 3.45616. Let k = t + l. Round k to two dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -p**3\/3 + 5*p**2\/2 - 3*p + 2. Let k be v(3). Suppose k*s = 0, z + 2*s - 55 = -2*s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -459, -883, -1227, -1491, -1675, -1779, -1803?\n\"Answer: 40*n**2 - 544*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*(-3)\/9)\/(8\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 188 and 13536.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*1*sqrt(117)*-1)\/((2*sqrt(72))\/sqrt(2)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 343014 (base 6) to base 3\nAnswer: 1111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 2*d = 2*d, 0 = 3*i + 5*d. Suppose -3*j - 2*j = -2*v - 9, 4*v - 12 = i. Let b be 1\/(-2)*(3 - j). Which is smaller: b or -1\/86?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14473 + 0*m - 2968*m**2 - 10574 + 28730 + 0*m wrt m.\nAnswer: -5936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1448046444 and 13572.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9858155 divided by 155.\nAnswer: -63601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 16952*z**2 + 46*z + 39. What is the tens digit of u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -19748745, -39497484, -59246223, -78994962, -98743701?\n\"Answer: -19748739*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -60914 divided by -266\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4\/7  (b) 6\/7  (c) 1.08  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 9 = -c, -3*g - 28 = -4*c - 5*g. Solve 0*d + 4*d + 16 = -5*q, 3*d + 12 = c*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, 4, -25, -139 in ascending order.\nAnswer: -139, -31, -25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1984611194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 5, u: 15}. Give prob of picking 2 k.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/7 + 281*v**2\/7 - 40*v.\nAnswer: -v*(v - 280)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 159 a factor of 236115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from iikskikikkkiskkkki.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -245 = -19*q - 150 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 4*h**3 - 65*h**2 + 18*h - 38. What is l(16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -14, -241, -668, -1337, -2290?\n\"Answer: -7*u**3 - 58*u**2 - 4*u + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 - (-4*2 - 0). Let i = -7 - -10. Solve -10 = -2*s + y*b, -s - b = -i*s + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (2 - 12)) + -5*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of -1\/30*z**5 + 2\/3*z**3 + 0 + 11*z + 19\/2*z**2 + 1\/12*z**4. Let o(x) be the first derivative of s(x). Factor o(r).\nAnswer: -2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22.37 times 2\nAnswer: 44.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 7*g**2. Let s(k) = 14*k - 2. Let v(j) = 7*j. Let c(f) = 3*s(f) - 5*v(f). Give c(x(q)).\nAnswer: 49*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6359770 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -332 + -451367.2358?\nAnswer: -451699.2358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -4  (b) 0  (c) 0.8  (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 5*g - 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1867, -3734, -5599, -7462, -9323, -11182, -13039?\n\"Answer: s**2 - 1870*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 122 + -136. Let q = s + 20. What is the remainder when 9\/12 - 471\/(-12) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q + 1. Let r(w) = 2*w**2 - 2*w + 1. What is -3*c(j) + 2*r(j)?\nAnswer: 4*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -200.51283 + 200.5. Let d = -2.687 + 2.7. Let p = d + f. Round p to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.133 - -0.219. Let x = -0.802 - r. Round x to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 7 = -3*y. Suppose 0 = -y*b - 2*b + 40. Suppose 3*c - 5 = b. Solve -28 = c*j - 2*s, 0 = 3*j + 2*s + s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-40)*17174\/(-77283)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -4*m + 1. Let u(q) = 23 - 28 + 11*q + 10*q. Calculate -11*g(w) - 2*u(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 455247084 to the power of 1\/3, to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 - 12 - 12 - 2*v + 152*v**4 + 11 to the form m*v**3 + f + y*v**2 + p*v + q*v**4 and give q.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from ovovwwvowvvdwww?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102200211 - -1211022?\nAnswer: -100212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3539*r - 48. Is s(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 95*f**5*n**3 + 444*f**2*n**3 - 443*f*n + 30*f - 2*n**3 + 2 wrt f.\nAnswer: 1900*f**3*n**3 + 888*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4\/19 - 82\/209. Let x = n - -54\/55. Which is the fourth smallest value?  (a) 3  (b) x  (c) 4  (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*l**5 + 4*l**2 - 70.\nAnswer: -840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 j when three letters picked without replacement from {t: 7, m: 3, j: 4}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2 + 33 - (-4 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2+-2.42716\nAnswer: -4.42716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2131 - 42468 = 984*n - 5897 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 12961.54 from -3.65.\nAnswer: -12965.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 151354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -17 + 20 + (-5 - 25)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16666 - 9489. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5651062*t**3 + 40398*t**2 + 3*t - 2 wrt t?\nAnswer: -33906372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010421 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*u - 47*u - 12*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/30*-18*(-580)\/288*-18.\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/193, -0.09, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -17 + 8 - (0 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*m - 224 = -m. Solve 0 = -7*n + m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 25 - -6 - (-2 - -3). Calculate the highest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/7))**(-2\/13) assuming r is positive.\nAnswer: r**(4\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 641 is divided by 155.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.132161311 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 7:14 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 72003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 50 + -35. Let y = -26 + u. Let a = 21 + y. What is the remainder when 19 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -53222 bigger than -53220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46856754143.99999829 - -46856753886. Let a = 258 + s. What is a rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 53*j - 88*j + 46*j as z*j + p and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3265*o**2*y**3 - 3*o*y - 259807*y**3 wrt o.\nAnswer: -6530*o*y**3 - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 6*t**2 + 5*t - 2. Let n be d(-3). What is the highest common divisor of 74 and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 + 6 = 5*c. Let z = 27\/2 - c. Let 3\/2*d - 1\/2 + z*d**3 - 3\/2*d**2 = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/8 + 42\/8. Let j be -18*2*3\/(-18). Let b(r) = r**2 + 3*r + 1. Let h be b(j). What is the highest common divisor of x and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59603981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2200 + -112?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.2493 to two decimal places.\nAnswer: -4.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of -723 and -141265.\nAnswer: -141988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 152, 622, 1416, 2534, 3976?\nAnswer: 5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2 and 178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 424770*f**3 + 42*f**2 - f - 95779817 wrt f?\nAnswer: 1274310*f**2 + 84*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*x + 0 + 4 - 6)*(-1 + 1 - 2*x**3).\nAnswer: 14*x**4 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k + 4. Let f(d) = 1. Let j(q) = -4*f(q) + w(q). Let u(p) = 5*p. Give u(j(s)).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -669, -2684, -6045, -10752, -16805, -24204, -32949?\n\"Answer: -673*h**2 + 4*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 46*u - 75. Let y be q(3). Let b = y + 114. Is b at most as big as 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tpkokdkdppkka. Give prob of picking 1 p and 2 d.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146104524?\nAnswer: 2, 3, 239, 16981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-200))\/(-5*8\/(-160)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*g = 131*g + 4843. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 299, 325, 343, 347, 331?\n\"Answer: -d**3 + 2*d**2 + 27*d + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -129 (base 13) to base 6.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 11043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3741 - -1653.3741. Let u = -1668.39 + w. Let b = 2.71 - u. Round b to zero decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of -35*a**2 - 5\/48*a**4 + 0*a + 25\/24*a**3 + 1\/240*a**5 + 0. Factor o(k).\nAnswer: (k - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 2*q = 3*n + 16, 3*n = -q + 8. What is the units digit of (q\/10)\/((-26)\/(-455))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7148 times 0.3?\nAnswer: 2144.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*i - 4*i + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/10*1*-10. Let g(b) = -b**2 + b + 4. Let u be g(-2). Sort 1, m, u in increasing order.\nAnswer: u, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.23 times -13?\nAnswer: -2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of 4*b**7\/105 + 13*b**6\/60 + 11*b**5\/30 + b**4\/6 + b**2\/2 - 2*b. Let n(g) be the first derivative of s(g). Factor n(c).\nAnswer: 2*c*(c + 1)*(c + 2)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 7*u - 7. Let k be g(6). Let i(h) = 4*h**3 - 3*h**2 + 2*h - 5. Let t(p) = p**3 - p**2 - 1. Calculate k*i(j) + 3*t(j).\nAnswer: -j**3 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 + 61*o**2 + 57*o - 81. Let c be v(-60). Solve -b + c = 100 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 + 13*c - 95. What is the remainder when 2879 is divided by u(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 1218*c + 121. Is g(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12763, 25529, 38295?\nAnswer: 51061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 3967?\nAnswer: -3963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-152)\/40 - 8\/(-10). Let u be 2\/r*3 + 5. Suppose -q + 640 = u*q. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(2*sqrt(96) + sqrt(96)) - sqrt(96))\/sqrt(4))\/(sqrt(192)\/(sqrt(20)\/sqrt(5))).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -35866007 or -35866005?\nAnswer: -35866005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*n = -45*n + 4*s + 36, -5*n - 21 = -3*s for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 8 + 29 + (165 - 174).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1292879641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 5*v + b, -v - 10 = 5*b - 29 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -84033263 and -84033264 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-6) + (-2)\/8. Let a = 0.13 - 0.53. What is the closest to h in 1, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -s**6\/360 - s**5\/30 + s**3\/6 - 3*s**2. Let z(p) be the first derivative of n(p). Give z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 8) + 1 + 5 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1666*t**3 - 90*t**3 - 652*t**3 + 5982*t**3 + 6295*t**3 - 4.\nAnswer: 13201*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 5*w = 265, w + 92 = a + 33. Suppose 3*n - a = -l, 0 = -5*n - 0*l + 3*l + 98. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 5*m + 28, 0 = -4*o - m + 2*m + 22. Suppose 0 = -o*z + 177 + 21. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 15605*q - 109188. Calculate x(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34 and 26928.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -110000011111001111 (base 2) in base 10?\nAnswer: -198607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 7*f = 26*f - 310 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1004694.\nAnswer: 2, 3, 167449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 5.\nAnswer: -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**2 + 10\/3*i**3 - 8\/3*i + 2\/3*i**4 - 16\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25639 - 25635. Solve a*y = -5*r + 33, -19 = -2*y - 37*r + 34*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3728 divide 297535408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -11, -1\/7, 2 in ascending order.\nAnswer: -11, -1\/7, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1510\/23, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tzvuuajtjjjuj. What is prob of picking 2 t and 2 u?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**2 - 5*n + 16. Let q be m(3). Let l be -1*9\/12*q\/2. Let b = 2 - -1. Solve 5*w = 4*k - 7, -3*k + l = -b*w - 0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1698*m**2*p**2*u - m**2*p*u**2 + 2*m**2*u - 14*m*p**2 - 2*m*u**2 - 110*p wrt m?\nAnswer: -3396*p**2*u - 2*p*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7\/8 of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*s**4 + 3754676*s**3 - 1877316*s**2 - 9386672*s - 3754672 = 0. What is s?\nAnswer: -1, -1\/2, 2, 469334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of 7*r**5\/60 + 2*r**2 + 21. Let d(t) = -21*t**2. What is -8*a(o) - 3*d(o)?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(336) + (sqrt(336)*1 - sqrt(336))*6)\/sqrt(8))\/((sqrt(162)\/sqrt(3) - sqrt(54)) + sqrt(54) + (sqrt(6) - sqrt(24))*5).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(2448) + 1 + 5 + sqrt(17) + 1*sqrt(17) + sqrt(17).\nAnswer: 3 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**4 + h**2 - h - 2. Let i(k) = -228*k**4 + 5*k**2 - 5*k - 481. Let x(u) = -i(u) + 5*t(u). Find the first derivative of x(l) wrt l.\nAnswer: 932*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*c + 15*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of s**6\/9 + 8*s**5\/15 - 28*s**3\/9 - 17*s**2\/3 - 4*s + 1246. Factor p(r).\nAnswer: 2*(r - 2)*(r + 1)**3*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 + -31. Let l(t) = -t**2 - 5*t - 3. What is l(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13 + 2*i**2 + 150 - 19)*(-4*i + 0*i + 5*i + 2) to z + p*i**3 + b*i + r*i**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -14976 < -14922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*35\/(-1372)*49\/(-14)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, d: 4, y: 7, q: 3, s: 3}. Give prob of sequence ddyd.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -0.3  (b) 2\/17  (c) 487  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 39*n**4 - 303*n**2 - 14390*n wrt n?\nAnswer: 468*n**2 - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 3*z - 4*y - 20, -3*z = 4*y + 20. Suppose z*u = -4*u + 16. Suppose -2*j = 5*c - 20 - 20, u*c + 2*j - 30 = 0. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*d + 8*d + 24. Let q be (-2 + 15\/d)*8. Solve 5*x + f = 3*f - 11, -q*f = -x + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 + -5 + 783 - (1 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(4 + sqrt(13)))**2 + (-3*sqrt(65))\/sqrt(5) + (-3*(sqrt(52) + sqrt(468)))\/(sqrt(24)\/(sqrt(6)*-1 - sqrt(6))).\nAnswer: 464 + 149*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -62 by 7745930.\nAnswer: -31\/3872965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -3*s + 18*s**2 + s - 3 - 10 - 3*s - 4*s. What is the hundreds digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by -36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5710, -10841, -15972?\nAnswer: -21103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 26 + 17 - 10*h - 53 - 4*h**2 + 5*h**2. What is the remainder when i(-7) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -112*u + 562. Let r be t(5). Sort r, 5\/2, -4\/5, -2\/5 in decreasing order.\nAnswer: 5\/2, r, -2\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3\/7  (b) -2\/15  (c) -2\/5  (d) -0.99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 476396995 is divided by 6450?\nAnswer: 6445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(4\/7)*c**(-1))\/((c**3*c)\/c**(-2\/3)))\/(c*c**3*c\/c**4)**36 assuming c is positive.\nAnswer: c**(-863\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -4*y + 7. Let f be i(-8). Let z = f - 27. Suppose -z - 4 = -4*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 6. Let z = -2 - a. What is the third smallest value in 4, z, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1702 is divided by 235?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 135 + -108. Let h(s) = 6*s**3 - 55*s**2 - 5*s**3 + 27*s**2 + z*s**2 - s. Let v(q) = q**3 - q. Let p = 3 + -6. Determine p*v(l) + h(l).\nAnswer: -2*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/221?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-8) - 14\/8. Suppose 4*w + 65 = -7*x, 15*w - 11*w + 2*x + 30 = 0. Sort -7, w, j in increasing order.\nAnswer: -7, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1357466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 6*c - 5, 3*m = 2*c + 191. Suppose 0*b - k + m = -b, 2*b + 3*k = -126. Let r = b + 119. Calculate the remainder when r is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121833306 + -50?\nAnswer: 121833256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 26 = 114. Let g be 3\/(-6)*j*-1. Suppose 2*v - 49 = -r, 42 = 2*v + 5*r - g. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/11, -4\/17, 2\/79?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 964292173 to the power of 1\/3, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 a factor of 22626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*m**2 + 0*m**2 - 45*m**3 - 28*m**3 + 2*m**2 wrt m.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by -18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 378*s**4 - 18*s**2 - 2*s - 105. Let p(i) = -189*i**4 + 8*i**2 + i + 53. Let o(h) = -9*p(h) - 4*z(h). What is the second derivative of o(c) wrt c?\nAnswer: 2268*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 4*h**2 - 4*h - 3. Let s be q(5). Let v be ((8\/(-2))\/s)\/(27\/(-81)). Is v >= 16\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 5106*a - 8 - 11 + 3955*a.\nAnswer: 9061*a - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -7823, -15984, -24507, -33572, -43359, -54048?\n\"Answer: -30*p**3 - p**2 - 7948*p + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 30773 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**2 - 2*g**2 + 0*g**2)*(1 + 48*g - 59*g - 3 + 12*g**3)*(-5 + 2 + 1).\nAnswer: 72*g**5 - 66*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -51102c2 - 3?\nAnswer: -51102c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*q**2 - 120*q**2 - 2499*q**2 - q**2 - 45*q**2.\nAnswer: -2602*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -2*q**4\/7 - 4048*q**3\/7 - 1811982*q**2\/7 + 35131096*q + 247725608\/7 = 0.\nAnswer: -1066, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 5523*i**2 - 8*i + 24. Let o(w) = 1841*w**2 - 3*w + 9. Determine 3*c(r) - 8*o(r).\nAnswer: 1841*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 6:38 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1491.6ml?\nAnswer: 1.4916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 5 + 3. Suppose -2*t = -4*u - 566, -t = -w*t - 3*u + 293. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55 + -49. Let o = -33.5 + 27. Let l = o + s. Which is the third biggest value?  (a) l  (b) -2\/5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1680 - 1680.02462. Round i to 4 dps.\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 - 4. Let d be k(0). Let n = 1.1 - 1. Sort n, 2\/7, d in decreasing order.\nAnswer: 2\/7, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*y + 38 = 7*y + 3*v, 4*y - 63*v + 97 = -62*v for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 286539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 198*z**2. Let w(n) = -11*n + 45*n - 15*n - 17*n - 13*n. Calculate l(w(h)).\nAnswer: 23958*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*c - 20 + 43 + 177 = 0. Solve 0 = z + c*h + 3, 0 = 10*z - 7*z + 4*h - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + 11*x**2 + 9*x - 6. What are the prime factors of p(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 338083 and 375809?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.324 + 4.1. Let t = z + 0.502. Round t to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -716033, -716043, -716065, -716105, -716169, -716263?\n\"Answer: -p**3 - 3*p - 716029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1299 divided by 103\nAnswer: 1299\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 15*q + 21. Determine g(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 7*w + 9. Let h be l(-9). Let z be 1\/6 + (-99)\/h. Solve -v = 2 + z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/10 + 1536\/(-40). Let m = 43 + h. Suppose 4*k + 7*g - 5*g = 14, -m*k + 23 = 5*g. Solve -3*s + 1 = -k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 AM and 3:54 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t**2 - 5*t**2 + t**3 + (-2*t**2 + 2*t - 2*t)*(1 - 1 + t))*(-44 + 6*t + 44).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 39\/2321510 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*p - 64 = 6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 + 87*w + 196. Let p(s) = -s**2 - 44*s - 97. Let k(a) = -3*i(a) - 5*p(a). Let m be k(-38). Solve -1 = -5*x - m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 177 + -134. Which is the closest to u?  (a) -2  (b) 3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8675110109 to the power of 1\/2, to the nearest integer?\nAnswer: 93140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.19 in -6729, 1, -73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1886 divided by -4\nAnswer: -943\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 9 + 9 - 14*t.\nAnswer: -14*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3488 + 3490. Let m(l) = 4*l**3 + l. Let k(w) = 4*w**3 + w. Suppose 5*z = z - 92. Let h be z\/7 + (-2)\/(-7). Give h*m(g) + j*k(g).\nAnswer: -4*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54 + 91. Suppose 14 = 2*g - 5*a - 61, -g = -3*a - p. Find the second derivative of g*i**4 - 4*i - 30*i**4 - 3*i wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 826464.\nAnswer: 2, 3, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 4*x**5 + 40*x**4 + 88*x**3 + 16*x**2 - 92*x - 56 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*b + 3*b, -3*j + 108 = -2*b. Suppose 5*s - j = 11. Is (-4)\/12 + 1146\/s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.667 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of -7\/6*v**3 - 8*v + 1\/3*v**4 + 0 + 2*v**2. Let l(y) = 0*y**2 - 2*y - 3 + 2*y**2 + 4 - y**2. Determine 22*l(f) - 6*r(f).\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8740.226s?\nAnswer: 8740226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -576 + 56*s**3 - 371 + 82 + 6*s + 103 wrt s.\nAnswer: 168*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of -t**4\/6 + 6*t**2. Let h(w) = -4*w. Give h(x(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 3) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 16 = 73*p - 69*p, 2*m + 11 = 3*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5392976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 7*c**2 + 2. Let l = 4 - 10. Let n be s(l). Let g = 49 + n. What is the remainder when g is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**1)**(-11)\/(i**0*i*i\/(i**(-2)*i*i)*i) assuming i is positive.\nAnswer: i**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 5, x: 5, e: 2}. Give prob of picking 1 v, 1 e, and 1 x.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37987 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -3*g + 30, 2*g - 4 - 16 = 4*t. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 73451271?\nAnswer: -73451272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x**2 + 6*x - 2. Let f(d) = -d**2 + 5*d - 2. Let c(a) = 5*f(a) - 4*g(a). Let s(j) = j - 6. Suppose 19 + 1 = 5*u. Let z be s(u). What is c(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -174*s + 4*z + 30 = -169*s, -3*z = -5*s + 35 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((0 + 1)\/(5 - 6))\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18 - -22. Suppose p*y + 64 = b + 3*b, 5*b - 3*y = 84. What is the second derivative of 20*r - 2*r**5 - b*r - 16*r**5 wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 + -0.3. Let f = g + 0.6. Let y = -3532 - -3531.6. Which is greater: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -122 + 240. Suppose -f = 4*n - o, 0 = -5*n + 8 - 33. List the prime factors of f.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -5. Suppose 0 = -t + p*t - o + 1, -o + 6 = t. Let z = 22 - t. Calculate the remainder when z is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 38*p**2 - 36*p + 516. Let w be i(30). What is the greatest common divisor of 60 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -30 - 30203302120?\nAnswer: -30203302210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 111.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z + 7*z + 0*z)*(-4 + 4 + 2*z**2)*(3 + 6 + 8) + z**3 - 5*z**2 + 5*z**2.\nAnswer: 103*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/45)\/(1\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u**4 + 36*u**3 + 63*u**2 + 30*u = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 divided by 54866?\nAnswer: -9\/54866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 22 - 42957?\nAnswer: -42935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + 12, -4*m + 13 = -z + 2. Suppose z*w + 6*k - 5 = k, -3*k = -2*w + 12. Solve -w*p - f = -2*f - 2, -5*f + 26 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of -p**4\/24 + 133*p**3\/6 - p**2. Is l(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -o**4\/4 + 5*o**3 + o**2\/2 + 6*o + 4. Let g be p(15). Suppose -t = g - 75. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25 - -24.8. Let z be -1 + (-348)\/(-234) + (-1)\/3. What is the closest to 1\/4 in q, 2\/11, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*j**2 + 0*j**2 - 3 + 3*j**2 + 4 to l + w*j**2 + v*j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46509789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 213 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-30)\/20*(-8)\/6. Suppose -x*l - 17 + 129 = 0. Let m be ((-40)\/8)\/(40\/(-336)). Calculate the highest common divisor of l and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10959772589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -i**7\/42 + 3*i**6\/10 - 6*i**5\/5 + 4*i**4\/3 + i - 5. Let f(x) = 0. Calculate x.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 271003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 2500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 105*o - 210. Let c be w(2). What is the closest to -4 in 3\/5, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-4*(sqrt(140)*-1 - sqrt(140)) - sqrt(140)))\/((sqrt(4032)*-2)\/(sqrt(108)\/(sqrt(12)*1) + sqrt(9))).\nAnswer: 7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 12:44 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 0)*(312 - 2*h - 2*h - 313).\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-7\/8)*k)\/(k*(k*k**25)\/k))\/(k**(3\/28)\/k*(k\/(k*k**9*k))\/k*k) assuming k is positive.\nAnswer: k**(-839\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (26\/((-2392)\/(-115)))\/(((-1)\/(-2))\/1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g**3*i**2 - 23*g**3*i*q**3 + 2*g**2*q**2 + 8*g*i + 2*i**2*q**3 wrt g?\nAnswer: -12*i**2 - 138*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3053 - -0.297864. What is a rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 1686036.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.12, -84, -1\/5.\nAnswer: -84, -1\/5, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 316 = -0*k - 2*b, 109 = 2*k + 5*b. Let g = k + -34. Let w = 94 - g. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -87602.474641 - -86022.47462682. Let i = w + 1580. What is i rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from fcrerecchhffffhhf.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - t - 2, p = 2*t - 0*t - 1. Solve 2*s + 2*z = -4, p*s + z - 4 + 22 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4310\/1724)\/((6\/(-4))\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4 take away 79?\nAnswer: -76.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v + 3. Let w be a(-9). What are the prime factors of (-135)\/(-6) + (-3)\/w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 3 = 15. Suppose -4*t - 41 = -17. Let k be ((-5)\/(-15))\/((-2)\/t). Solve -o = 2*s - k, -l = o + 2*o - s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 198 - 69b?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -373*d + 91*d + 2206 = 322*d - 32826 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.61 - 0.2. Let r = u - -0.11. Let y = 0.5 + r. What is y rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91b69 (base 14) to base 11\nAnswer: 21a572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(2) + sqrt(8)\/sqrt(4) + -1 + 3)**2*-6 + 4).\nAnswer: -68 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 440139\/20 - 22033. Are y and -25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170817274.\nAnswer: 2, 23, 161453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6334000 rounded to the nearest 100000?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 586 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -3137497 at least as big as -3137498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/22*4*-8. Let k be (5\/(75\/(-24)))\/((-401)\/(-2005)). Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**2 - 26*s - 44 = 0. Calculate s.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -34a6 (base 16) to base 9\nAnswer: -20435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 9032*k**2 + 9029*k**2 + 8.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-75)\/15)\/((2345\/42)\/67)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 191 = -139. Let v = -52076 + 52175. Calculate the highest common divisor of k and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*d**5 - 380*d**4 - 1529*d**3\/2 - 1223*d**2\/2 - 399*d\/2 - 45\/2 = 0.\nAnswer: -5, -1, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -4*p**3 - p**2 - 2*p. Let x(j) = -3*j**3 - 2*j**2 - 3*j. Give -3*g(h) + 2*x(h).\nAnswer: 6*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4134260, 4134269, 4134288, 4134317, 4134356, 4134405, 4134464?\n\"Answer: 5*y**2 - 6*y + 4134261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.65854 millilitres in litres?\nAnswer: 0.02565854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 12:52 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 620 + -435. Let d = -190 + j. Let y be 2\/(-7) - 12\/(-14). Which is the closest to -1\/3?  (a) 2\/5  (b) y  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -b51 (base 14) in base 3?\nAnswer: -10001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - 21*v + 21. Let p be w(-20). Suppose 5*d + 35 = -m + 2*m, p = m - 2*d. Calculate the lowest common multiple of 30 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10387919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 7*u**3 - 5*u**2 - 7*u. Let t(w) = -11*w**3 + 8*w**2 + 11*w. Let x(q) = -q**2 + 27*q - 55. Let c be x(25). What is c*t(i) - 8*h(i)?\nAnswer: -i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11321032 - 30?\nAnswer: 11321002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of 0*v**3 - 4*v**2 + 0 + 0*v**5 + 0*v + 0*v**6 + 1\/168*v**8 + 0*v**7 - 1\/24*v**4. What is the second derivative of l(c) wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-12 - 14 - -24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -3*m + 1764152. Let o(i) = i**2. What is l(o(r))?\nAnswer: -3*r**2 + 1764152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1092119271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 1 - (2 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mot when three letters picked without replacement from {t: 3, q: 1, m: 6, o: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 13*y + 81. Let z be l(-6). Let j(t) be the third derivative of -t**2 + 0*t - 1\/6*t**4 - 1\/2*t**z + 0. Find the first derivative of j(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 at least 559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from hbhdh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 17*l + 15*l - 6 + 10*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 178865.8 + -178866. Let r = 1 - 4. Which is the closest to 0.3?  (a) h  (b) 1  (c) -2\/13  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.44 or 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 2 + 7 + 0 - 6*x**3 in the form o*x**2 + v*x + l + m*x**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4199 and 1019369.\nAnswer: 17329273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -7*w + 112. Let k be b(9). What is the highest common factor of k and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1452972 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37 - 39. What is the third biggest value in 0.5, n, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 579584 is divided by 3788.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 3:46 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -1 + 0*r**2 + 4*r + 3*r**2 - 292*r**3 - 1 + 3. Suppose -3*w - 20 = -7*w, 5*v - 5 = -4*w. Let z be u(v). What is z rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = -3*v - 3*v. Let z be ((-2)\/v)\/(17\/(-51)). Factor 2\/5 - 2\/5*x**2 - z*x**3 + 2\/5*x.\nAnswer: -2*(x - 1)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112304328 to the power of 1\/3, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 764144 and 110168?\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 94 - 97. Is -484*(0 + (-1)\/4) + m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9615976.\nAnswer: 2, 19, 41, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 616, 1247, 1876, 2503, 3128, 3751?\nAnswer: 4372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j + 3*j + 3*j + 4*j - 2*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2385 and -38662840.\nAnswer: -38662840.2385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 10) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y + 10. Let z(k) = k. Let i(u) = a(u) - z(u). Let n be i(-10). Solve -r - 10 + 5 = n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31003 (base 4) to base 6\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 5*k + 20, r - 2*r = -5*k + 4. Let d(a) = 4 + 11 - r + 8*a + 3 - a**2. Does 5 divide d(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-7)\/1232*-22 + (-2 - (-15831)\/8) is divided by 250?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -s**3 - 5380*s**2 - 128567*s - 123188 = 0.\nAnswer: -5356, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + 33\/(363\/(-154))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 7*x + 1. Let g(c) = 2*c. What is 3*g(o) + i(o)?\nAnswer: 13*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(2\/29)*k*k**(-14))**(-4\/25))**(-1\/40) assuming k is positive.\nAnswer: k**(-173\/3625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2 + 5)*(-14 + 21 - 112)*(1 + 3 - 2 + 2*p)*(-p + 2*p - 3*p) to z + u*p + w*p**2 and give u.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, l: 2, e: 4, a: 1}. Give prob of sequence ll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 346095 equal to 346086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**4 - 360*r**3 - 2184*r**2 - 4384*r - 2928.\nAnswer: (r - 366)*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of d**3 + 6 - 5 + 9*d**4 - d**3 wrt d?\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 317933*n**4 + 29*n**3 + 2*n**2 + 19501*n - 2189.\nAnswer: 7630392*n + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1376 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 - 26. What is the second derivative of -5*r**4 - k*r + 0*r + 3*r + 9*r wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 372*k - 505*k + 9177 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert e2d (base 16) to base 4.\nAnswer: 320231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -28 - (-16 - (-13 - 0)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 9863120?\nAnswer: 88768080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(76) + 1*sqrt(76) - sqrt(76))*-4 + sqrt(76))\/(sqrt(400) + -2*sqrt(400) + sqrt(4)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 5*i + 8*i**2 + 11*i**2 + 17 + 11*i + 13*i. Let s(f) = -6*f**2 - 10*f - 6. Let v(j) = 2*o(j) + 7*s(j). Factor v(k).\nAnswer: -4*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m - 33. Give k(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 555 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -19 - -7770dc?\nAnswer: 7770c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1690767089 rounded to three dps?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**3 + 6*z - 6*z)*(-3*z - 2 + 2 + (3 + 2 - 3)*(-2*z - 2*z + 2*z)).\nAnswer: 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 53 = -2*f - 5*l, 4*l = -5*f - 97. Suppose g = 3*w + 27, g - 26 = -4*w - 34. What is the smallest common multiple of f\/(-2) + (-4)\/8 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence be when two letters picked without replacement from cceaascasb?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j**4\/2 - 31641*j**3\/2 + 255992959*j**2\/2 - 89725778391*j\/2 - 44990901496 = 0. Calculate j.\nAnswer: -1, 368, 15637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 4:14 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20775126 (base 9) to base 16.\nAnswer: 99079e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -2. Suppose -f + 4*i - 7 = a, 3*f = 2*i - 2 + 11. Let s(n) = 3*n**2 - 187*n - 189. Let c be s(-1). Put 0.2, f, c in ascending order.\nAnswer: 0.2, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/1216 and 99\/380.\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i + i + 4*i**2 - 5*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 1410?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of n**6\/96 + 7*n**5\/48 + 25*n**4\/32 + 15*n**3\/8 + 8*n**2 + 2. Factor v(q).\nAnswer: 5*(q + 1)*(q + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*s - 139*s - 19 = 0. Let b(a) = 43*a. Give b(s).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1504.66 - -1526. Let s = -22.447 + u. What is s rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 5*v + 209, b = -3*v + v + 36. Suppose 411*y - 360 = 396*y. What is the remainder when b is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of 4*d**3\/3 + d**2\/2 + 12*d - 2. Let g(i) = i. What is -g(l) + n(l)?\nAnswer: 7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 3*h - 16. Suppose 7 = 3*i - h. Let s be (-8 - 57\/(-6))*16\/6. Solve i*n + 1 = 3*k, s*k - 3 = k + 3*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 188603, 754603, 1697937, 3018605, 4716607?\n\"Answer: 188667*c**2 - c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 6:08 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**12*j**(1\/25)*j\/(j*j*j\/(j\/(((j\/(j\/((j**12*j*j)\/j))*j*j*j)\/j)\/j)*j)*j)*j*j**8 assuming j is positive.\nAnswer: j**(151\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/30)\/(1612\/(-1860))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-486)\/(-8) - 5\/(-20). Is f + 4\/2 + -3 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -67*n + 14. Let x be o(-6). What is the tens digit of (1\/2)\/(16\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -4 - 834*a + 8 + 848*a - 12*a**2 - a**3 + 7. Calculate j(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(3\/2)*((b**(1\/3)*b*b)\/b)\/b*(b\/((b\/b**3*b)\/b)*b)\/b**(4\/3)*b**(-1)\/b**(-6)*b**4*b*(b**6\/b)\/b*b assuming b is positive.\nAnswer: b**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1388 and 156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1386 by -5.\nAnswer: 1386\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooo. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 (base 5) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -0.2057?\nAnswer: -0.2057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + sqrt(27)\/(sqrt(9)*-2) + -2*sqrt(108) + sqrt(108) + 3*(sqrt(3) + -1)*-6*-1.\nAnswer: -18 + 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 4*g**2 + g - 3. Let s be o(3). Let n = 20 + s. Solve -4*c + 1 = -n, -3*a - 9 = 2*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -231 - -391. Let t be 0 - (-2 - (12 + 2)). What is the greatest common divisor of l and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3216201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (2 - (-6 - -3 - -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 630662233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5026528 to the power of 1\/2, to the nearest integer?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -4*k + d + 251, 7*k - 5*d = 355. Let c(q) = -k*q + 91*q - 51*q + q**3 + 10 - 9*q**2. What is c(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-12) + (-38)\/(-4). Suppose 2*a - g = 1. Suppose a*f = f + 56. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.03 + 0.03. Suppose 2*s + h - 4 = 16, 0 = 4*s + 4*h - 48. Let v = s - 23\/3. Sort r, v, -3 in decreasing order.\nAnswer: v, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2\/3, -1416061, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 9, -25*y + 26*y = 5*m + 2. Is m bigger than -2\/2849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*11\/((-220)\/(-90))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3487 and 3348471.\nAnswer: 36833181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 146706083*-5.\nAnswer: -733530415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 190 + 691 = -167*z - 622 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (67954\/(-16) - -3) + -1. Let d = -4257 - h. What is the common denominator of d and -85\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1478314 rounded to 3 dps?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 547424378628 - 2?\nAnswer: 547424378626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4772667 to the power of 1\/2, to the nearest integer?\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 74821.923ns?\nAnswer: 0.0000000207838675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -13*a - 5. Let g(j) = -20*j - 7. Let n(d) = -5*g(d) + 8*z(d). Give n(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*o = 13*o - 84 - 141 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-105)\/12 + 3\/(-12). What is the units digit of (1\/(-2))\/(c\/234)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1311156378.\nAnswer: 2, 3, 7, 10406003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 335015 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24673.\nAnswer: 11, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-12))\/((210\/40)\/7)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = -4*g - 42 + 34, -g = 5*x - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 319409 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h + 1. Let f(w) be the first derivative of -w**3\/3 - 2*w**2 - 6*w + 65. What is f(l) + 6*y(l)?\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 583.2?  (a) 36\/205  (b) 3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(114) + sqrt(114))*-4)\/(sqrt(384) + sqrt(384)*-2 + sqrt(384) + sqrt(384)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -248, -967, -2152, -3797, -5896, -8443, -11432?\nAnswer: -14857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.887267mm to nanometers.\nAnswer: 887267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v - 5. Let w be p(-7). Find h, given that -3*h**w - 1 + 11*h + 0 + 2*h**2 - 13*h = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -3\/4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (10\/30)\/((-2)\/(-12)). Suppose 3*b = -2*b - 5*m + 5, -22 = -4*b + 5*m. Factor 24*d - 3*d**2 + 8 - 4*d**b - 3*d**2 - w*d**2 - 20*d.\nAnswer: -4*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 102 + 52 + (-212 - -127).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 217 + 4758 = u - 4*i, -14874 = -3*u - 5*i. Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17 and 114937?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -j*u*w + 370*j*u - 517*j*w + 2*u*w + 72829*u - 2 with respect to j.\nAnswer: -u*w + 370*u - 517*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 6, 13, 24, 39, 58, 81, 108?\n\"Answer: 2*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 138 - 573*n**3 + 81 - 127 + 265 wrt n?\nAnswer: -1719*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + 5*y**2 - 102*y - 9. Give o(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -13, 0.\nAnswer: -13, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s - 56 = -2*q, 0*s = 4*s - 20. Sort -637, 1, q.\nAnswer: -637, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.1, -2\/9, 7978, 2?\nAnswer: 7978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 11, -3 in descending order.\nAnswer: 11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62 + -63. Let s be -4 + 2 - -4 - 3*j. Calculate the greatest common divisor of 45 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w**2 + 4*w**3 - 13*w + 13*w.\nAnswer: 4*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c + 8. Let g(h) = -h**3 + 2*h - 1. Let o be g(2). Let z(y) = -y - 7. Calculate o*b(l) - 6*z(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11193210*x - 12666106?\nAnswer: -11193210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, g: 10}. Give prob of picking 2 g.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cpcfypepcycyc. Give prob of sequence yy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(98) + 1 - (sqrt(98)*2 + 0))**2.\nAnswer: 42*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000000111000000 (base 2) in base 14?\nAnswer: c168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -273645.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 16) + 0 + 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 213 divide 103841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 7:49 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/363, -8, 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -177*a**4 + 54552*a**3*s**3 - 2*a*s**2 - 4149729*a - 2*s**3 wrt a.\nAnswer: -2124*a**2 + 327312*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xqf when three letters picked without replacement from {q: 1, t: 1, x: 3, m: 1, f: 2, h: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 34 + 17 = 5*g, -2*g = 6. Is q greater than -84\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of -9*b**8\/28 + 3*b**4\/2 - 22*b. Find the third derivative of q(f) wrt f.\nAnswer: -2160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 114 + 5 - -49 - 120?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1671676866 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25572 is divided by 24660?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 752392.8ml in litres?\nAnswer: 752.3928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 215.\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000583378 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(-5)*-3*2\/(-102).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*j + 1008780 = 15*j + 15*j. Calculate the greatest common divisor of j and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 + -27. Let o = m - -3. What is the nearest to 0.1 in o, -5, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 164664007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(22)\/sqrt(8))**2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148912?\nAnswer: 2, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 9:06 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12296091 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*c**4 + 2955919*c**3 - 2741523*c**2 wrt c.\nAnswer: 48*c + 17735514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l*o**2*s*w + 2*l*o**2*s - 3*l*o**2 + 2*l*o*s*w - 6*l*o*w + o**2*s*w + 897*o*w wrt o.\nAnswer: 4*l*s*w + 4*l*s - 6*l + 2*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14195 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -2770?\nAnswer: -1385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -176025124*f*i**5 + 14*f*i**2 + 111*f*i + 7*i**2 + 155 wrt i.\nAnswer: -10561507440*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 13*w**2 - 270*w + 270*w. Let p(m) = -m. What is l(p(d))?\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 + 228*u + 82 - 6*u - 40.\nAnswer: 222*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/21)\/(2\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/4*(-6)\/(-9)*1389\/5093?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -6150756 + -155\nAnswer: -6150911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2138 + -2114. Calculate the highest common divisor of 4800 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -780 + 780 + 4*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 73*v + 885. Let u be p(-11). Sort -1, 5, 3, u, 34 in increasing order.\nAnswer: u, -1, 3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/5  (b) 0.5  (c) -20  (d) 1  (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25.47 - -0.47. Let i = n + 37. Let c = i - 11.9. What is the nearest to -2 in 1\/2, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11 and 50.783?\nAnswer: 558.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/2)\/((-2)\/(-8)). Let z = -4829\/6 + 805. Factor -z*o**x + 1\/6 + 0*o.\nAnswer: -(o - 1)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 10 - 1, -s + 5*m = 15. Suppose -3*p = 5*x - 0*p - 13, -4*x + 2*p + 6 = s. Determine r, given that -4 + r**2 - 3*r**2 - 6*r**2 + 10*r + x*r**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t**2 + t**2 + 1 - 1. Let d be 3*2*3\/9. Let i(s) = 0*s - s - d*s. Calculate n(i(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3677576 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 127022769 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - 4*x**2 - 4*x - 4. What is l(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.10289245 to two decimal places.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106 is divided by (-4)\/(-26) + 5880\/312.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 63127*v**3 - 3*v**2 + v + 4. Let h be w(2). Suppose 4*n + h = -n. Let c be 2\/(6 - 7) - (n - 0). What is c rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1726 divided by 1?\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6669809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 368 and 433412?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14720 + 127621. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -101 in descending order.\nAnswer: 5, 0, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 735 or 98447\/134?\nAnswer: 98447\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -10\/9  (b) 1.4  (c) 30  (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -f**6 - 14693*f**5 - 2*f**4 + 77023*f**2.\nAnswer: -120*f**3 - 881580*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002352379 rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/2  (b) -167  (c) 0  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/14848 and -17\/15312.\nAnswer: 489984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 12*k**2 + 11. Suppose -4*d - 58 = 5*y, 4*y - 8 = 8*y. Let v be r(d). Suppose -v*t = -3*t - 21752. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 27*k**2 - 27*k + 25. Let m be r(26). Let v(t) = 39*t + 3. Let b be v(m). Let p = b - -43. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 7*o - 16. Let m(p) = -14*p - 9. Let c be m(o). Suppose -3*l = -0*l - 456. What is the greatest common divisor of c and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 206 + 278 = 0. What is the smallest common multiple of 9 and r?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17917 (base 11) in base 6?\nAnswer: -312013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 26*l + 3 + 101*l + 24*l.\nAnswer: 151*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -247?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19*k**4 - 444*k**3 - k**2 + 9*k - 102 wrt k?\nAnswer: 456*k - 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3235766399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 253503413 (base 6) in base 3?\nAnswer: 100021220102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4\/5))**(17\/2) assuming t is positive.\nAnswer: t**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/109362 and -19\/8220377.\nAnswer: 49322262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 507 + -1525\/3. Let l(p) = -2*p**2 + 16*p - 21. Let d be l(6). What is the closest to 3 in d, z, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6068895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -c + 3*q, -8*c - 4*q + 33 - 91 + 17 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 2 - (-10 + (-9 - -36) + -44)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.6 + 1.6. Sort m, 0.2, -2\/13 in descending order.\nAnswer: 0.2, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1221181 - 1216610.935. Let y = a - 4538. Let c = y - 32. Round c to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 17, 1\/34, 3\/4 in increasing order.\nAnswer: 1\/34, 0.4, 3\/4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-12)*(2088\/(-1512) - (6 - 7)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, n: 4, q: 2, k: 5}. Give prob of sequence qnn.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(3) + 4*(sqrt(3) + 1).\nAnswer: 5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 - 5*a - 2. Suppose -v = 2 - 1. Let m(u) = -17 + 4*u - 6*u + 17 + 3*u. What is v*i(x) - 5*m(x)?\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16230 and 430095?\nAnswer: 860190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2173312 less than 372?\nAnswer: 2173684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of -m**6\/60 - m**5\/15 + m**4\/6 - m**3\/3 + 25*m**2. Let t be w(-5). What is the highest common divisor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41810*w**3 - 20997*w**2?\nAnswer: -250860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(75)\/(sqrt(40)\/sqrt(128)))\/(sqrt(12)\/(sqrt(576) + sqrt(576)*2 - sqrt(4))).\nAnswer: 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + -3 - (1 + 2). Let f(p) = 3*p. Let g(v) = -14*v. Let x(o) = c*g(o) - 11*f(o). Let d(n) = 3*n. Determine x(d(j)).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-3*(sqrt(209) + sqrt(209)*2*-3))\/(3*sqrt(44)\/sqrt(4)*5))**2.\nAnswer: -2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {m: 12, b: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 372628930.\nAnswer: 2, 5, 283, 131671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 194\/95, -0.4, -5, -0.3?\nAnswer: 194\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 39099948*w**3 - 2094824*w**2 + 2*w?\nAnswer: 234599688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 257 + 147 = -5*f - 3*d, -4*d = 4*f + 320. Let x = 100 + f. Suppose -53 = -2*o + 5*k, -o + 4*k = -16 - x. Calculate the least common multiple of 4 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 55*j**2 - 239*j + 55. Determine t(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 14*a**3 - 4*a**2 - 4*a - 9. Let u(b) = -28*b**3 + 9*b**2 + 9*b + 20. Calculate 9*n(o) + 4*u(o).\nAnswer: 14*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, m: 12, r: 1}. What is prob of picking 1 m and 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.04 - 5.96. Let s = 14.8 - 9.8. Let v = i + s. What is the closest to v in -5, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2641, 2648, 2657, 2668?\n\"Answer: c**2 + 4*c + 2636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-3*sqrt(224)\/sqrt(4))\/(sqrt(64)\/(sqrt(8) + sqrt(8) + sqrt(16)\/sqrt(2))).\nAnswer: -9*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 47859120*h**4 - 462313060*h.\nAnswer: 574309440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 5*u - 3. Let y(r) = -2*r. Let g(f) = 4*k(f) + 9*y(f). Give g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 27*x**3 + 3 - 4 to the form b*x + z*x**3 + w + c*x**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -6*m**2 + 0*m**3 + 5\/12*m**4 + 0*m + 0 + 0*m**5 - 1\/24*m**6. What is the second derivative of h(v) wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*2\/(-21)*(244244\/520)\/61\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t + 8. Let v(d) = d**3 - 3*d**2 - 4*d + 4. Let q be v(3). Let m be p(q). Put 1, 3, m in decreasing order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 644.68, -0.1, -3 in decreasing order.\nAnswer: 644.68, 0.1, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 13, 0.193, 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1324 - 784. What is the highest common factor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -39, -41, -43?\n\"Answer: -2*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - o. Let i be m(2). Let b(n) = n**2 + 4*n + 3. Let c be b(-3). Suppose h + c*h = i. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-1))**35\/(n**(-1)\/n**10))**(-2\/81) assuming n is positive.\nAnswer: n**(-22\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5854618 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/8*6 - 3. Suppose -3*w - y + 603 = h, y = -5*w - 268 + 1273. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15378229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*z = 5*t - 55, 0 = -t - 5*z - 1. Let u be (t - (4 + -1))\/(-5). Let s = 0.26 + 0.04. Which is the smallest value?  (a) -1  (b) u  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -19*v. Let p(u) = -56*u. Let x(m) = 11*i(m) - 4*p(m). Let l(d) = -d + 4. Let j be l(3). Let f be x(j). Solve -g = 3*g + h - f, -g - 4*h = -15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -4. Suppose 0 = 2*n + x*n - 120. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7933968)\/(-481520) + (36\/(-13))\/(-3)?\nAnswer: 87\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-14)\/10 + -1)*-5. Suppose -3*k + 2*d - 10 = 0, -4*k - z - 2 = -3*d. Which is greater: k or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 PM and 3:22 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1800 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g + 180 = g. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 4*l**2 + l - 29. What is the remainder when j(5) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (20\/(-30))\/(2\/(-12)). Suppose 2*y = 6*y - 3*h - 1281, 952 = 3*y - g*h. Calculate the greatest common divisor of y and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -99*d**2 - 1. Let y(p) = -3059*p**2 + 1529*p**2 + 1517*p**2. Calculate j(y(r)).\nAnswer: -16731*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1003723308 to the power of 1\/3, to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17681 is divided by 311?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-2))**(-30)\/(r**0)**(-31) assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 4*g = -6, 25102 = -5*o + 4*g + 25116 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l**2 - 10*l + 5. Suppose 0 = 4*y - 24 - 56. What is the remainder when j(7) is divided by 87\/5 + (-8)\/y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of 2*u**3\/9 + 17*u**2\/3 + 32*u\/3 + 29. Factor l(j).\nAnswer: 2*(j + 1)*(j + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28 - -30. Find the second derivative of -46*q**2 + 50*q**d + 4*q + 5*q wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a millimeter in micrometers?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/11 + 175*q**2\/11 + 676*q - 15580\/11.\nAnswer: (q - 2)*(q + 82)*(q + 95)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -135*x**3 + 5*x**2 + 12*x - 1387. Let a(l) = -204*l**3 + 7*l**2 + 17*l - 2080. Let z(f) = 5*a(f) - 7*g(f). Differentiate z(t) wrt t.\nAnswer: -225*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 5*s**5 + 12*s**3 + 5*s**2 + 3*s**3 + 9*s**4 + 6*s**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 22 = -6. Let r(z) = 42*z**3 + 4*z**2 + 6*z + 1. Let m be r(-1). Let t = -23 - m. Calculate the greatest common divisor of l and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -7812?\nAnswer: -7811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-13\/2)\/x)\/(x*x*x\/x**(4\/5)))**(1\/4) assuming x is positive.\nAnswer: x**(-97\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 7*d**2. Let v(c) = 6*c**2 + 2*c. Determine v(f(i)).\nAnswer: 294*i**4 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1497385 is divided by 115180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5*q = -0*i + 140, 0 = 2*i + 2*q - 120. Suppose 51*v - i*v = -864. Is v a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4*(-2)\/8 + 190 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/364 and -121\/2808?\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 13) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ueueeebu. Give prob of sequence bu.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, h: 1, y: 8}. What is prob of sequence yyyh?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.017917355 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, g: 3, t: 1, o: 7}. What is prob of picking 2 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -336*(-71)\/1136*(-48)\/(-9)*1\/(-4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 55522493309?\nAnswer: -55522493307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + 3*sqrt(1053) - sqrt(1053) - (-3*sqrt(78))\/sqrt(6))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*f - 2*a + 3, 0 = -f + a. Is ((-154)\/f)\/(5\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.10186*-873.2\nAnswer: -88.944152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12918\/355663 + 44\/1043. Which is the nearest to 0?  (a) q  (b) -2\/9  (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1078972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 2081, 0, -13, -3 in descending order.\nAnswer: 2081, 0, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2884 at most -176\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 3  (b) -62046  (c) -24  (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -814*u - 1. Let o(y) = 2*y. Determine j(h) - 6*o(h).\nAnswer: -826*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -18*z + 71. Let y(m) = 2. Let h(o) = x(o) + 6*y(o). Let w be h(-7). Calculate the greatest common divisor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/16 + (-14)\/8. Let d be 1388\/11168 - (-19 - -17). Let n = -1\/1396 - d. Which is greater: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 - p**2. Let c(t) = -t**3 - 2*t**2 - t. Let y be c(-2). Let v be w(y). What is the remainder when ((-2)\/(-4))\/(v\/24) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10) + sqrt(40))*3 - 2*sqrt(10)*4)\/((sqrt(14) - -1*sqrt(14))\/sqrt(7)*5)*-4.\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.349 + -52.351. Let c = u + 61. Round c to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhkk when four letters picked without replacement from khhhkh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16.46 - -489.\nAnswer: 505.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/84 and -157\/14610?\nAnswer: 204540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -3*o**2 - 16*o + 1103. Calculate k(16).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(-2)*g))\/g*g*g\/g**(-1\/2)*(g*g*g**6\/g)\/(g\/g**1)*((g*(g\/g**(-2))\/g)**5)**(5\/4) assuming g is positive.\nAnswer: g**(113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of -i**6\/360 + i**3\/2 - 5*i**2 - 68*i. Let g(h) be the second derivative of p(h). Let y(w) = -66*w - 1. Give g(y(j)).\nAnswer: -4356*j**2 - 132*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -24, -48179, -3 in descending order.\nAnswer: 1, -3, -24, -48179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 316976563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -40 - 5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/33 and (-6)\/((-216)\/28)*6\/23.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -545, 7, -4 in decreasing order.\nAnswer: 7, -4, -13, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1544001 and 16899.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 - 243?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/(-3*4\/(-24)*-3). Let u be (-414)\/q - 1*1\/(-4). Suppose 47*p = u*p. Round p to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = 5*r - 4 - 2, 4*r - 246 + 238 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -115, -431, -955, -1687?\n\"Answer: -104*f**2 - 4*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 15 = 5*z - a, 1287*a + 8 + 9 = 2*z + 1298*a for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -28.89691446 to 2 decimal places.\nAnswer: -28.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*h*z**3 + 150536*h*z**2 + 9*h + 858030*z**3 - 11 wrt z.\nAnswer: -42*h + 5148180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 749273 is divided by 1137.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00007608 to six dps.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 266289701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1704 - -454. What are the prime factors of c?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that v**4\/5 - 1352*v**3\/5 + 4555*v**2 - 106864*v\/5 + 17088 = 0.\nAnswer: 1, 8, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {i: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 = -379*m - 574 + 3305 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -18, -26, -36?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 38340003 = 38340003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-222530)\/(-4785))\/(-119) + ((-20)\/(-3))\/10?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.087682071 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) -1.3976  (b) -2\/551  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 223  (b) -37.7  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - k = -404, 361*p + 5*k = 366*p - 480. What is the lowest common multiple of p and 225?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111203 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 - 10*v**2 - 7*v + 13. Let h be x(-9). Let q = 3 + h. Sort 0.2, -1\/3, q in increasing order.\nAnswer: q, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19889?\nAnswer: 19889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 16, 97, 232, 421, 664, 961, 1312?\n\"Answer: 27*k**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j. Let i(p) = 13*p**2 - 4*p - 214. Let w be i(-4). Suppose 3*l - 3*k = 177, 2*k = 4*l - k - 233. Suppose 0 = -11*g - w - l. Calculate s(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4686\/81005 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 3*l**2 + 5*l + 4. Suppose -4*n + r = 18, 6 = n + r + 4*r. Calculate c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (373\/((-14765205)\/(-406)))\/((-22)\/10)\nAnswer: -2\/429","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 46650 and 46779 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30 - -30.3. What is the closest to 1 in 2\/13, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00204 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2*q - 6)*(-q**2 - q**2 - 2*q**2).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 112039.58 - 112076.580088. Let p = -0.018912 + h. Let a = -37 - p. Round a to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t. Let g(i) = -6*i**2 - 3100111. Determine g(w(p)).\nAnswer: -54*p**2 - 3100111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -28933\/14 <= -2068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = 2*o - 4*k - 214, 2274*o - 2273*o - 5*k - 366 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*r + 13*r - 8*r)*(-5 + 3 + 3)*(2 + 2 - 5)*(-r**2 - 31*r**2 - 9*r**2).\nAnswer: 123*r**3 + 41*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of n**9\/15120 + n**8\/10080 - n**7\/5040 + 73*n**5\/60 - 69*n**2. Let o(p) be the third derivative of j(p). Determine o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g + 18. Let z be l(-12). Solve -z*j = -7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(72) - (sqrt(72)*-1 - sqrt(72))) - (1*sqrt(72) - sqrt(72))*-2)\/(sqrt(45)\/(sqrt(5) + sqrt(80)*6)).\nAnswer: -150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 463912159.\nAnswer: 29, 15996971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d + 3 = 12*d. Let z(n) = 31*n + 2. What are the prime factors of z(d)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 6*(sqrt(2) + sqrt(2)*2)*3 + -1.\nAnswer: 1 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.425 * -1\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 6422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - -3. Suppose -168 = -a*z + 3*z. Suppose -z = -5*v + 5*k + 4, 18 = 4*v - 3*k. Is v not equal to 22\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 208*g**3 + 2*g**2 - 7*g + 6. Let x be d(1). Let a(u) = x*u**2 - 2 + 3 - 302*u**2. Let w(f) = -2*f. Determine w(a(o)).\nAnswer: 186*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 2:24 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 133*m - 3 + 151*m + 8 - 498*m + 172*m.\nAnswer: -42*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/30 of a hour in seconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16 - (-2)\/(2\/(-2)). Suppose p + 13 = 5*y, -p - 2*p + 2*y = 0. Suppose 4 = -p*x - 0, -2*o = 2*x - 304. Calculate the highest common factor of o and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 423, 1577, 3245, 5217, 7283?\n\"Answer: -35*d**3 + 467*d**2 - 2*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 162 (base 9) in base 7?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by 621?\nAnswer: 16\/621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-5)*(-64)\/(-64).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 - 9*b - 1. Is 12 a factor of v(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92897 is divided by 98.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14596211.07 milliseconds to weeks.\nAnswer: 0.024133946875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = l - 42, 2*s - 128 - 12 = -4*l. Suppose r - l = -26. Solve -4*k - 2*f + 0*f + r = 0, 4*k + 10 = 2*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -43872, 108, 19 in descending order.\nAnswer: 108, 19, -43872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -9511435364482 minus -3?\nAnswer: -9511435364479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 3) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -3*v + 4, -3*a + v = -359. Suppose -o = 2 - 13. Calculate the greatest common divisor of a and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5.9 > 22722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 24 + -32 - 10) + (-1 - 2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s\/s**(-2\/5)*s*s))\/(s\/((s\/(s*s**(-9\/4)))\/s)))\/(s**(1\/4))**(-29))**(8\/13) assuming s is positive.\nAnswer: s**(204\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 8 = 44. Solve 3*p = 5*h + 7, -5*p - c = 2*h - 0*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {u: 4, a: 1, f: 4, i: 1, r: 1, n: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 117 + -118. Which is smaller: l or 3\/245?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 13817442.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 89713.83 centuries?\nAnswer: 107656596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (261 + 283 + 271 - 794 - 366*u)*(7*u - 2*u - 2*u) to a*u**2 + d*u + k and give a.\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -11363?\nAnswer: 11356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 498129975 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cjvjvmj. Give prob of picking 1 v and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22039\/4 - -11019\/2. Which is the third biggest value?  (a) -13  (b) 4  (c) s  (d) 3  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6243 is divided by 481?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -6*x**3 + 1971*x**2 + 1163*x - 57892. Determine t(329).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y + 1. Let u(i) = i**2 - 5*i - 8. Suppose 0 = -5*q - 3*b - 2, -5*q - 1073 = -5*b - 1063. Calculate q*u(h) - 5*o(h).\nAnswer: -h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -7*r + 8*r - 3*r. Let o(d) = 2*d**2 - 37*d. Give q(o(l)).\nAnswer: -4*l**2 + 74*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-11)\/(55\/(-300)) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0019952722 rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 5*t**3 - 4*t**2 - t. Let d = 8 - 10. Let p be 8\/6 - d\/(-6) - -3. Let f(i) = i**2 - i. Let y(m) = p*f(m) + l(m). Factor y(x).\nAnswer: 5*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6534029*z**4 + 562926*z**2 - 8.\nAnswer: -156816696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 4. Let z be o(0). Let a be 5 - (-12)\/(-16)*z. Find the first derivative of -5*d**a - 7 + 6*d**2 + d**2 wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - f + 9 = 0. Suppose f*q = 5*q + 20. Let h = q + 14. What is the least common multiple of h and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 42 + -39. What is the closest to t in -0.1, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -5, 0.4, -0.1, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 35*z**2 - 4*z. Let a(d) = -279*d**2 + 31*d. Calculate -4*a(j) - 31*p(j).\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 38835 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3.875 - -0.86\nAnswer: 4.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 43*i**2 + 38*i + 53. What is the tens digit of l(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 613*f**3 - 3*f**2 + 5*f - 7. Let g be q(-3). Round g to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31700*d**3 + 21937 wrt d.\nAnswer: -95100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/833 and -22\/12495.\nAnswer: 12495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -60 + 69. Sort 3, s, 0 in ascending order.\nAnswer: 0, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005422821 rounded to six dps?\nAnswer: 0.005423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2535, 2700, 2975, 3360, 3855, 4460, 5175?\n\"Answer: 55*q**2 + 2480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - -32 - 33 - -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p**2 - 13*p + 6. Let h(u) = -8*u**2 - 51*u + 23. Let a(t) = 2*h(t) - 9*w(t). Solve a(b) = 0.\nAnswer: -8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1320677, -1320685, -1320693, -1320701, -1320709?\nAnswer: -1320717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1181255\/18 or 65624?\nAnswer: 65624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (409 + 111*h**2 - 409)*(3*h**2 + 3*h**2 - 5*h**2) + h**2 - h**2 - 2*h**4.\nAnswer: 109*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8579058 rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3\/12*(-217672)\/(-1183)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-294)\/(-120) - 37\/(2220\/72). Factor 15\/2 + 25\/4*a + i*a**2.\nAnswer: 5*(a + 2)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1000, -4026, -9068, -16126, -25200?\nAnswer: -36290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 110807*g*v**3 - 261*g + 127598*v**3 + 172*v - 4 wrt g?\nAnswer: 110807*v**3 - 261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5\/2 - 2\/4 - -478. What is g rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 - 2*o**3 + 0*o**2 - 554*o - 545*o + 1105*o + 3*o**2. Let d = -16 - -23. Let y be f(d). Round y to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2. Let i(g) = -867*g - 927*g - 332*g - 504*g. Calculate l(i(f)).\nAnswer: 6916900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5504 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1122*v - 30072 = -26*v + 74*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 32777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -10*q**2 - 6*q - 6. Let v(f) = -40*f**2 - 25*f - 25. Calculate -25*p(s) + 6*v(s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (1\/(-10))\/(12\/1065) and -8\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/2, 5.581, 0, -2\/3, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -21245834?\nAnswer: 21245831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -28926, 1\/3, -2, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l. Let y be 45\/10 + (-1)\/2. Let k(a) = 2*a. Let c(b) = y*k(b) + 5*v(b). Let q(w) = -1283*w**2 - 1279*w**2 + 2563*w**2. Determine q(c(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.3  (b) -5  (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -g + 3, 5*c + 2*g + 40 = -2*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 11619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -3. Suppose 18 = 23*l - 17*l. Put d, -5, -3, l in descending order.\nAnswer: l, d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0  (b) 0.12  (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 143*o**2 + 1892*o - 3580. Give w(-128).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2115 divided by 423.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 5 + v**3 + 20*v**2 + 14*v**2 - 20 - 5*v + 0*v**3 - 29*v**2. Give j(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 396 + -11671?\nAnswer: -112b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9.3 + -9.98. Let g = 0.72 - p. Let l = -1.6 + g. What is the third smallest value in 2, 0, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*f - 4*f = 38. Let t be (2 - 1)*41 + -1. Solve 0 = -5*n - 3*i + t, 5*n + 2*i - 25 = f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v**4\/2 + 8*v**3 + 297*v**2\/2 + 97*v - 40 = 0 for v.\nAnswer: -5, -1, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-124)\/(7068\/1197)*((-1)\/1)\/30.\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 2*u - 3. Let f be y(2). Suppose r - o - f = -0, 0 = -2*r + 3*o + 12. Solve -4 = -w - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d**3 + 2*d**3 + d**3)*(-2*d**2 - 1 + 1) + d**5 - 2*d**4 + 2*d**4 - 4*d**5 - 2*d**5 + 4*d**5 - 2*d**5 + 5*d**3 - 5*d**3 - 19*d**5 + 166 - 166.\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1545 + 1545. Does 0.7361 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 3*q = -7 - 14, 0 = -4*q + 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.057 + 57.057. Let n = 57 - q. Sort 5, 0.5, 1\/9, n in ascending order.\nAnswer: n, 1\/9, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 6 = 0, z - 2*q - 178 = 3*q. Let w = -87 + z. What is the greatest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 57, -0.2, 18, -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 891 - 230. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, s: 2}. Give prob of picking 2 i and 1 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1915, 1917, 1919, 1921?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31\/(-93)*-1*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -18953, -37374, -54737, -70514, -84177, -95198, -103049?\n\"Answer: 88*x**3 + x**2 - 19040*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 13 + (-21 + 8 + -1 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 6*i - 5. Let n be h(1). What is the closest to n in -2\/69, -2\/9, 5?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -6 + (7 - 5 - -2) + 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 0.61?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2544001?\nAnswer: 71, 35831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*c + 42*c + 13 = 7*t, 5*c = t - 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1649742 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 971982.2l in millilitres?\nAnswer: 971982200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d + 10. Let z be t(-7). Let h(u) = -u**3 - u**2 + u + 1. Let m = 8 - -16. What is the remainder when h(z) is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 500 or 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6253079 from 0.53.\nAnswer: -6253078.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4124960 and 1524?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -210 - -212. Suppose a = c, 2*b - 14*c - 1400 = -16*c. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -t - 78, 3*a + t + 14 = 4*a. Let x = 3.7 + -4. Let q be (1\/2)\/(-1)*(22 + -18). Sort a, x, q in decreasing order.\nAnswer: a, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -46 - -226\/5. Which is the nearest to 5?  (a) i  (b) -4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 5*i**3 + 7*i**2 - 31*i + 1. Let j(d) = -14*d**3 - 22*d**2 + 93*d - 5. Let t(x) = -6*j(x) - 17*q(x). Let a be t(10). Solve 4*l - a*l + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 770 divided by 5\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w - 44 = 20. Put -4, w, 17 in descending order.\nAnswer: 17, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 33 - 8 = 0. Suppose -2*c = -2*x + x + g, -5*x + 4*c = -43. Calculate the highest common factor of 77 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6502 divided by -3251\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2. Let z(b) be the second derivative of b**3\/3 + 21*b**2\/2 - 5*b - 3. Give z(r(y)).\nAnswer: 2*y**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9\/2*(-24)\/18)\/(-1). Suppose -3 + 1 = -2*z. Let w be -3*(z\/(-4))\/(k\/32). Solve w*r - 2*q = 30, -5*r + 4*q + 30 = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*d**4 - 16*d**4 + 0*d**4 + (d**3 + 5*d**3 - d**3)*(0 + 0 + d) - 942*d + 942*d + 148*d**4 in the form g*d**3 + p*d**2 + i*d**4 + b + o*d and give i.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14448 and 90391.\nAnswer: 186567024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-10 + 3 + (-12 - -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 9*q**2 + 7. Give c(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/252 and -25\/1206?\nAnswer: 16884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -5*n - 2. Determine d(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 8:10 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-27)\/(135\/50))\/(-10). Which is smaller: x or 1494?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -2) + (26 - 2) + (-981 - -1000)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + (3 - (1 - 7) - 4) + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 10:52 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -i - 4*b, 0 = -2*i - 3*b - 22 + 63. Suppose -x + 0*u + u + i = 0, -2*x + 3*u + 45 = 0. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -5*d**3 - 3*d**2 + 5*d - 5. Let k(h) = 2*h**3 + h**2 - 2*h + 2. Let g(b) = 8*k(b) + 3*q(b). Factor g(u).\nAnswer: (u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of -p**3 - p**2 + 3*p + 50. Calculate r(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3143 divided by 186689\nAnswer: 3143\/186689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1107905 and 0.092.\nAnswer: -101927.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 3356.\nAnswer: 13424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f + 28. Let x(n) = -2*n + 27. Let y(s) = 2*b(s) - 3*x(s). Let c be y(20). Suppose 13*r = c*r - 2524. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 176313 and -2.\nAnswer: -352626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.11  (b) 0  (c) -218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 5430 = -2919. Let g = a - -149. Calculate the remainder when g\/(-24) + (-9)\/12 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1064\/16357 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 4*f + 7 + 3 = 0, -4*f + 14 = -n. Suppose 10*y = n*y + 28. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 46 - 24. Suppose 5*o + 2 = r. Solve -o*m + 4*w = -16, 2*w + 4 + 3 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 2*f - 5*l, 4*l + 12 = 3*f - 15. Let b be 3 + (-38)\/57*f\/2. Solve b = -6*z + 6 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 - -9. Let m = i + 5. Let x = 1.02 + m. Which is the third smallest value?  (a) x  (b) 3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 155, 137, 119, 101, 83?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 224\/(10 + 6) - 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -1\/2, 2\/8711, -1, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/8711, -0.3, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7791326183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -x**7\/840 + x**4\/12 + 9*x**2. Let l(b) be the second derivative of v(b). Let w(f) = -f. Determine l(w(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 37.71 in -2\/11, -0.2, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.92 - 6.35. Let l = -0.17 + k. Let o = 0.4 - l. What is the third biggest value in 0.5, 4, -2, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2 = o, -207*o + 203*o - 3*q = -28. Put o, 6, 3 in descending order.\nAnswer: o, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*j + 0*j + 9*j)*(j + j**2 + 0*j**2 - 3*j**2) to g*j**2 + z*j + v + i*j**3 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 242659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 divided by -653?\nAnswer: -104\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04234896 to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1719804 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a5a - -11?\nAnswer: -1a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 180.0304 + -0.0304. Let t = -179.999857 + y. What is t rounded to 6 decimal places?\nAnswer: 0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-1))**(-19)\/(u**(1\/2)*u**(-3))*u*u*u**(2\/9)*u**(2\/3)*u*(u**0)**(-46) assuming u is positive.\nAnswer: u**(115\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 24*m + 57. What is t(-23)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -18*(-9 - 1796\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 10, 4*n - 2*l - 2 = -0*n. Solve -3*p = -2*o - n, -5*o + 4 = p + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 153 and 2363.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360)\/sqrt(8)*3)**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 5)*(3 - 5 - 4)*(2*z - 2 + 2) + (4 - 4 + 2*z)*(8 + 9 - 1).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5627 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -7*y**2. Let n(w) be the first derivative of w**3\/3 - w - 2. Let u(l) be the first derivative of n(l). Determine u(z(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24255 + -24184. Solve 483 = -2*i + h*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, n: 2, b: 3, d: 2, o: 4, p: 1}. Give prob of sequence onn.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*x = -14*x - 60. Let z be (-1)\/2 - 17\/(-2). Suppose z*g = x*g. Solve -1 = -t - g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(2\/71)*d**7 assuming d is positive.\nAnswer: d**(499\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27\/(-2))\/(-9) - (205\/(-30))\/((-7)\/(-63)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -129 by -72.\nAnswer: 43\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/12 and -101\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 78185407 and 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -1718, 86133 in descending order.\nAnswer: 86133, 0.1, -1718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/21?  (a) 0.5  (b) 0.1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -9*x**3 + 6*x**2 - 3*x - 9. Let u(k) = -18*k**3 + 11*k**2 - 6*k - 17. Let v(l) = -11*o(l) + 6*u(l). Does 11 divide v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.085  (b) -0.3  (c) 4321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -47744435*d + 102832939 wrt d.\nAnswer: -47744435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {c: 9, j: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -18. Let j(n) = -52*n**2 - 519*n - 2. Let z be j(-10). Is z > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -53.289 + -252.711. Let a(b) = -b**3 + 5*b**2 + 6*b + 1. Let v be a(6). Is v != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 8:03 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - 10. Let h = 8\/5 + -9\/5. Sort w, -5, h in decreasing order.\nAnswer: h, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -54 - 178. Let y = 282 - o. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y + 4. Let x be q(-9). Let i be 4 - x\/((-10)\/4). Let v be -15*1*i\/(-6). Solve 3*l - 4*w = -v, l - 6*l - 11 = -4*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-595)\/(-340))\/(42\/(-30))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/(27\/12))\/(2\/1803). Let s = 1689 - g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3149227978 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 960*a**2 - 1 + 11*a - 331*a**2 - 5*a + 782*a**2 - 7*a.\nAnswer: 1411*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 896.55309us to days.\nAnswer: 0.000000010376771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 1 - (1 - (-3 + 72))) + (23 - 26)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 615014 - 225657. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i + 2058 = 2190 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(40)\/sqrt(4) + -3*-3*sqrt(10))\/(3*sqrt(10)\/sqrt(5) - (sqrt(98) - sqrt(98)*2)).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 4 - 14 - 2 - 9*q. Is x(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 PM and 1:25 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 8601*v + 215018. What is s(-25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z + 5. Let v be (-1 + -14)*(-2)\/6. Let c(b) = b - 2. Let a(w) = v*c(w) + 2*p(w). Let d(g) = 543*g**2 - 707*g**2 + 167*g**2. What is a(d(j))?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12996 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -228, -931, -2116, -3795, -5980, -8683?\nAnswer: -11916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q + 1. Let i = -45 + 62. Let l(v) = -4*v - 8*v + i*v + 2. Calculate -l(m) + 2*t(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4926526137.\nAnswer: 3, 13, 59, 233, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from niffififfi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3754 + 3749)*((-2 - 0)*1)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 15 = 2*v, -4*z + 0*z = -v - 18 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -2. Let k be (1\/(-3))\/(10\/(-150)). What is the third derivative of -6*i**5 - 2*i**s + 3*i**k + i**2 wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 - 35. Let p = 16 + q. Suppose -25 - 15 = -p*l. 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 first derivative of -148427*t**3 + 159115?\nAnswer: -445281*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -12. Let q be 1 - (w + (1 - 1)). Suppose -19*a + 12*a = -49. Solve 0 = -5*v - 5, -q*v - 20 = -5*z + a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + -3. Let o(l) = -3*l + 0*l + 2*l + 6. Let j be o(c). Sort -3, j, -4 in increasing order.\nAnswer: j, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40 + -23. Let q = t + -4. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-3)\/(-6)*(-6)\/51.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -431 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1\/108 + -103\/540. Let f be 1\/(-1) + 1 + 0. Which is smaller: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -163\/19206 and 43\/10.\nAnswer: 96030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -5. Suppose -3*w - 3*z = -6*w + 66, 3*z + 108 = f*w. Suppose 4*i - 5*y = w, 0 = -y + 6*y + 5. What is the remainder when 11 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -u**8\/336 - 89*u**5\/20 + 7*u**4\/6 + 4*u**3\/3 + 369*u**2. What is the second derivative of y(i) wrt i?\nAnswer: -20*i**3 - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**3*i))\/(i\/i**(3\/10))*(i*i\/((i*i**11\/i)\/i))\/(i*i\/i**(-11)*i))**(-5) assuming i is positive.\nAnswer: i**(267\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b (base 13) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooyo when four letters picked without replacement from oyoyoyyoyoyy.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 3*c - 19. Let q(d) = -d - 57 + 9*d + 57. What is b(q(i))?\nAnswer: 24*i - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 3, -101, 0, 1, 4, 9.\nAnswer: -101, -34, 0, 1, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 854*l - 275*l + 888*l.\nAnswer: 1467*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 + -38 - (7 + 15 + -52).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 10976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 728 = f + t, 0 = 2*f + 4*t - 502. Suppose 0 = 3*h - x - 0*x - 356, -f = -2*h - 3*x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 29248.51126 to the nearest 100.\nAnswer: 29200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 4975857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 848*n**3 - 3*n**2 + n. Let a(k) = -k**3 + 2*k**2 - k. What is a(t) + s(t)?\nAnswer: 847*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.3, -0.1, -3\/5 in increasing order.\nAnswer: -3\/5, -0.3, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171*z + 1170 = 63*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 58385.2um in nanometers?\nAnswer: 58385200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 191301450 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -147 in decreasing order.\nAnswer: 3, -4, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1143686357?\nAnswer: 11, 97, 1071871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -286, 77, -4, 5, -3.\nAnswer: -286, -4, -3, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 4*c - 560, 3*f + 27*c - 329 = 26*c. Calculate the smallest common multiple of f and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**3 - 2547*j**2 - 85668*j - 161172 = 0. Calculate j.\nAnswer: -814, -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/6  (b) 7  (c) -1\/9  (d) 2\/5  (e) -1\/3  (f) 1.52\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 5:31 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-20))\/((-2)\/(-12)) - 9694\/(-24890).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) -0.5  (b) 5  (c) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 PM and 3:20 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = 5*r - 71, 12*r - 10*r - a - 26 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 11871?\nAnswer: -11870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-264)\/(-748))\/((-2)\/(-68))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -19 - 8*l + 1\/2*l**2 + 1\/3*l**3. Let x be j(-5). Solve 3*k + x = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 4239?\nAnswer: 16956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143557350 = -11*c - 143556965 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1*sqrt(19) - sqrt(19))*4.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of -7*c**5\/30 - 2*c**2. Let a(s) = s + 4*s - 4*s. Give a(p(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1132317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1074\/153 - 7 - -5*2\/30?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -6*n**2 + 0 - 2\/3*n**3 - 3\/4*n**4 + 0*n - 7\/30*n**5. Factor a(d).\nAnswer: -2*(d + 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*n - 33*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4*x**2 + 30*x**3 + 5*x**2 + x + 5*x**2 + 9 + 2*x**2. Let s be p(-7). Let l = 23796 + s. Round l to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.250142 microseconds in hours?\nAnswer: 0.000000023680595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 15. Let z be (-32)\/20*l\/4. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -s + 2 + 54*s - 14*s as d + g*s and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (((-2 - 16) + 10 - -10) + -4 - -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24947476 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 2*z + z - 12, 2*t - z + 4 = 0. Suppose -d + 6*d - 10 = t. Let f be 3 - 4 - (-1)\/d*6. Solve 3*y = 5*g - 22, -4*y + 0*g + 14 = f*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*l + 21*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -9*p**3 - 2*p**2 - 2*p. Suppose 6 = 4*z - 5*f, -4*f = -3*z + 2 + 3. Is 4 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26490 by -2.\nAnswer: -13245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*w - 95609 - 86155 = 0. What is the highest common factor of 594 and w?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 178227 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125799?\nAnswer: 3, 19, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3885, 3884, 3883, 3882, 3881?\n\"Answer: -f + 3886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -11*(-24)\/(-660)*(390 - -1). Which is bigger: -155 or h?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = -4*i - 11, 3*i = 3*p + 2*i + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 138 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 AM and 7:29 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -293158, -293225, -293292, -293359, -293426?\nAnswer: -293493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(176)*-2 + 4)**2 + (5 + (sqrt(176)*-2 - sqrt(176)) + sqrt(176))**2*4.\nAnswer: 20532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/50064 and -155\/486336?\nAnswer: 3404352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-4))\/(-2*4\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 4 - 5 + l + 0*l**3 - l**3 + l**2 - 2*l. Suppose m - 82 = -84. Let q(n) = 2*n**2 - 2*n - 2. Calculate m*q(y) + 4*d(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -12 times 43.89\nAnswer: -526.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -121 + 49. Let k = 77 + g. What is the closest to 1 in k, 10, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -623512 + 25249\nAnswer: -598263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/(-42)*7\/(-4)*8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-320)\/800 + (-82)\/(-5). Solve -i - 84 = -20*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18520 a factor of 8390487097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 625421407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -147\/2 - -75. Let k(n) be the first derivative of -l*n**2 - 7*n - 6. Differentiate k(x) wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21022210 - 1111010012?\nAnswer: -1012210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/3))**44\/(a**(-2))**(6\/7))**(-8\/7) assuming a is positive.\nAnswer: a**(-2752\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 - 9*g**2 - 66*g + 834. Let q be t(12). What is the greatest common factor of q and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 707503 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/7)\/(0 - -1). Put -0.2, i, 0.4 in increasing order.\nAnswer: -0.2, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6.77 and -0.96971.\nAnswer: -6.5649367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1074223.\nAnswer: 1074223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 171427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.109 + -0.109. What is the nearest to z in 1.5, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1477\/55 + 291\/11. Put 5, -196, x, 2\/13, 4 in ascending order.\nAnswer: -196, x, 2\/13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/90 - (2432\/(-7040) + (2 - (-7)\/(-3)))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/106766 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -555 * -0.1.\nAnswer: 55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 11:19 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5550*x + 2953*x + 7938*x.\nAnswer: 16441*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2505 is divided by 593.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 679.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/((9\/(-15)*2)\/(315\/350))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 749*j + 38969. Determine q(-52).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -507\/49, 18.3, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 l when four letters picked without replacement from {l: 3, w: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -t - 36. Suppose -4*k - 4*s + 1164 = 0, -k - 2*s + 6*s = -296. Let o = k - 285. What is the remainder when t is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 33071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 115 + -63. Suppose -s + u = 50. Suppose -s*j + 6 = -0. Solve a + 20 = -j*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.19 or 68\/111?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -220*-24.\nAnswer: 5280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(112))**2 - (-4 + sqrt(28)\/sqrt(4))) + -3.\nAnswer: -sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 + 3*g + 4. Suppose 0 = 3*u - 5*d - 9, -3*d - 9 = -4*u + u. Give k(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 4*n + 13 - 3 = 0, 31 = 3*m - 5*n. Let t be (-1)\/(m\/13 - (-50)\/(-156)). Find the second derivative of 0*v + 13*v**2 + 13*v - t*v**2 + 0*v wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12*(630\/(-36))\/35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3729, 7446, 11163, 14880, 18597?\n\"Answer: 3717*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01822 to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8765730 is divided by 615?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -3, 5, 2\/5, 2, -5 in increasing order.\nAnswer: -5, -3, -1\/3, 2\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -22\/5, -3\/2, 1\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/2))**(2\/17)*(h\/(h\/(h*h**(2\/3)))*h*h)\/(h*h**6\/h*h*h*h)*((h**(-4)*h*h)\/(h*h\/h**(3\/7)))\/(h\/(h\/h**0))**(-39) assuming h is positive.\nAnswer: h**(-3158\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1126 - 566. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2381, 2393, 2393, 2375, 2333?\n\"Answer: -a**3 + 19*a + 2363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of t**2*v**4 + 4*t**2*v**3 + 5*t**2*v**2 + 5*t**2 + 137*v**4 + 37*v**2 wrt v.\nAnswer: 24*t**2*v + 24*t**2 + 3288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.28 * 0.2.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -0.4  (b) -2  (c) 7  (d) 1.04  (e) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -3*d + 2*d. Sort -119, d, -2 in increasing order.\nAnswer: -119, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -3, 5, 28, -10, -53.\nAnswer: -53, -10, -6, -3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12101 - 1?\nAnswer: 12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3*s**3 - 4*s**2 + 5*s - 3 - 3*s**3 + s**3. Let a = 88 + -85. Let y be x(a). Solve -4*u - y = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1166075 times 0.02\nAnswer: -23321.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -50779 minus -4?\nAnswer: -50775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 21392665 divided by -7?\nAnswer: -3056095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uxx when three letters picked without replacement from xxxxxxxxxxxxxxuxxx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - 1. Let w = 1.75 + h. Let c = w - 0. What is c rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 204 = -5*b, 5*h = -3*b - 153 + 25. Let l = 29 + b. Let c = l - -22. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1790155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 102400 (base 7) in base 8?\nAnswer: 42431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5080353?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -3832.1  (b) -2  (c) 0  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -272 (base 12) in base 9?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c - 5. Let x be w(7). Let z(s) = s**2 - 2*s + 3. Let o be z(x). Suppose 0*m - 4*p = -m - 14, 0 = 5*m + p - 35. Solve m*r = o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyywywyw. Give prob of picking 3 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, 22372, -8, -0.5, -2\/7 in descending order.\nAnswer: 22372, -2\/7, -0.5, -4\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6006856.09 + 5971651. Let w = 35490 + c. Let p = -288 + w. What is p rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**4)**(-46) assuming f is positive.\nAnswer: f**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/2)\/(24\/(-18)))\/((-21573)\/10152)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*m + 6*k - 106949 = k - 106849, -4*k - 32 = -2*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/1744 and 27\/65?\nAnswer: 113360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102 (base 3) to base 13.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a + 10. Let s be z(7). Suppose 4*m = 4*u - 28, 0 = -u + s*u - 5*m - 14. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 8 - z**3 - 76*z**2 + 3*z + 146*z**2 - 76*z**2. Let o be (18\/21)\/(-2 - (-52)\/28). What is n(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - o - s = -31, -3*o = s - 22. Let w be -5*(o\/6)\/(90\/(-24)). Find the third derivative of 4*j**5 + 12*j**3 - 5*j**5 - 9*j**w - 12*j**3 wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r**2 + 6*r + 1. Let w(x) = -x**2. Suppose 0 = -3*p - 2*l - 1, -3*p - 4*l + 2 = l. Let c(q) = p*t(q) - 2*w(q). Let f be c(-5). Solve -m = f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 60\/(-112) + (-24)\/(-84). What is the second smallest value in 1, 3.7, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.51 - -2.49. What is the biggest value in t, -2, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -5*b + 124. What are the prime factors of h(0)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*j - 5*j. Let y(l) be the first derivative of 1\/10*l**5 + 0*l**4 + 0*l**3 + 3 + 1\/12*l**6 + 0*l + 0*l**j. Factor y(k).\nAnswer: k**4*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.6 in -1\/7, -2, 172\/1565?\nAnswer: 172\/1565","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 = -4*m - a, 3*a + 43 - 145 = -3*m. Let z = -126 + 135. Suppose z*g - 49 = 95. Calculate the remainder when m is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + 0 + sqrt(2) + sqrt(2))*-1 - sqrt(18)\/(sqrt(9)*-2).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(9)\/(1*sqrt(108)) + -2) - (6*-2*(sqrt(363) + -1*sqrt(363) - sqrt(363))*-5)**2.\nAnswer: -1306798 - sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-130) + 912\/2600?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t = -18*t + 58. Calculate the highest common factor of t and 514.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4290999.3 nanoseconds in weeks?\nAnswer: 0.00000000709490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 + -5. Let d = 8 + i. Let w = d - -22. Solve -u = -w*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -r**4\/24 + 132*r**2 + r. Let g(v) = 0 + 9*v**2 + 0. Calculate q(g(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 - (1 + (-13 + 9 - 3))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 9 = -r. Let x(s) = s**3 + 10*s**2 + 7*s - 5. Let c be x(r). Suppose -2*u + 127 = -c. Round u to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-112)\/(-420))\/(1\/((-210)\/(-14))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.1, 82.3, -0.0685 in descending order.\nAnswer: 82.3, -0.0685, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 411  (b) 0  (c) 3  (d) -3  (e) -225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1564\/3 or -521?\nAnswer: -521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 1 = -0*n + i, -n - 1 = i. Factor 2\/3*o + n - 2\/3*o**2.\nAnswer: -2*o*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z + 3. Let l be s(-2). Solve -5*y = 5*v, 3*v + 4*y + l = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20128 and 46324.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (16 - 3) - (1 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14500 and 190530?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 132 = o, 2*v - v = 5*o + 66. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 75223433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14\/9 in -9, 5, 1\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*y**2\/9 + 542*y\/9 - 535\/9.\nAnswer: -(y - 1)*(7*y - 535)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -44247 - 1653?\nAnswer: -46011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of 1\/60*i**6 - 43\/24*i**4 + 0*i - 9\/20*i**5 - 3*i**2 + 0*i**3 - 1. Find the second derivative of l(w) wrt w.\nAnswer: 12*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 2:07 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of 3*u**2\/2 + 9*u - 30. Let g(y) = -2*y - 8. What is 4*f(r) + 5*g(r)?\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = n - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w + 10. Let n(p) = 4*p**2 - 10*p + 1. Let j(a) = -5*a**2 - 1 - 5*a + 5*a + 11*a. Let r(l) = 5*j(l) + 6*n(l). Let b be r(-6). Determine t(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.21167 rounded to 2 decimal places?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 110\/156 - (-2)\/(-3). Suppose -2 = -65*k + 64*k. Suppose -3*s - 4*i + 2*i = -3, -5*i - 2 = -k*s. Is g less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-42752)\/20 - (-4)\/(-10). Let b = -147943\/15910 + -2\/1591. Calculate the common denominator of b and (-8)\/28 + k\/(-672).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/5 + (-92)\/(-3120)*-7 and -71\/18?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -218 or -230?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 20\/19  (b) 0.3  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*c - g, -3*c + 29 = -0*c - 5*g. Suppose 0 = -a - c + 17. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -469*a + 140701. What is f(300)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23)\/((-460)\/15) - ((-327)\/12 + -3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/7, 9, -13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-2\/9)*u)**(-5)\/((u**6*u)\/u**5))**(-1\/13) assuming u is positive.\nAnswer: u**(53\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-76)\/(-836) + (-1118532)\/(-33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 511*r - 17 - 2 - 112*r.\nAnswer: 399*r - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (98\/(-12))\/1 + (-130)\/(-2015)*124?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.918 to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.12 + -0.23. Let l = u + 0.06. Suppose -5*v = -v - 4. Sort l, -2, v in decreasing order.\nAnswer: v, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 33416491 - -8?\nAnswer: 33416499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31387?\nAnswer: 31387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -3*f**4 + 156*f**3 + 339*f**2 - 9864*f + 17172 = 0.\nAnswer: -9, 2, 6, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1500\/(-75)*((-12)\/(-5))\/4)\/(9\/24)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, m: 2}. What is prob of picking 2 t and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z - 14*z = -2. Suppose -z*m + 3*m + 8 = l, 4*m = -8. Calculate the greatest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25)\/(900\/(-24))*(-6)\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {u: 5, l: 14}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1360216 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + (0 - 1))\/3*-6. Let b(y) = -2*y + 4*y**2 + 6*y**2 + m - 4 + 4. What is the remainder when 73 is divided by b(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.327 + 0.347. Let t = 9 + -9. What is the closest to 2\/9 in q, -1, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -780\/6013?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -70 + 74. Suppose -d = 4*b + b - 40, -3*b + 15 = 0. Suppose 12*u = d + 9. Solve 0 = l - u*l + p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 7*p**4 - 3*p**2 - 6*p + 1277. Let b(k) = -2*k**4 + k**3 - k**2 - 2*k + 2. Let s(y) = -3*b(y) + d(y). What is the first derivative of s(i) wrt i?\nAnswer: 52*i**3 - 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of 4 + 0*q**2 - 4\/3*q**3 + 0*q. Let r(y) be the first derivative of -y**3\/3 + 2. Determine w(r(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 - 87106032*n - 87106036.\nAnswer: 4*(n - 21776509)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/19223940 and -179\/4523280.\nAnswer: 76895760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 373 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 5*t + 4. Let s be p(-5). Suppose s*h - 2 = 18. Suppose 0 = -h*f + 6*f - 56. Is f a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 7) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o + 12. Let t = 74 + -68. Calculate the least common multiple of i(0) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -40 - -60. Suppose -20 = -2*y + y + 2*o, 0 = 5*o + k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wcn when three letters picked without replacement from zjwjznujncjzuc?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*t - 35339 - 19*t + 3*t**3 + t**2 - 2*t**4 + 35346 to the form o*t + m*t**4 + a*t**3 + k + y*t**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-45)\/27 + (-4)\/(-6). Let h = 0.2 - -0.1. Let o = 3.8 - -1.2. What is the closest to b in o, h, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 + 22*l**2 - 22*l + 25. Let o be i(21). Suppose -9 = -2*h - 5*r, h + 2*r = -o*h + 12. Solve h*z + 2 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -318*t**3 - 7*t**2 - 12*t + 66910 wrt t.\nAnswer: -954*t**2 - 14*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/8 + 0 + -1. What is the third smallest value in -0.1, g, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -1. Let m = -4 - -5. Which is the smallest value?  (a) 4  (b) m  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -56537*z**4 + 2*z**2 - 4*z - 361 wrt z.\nAnswer: -1356888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -10*h + h**2 + 12 + 2 - 3. Is g(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27*((-200)\/(-30) - (10 + -3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -10*r**3 + 2*r**2 - 14*r - 108. Let n(p) = -9*p**3 + 2*p**2 - 12*p - 109. Let g(s) = -7*n(s) + 6*x(s). Find the third derivative of g(y) wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 342 - 671. Let t = 482 + o. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.7548627 litres?\nAnswer: 754.8627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3118 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 973 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -9596.5 * -11\nAnswer: 105561.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 4*l + l = 0, 2*z - 4 = -2*l. Sort z, -4, -3 in descending order.\nAnswer: z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2*w**3 - 2 + (-4*w**2 - 8*w**2 + 2*w**2)*(w - w - w).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0022658407 rounded to 5 decimal places?\nAnswer: -0.00227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 830*z - 2315*z**2 - 830*z + 78.\nAnswer: -2315*z**2 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22\/535 or 1\/2?\nAnswer: 22\/535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(1\/(-543))*83\/249. Let t = m + 177. Let h(f) = -f**2 - 5*f - 4. Let k be h(-3). Put k, t, -3 in increasing order.\nAnswer: t, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*i**2 - 2*i**2 - 3*i**2 + (1 + i**2 - 1)*(0 + 0 - 2) + 0 - i**2 + 0 + 1 + 2*i**2 - 1 - 2*i**2 - 1 + 1 + 8*i**2 + 4 - 4.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-24)\/(-5))\/(30\/(-375)). Which is smaller: k or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 7*w**2 - 6*w**2 + 4 - 4. Let h(j) = 2*j**2. Determine h(a(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14727*w + 14799*w - 216 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/21112 and -69\/308560?\nAnswer: 4011280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2751.6432 months?\nAnswer: 229.3036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10448613 and 40301793.\nAnswer: 282112551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 120200213302 - 1?\nAnswer: 120200213301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**3 + 6*h**2 - 4*h + 20. Let u(j) = -j**3 + 4*j**2 - 3*j + 13. Let o(t) = 8*u(t) - 5*x(t). List the prime factors of o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/200 and -81\/640.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -231 times -17\nAnswer: 3927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/3))**50\/(g**3\/((g*g\/((g\/((((((g**(1\/3)\/g)\/g)\/g)\/g)\/g)\/g)*g)\/g)*g*g)\/g)))**(11\/5) assuming g is positive.\nAnswer: g**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -171 divided by 29\nAnswer: -171\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-240)*-4*5*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/114374 and -121\/19188.\nAnswer: 84408012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sskkskkkskkkkksk. What is prob of sequence skkk?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 867*d**2*i*m**3 + 18*d**2*i*m**2 + 2*d**2*i - 47593*d*m - 4*m**2 wrt m.\nAnswer: 5202*d**2*i*m + 36*d**2*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 721570149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 785181?\nAnswer: 3, 79, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -227 - -272.9. Let a = h + -65.6. Let f = a - -20. Put -3, f, 0 in descending order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 2*x**2 + 4*x + 2. Suppose -4*s - 42 + 18 = 0. Let u(a) = a + 7. Let t be u(s). Let l(y) = -3*y + 1. Let p be l(t). Determine v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 3, 1, -57.\nAnswer: -57, -13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 9*m**3 + 2*m**2 - 44*m + 1. Calculate k(-3).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8353517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5882 divided by -346?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -354900 rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -158674\/75 + 10583\/5. Let z = 2173\/5 - 431. Find the common denominator of r and z.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.46 + -0.08. Let r = 0.1 - 0.08. Let v = r + s. Which is the nearest to -0.1?  (a) -2\/7  (b) v  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 0 - -10 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9568 + 9567. Which is the closest to 1?  (a) 0.1  (b) -6  (c) h  (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -4. Let p = 2 - 4. Let x = p + 1. Is x at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of t**4\/16 + 34*t**3\/3 + 4339. Determine r, given that w(r) = 0.\nAnswer: -136, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3474870563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 458519248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + x)*(0*x**2 + x**2 + x**2)*(2074*x + 3839 - 3839).\nAnswer: 4148*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (825\/396)\/(3\/(-24))*3\/(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Subtract -276.7 from 303062356.\nAnswer: 303062632.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 587647453 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -584.97 and 11.7.\nAnswer: -573.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00044516 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 356, 368, 394, 440, 512?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -184.1948 and -2?\nAnswer: 182.1948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 2*m**2 - 2081*m\/6 + 89999\/6 = 0?\nAnswer: 989\/12, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -268978, -268938, -268902, -268870, -268842?\n\"Answer: -2*w**2 + 46*w - 269022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 99 and 31653?\nAnswer: 348183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20 - 20. Let u be 8\/(-15) - 2\/(-5). Do c and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11360 - -28386. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 6 = 6*f. Let c = 3 - -8. Let h = c - 11. Solve h = -3*x - 3*u - 2*u - 15, f*x - 3*u + 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of 13*z**3\/6 - 9*z. Let i(y) = 2*y. Give u(i(k)).\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.26 + -17.74. Let q = k - -18.00000098. Round q to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 0 - 5)*(2 + 3 + 1)*(-w - 1423 + 1450 + 2*w)*(0*w - 5*w - 3 + 7*w) as k*w + f + h*w**2 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4475 + 3815 = 10*u - 70*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -628, -626, -624, -622?\n\"Answer: 2*p - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((30\/165)\/(3\/33))\/16\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*h**3 + 32*h - 32*h)*((-3 + 3 - 2)*(-6*h**2 + 0*h**2 + 4*h**2) + 42*h**2 + 212*h - 212*h)*(1 - 1 - 1).\nAnswer: -414*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -15 * 109\nAnswer: -1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 + 195*r**2 + 202*r**2 - 35 - 395*r**2.\nAnswer: 2*r**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1008) + ((sqrt(1008) + -3)*4)**2.\nAnswer: -1140*sqrt(7) + 16272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/708498 and -19\/2.\nAnswer: 708498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2124aa - -14?\nAnswer: -212496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -11 - (22 - 26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-2\/17))\/j*j**5\/j)**(-35) assuming j is positive.\nAnswer: j**(-2450\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -24. Let d be (-1)\/(-4) + v\/(-44). Let g be (d + 8)\/((-2)\/(-1)). Solve -11 = i - 4*n, -4*n = 3*i - g - 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 321*t + 0 + t**3.\nAnswer: t**3 + 321*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 1 + 5 = 4*c, -2*c = -4. Let h be (r\/1)\/(22 - 0). Let q = -0.6 + -0.4. What is the closest to -2\/5 in q, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9299.8 - 9299.8046579. Round s to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1938796 and 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*f = -17*f - 3*o, 2*o - 13 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 414*s - 939*s + 502*s.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19690736 divided by -1514672.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 5.7. Let l = 169\/2 - 82. Let d = -11\/4 + l. Sort -2\/11, d, a.\nAnswer: d, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 2*j + 1 + 5, -5*x - 9 = 4*j. Let d(i) = 2*i**2 + 1. Let p be d(-1). Let y(q) = p - q - 2 + 3*q. Let n(s) = s + 1. Determine x*y(u) + 3*n(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -3*w**2 + 107*w + 1\/6*w**3 + 0. Give m(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-32))\/((-6)\/(-32)*-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 17 = 2*a. Let k(i) = -4*i**2 - 152*i + 7. Let z be k(-38). What is the units digit of 3*a + z + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (55\/(-10) + -5)\/((-6)\/8). Let -245*u**2 + 11*u**3 + 60 + 35*u**4 + 14*u**4 - u**3 - y*u**4 + 140*u = 0. What is u?\nAnswer: -3, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -257\/1950 + -1\/650. Let t = 14548 - 14552. What is the second biggest value in -1\/3, 0.4, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -13 - 24*1\/(-3). Which is the nearest to -1\/3?  (a) y  (b) 1  (c) 3.3  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/90 + 133\/(-342).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 341355*r - 791073*r + 2575035*r + 1259394*r.\nAnswer: 3384711*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -108, -190, -280, -384, -508?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30181 - 7246*v + 30181 + 36771*v)*(-2 + 5*v - 3*v - v).\nAnswer: 29525*v**2 - 59050*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-7 + 3) - 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2399*g**3 + 1325*g + 27981536?\nAnswer: -7197*g**2 + 1325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -40  (c) 12  (d) -4  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 51480 and 92404.\nAnswer: 91479960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**3 + 2*s**2 - 3*s. Let x(a) = 5187*a**3 + 14*a**2 - 21*a. Give 14*m(r) - 2*x(r).\nAnswer: -10346*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 8*r - y - 165 = 0, y = -3*r + 153. Put r, 31, 2 in descending order.\nAnswer: r, 31, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ea4c - -1?\nAnswer: -ea4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1013 - 663. Let k = -219 + m. Is 1*((1 - 1) + k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 613680869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 228 + -227. Let l = 3 + 2. What is the second biggest value in u, -1, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/26 + 374108\/806.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*x - 30 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1997, 3997, 5997, 7997, 9997, 11997?\nAnswer: 13997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/790 and 69\/1985902.\nAnswer: 9929510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(21)*1)\/sqrt(3) + sqrt(7) + 3*(sqrt(28)\/sqrt(4) - sqrt(7)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -93*z**2 + 27*z + 191*z**2 - 93*z**2 - 1 - z. Let r(f) = -f**2 - 5*f. What is 2*o(i) + 11*r(i)?\nAnswer: -i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 298961206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 28 = 3*x, 4*x - 21 = -2*i - 57 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10124214 (base 5) to base 8.\nAnswer: 242163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from cueeceueeecuc?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 4*l**3 - 6*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 36833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-51)\/(-7) + 9\/((-126)\/4). Let s**4 - 14*s**2 - 11*s - 3 - 6*s**3 + 4*s**5 + 3*s**5 + m*s**5 - 13*s**5 + 0 = 0. What is s?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -124, -156, -160, -130?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/40 and -53\/44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 21682564757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56 divided by 16.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -3*t - 20, -3*r + 5*t + 22 = -50. Suppose 204 = 5*c + r. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200458 - 51374 = -84*h. Solve -40 = -2990*d + h*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3535 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 + 6*o. Suppose -6 = -w - 2. Suppose -5*c = -2*s - 108, w*s = 8 - 4. Calculate the least common multiple of x(-5) and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20088\/(-23436) - 2811\/(-21)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1.802395l?\nAnswer: 1802.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2135548353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 349598 > 349597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7016834 and 5008?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-6)\/(-6)*(-6)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/9, -1\/3, -0.09, -3 in decreasing order.\nAnswer: 14\/9, -0.09, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123, 253, 385, 519, 655, 793?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -7*o + 2. Let x be g(-4). Suppose -2*c - x = -a + c, c = -4*a + 120. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -14\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (153\/18 + -9)\/((-1)\/(-2)). Is 4 - (-2495 + q + -7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1433, -1435, -1437, -1439, -1441, -1443?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -128, -1060, -3576, -8468, -16528?\n\"Answer: -132*p**3 - 8*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 24*n**2 - 6*n - 8. Give k(-2).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(2\/(-2*3\/15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 1050 = 5*y, -y + 4*y + 4*q - 613 = 0. Let o = -97 + y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 406 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lkkislslgsga. Give prob of sequence akks.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10.83 - 0.17. Let o = -11.5 - u. What is the third biggest value in o, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = b - 4, -2*b + 2*h + h + 6 = 0. Suppose -q + 2*q - 3 = b. Which is bigger: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 1790.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 25749209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -8674 + 94*j + 8674 as i + b*j and give b.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -575.5 + 575. Which is the second biggest value?  (a) r  (b) 1  (c) -3\/8  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -4*o**2 - 43*o - 283. What is z(-13)?\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 406873 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of 1\/30*n**6 + 0*n**4 + 0*n**5 + 6*n**2 + 0*n + 0 - 47\/6*n**3 + 1\/42*n**7. Differentiate a(s) with respect to s.\nAnswer: 20*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 9:39 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 AM and 11:35 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 12:09 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -428, 93, 10 in descending order.\nAnswer: 93, 10, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.9 - 9.9. Sort -1, 0.03, a, 1\/6.\nAnswer: a, -1, 0.03, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -2  (b) 1  (c) 3  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 31*y - 35. Let q(g) = 6*g - 7. Let h(l) = 2*d(l) - 11*q(l). Let k be h(1). What is the nearest to -1 in -13, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of -3036*p**7\/7 + 1142*p**3 + 1369. Find the third derivative of j(t) wrt t.\nAnswer: -364320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4 = 14. Let a = -195 + -75. Let v be (-76)\/(-22) + a\/(-495). Solve -5*r + v = k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3156751.\nAnswer: 13, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 916 by 1.\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*t**2 + 3*t**2 - 6*t**2 - 11*t**2.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 - -35. Solve -4*v - v + x*k - 7 = 0, 3*k - 9 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange m - 2503*m**2 + 2509*m**2 - m to s + h*m**2 + g*m and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3451 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, j: 2, x: 1, u: 1, r: 1, g: 2}. What is prob of sequence tgx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -10*m - 4. Let y = -2963 + 2964. What is b(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/33 and -69\/70595.\nAnswer: 2329635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 3*a - 996 = -y, 4*y - 1322 = -2*a. Suppose -3*r + r = 5*w, -4*w + 18 = -2*r. Suppose i + y = w*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105573269.\nAnswer: 4451, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -3*h**2 + 2*h - 5. Let m(q) = q**2 + q + 1. Let y(j) = a(j) + 5*m(j). Let s be y(-9). Suppose 3*z = 6*z + s. Round z to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, z: 2, r: 4, m: 4}. What is prob of picking 1 z and 1 r?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.68  (b) 467  (c) 1\/2  (d) -4  (e) -1  (f) -5  (g) 2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 12*s + 40. Let v be x(-3). Let c(t) be the first derivative of -5*t + 0*t**3 + 0*t**2 + 1\/2*t**v + 4. Find the first derivative of c(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4678269 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 3*p - 15, -20 = 5*b - p. Suppose 7*l = 8*l - 2. What is the closest to 2\/5 in -0.2, l, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*a + 1085 - 845 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139489.\nAnswer: 7, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-51)\/(-15) - (-4)\/(-10). Let k(n) = -n**2 + 3*n - 4. Let j be k(v). What is the remainder when j\/14 - 405\/(-21) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.1 - 5.121. Let q = -0.021113 - w. What is q rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-15)\/o)\/o**(2\/11)*(((o*o\/(o\/o**(1\/7)))\/o)\/o)**(-8) assuming o is positive.\nAnswer: o**(-718\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t. Let n(u) be the second derivative of 17*u**3\/6 + u**2\/2 + 559*u. Calculate 3*f(p) - n(p).\nAnswer: -14*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 704075  (b) -1\/6  (c) -5  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 42411\/14 - 3021. Let a = 18047\/5154 - 4\/2577. What is the common denominator of a and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8786 - 8720 - (-4 - (2 + -1))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1272\/1060)\/(2\/(-15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j. Let x(i) = -7*i - 101555. Give o(x(a)).\nAnswer: -7*a - 101555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-5)*5\/(-2). Let q = 87733.7 + -87734. Sort 4, q, 1, n in descending order.\nAnswer: 4, 1, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 344 is divided by 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8638\/77 - (2\/11)\/1. What is the greatest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - 2*s**2 - s - 16. Let y be m(3). Let v be (-48)\/(-90) - (-4)\/y. Let j = 2 - 1.5. What is the third biggest value in v, j, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.94 - 1. Let g = r - -0.06000045. What is g rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 1601 = -4*f - 333, 2*d + 771 = f. Let w = -147 - d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**3 + 3*v**2 + 4*v + v**3 + 8 - 6 + 1. Let a be j(-5). Suppose 2*h + a = 5*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102100220022000 (base 3) to base 16\nAnswer: -5c2c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 82116869 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*w + 1794 = -6*h, -4*w - 76 = -3*h + 245 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1570717 (base 8) to base 7.\nAnswer: -3603610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 34*c + 9. Suppose 0 = -8*b + 32 - 0. List the prime factors of w(b).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 14230743?\nAnswer: 28461486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 264\/935 + (2 - (-160)\/(-85)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 413 + -2477\/6. Put -13, 0.2, s, 4 in descending order.\nAnswer: 4, 0.2, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, e: 2, a: 5, i: 1, p: 6}. What is prob of picking 2 e and 2 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00028976862398 to six dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - 12. Let c be 18\/21 - (2 + z). Which is smaller: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11.464 times 1\nAnswer: -11.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8 - 0)\/(-3*2\/(-426)). Let p = -544 + q. Calculate the remainder when 215\/3 - 2\/3 is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of -k**8\/131040 - k**7\/16380 - k**6\/4680 + 9*k**5\/20 - 12*k**2. Let d(x) be the third derivative of f(x). Factor d(i).\nAnswer: -2*(i + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1524781?\nAnswer: 17, 257, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/18 - 8\/9. Let o = 376\/1101 + -3\/367. What is the nearest to -1 in o, c, 4, 6\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**2\/6 - 107*x\/3 - 140 = 0.\nAnswer: -210, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-9)*6\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1323726865?\nAnswer: 5, 19, 13933967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5085\/44 - 471\/4. Let x = -146\/77 - u. Factor x*l**3 + 0 - 2\/7*l**2 + 0*l - 2\/7*l**5 + 2\/7*l**4.\nAnswer: -2*l**2*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 258*w - 250*w**2 - 258*w.\nAnswer: -250*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2670264.\nAnswer: 2, 3, 37087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/25  (b) -2\/37  (c) 1714\/7  (d) 0.3  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + g**2 - g - 2. Let j be (-4)\/(-3)*6\/(-4). Let h be t(j). Let m be (-11)\/(-3) + h\/6. Let x(c) = -c**3 + 2*c**2 + 4*c + 1. Determine x(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 465 and 1850?\nAnswer: 172050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 plus 0.735451483825?\nAnswer: 0.835451483825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-544)\/(-40))\/(68\/(-170)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 - 2*p - 8. Let w be 8\/1*(-9 + 7). Let z(u) = u**2 + 16*u - 2. Let r be z(w). Let i be s(r). Put 5, i, 1 in ascending order.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/50 and 137\/1320.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2\/3, 8.66 in descending order.\nAnswer: 8.66, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 4:06 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1250 = 5*c - 5*l, -2*c + 0*c = 4*l - 488. Calculate the greatest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 8*m - 1. Let t be v(1). Let h = t - 2. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 + -39 + 32 + 102.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 868764 divided by 5\nAnswer: 868764\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401113 is divided by 5144?\nAnswer: 5025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 - -2)\/(1\/(-2)). Suppose -5*p - 27*d = -26*d - 30, -10 = 2*d. Solve -p*r = -5*r - u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*f**2 - 8*f**2 + 4*f**2)*(3*f**2 - 1 + 1).\nAnswer: -33*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 25*d + 3270 = -28*d, 0 = 3*l - 3*d - 2454. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in -0.03, -77, 1\/4, 299?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - w = -19, -12 = -4*r - 2*w + 4*w. Suppose 3*x + 1 = r*h - 0*h, h - 1 = x. Let d = 2 - 0. Put h, d, 4 in descending order.\nAnswer: 4, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7152 divided by -3\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - m = 10*m. Let i(f) be the second derivative of -7\/6*f**3 - f**2 + m + 5*f. Differentiate i(u) wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 3*d + 24 + 56 = 41, -3*w - 372*d = -80*d - 840 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22935808 is divided by 3822609.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -112, -223, -334, -445, -556?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 11 = q, 3*q = 3*k - 7*k + 17. Let u(g) = -g**2 + 4*g - 4. Let d be u(q). Is -6\/13 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 106 - -11?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7348635 by 2583.\nAnswer: 2845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 145926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16164613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 142661, 142632, 142603, 142574, 142545, 142516?\n\"Answer: -29*a + 142690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*j**2*s - 1019*j**2 + 3781024*j*s + 598*j wrt s.\nAnswer: 2*j**2 + 3781024*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, -7, 5 in ascending order.\nAnswer: -43, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/55*2)\/(2\/30). Suppose -2\/11*n**3 + 2\/11 - 6\/11*n + k*n**2 = 0. What is n?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -2*t + 16, 5 = -2*t - 3*t - 5*b. Let j be t\/(-8) + -1*(-2)\/4. Let m = 0.41 + -0.37. Which is bigger: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-5)*8\/6*(-6)\/20?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -2 - 0. Let k = 19 + -14. Let h be ((5\/6)\/k)\/((-120)\/20). Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 310140951 is divided by 4482?\nAnswer: 4479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 - -8. Let i(w) = 3*w**2 - 7*w + 3. Let p(v) = 2*v**2 - 5*v + 2. Let h(s) = d*p(s) + 5*i(s). Determine h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160720 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -9 - 1 - -16 - (-10 - 5)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26282*u**5 - 416*u**3 + 3*u**2 - 24887005*u wrt u.\nAnswer: -1576920*u**2 - 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -483*x + 89 = -394*x. Let o(p) = p**2 - 4*p + 4. What is o(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43915*j + j**2 + 43915*j + j**2 + 0*j**2 - 14150.\nAnswer: 2*j**2 - 14150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 363 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000108438112 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -534 = -2*y - 210. Is y a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 55 = 0, -24*l + 11*l + 24 = -3*i - 10*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1211 - -1451. Calculate the highest common divisor of 2928 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -46898*t. Let n(p) = -2*p - 406. Determine i(n(a)).\nAnswer: 93796*a + 19040588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8435 = -4*j + 1001. Let p = -1242 + j. Suppose 7*x - 8*x - 4*r + p = 0, -3*x + r + 3325 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h - 1. Let f(j) = j**3 - 15*j + 3. Calculate 2*f(i) + 6*l(i).\nAnswer: 2*i**3 - 24*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 943970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -37*u**4\/24 - 20*u**3\/3 - 5*u**2. Is w(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 162 - 160. What is the second derivative of -5*u**4 - 14*u**4 - o*u**3 - 50*u - 77*u + 4*u**4 wrt u?\nAnswer: -180*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 272963700 to the nearest 1000000.\nAnswer: 273000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -4*a + 3*t, -4*t + 2*t = 8. Let n = 16 - a. Solve -4*s - 28 = n*z, 4*z - 3 + 21 = s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4 + 8*f + 15 - 7*f. Let o be q(-5). Suppose -3*i - 75 = -o*i. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 l when four letters picked without replacement from {l: 3, r: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124057 - 38605 = 6219*r - 7187 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1004 by 10.\nAnswer: -502\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 + 6*a**2 - 2*a + 6. What is t(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1. Suppose g*n = 3*n. Is 38\/(-6)*(-3 - n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 6) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**7*i)\/i*i*i**8\/i*i**(3\/5)*i**9 assuming i is positive.\nAnswer: i**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 2*d + 1, 0 = -0*y + 3*y - d - 13. Suppose -4*g + 248 = -4*k, -y*k + 30 + 44 = g. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -4101.772.\nAnswer: -820.3544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7314\/(-2139))\/106*2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - 5*a**2 + 3*a + 4. Let f be d(3). Let n = -2.7 - 0.3. Sort f, -2, n in ascending order.\nAnswer: f, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146310?\nAnswer: 2, 3, 5, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 3  (c) 2  (d) -11.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-68)\/170 - 31094\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -71695\nAnswer: 2\/71695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -7*y + 21. Let t be q(-5). Let i = -50 + t. Calculate the lowest common multiple of 10 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2029 divide 1836335273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + 4*a - 2*a**2)*(-8906 - 2*a**2 - 23*a**2 + 9856).\nAnswer: 50*a**4 - 1900*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 44544 - 99?\nAnswer: 44456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -222*i + 1936 = -46*i. Calculate the least common multiple of 1758 and i.\nAnswer: 19338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1665878131953.99939 - 1665886071797. Let g = s - -7939881. Let j = g + -38. What is j rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456032502 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 65 - 37. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26502, -106013, -238532, -424059?\nAnswer: -662594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d + 1709 - 4*d - 1866)*(-4 + 0 + 1) + (3 - 1 - 4)*(-3*d - d + 2*d) - 2*d - d + 4*d.\nAnswer: 17*d + 471","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - (-4 + 1)) + 5 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -35202900 divided by -7040580\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (v**3 - v**3 - 2*v**3)*(3 + 9 - 5) to the form p*v + s*v**3 + m*v**2 + x and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*6\/9)\/1*1\/(-27).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 16 = -2*n, 3*n + 0*v + v = 8. Suppose -n*g = 4*u + 4, 3*u - 7*g + 3*g - 32 = 0. Let w = u - -10. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(36\/4*1). Suppose 2 + 13 = -3*l. Which is the biggest value?  (a) -0.2  (b) l  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 803, -0.2, -2, -3, 0.057, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of 401408*n**3\/3 + 2688*n**2 + 18*n - 250. Suppose k(o) = 0. What is o?\nAnswer: -3\/448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 1\/8, -18, -21317, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33*m**3 - 2*m**2 + 493*m?\nAnswer: -198*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 + -1345461\nAnswer: -1345460.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.094 - -0.094. What is the second smallest value in -4\/15, s, 2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (1 - -3)*-1. Suppose -2*w - 10 = 4*u, t*u + 5 = -4*w - 0*w. Which is greater: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1024 - 5*p**2 - 1012 + 2036.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -218694*i**3 - 2 - 6 + 8 - 56673*i**3.\nAnswer: -275367*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80 (base 16) to base 2.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/13  (b) -0.001  (c) 0.3  (d) -45  (e) 19\/60\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 83*o**2 - 19*o - 6. Does 6 divide x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 2:18 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 106579.1566.\nAnswer: -106584.1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 760\/(-65) - 2970\/(-1755).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33 + -1 - (-54)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 3*s**2 + 4. Let b be z(3). Let f(h) = -h**3 + 5*h**2 - 5*h + 3. Determine f(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 75143339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2*(0 - (-1)\/2). Suppose 2*l + s = 3*w, 3*w - 29 = -2*l - 0*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (2*sqrt(1053) - sqrt(1053)))*-1)**2.\nAnswer: -72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -139 or -7?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -194\/31 + 1179\/124. Let j = -348653\/31452 + 5\/2621. What is the common denominator of j and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 122*s**2 + 252*s + 500. Calculate z(-124).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3826 + 11473*t + 1895 + 1931 to u*t + x and give u.\nAnswer: 11473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**5\/4 + 13*f**4 - 703*f**3\/4 + 148*f**2 + 1877*f + 1540 = 0. What is f?\nAnswer: -2, -1, 5, 22, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (2 + 5 - 3) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, 7, -2 in increasing order.\nAnswer: -23, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 93*n. Let c(w) = -2*w**2 + 10. Let k(q) = 6*q**2 - 32. Let g be 4 + 14\/1 + -2. Let b(m) = g*c(m) + 5*k(m). What is j(b(i))?\nAnswer: -186*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 353 + -1143?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -2. What is the second derivative of -8*j + 5 - 3*j**l - 5 - j**2 wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1181044504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*l - 2)*(3 - 19*l - 3) + l**2 + 0*l**2 - 4*l**2.\nAnswer: 35*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 33 = -6*w. Suppose 0*u - 2*i + 311 = -w*u, -5*i - 304 = 3*u. What is u rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 11:21 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 126704 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-5) + (6940\/50 - 2). Let d = t - 132. What is the remainder when d is divided by 40\/24 + (-6)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k**4\/11 - 1966*k**3\/11 + 524*k**2\/11 + 7864*k\/11 - 1968\/11 = 0. Calculate k.\nAnswer: -246, -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2300 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (31 - -4) - 1) + 3 - (244 + -252)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 4*z**2 - 10*z. Let v = 8 - 11. Let h(r) be the second derivative of 0*r**2 + r + 1\/2*r**3 + 0 - 1\/12*r**4. Determine v*s(w) - 10*h(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 - 14*g - 27. Determine w(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*d - 19 = -22*d + 5*o, -5*o = -5*d + 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s + 2 = 22. Suppose -8*t + s*t + 1068 = 0. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k. Let z(j) = -16*j. Let i(c) = -8 + 7 + c + 0*c. Let w be i(3). Let a(l) = l. Let h(m) = w*a(m) + z(m). Calculate u(h(f)).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2.66308548*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*h + 39792 - 36*h + 110*h - 33*h.\nAnswer: -h + 39792","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1221 (base 3) in base 14?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from bbbjjffbj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 943?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -139?  (a) -2  (b) -4  (c) -0.1  (d) -0.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4720 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 13*d + 20*d - 32*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*a + 13*a - g - 34, 0 = a + 4*g + 6. List the prime factors of (a\/(-15))\/(-2)*531.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*n**3 - 45*n**3 + 8*n**3.\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r + 563*r**2 - 1750*r**2 + 652*r**2 + 622*r**2 - 6*r.\nAnswer: 87*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w + 3*w - 2*w + 14*w to h*w + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1072, 1956, 3436, 5518, 8208, 11512, 15436?\nAnswer: 19986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 5:08 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 v, 1 n, and 1 o when four letters picked without replacement from {o: 1, n: 10, v: 1, p: 3, m: 2}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.82136692 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*y + 39*y + 3*y.\nAnswer: 35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3*t + 7, 0 = 3*m + t - 6*t + 9. Let w(x) = 0*x**2 + 0*x**2 - 5*x - 5*x**m - 3 - x**3 + 1. Determine w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -31 and -8272781384.92?\nAnswer: 8272781353.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*x + 1531 = 1912 - 7113 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.4183 and -78.\nAnswer: -77.5817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 - 57*l**2 - 62*l + 186. Give t(58).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 26) + 23 + 1 + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lnpl when four letters picked without replacement from qlnlqkhpqqnl.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -4\/13*r + 0 - 2\/13*r**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-4)\/8 + (-3594)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*((-39)\/(-52) - (-10)\/(-8)). Put -2, -1, t in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q + 1 + q - 2*q**2 + 6*q)*(-5*q**3 + 2*q**3 - q**3).\nAnswer: 8*q**5 - 8*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1630965.\nAnswer: 3, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 36, -4, 2\/5 in increasing order.\nAnswer: -4, 2\/5, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/100482240 and 67\/28200?\nAnswer: 502411200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eretereltwettetltt. Give prob of picking 1 r and 1 w.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/22 less than 3294.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 638675.\nAnswer: 5, 59, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 53\/5 of a hour?\nAnswer: 38160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -164 + 417. Find the second derivative of -2*c + 136*c**2 - k - 248 + 542 + 3*c wrt c.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y - 4*y = 5. Let z be 7 - (-4)\/y*(-2)\/4. Let c(m) = -m**3 + m**2. Let k(i) = 2*i**3 + 3*i**2 - 6*i - 4. Let h(v) = -3*c(v) - k(v). Calculate h(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - 4*y + 1 - 5*y**2 + 9*y - 5. Give k(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 205 + -190. Let a be 1 + -3 - (-18 + 2). Suppose x + g = 2*s, 4*s - 11 - a = x. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, j: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -4, 10, 103, -42, 5 in decreasing order.\nAnswer: 103, 10, 5, 4, 3, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) -10  (c) 4  (d) 2  (e) -5442\/7  (f) 5  (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 AM and 7:03 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vt when two letters picked without replacement from tggvxt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1337 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d + w = 9*d - 269, 272 = d - 4*w. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 606296599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (160\/30)\/((-2)\/6). Let t = 0 - w. What is the remainder when 30 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.964948 tonnes?\nAnswer: 964.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 63, 113, 151, 171, 167?\n\"Answer: -w**3 + 57*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + 7608381\/15 - 10\/25. Suppose -3*l + 2*z = 2*l - 634035, 4*l - h = -4*z. Let k = 210193 + l. What is k rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(2448)*-1 + sqrt(2448) + (sqrt(2448) + 1)*-3 + 4)**2.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8962 - 80660\/9. Sort -2, 1, d, 4, 0.14.\nAnswer: -2, d, 0.14, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 90 + (-7)\/(-21)*(-4 - 5). Put x, 2, -9 in ascending order.\nAnswer: -9, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 5*q - 10165, 200 = 3*q + 203. Which is bigger: -2542 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10.4755 - -10.47619939. Round q to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + (sqrt(432)*-1)**2 + sqrt(432) + -2*1*sqrt(432) - -3*-5*2*sqrt(432))*6.\nAnswer: -2232*sqrt(3) + 2610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5\/5102 or 1.45?\nAnswer: 1.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*m + 670 = 0, 0 = -2*c - 2*c - 4*m + 652. Suppose 2*p - c = -p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -498*m**2*w**3 - m**2*w**2 - 5*m**2*w - 11814*m**2 - 13*w**3 wrt w?\nAnswer: -2988*m**2*w - 2*m**2 - 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173366 is divided by 288?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*t + 370 - 402. What is the nearest to 2\/7 in -5, -101, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((100\/15)\/(-5))\/(2\/(-3)). Solve 2*r - 2 - 1\/2*r**i = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -605, -604, -603, -602, -601?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 114195 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/8 - (-309)\/24. Let s be f\/13 + -1*(-85 - -2). What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32350\/83 greater than or equal to 391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from bobbbbobcogcc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by -121.\nAnswer: -8\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*z + 57436 = 140*z. Solve 0 = 352*q - z*q + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 7. Suppose 2*u - 213 = i, 0*i + i + 1 = z. Let y = u - 74. What is the least common multiple of y and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 10*z**2 - 6. Let a be o(-10). Let m(n) = n**2 + 4*n - 5. Let d be m(a). Solve 3*h - d = 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47, -171, -377, -665, -1035?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14.62 - -15.3. Round p to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {p: 1, o: 4, h: 6}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 - 18 - 9 - -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/41))**(-34\/5)\/(w**33\/(w*w**(-36))) assuming w is positive.\nAnswer: w**(-14008\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f + 2. Let i(m) = 5*m + 17. Let p be i(-4). Let t be d(p). Solve 5*y - 11*q + 5 = -6*q, 4*y + t*q = -31 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -779*b + 800*b = -32340. Which is bigger: b or -1539?\nAnswer: -1539","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2568829480.\nAnswer: 2, 5, 7, 9174391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of 0 + 55\/24*v**4 - 5\/3*v**3 + 41*v**2 + 0*v. Find the first derivative of f(k) wrt k.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of 403*x**6\/6 - 339*x**2\/2 - 63. What is the second derivative of y(l) wrt l?\nAnswer: 8060*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 889 + (11 - -1)\/(-4). Suppose -2*y + 136 + i = 0. Suppose 1456 = 9*w + y. What is the greatest common divisor of w and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*p + 516*p - 6148 = 4455 + 2033 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((63\/(-28))\/3)\/(9\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12 plus -3?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71600691?\nAnswer: 3, 23866897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(156) - sqrt(156)*1*-1) + (1*sqrt(156)*-1 - sqrt(156) - sqrt(156)))*-1)\/(sqrt(72)\/(sqrt(12)\/sqrt(2))*1*1).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*m + 3*b + 15, -m + 2*b = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4900274 and 0.11?\nAnswer: 4900273.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 41362 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t = a - 42, 721*a + 731*a + 4*t - 24 = 2169*a - 714*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 626898 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 8:38 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -4*k - 128. Let p(t) = 15*t**2. Calculate p(v(n)).\nAnswer: 240*n**2 + 15360*n + 245760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001312 to five decimal places.\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 341107 - 5?\nAnswer: 341102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (10 + -2) - (-1181 - -1172)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 411*j - 170*j = -4820 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 9*x**2 + 3*x + 4. What is b(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2200323780?\nAnswer: 2, 3, 5, 12224021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.90824 to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -354 - -70. Let a = x + 285.049. Let b = a + 63.651. What is b rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 - (-74 + -37 + 82) - (0 - (1 + -122))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 23 = -17. Let r be (-3)\/35*g\/15. Suppose 32*z = 59*z. Is z at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 848565.5kg in tonnes?\nAnswer: 848.5655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -241*b**2 - 146*b**2 + 557*b**2 - 547*b**2 in the form r*b + q + z*b**2 and give z.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i + 506. Let t be h(0). Suppose 2*m - t + 192 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29.3 - 29.7. What is the second biggest value in -2, -4, z, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 272 = -125*v + 22. Let r = 5.74 + -0.74. Sort -1\/9, r, v, -5 in descending order.\nAnswer: r, -1\/9, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 519*g - 5682. Suppose 2*h - 3*h + 52 = 0. Calculate the remainder when h is divided by p(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -442?\nAnswer: 1\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15766004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 238 + -482. Let z be 3\/(6\/c - 0). Is z\/(-18) + 4\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d. Let z(r) = -4*r**2. Calculate z(y(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 2*r + 3 - 1, -4*w + 3*r = 31. Let p(m) = 2*m**2 - 2*m - 3. Is 13 a factor of p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + 7*h**2 + h - 46. Let q be r(5). What is the highest common divisor of q and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.145078548 to five dps.\nAnswer: -0.14508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + -11. Let k be (-4)\/h + (-12)\/(-7). Solve k*x - 5 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 2*b**2 + 6. Suppose 4*s = -13 - 7. What is the remainder when w(s) is divided by 3624\/88 - (-4)\/(-22)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -636 divided by 205\nAnswer: -636\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u + 4, 5*o - 6*o + 6 = -2*u + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -2, -49704, -47 in increasing order.\nAnswer: -49704, -47, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 + 777*i + 141244. Calculate w(-487).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r + r + 186*r**3 + 86*r**3 - 44*r**3.\nAnswer: 228*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2. Let r(z) = -565723*z**2. Give r(h(j)).\nAnswer: -565723*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 27*x**2 - 4*x + 3. Let l(h) = -h**3 + 8*h**2 + 8*h + 11. Let a be l(9). Is j(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - -140?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.4 + 1948066.\nAnswer: 1948068.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*x**3 - 41*x**3 - 13*x**3)*(-3*x + 2*x + 0*x) + (-3 - 2 + 3)*(2*x**4 - 5*x**4 - x**4).\nAnswer: 53*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 20 = -21. What is the third derivative of -433*x**3 - 33*x**2 + 1 - n + 408*x**3 wrt x?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 - -28. Suppose 7*n = x + 5. Suppose 5*a = -2*h + 29, -5*a + 8 = h + n. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 615458516249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1990541971 + 25220?\nAnswer: 1990567191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of -19 - (-7 + 14 - 13576)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = -5*k + 2*z - 25, 4*k + 2*z + 16 = 0. Let t = -0.64 + -3.06. Let g = -3.8 - t. What is the biggest value in 1\/3, k, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/105?  (a) 0.138  (b) -8  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 y when three letters picked without replacement from {k: 3, y: 15}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-1)*m)\/m*(m\/(m\/((m**2*m)\/m)))\/m)\/(m\/(m\/(m*m*m*m*m**1*m*m)))**0)**(-3) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -125, 2, -4.\nAnswer: -125, -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 334747 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 4)*((0*s - s + 2*s)*(-1 + 2 - 2) + 1 - 1 + 2*s + 2*s - 2*s + s - 38*s - 6*s + 7*s + 3 + 2*s - 3).\nAnswer: -66*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - 13*x**2 - 11*x + 15. Let g be l(-12). Let c(p) = 10*p**3 - p**2. Let i be c(1). Solve 0*v + i = g*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1186048 divided by 18\nAnswer: -593024\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3955417 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3280 - 3280. Let z(l) be the first derivative of 17 - 17\/3*l**3 + 0*l**5 + 0*l**4 + g*l - 13\/6*l**6 + 0*l**2. Find the third derivative of z(q) wrt q.\nAnswer: -780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -48726, -48678, -48542, -48312, -47982, -47546, -46998?\nAnswer: -46332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.4 + 21.4. Let v = b - 18.0000036. Round v to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.47 + 0.03. Let q = 17.7 - 18. Which is the closest to -7\/4?  (a) -1  (b) x  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/30*-5)\/((-1)\/8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 9:49 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 3*n**2 + 6*n + 3. Let z be ((-2)\/(-4))\/((-14)\/(-56)). Suppose -6*y = -z*y + 3*w + 30, -4*w = 8. What is the units digit of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 5. Let l = -8 - x. Which is the second biggest value?  (a) l  (b) -0.4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 6 = -j - 2, -3*j = 5*p. Suppose p*w = 4*w - 8. Let l be (5\/10)\/(2\/w). Put 2\/15, 2\/5, l in increasing order.\nAnswer: 2\/15, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 613\/12 + -1835\/36. Let c = 1\/60 - 4\/15. Are c and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x + 7. Let p be l(-5). What is the second derivative of 2*s**2 + 4*s + p*s**2 + 2*s**2 + s wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -3625001*b**2 + 5*b - 6. Suppose 0*p + 2*p = 4. Let w be v(p). Round w to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -149*k = -13*k - 3*k + 532. Which is the nearest to -0.1?  (a) k  (b) -5  (c) 2\/2399\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 279 - 9 = -180*o + 94*o + 32*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -7*s + 31. Let a be n(5). Let o = -1147\/1465 - 5\/293. What is the third smallest value in a, o, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**2 + 3*w**2 + w**2 + (1 - 2 - 5)*(-3*w**2 + 2*w**2 + 3*w**2) + (-3*w + w + 0*w)*(4 - 4 - 2*w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from zvtrxxzxlzxr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -3\/38, -2 in increasing order.\nAnswer: -2, -1\/4, -3\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c. Let a(z) = 2*z**2 - 24167. Calculate j(a(b)).\nAnswer: -4*b**2 + 48334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 218*h**3 + 219*h**3 - 657*h**3 + 218*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, -1\/2, -2\/3, 9, 87 in descending order.\nAnswer: 87, 37, 9, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 8*w - 6. Give a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 19 - 1 = 0, 5*f = 2*w - 40. Let v be -3 + ((-110)\/(-50))\/(8\/w). Which is the closest to 1?  (a) 2\/9  (b) v  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s - 2 + 8 + 0 + 1. Let u be g(3). Solve -2*w - u = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -19*w + 13. Let r(k) = -10*k + 7. Let c(j) = 11*r(j) - 6*z(j). Determine c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.03 + 13.03. Let m = -7 - 1. Let f = m + w. Which is the closest to 2?  (a) -2\/7  (b) f  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**2 + 2*r. What is the remainder when d(4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 300 and 26500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1801.1 and -2?\nAnswer: 3602.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-2)*-2*((-18)\/(-300))\/3.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7667, -30604, -68833, -122354, -191167?\nAnswer: -275272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 2 - (17 - (-15 + 17))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19782 is divided by 1648.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 15448 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 212221001012 (base 4) to base 7\nAnswer: 152046002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4111206 divided by -84.\nAnswer: -685201\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*d + 126 = 58*d. Let w(c) be the first derivative of c**3\/3 - 11*c**2\/2 - 10*c + 4. Let h be w(12). Calculate the highest common factor of h and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5888\/10472 + 204\/(-374))*(1 + 36 + 5).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -19. Suppose 2*s - w = -4. Suppose 39 = z + 3*z - s*f, f = -3*z + 26. What is the highest common factor of 99 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhccchhccch.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 806\/(-78))*(-5 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 4*u - 5 + 3, 0 = -5*u + 10. Let p be (-2 + 0)\/g*-1. What is the smallest value in p, -6\/11, -3\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 16*a + 10 to the form g*a + m and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1008675943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s**3 + 2103*s**2 + 7148*s - 5. Let f(v) = 2*v**2 + 2*v + 1. Let b(c) = -5*f(c) - p(c). Find the second derivative of b(o) wrt o.\nAnswer: 12*o - 4226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -48*w + 603. Let g(z) = -36*z + 610. What is -3*g(a) + 2*i(a)?\nAnswer: 12*a - 624","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2027972207.\nAnswer: 40697, 49831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*d - 330 = -35*d. Which is the second biggest value?  (a) d  (b) 12  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2831 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h + 6. Let u(k) = 8*k - 25. Let g(f) = -9*q(f) - 2*u(f). Let m be g(4). Find the third derivative of -p**m + 139*p**2 - 129*p**2 + 0*p**4 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0203 to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that d**4\/2 - 45791*d**3\/2 + 91579*d**2\/2 - 45789*d\/2 = 0.\nAnswer: 0, 1, 45789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 3 = -2*w, -3*l + 2*w = -7 + 4. Let s(j) = j. Let p(b) = -35*b + 19. Let c(d) = l*p(d) + 3*s(d). Differentiate c(g) with respect to g.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -4093*a**6\/30 - 5471*a**2\/2 - 80*a + 13. Differentiate c(h) with respect to h.\nAnswer: -16372*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 1. Let g(b) = 2 - 145327*b**2 + 0 - 3 + 145334*b**2 + b**3. Determine -f(v) - g(v).\nAnswer: -v**3 - 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -7 + 7 + -33 + 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 41510368 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1938\/(-84) + (-57)\/(-798).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((1*sqrt(756)*3 + sqrt(756) - sqrt(756)) + sqrt(756))\/(sqrt(36)\/(sqrt(12)*-2) - (sqrt(300) + -1*sqrt(300))).\nAnswer: -144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 54874 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2046 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -165119 + 1152551\/7. Let b = -468 - p. Factor -4\/7*k + 0 - b*k**2.\nAnswer: -2*k*(3*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 - 7*c + 15. Suppose 5*y + 115 = -5*b, 4*b = -4 - 4. Let d = y + 49. Calculate the remainder when d is divided by f(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 212000221 (base 4) to base 7\nAnswer: 1215622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4239*a**2 + 9588*a + 1.\nAnswer: -8478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (180\/(-48))\/(-15)*16\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 + 3 - 3 - 10*l)*(4*l + 0*l - 3*l).\nAnswer: l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -402*o**3 + o**2 + 4*o**4 - 6 + 6 - o + 387*o**3 as x*o**4 + h*o**2 + a*o + c*o**3 + v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 75*f**3*o**2 - f**3*o + 20*f**2*o wrt o.\nAnswer: 150*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-450 - -434)*(-1 + 2)*2*-1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 4 + 7 + 0 - 2*l in the form j*l + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of 3*u**4\/4 - u**3 + 6. Find the third derivative of a(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(3) + 1)**2 - (sqrt(36)*2)\/sqrt(12)) + -2 + sqrt(3) + -2 + 1.\nAnswer: 11*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9819992  (b) 5  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v**2 + 17*v**3 - 14*v**3 - v**2 to p*v**2 + u*v**3 + b*v + k and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 584603.4ng to kilograms.\nAnswer: 0.0000005846034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 11:59 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 131796 and 341977671?\nAnswer: 1367910684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4367 + 21074. Let d be (-18)\/12 + k\/(-2). Is (d\/(-10))\/(6\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -296824376*a**3 - 2*a**2 - 39848030*a wrt a.\nAnswer: -1780946256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14*30\/1260)\/(1\/108*1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 33 = v + 3*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4872 - 4871.102. Which is the nearest to q?  (a) 0.1  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-3)\/g**(1\/4))\/(g\/g**2*g)**11)\/(g**(-6\/13)\/(g*g**(1\/3)))**25 assuming g is positive.\nAnswer: g**(6493\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (u**3 - 3 - 3*u**3 + 1)*(-60 + 0 - 170) in the form h*u**2 + m*u**3 + x + a*u and give m.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p + 11*p + 14*p)*(-3*p + p + 0*p)*(1470 + 272*p**2 - 1470).\nAnswer: -14144*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - -230070178?\nAnswer: 230070197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 18*x - 42. Let i be w(6). Calculate the greatest common divisor of i and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 7*z**2 + 7*z + 9. Calculate o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -212, 1, -3, 4 in ascending order.\nAnswer: -212, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 166\/14149?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 121067415 to the nearest integer?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25298505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 243*u = -5*p + 238*u + 91060, -2*p - 3*u + 36432 = 0. Is p a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*k + 73*k + 736 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o**5\/4 + 27*o**4\/4 - 57*o**3\/4 + 9*o**2\/4 + 15*o - 9 = 0 for o.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + 4*p - 4. Let o be g(-5). Suppose -s + 3 = o. Find the second derivative of -z - s*z - z**4 + 8*z + 5*z**4 wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dhggff. Give prob of picking 1 h, 2 g, and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/1547920 and -93\/3520.\nAnswer: 6191680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = -6*m + 37. Which is the nearest to 2?  (a) -2  (b) m  (c) -0.3  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c + 0*c + 3*c - c + 4*c - c + (3 - 2 - 3)*(-4*c + 2*c + 0*c) - 2 - c + 2 + 5*c + c - 2*c + 6*c - 2*c - 6*c - 5*c + 3*c + 0*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 205059*n**3 + n**2 + 6957916*n?\nAnswer: 1230354*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 175363.9 millilitres?\nAnswer: 175.3639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 4:46 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - j + 838. Is g(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25055 minus -0.13872982?\nAnswer: 25055.13872982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-5) - 117\/(-45). What is the nearest to -0.1 in 0.4, -2\/13, c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 556294 is divided by 1246.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 2655 divide 968260556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 740378218 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: Three letters picked without replacement from hpppppppppppp. Give prob of picking 2 p and 1 h.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 i, and 1 o when three letters picked without replacement from {h: 1, y: 1, o: 1, i: 1, d: 1, e: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + t - 52 = -y, 2*y - 56 = -2*t. Suppose -y*f - 94000000 = -33*f. Suppose -5*l = 5*l + f. What is l rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -2067*f**4\/8 + 580*f**3 + 4*f**2 + f + 272. Differentiate g(p) wrt p.\nAnswer: -6201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 1205955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {q: 1, z: 2, a: 1, l: 6, f: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -133 - (-30 + 3 - ((14 - 9) + -23))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + s + 4. Suppose -210*j - 4*h = -214*j - 8, h - 10 = -3*j. Let o(a) = a**2 + 4. What is j*x(v) - 3*o(v)?\nAnswer: -v**2 + 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of 6*k**2 + 21*k - 3. Let t(r) = 3*r + 5. Let z(m) = -5*j(m) + 21*t(m). Let i(x) = -86 + 86 + 4*x**2. Give i(z(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of -i**6\/360 - i**4\/3 + 5*i**3\/6 - 7*i**2. Let p(d) be the first derivative of l(d). Give p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from witpwnlwwpptw. Give prob of picking 1 l and 1 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89785690.\nAnswer: 2, 5, 137, 65537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**4\/5 - 9*n**3\/5 + 12*n\/5.\nAnswer: -3*n*(n - 1)*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s + s - 7*s)*(-481*s**2 - 24*s**3 + 481*s**2 + (2*s**2 - 5*s**2 + s**2)*(0 + 0 + s)).\nAnswer: 78*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqyqqqqqqqqqqqqyqyqy. What is prob of sequence qy?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zyo when three letters picked without replacement from qyyoooyqyzymzyoyzo?\nAnswer: 35\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 7*w**2 + 32*w - 7. Let v be s(-5). Suppose 0 = -5*o + 15, 23 = -4*l + v*l + o. Calculate the lowest common multiple of l and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.67, -2\/7, -2\/3 in decreasing order.\nAnswer: 0.67, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -g**6\/1800 + g**5\/60 - g**4\/5 + 5*g**3\/3 - g + 82. Let c(t) be the third derivative of w(t). Factor c(z).\nAnswer: -(z - 6)*(z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 - 15 + 10)*(-50*s**2 + 13*s**2 + 23*s**2).\nAnswer: 294*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 98*m + 1681. Determine p(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**4\/5 + 36*l**2\/5 - 48*l\/5 = 0. What is l?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 12497, 24815, 37131, 49439, 61733, 74007?\n\"Answer: -w**3 + 5*w**2 + 12310*w + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-1\/10)*g*g*g*g*g*g**(-4\/3)*g*g)**26\/((g\/((g**8\/g)\/g*g))\/(g\/g**(-5)*g)*g**(-1\/7)\/(g\/g**2*g*g)) assuming g is positive.\nAnswer: g**(19958\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 - 8*n**2 - n - 8. Let x be d(-8). Sort -8, 1, x.\nAnswer: -8, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1933*y + 2747*y - 1608*y)*(-y - 1 + 1) + 2*y**2 - y + y to the form k*y + j + d*y**2 and give d.\nAnswer: -3070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 4 = 6. Let u be 3\/12 + 21\/12. Suppose 0 = u*y + l - 2, -3*l + l - k = -2*y. Solve t + y - 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -0.1504  (c) 1\/9  (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 4:08 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -201012201*l**3 + 14580897.\nAnswer: -603036603*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of 0*u + 1\/2*u**3 + 13*u**2 + 0 - 1\/8*u**4. Let b(d) = 4*d - 4. Calculate -4*b(a) - 5*w(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18 + -5. Let q = w + -13. Let d = q + -4. Which is the third smallest value?  (a) d  (b) 1  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 6) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**(-3\/4)\/a*a\/(a*a\/(a**(-15)*a*a)*a) assuming a is positive.\nAnswer: a**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 38 - 698. Suppose -t = -3*t + x. What is the units digit of (t\/(-12))\/((-6)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n - 2*l - 58, 5*n = -6*l - 0*l + 2393 - 2595 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 + -2)*(-12)\/(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.2 + -2. Let x = -45.7 + 48. Let m = x - 2. Sort 0.1, m, q in decreasing order.\nAnswer: m, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-1 - 0 - (-4 + 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 14 = -3*f, 5*i - 1 - 49 = -5*f. Let l(z) = -z + 6. Let y be l(f). Suppose y = j - 0*j. Solve -5*a + 0*a = -3*c + 20, -3*a + 4*c - 12 = j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 4 - 9*q**2 - 5*q - 10 - 2*q + 7*q**2. Let a(r) = -6*r**2 - 20*r - 17. Let s be -17*(-2)\/(-1 - -3). Determine s*v(b) - 6*a(b).\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-9)\/(h*h**(-2\/131)))\/(h\/(h\/(h*(h*(h\/h**18)\/h)\/h)))**(-40) assuming h is positive.\nAnswer: h**(-90388\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5872.946 litres?\nAnswer: 5872946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 44 + 3 + (0 - -2). Let q be v\/3 - 4\/(-6). Let m = -9 + q. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.99 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011 - -11?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three thirds of a millennium in months?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -44*j**3\/3 - 18*j**2 + 8*j + 104. Solve g(s) = 0.\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3 + 2 + 3 + 0 + 3*n. Let o be i(6). Let v be 63\/(-14)*o\/(-6). Solve -4*g - 1 - v = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2986259317 to the nearest integer?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/9)\/(g*g**(-2\/9)\/g*g)*(g*g\/((g*(g*g**(1\/4))\/g)\/g))\/(g\/(g*g\/(g**(-4)*g)))*((g**(-1)\/g)**45)**(-26) assuming g is positive.\nAnswer: g**(84415\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 5, -4, -25894, 2, 3 in descending order.\nAnswer: 5, 3, 2, -4, -10, -25894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**2\/11 + 19704*o\/11 - 39404\/11 = 0. Calculate o.\nAnswer: 2, 19702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0  (b) -0.5  (c) -2\/15  (d) 659\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.7 - -3.7. Let n = 6.7 - 7. Let c = n - -1.3. What is the smallest value in j, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -418.00179 to one decimal place.\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 48849 + -135556. Let g = u + 58207. What is g rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 2*j = l + 8526, j + 5 = 0. Let a = l - -229898\/27. Find the common denominator of -77*((-2)\/6)\/(31 - 26) and a.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -2*l - 50, 85*c - 82*c + 2*l = -29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 5*m + 56 = 0, 0*h - 3*m + 14 = h. Let p(w) = 5*w**2 + 17*w + 4. What is the remainder when p(h) is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -12. Suppose 3*o = l*w + 30, -4*w = o + 3 + 1. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 122 + -45. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2142 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -33094.111 and 24.13?\nAnswer: 33118.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-41))**(11\/3) assuming j is positive.\nAnswer: j**(-451\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-6 - -12) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, 7, 18, 29, 40, 51?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*x + 14*x + 117*x**2 - 45*x**2 - 7*x - 68*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 + 24*q - 262. What is w(-32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2011 + -111112211211?\nAnswer: -111112220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*c - 5*c. Suppose x + 6 = c. Let p be (-22)\/(-10) - 2\/10. Put p, x, 0 in increasing order.\nAnswer: x, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 50883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c (base 16) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-3 - -8) - (-6 + 2 + -15).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*y**3 - 71075*y**2 + 497310*y - 426240 = 0. What is y?\nAnswer: 1, 6, 14208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45671*w + 2494*w + 6537*w.\nAnswer: -36640*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (11 + 13 - 15)) + 67\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 72.224 and 6.046.\nAnswer: 78.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 11*z + 4. Let k be i(6). Suppose k = 5*p + 4*x, -5*x - 8 = p - 22. What is the tens digit of (-72)\/(-7) + (-4)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 911 - 911 - 2*g**2 + 0*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6004.\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -16875*m + 185655. Give g(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {f: 7, k: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + 3*sqrt(128))*-2)**2 + sqrt(128) + -2 + ((-1*sqrt(10) - sqrt(10))\/sqrt(5))**2 + -3.\nAnswer: -376*sqrt(2) + 4627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 62 = -3*g + p, 0 = -2*g - 2*p - 15 - 5 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33906*w - 16952*w - 16953*w - 10.\nAnswer: w - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (sqrt(117) - sqrt(13)) - sqrt(143)\/(1*sqrt(11)))*2)**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -93, -198, -295, -384?\n\"Answer: 4*r**2 - 117*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8286384 to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 926 + -644. Suppose -g - 14 - 92 = -2*k, -4*k + 3*g + 204 = 0. What is the remainder when r is divided by k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7705*a*k*o + 2*a*o*r + a*o - 31*a + 3*k*o*r - 88*o*r - 2*o wrt k?\nAnswer: 7705*a*o + 3*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -131 * -4.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y, -3*y = -2*j - 0*y - 10. Sort -2, j, 3, 11 in increasing order.\nAnswer: j, -2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*2188972.\nAnswer: -437794.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 + 15*b**2 + 16*b - 8. Let x = 11 - 22. Does 30 divide g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, -10, -29, -52, -79?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*k + 6*k. Calculate the greatest common divisor of 36 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) -78  (c) -0.1  (d) 2\/7  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -202, 2, 5 in descending order.\nAnswer: 5, 2, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 5*k - 156, 4*k - 5*k = -3. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from agachgvcgccac. Give prob of picking 1 h and 1 g.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8\/5631083 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r**5 + 5*r**4 - 3*r**3 - 11*r**2 - 10*r - 2. Let l(v) = 8*v**5 + 10*v**4 - 9*v**3 - 21*v**2 - 20*v - 5. Let b(i) = -2*l(i) + 5*z(i). Factor b(d).\nAnswer: -d*(d - 5)*(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1811445524.\nAnswer: 2, 7, 9242069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*d - 4 - 2 + 4 + 0*d in the form t + l*d and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -569.358*0.028.\nAnswer: -15.942024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 3*c + 1494079, 14*c = 3*f + 15*c - 1120530. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 - -20. What is the closest to 1\/2 in -4, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 19*n**2 + 204*n - 3862. Give t(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 2*f, 3*f + 6 = 4*z - 1. Let v = -6 - f. Let x be (-9)\/20 - 2\/(-8). Which is greater: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(2 + 2 + 1*(sqrt(300) - 1*sqrt(300)*6)))**2.\nAnswer: -1600*sqrt(3) + 30064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 5*r + 4*b, 3*r - 23 = 4*b - 9*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3942*a**2 + 14*a + 1573. Let l(y) = 1312*y**2 + 5*y + 525. Let p(z) = -6*c(z) + 17*l(z). Find the first derivative of p(v) wrt v.\nAnswer: -2696*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven sixths of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 - 12. Solve 3*y + 3 - a = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*i - 57*i - 44*i.\nAnswer: -108*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/6)\/((-5)\/150). Suppose 3*r = 94 - o. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4563599*y + 4563668*y = -3381 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2 - (-3*4 + -4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 9*h - 10. Let u(g) be the first derivative of 7\/8*g**4 + 0*g + 1\/2*g**h + 2 + 3\/2*g**3. Let u(s) = 0. What is s?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-18)\/2 + 1)*(-90)\/(-120). Suppose 0 = 3*h - h - 2*q + 2, -3*q = -12. Suppose -4*x = -5*x, 2*x + 6 = -h*k. Put -4, k, d in descending order.\nAnswer: k, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5535 and 4325049.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 + -16.9. Sort c, 0.4, 2\/25.\nAnswer: 2\/25, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 + 6*l - 11. Let z be d(-8). Suppose 31 - 311 = -70*h. Solve -z*p - 14 = j, h*j + 24 = -2*p - 2*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 - 30*p + 43045. Calculate m(-223).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -5*f**3 + 6*f**2. Let g(t) = t**3 - t**2. Suppose 0 = 68*k - 292*k - 1344. What is k*g(m) - u(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**2*m)**(-12\/5))**(4\/17) assuming m is positive.\nAnswer: m**(-144\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-75*j + 8273 - 8273)*(-2*j + 0*j + j)*(-38 + 22 + 24).\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 5*y - 8, -4*g - 4*y = -30 - 10. Let q be -3 + g + (-2 - -3). Solve -d = -3*v - 0 - 1, 5*d - 5 = -q*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(10 + -11)\/(1\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7679729 or -7679725?\nAnswer: -7679729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-8)*k*k*k*k*k*k*k**(-2\/17))**(-2\/123)*((k**(2\/23)\/k)\/k**1)**32 assuming k is positive.\nAnswer: k**(-980824\/16031)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12729 is divided by 6160?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55243 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -3*y. Suppose 4*p - 3 = 3*q - 22, -2*p = 2*q + 6. Let g be 39\/15 - p\/10. Sort 1, g, y.\nAnswer: y, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 415 is divided by 89.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {u: 2, a: 5, r: 9}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a decade in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 39*-1.107\nAnswer: -43.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4113522, -8227089, -12340656, -16454223?\nAnswer: -20567790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 738*z**2 + 269*z**2 + 140*z**2.\nAnswer: 1147*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 9, -1 in decreasing order.\nAnswer: 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 245 = -t. Suppose 0 = -18*d + 12256 - 4318. What is the greatest common factor of t and d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 12, 34, 70, 120, 184, 262?\n\"Answer: 7*r**2 + r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 256, 540, 824?\n\"Answer: 284*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 213.19 - 198.5. Let h = r - 1.79. What is h rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -129 + 85. Let w = -392\/9 - j. Let q = w - 61\/36. Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29 + 26 + (-1 - 3)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 274582 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23996, 47967, 71938?\nAnswer: 95909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 4*w + 49, -7 - 2 = -s + w. What is the third derivative of -74*l**2 - 14 + s + 669*l**3 - 621*l**3 wrt l?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 37 + -9. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p + 130 = 15*p - 35*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and (-3 + 6)*32\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 6 + 0)*(0 + 0 + 3)*(u + 76 + 0*u - 55).\nAnswer: -12*u - 252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5318, -2, 7, -5, 0 in decreasing order.\nAnswer: 7, 2, 0, -2, -5, -5318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.5 greater than -4.43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 - 6*v**2 + v + 5. Let o be g(-6). Let l(p) = 3*p**2 + 2*p + 1. Let f be l(o). Suppose 3*t + 1045 = 4*y, -f*y + 540 = 4*t - 2*t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - (-2 - -1)*1. What are the prime factors of 5 - (b + 0\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 33006657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0601242 to 3 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -20444, -20831, -21476, -22379, -23540?\n\"Answer: -129*y**2 - 20315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 74992199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 21143747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*d**2 + d**2 - 9*d**3 + 681*d**3 - 18*d**2 to the form a*d**3 + m*d + w + v*d**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(4373 - 4373 + 59*h) + (3 - 4 + 2)*(-3 - 2*h + 3).\nAnswer: 57*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 + (0 - 5) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/(r*r*((r**22*r)\/r)\/r)*r)\/((r*r*r**(-15\/4)*r*r*r)\/r)*r**(6\/13)\/(r*r*r*r**(2\/43)*r))**(5\/2) assuming r is positive.\nAnswer: r**(-266475\/4472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64 + -61.1. Let r = i + -3. Let n = -4.9 + r. Which is the smallest value?  (a) n  (b) -3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -6 + 15 + -14 - (-47 - -13)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (13*w - 5*w + 18*w)*((0*w - w - w)*(3*w - 3*w + 2*w) + 0 + 3*w**2 + 0) in the form u*w**2 + a*w**3 + y*w + q and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14312 and 272?\nAnswer: 486608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of -k**7\/70 - 7*k**6\/40 - 9*k**5\/10 - 5*k**4\/2 - 4*k**3 - 32*k**2 + 26. Let j(a) be the second derivative of v(a). Factor j(x).\nAnswer: -3*(x + 1)*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/3*18\/(-8). Suppose 4*w - 11*g = -14*g + 35, 2*g = 2*w. Suppose -w*d - r - 8 = 0, -3*r = r + 12. Which is the closest to 0?  (a) d  (b) -2\/7  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -260043009\/2 or -130021504?\nAnswer: -130021504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 252\/17, -41, 305?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1051 (base 10) to base 3\nAnswer: 1102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20*21 - 3 - 3. Let j = -227 + p. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 8*b**2 - 11*b + 22. What is a(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 325 and 256802?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-674)\/(-7) - (-6)\/42*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 174\/12*((-4)\/(-3))\/((-98)\/147).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of -7*d**6\/3 + 2*d**3 + 7. Find the third derivative of l(q) wrt q.\nAnswer: -840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2053 = 38982\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 327*d**2 + 6179*d wrt d?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -40*q**5 - q**3 - 171*q**2 + 23341*q.\nAnswer: -800*q**3 - 6*q - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*s + 7*s + 18*s)*(-4*s + 4*s - s) - 2*s**2 - 5*s**2 + 4*s**2 - s + 3*s - 1 - 51*s**2 + 48*s**2 in the form t + y*s**2 + q*s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 5930 = 322. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14119 + -14063. Solve -2*j = 2*w, 5*w - q = 3*j - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z*z**(-17))*z)\/z**11)**(-50) assuming z is positive.\nAnswer: z**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -47  (b) -2\/7  (c) 0.3  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 8686, 16598, 24510, 32422?\n\"Answer: 7912*q + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 30*l + 34*l + 60*l + 4)*(0*l**2 - l**3 + 0*l**2).\nAnswer: -124*l**4 - 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1019*d**2 - d**3 + 4*d**3 + 562*d**2 - 4*d**3 + 457*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3102.83 days to minutes.\nAnswer: 4468075.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 0  (c) -7  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of -o**3\/3 - 7*o**2\/2 + 7*o - 2. List the prime factors of a(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p = -2*p - 648. Suppose p = 5*j - 2*j. What is the greatest common factor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - (-28)\/12)*9. Suppose 4*q = -12, 4*u - 12 = -q - l*q. Calculate the lowest common multiple of (-1)\/(3 + 32\/(-10)) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 707*f + 143*f + 78*f - 19*f + 22*f.\nAnswer: 931*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-13)\/(39\/(-10))*(-108)\/(-18))\/(-1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - 7*v + 3. Let j be g(5). Let x = -6 - j. Is x at most as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 0. Suppose -k = 2*b + 13, -m - 1 = 4*b - 2*k. Put 5, -4, b in decreasing order.\nAnswer: 5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -2 - (4 + -3 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -57.82 + 53.4. Let h = -0.58 + s. Which is the nearest to -2?  (a) 2  (b) 0  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19430 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 563, 1125, 1687, 2249, 2811?\nAnswer: 3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w - 4. Let l(k) = 7*k - 11. Let m(y) = -23*y + 13*y + 9*y. Let f(p) = l(p) + 4*m(p). Determine 17*c(v) - 6*f(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -501523 + 54?\nAnswer: -501425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 24659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -47921 - -110?\nAnswer: -47811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -187a30 (base 12) to base 10\nAnswer: -428292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -341445 (base 8) to base 3.\nAnswer: -12212102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 472484 by -67.\nAnswer: -7052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1302289, 1302292, 1302295?\nAnswer: 1302298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3740 - -3740.5. What is the third smallest value in -49, -2\/3, 1\/9, r, 1\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dyyyydydyyy. What is prob of picking 3 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 28435.92 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 83 - 11. Suppose 4*x + 4*t - 104 = 0, 0 = x - 4*t - 22 + 1. What is the remainder when w is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - b - 3*b)*(3*b**4 - b**4 + 0*b**4) + (2 + 1 - 4)*(-9*b**5 - 2*b**5 - 4*b**5).\nAnswer: 13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from juuujjjs. Give prob of picking 2 j.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -2075426.\nAnswer: -1037713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -55*f - 15. Let d(n) = 55*n + 13. What is -6*d(r) - 5*l(r)?\nAnswer: -55*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 4*o - 8. Suppose -4*l + u - 5*u = 104, 5*u = -3*l - 72. Let g = l - -35. Calculate r(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 4*b**3\/5 + 24*b**2\/5 + 44*b\/5 + 24\/5 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5 + (-1)\/((-6)\/132). Solve -b + 14 = q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**2 - 7*g + 1470 = 0.\nAnswer: -42, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003486 to 6 dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 + 144 = 36*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of 13\/2*o**2 + 17*o + 0 + 0*o**3 + 3\/5*o**5 + 0*o**4. Differentiate y(u) wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -35887, -35870, -35839, -35788, -35711, -35602, -35455?\n\"Answer: j**3 + j**2 + 7*j - 35896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 75149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 5:26 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37 - 31. Suppose -5*o = -14 - x. Solve 0*b = o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 AM and 5:10 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/20  (b) -1\/5  (c) -3  (d) -1701\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 87*j - 349*j - 248*j + 0*j**2 + 1065 - 2*j**2 wrt j.\nAnswer: -4*j - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 4 = 16. Put w, 0, 0.05 in descending order.\nAnswer: w, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93*l + 285*l - 129*l.\nAnswer: 63*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4730, 9660, 14602, 19562, 24546?\n\"Answer: m**3 + 4923*m - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -7*d**3 - 27*d**2 - 14*d - 44. What is the units digit of y(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2373, 6187, 9991, 13779, 17545, 21283?\nAnswer: 24987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2\/129, 3\/7, -2?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6424, 5, 21810 in decreasing order.\nAnswer: 21810, 5, -6424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p. Let v(a) be the second derivative of a**2 - 1\/6*a**3 + 0 + 25*a. What is f(v(u))?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 - 14131201431?\nAnswer: -14131201420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.67623 and -10435.\nAnswer: -10436.67623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzlazzpzp?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -285*v**3*w + v**3 + 2*v**2 + 89*v*w**2 + 23*v*w + 28*v + 7026 wrt w?\nAnswer: -285*v**3 + 178*v*w + 23*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6.24 + 8.24. Which is the third smallest value?  (a) 0.3  (b) -2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 2*j - 3*j - 5*j + 4*j.\nAnswer: -6*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 524, 309, -160, -1009, -2364, -4351, -7096, -10725?\n\"Answer: -21*c**3 - c**2 - 65*c + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-316148)\/129040)\/(7\/16).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 22. Suppose 7 = u - p. Calculate the smallest common multiple of u and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35872 and 1696781?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 1791568 - 6982960 = 0. Let s = -256924 + j. Suppose s = i + 3*i. What is i rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-808)\/1212)\/(6*(-7)\/(-2394)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 681 is divided by 199?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together 511730006 and -82.\nAnswer: 511729924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -769\/4470 - -4\/745. Which is the third smallest value?  (a) 1  (b) j  (c) -2  (d) -5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-82)\/(-1646970)*-103)\/(2\/3)?\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*m - 75. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = -13*t + 5775. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5735497 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 6:56 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1121 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 6. Let d = -0.02 - 2.98. Sort d, h, 5 in decreasing order.\nAnswer: 5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3879 (base 12) to base 10.\nAnswer: 6429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 172364164 and 1148.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/360 - 2\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 448 is divided by 92?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 - 27 = 3*f, -4*f - 2 = 5*o. Let w(u) = 11*u - 2. Let v(y) = -10*y + 1. What is o*w(p) - 3*v(p)?\nAnswer: 8*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = -8*x - 15. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -332939 (base 16) to base 7\nAnswer: -40333121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, d: 3, b: 3, v: 4, u: 4}. Give prob of picking 1 g and 1 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/24 - (1 + (-77)\/68). Suppose -3*w - 5*g = -37, 4*g - 14 = w + 2. What is the nearest to 0.2 in i, -0.5, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, 8, -2, -20, -46?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of 13*v**5\/60 - v**4\/24 - v**3\/6 + 3*v**2 + 8. Let u(o) be the second derivative of b(o). What are the prime factors of u(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -421, -1307, -2767, -4795, -7385, -10531, -14227, -18467?\n\"Answer: o**3 - 293*o**2 - 14*o - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c + 71. Let v be o(5). What is the greatest common factor of 36 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 8 = 5*j. Suppose 0 + j = 4*q. Let t = 2 - -1. Solve t*k + q = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66770631*j**2 + 8 - 8 + 66770668*j**2.\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 1173.\nAnswer: -1\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 14 + 1. Suppose -b*x + 23 = o, 5*x - 2*x = -4*o + 7. Suppose 0 = y - x*z + 2, -z = -3*y - 0*y + 8. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 4*j - 105, 0 = 3*j + 2 - 11. Let h be (-2)\/(-6) + b\/(-12). Let q = 19\/6 - h. Which is smaller: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jnnn when four letters picked without replacement from {n: 9, j: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -1\/444982 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/7 + 4\/(-14))\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -96, -3, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 906 - 484 - 2975 = -205*o + 2162 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/5 - 168886*l\/5 - 168887\/5.\nAnswer: (l - 168887)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -42, -115, -238, -435, -730?\n\"Answer: -4*t**3 - t**2 - 42*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 - f - 1. Let t = 6 + 1. Calculate the remainder when g(t) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 126255 and 1995?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/24*20*(-2)\/(-37). Let t = -139\/481 + i. Is t greater than -1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 324.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**3 + 3*f**3 + 0*f**3 + (-6*f + 7*f - 9*f)*(0*f**2 + 0*f**2 + 5*f**2) - 2*f**3 + 5*f**3 - f**3.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 - 465 - (7 + 1 + -72)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 89 + -52. Suppose -37 = -r - 3*x + j, -12 = -4*x. Calculate the highest common divisor of r and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100221020212 + -11?\nAnswer: -100221021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 583, 586, 589?\n\"Answer: 3*d + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - 0. Let z be (2 - -1) + s + 2. Let f be (z - 0)\/(-1)*-98. Calculate the highest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (5 + -10 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 8*u + 5*l + 85 = 0, 4*u - l = -53. What is the third biggest value in 0.4, 1, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 27*o**2 - 9*o**2 - 15*o**2 + 15*o - 18 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 21, 226, 1 in decreasing order.\nAnswer: 226, 21, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -2\/17, 5 in descending order.\nAnswer: 5, 4, 1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -559, -1116, -1673, -2230?\n\"Answer: -557*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 6 = -z. Suppose 8*c + 4*w = 6*c + 4, 2*w = 2*c - 4. What is the remainder when z is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/(-1134)*9)\/(2*(-24)\/(-112))?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*u = -37*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 - 6*n + 4. What is x(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - 4.1. Let h = -982 + 981.99. Let z = 3.2 - 0.2. Sort j, h, z in decreasing order.\nAnswer: z, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(72) + -1*sqrt(72) - sqrt(72)) + sqrt(72))**2 + 3 - sqrt(72)) + (sqrt(352) + sqrt(352) + sqrt(352)*4)\/sqrt(11).\nAnswer: 3 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/924 and 31\/44.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1244696*v**4 - 703647*v?\nAnswer: 14936352*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -42108, -2\/21 in decreasing order.\nAnswer: -2\/21, -5, -42108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 72 = 3*h + 5*h - 3*n, 0 = -4*h + 4*n - 53 + 109 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 196033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2210100012201 (base 3) to base 9\nAnswer: -2710181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3763*c - 146989 = 33635 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 156711436 a multiple of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.268 - -0.2. Let d = z + 0.06689. Round d to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-12))\/(16 - (-1036)\/(-63))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from inmmihjijijbbnh. What is prob of picking 1 b and 1 h?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4226 is divided by 151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 6*v = 9*v + 9, -v = -5*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, 4, 930?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 169\/(-24) - 56\/(-1344).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m**2. Let p(d) = 32*d**2 + 1. Let g(o) = 96*o**2 + 3. Let f(l) = -4*g(l) + 11*p(l). Determine f(h(c)).\nAnswer: -128*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 5*f**2 + 23*f + 27. What is the remainder when 946 is divided by s(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24*p**5 - 116*p**4 - 2*p**3 - 31534*p wrt p?\nAnswer: 480*p**3 - 1392*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 4*a + 4*n + 158, 5*n - 90 = -2*a. What is the lowest common multiple of 66 and a?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 1686*q - 41478. What is r(25)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = 5*b + 15, -5*b + r - 13 + 10 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -63 and 708.\nAnswer: -44604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19017191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4239863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -6432375 (base 9) in base 16?\nAnswer: -349616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3358 + 3630. Calculate the highest common factor of 391 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggsvetme. Give prob of picking 1 m, 1 e, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = 34 + 22. Suppose 12*l - 544 = h*l. Calculate the greatest common divisor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 36. Suppose 3*i - 5*l + 1 - 15 = 0, 2*l = 2*i - v. Factor 3\/5*x**2 + 1\/5*x**i + 1\/5 + 3\/5*x.\nAnswer: (x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 31408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) - -1*sqrt(84)*-3) + sqrt(84)*-2*-2 + sqrt(84))\/(2*(sqrt(12) - 6*sqrt(432))*3)*-1.\nAnswer: sqrt(7)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1085*b + 1737*b + 142596 = -1139*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -835*k**3 + k. Let c be u(1). What is the remainder when (-12)\/(-16) - c\/8 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v = -15*v. Let 0 + 2\/5*n**3 + 0*n + v*n**2 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/((v*v**(-5)\/v)\/v))\/v*v**(1\/9))\/(v**(-1))**(12\/11) assuming v is positive.\nAnswer: v**(812\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 5*a**2 + 2*a - 1. Let r be s(-3). Let f = r + 10. Suppose 2*j - f = -2*j. What is the smallest common multiple of 14 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x - 5*d = -10, 5*x + 454 - 475 = -d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2980 and 16.\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 4:45 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2 + 2612*f - 832010.\nAnswer: -2*(f - 755)*(f - 551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 9:03 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -43*d - 3606. Give o(-84).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -5*b. Let y(c) = -30*c + 4. Determine w(y(u)).\nAnswer: 150*u - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -27*x - 10. Suppose -3*f = -9*t + 5*t - 7, 3 = 3*f. Let z be h(t). Which is the nearest to -0.1?  (a) 1  (b) 1\/5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12144\/670956*34\/(-4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 - 7*t**2 - 4. Give i(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((140 - 122) + 6\/(2\/(-2)))\/(-1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 50 = 3*x, -v + 79 = 5*x - 0. Calculate the remainder when 61 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 3 = 0, -14*d - 3 = -9*d - 12*k. Let a(h) = -h**2 - 2 - 4*h**2 + 2*h**2 + 0*h**3 - h**3. Determine a(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10212?\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 21.12969 centimeters?\nAnswer: 211296900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 3 = -3*r, -2*k = -7*r + 2*r + 14. Suppose r*y - 25 = 19. Calculate the remainder when 21 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -433 divided by -649\nAnswer: 433\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*v - 2*h - 2, 5*v - h = 3*h - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -34*q**2. Let m(j) = j - 10433. Determine m(t(r)).\nAnswer: -34*r**2 - 10433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 6:29 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of -p**6\/300 - 3*p**5\/100 - p**4\/24 + p**3\/5 + 198*p. Let a(q) = 0. Calculate q.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 74450, 297797, 670042, 1191185, 1861226, 2680165, 3648002?\n\"Answer: 74449*z**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 9:11 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 - 20. Let k be 1*r*(-4)\/16. Suppose 2*f = -k*a - 3*a + 6, -a + 2*f = -2. Calculate the greatest common divisor of a and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*v - 54 = 19*v. Solve 0*w = -2*w + v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-126)\/35)\/(2\/(-5)). Solve -3*j - 1 - i = -v, 28 = -4*j + 5*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 495 and 270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -475 + 496. Solve r = -4*s + 37 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 divided by 34?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 375.682 plus 0.06?\nAnswer: 375.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 12*t**3 - 2*t**2 - 4*t - 6. Let f(o) = 13*o**3 + o**2 - 3*o - 4. Calculate 4*f(k) - 3*r(k).\nAnswer: 16*k**3 + 10*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/105 and 167\/120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -258 in 1, -17, -2, 0.2, -0.3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -9860*y + 476. Let n(d) = -62*d + 3. Give 476*n(a) - 3*r(a).\nAnswer: 68*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.42 + 0.48. Let q = 0.3 + -0.2. Let t = q + c. Sort 0.5, t, -3\/2 in ascending order.\nAnswer: -3\/2, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/9*(-1062)\/472*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o + o - 6*o)*(-1 + 1 + o) + 3*o**2 - 6*o**2 + 2*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of c**4 - 6424247*c**3 + 3287247*c wrt c.\nAnswer: 12*c**2 - 38545482*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1235 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: Let j(k) = -20*k**2 + 17*k - 17. Let w(z) = -7*z**2 + 6*z - 6. Suppose 15 = 5*p - 15. Give p*j(r) - 17*w(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 37 = 5*t + 5*s, 3*t - 3*s + 6 = 0. What are the prime factors of t\/(-6) + (-1935)\/(-10)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 406224 and 28756?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 92623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 + 7*s**2 - 16*s - 1. Suppose 3*j + 0*y = y - 24, -j - 3*y + 2 = 0. Let z be u(j). Round z to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from dsdsdskfddss.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.5 + 3.4. What is the nearest to n in 3\/2, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1721*q + 1719*q + 14 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-5*(-15)\/25)\/(1\/(-3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/((-1)\/(-6)*3). Let u = -5 + t. Solve -2*m = u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 93\/37 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**2 - x - 3. Let q(h) = -3966 + 7934 - 3967. Let y be (-6)\/4 - 2\/(-4). Let k be 2*(y\/2)\/(-1). Give k*c(j) + 4*q(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 17 + 23)*(-v + 2*v + 0*v)*(2*v - 3 + 1 + 0*v).\nAnswer: 78*v**2 - 78*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + 3*a - 12. Is q(-6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82.80284 decades in millennia?\nAnswer: 0.8280284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 6:31 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -29*v - 130. Let j(t) = 10*t + 39. Let i(h) = -10*j(h) - 3*s(h). Let f(b) be the first derivative of -b**2\/2 - 1. Determine i(f(n)).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 12:58 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -3 - (-3 + 1)) + (987 - 977)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1446 - 0.5?\nAnswer: 1445.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71.54141 nanometers to centimeters.\nAnswer: 0.000007154141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - l + 0)*(0 + 0 + 2) + l + 0*l + 0*l - 12*l - 20*l + 79 + 51*l - 167*l to the form r + b*l and give r.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 3 = 4*z. Suppose -2*v - 284 = 3*y + 138, z*v = y - 633. Let u = v - -510. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 73?  (a) 4  (b) -2\/17  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-1*sqrt(99) - sqrt(99)) - (1 + (sqrt(99) - (sqrt(99) - (sqrt(99) - sqrt(99)*-1))**2))) + sqrt(1331) + -2 + (5*sqrt(99))**2 + -2.\nAnswer: 2*sqrt(11) + 2564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + (sqrt(77) + -4*sqrt(77) - sqrt(77)))\/sqrt(11) + sqrt(112) + -1)**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 84 (base 11) in base 7?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of -h**7\/504 - h**6\/90 + 2*h**5\/15 + 993*h. What is a in u(a) = 0?\nAnswer: -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*148301.\nAnswer: 3114321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = 34*f - 185. Solve -b - 24 = -f*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2925*v + 16068. Calculate x(6).\nAnswer: -1482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ifi when three letters picked without replacement from eeippfpppiofppippip.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 6 + 0 - 2*p**2 + p**2 + 0 - 9*p. Let t = 3 - 10. What is the lowest common multiple of 14 and y(t)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26584\/67 at most as big as 396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1710, -3436, -5162, -6888?\n\"Answer: -1726*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 - -12)*(-3)\/(-9 + 3). Sort -0.3, s, -1, 9 in descending order.\nAnswer: 9, s, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -2*p**3 - 20*p**2 - 18*p - 5. Calculate b(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/8*w**3 + 27\/4*w**2 + 27\/8*w - 243\/4.\nAnswer: -3*(w - 18)*(w - 3)*(w + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22223 + -22249.982. Round x to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -5. Let b(n) = -6*n + 4*n - r*n**2 + n**2 - 9 + n. What is b(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 4. Let k be -2 - (3 + -2)\/((-3)\/15). Let n be -4 + (306\/(-72) - k\/4). Is n greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ujju when four letters picked without replacement from uujujzzjuujjjujjuj?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + -12 + (13 - 14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 685*f**2 + 32*f - 289. Is y(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*z**2 - z**2 - 4*z**2)*(-1 + 0*z - 1 + 5*z).\nAnswer: 30*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -1, 0.2, 2.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3690 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 185020?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + 12 - ((15 - -1) + (-82 - -15)) - 3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 64533 and 441?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-5511)\/(-605) + -9)*70\/42. Which is the fourth biggest value?  (a) 0  (b) 1\/4  (c) m  (d) -82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, z: 1, u: 1, b: 2, d: 2}. Give prob of picking 1 m and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2973241\/65490 - -1\/13098. Let h be ((-45)\/4)\/(6\/24). Let j = h + i. What is the smallest value in 4, 3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -155, -56, 119, 376, 721?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 + 11*b**2 + 13*b + 24. Let f be k(-10). Let m be 15\/9 + 10\/f. Solve m*y - 5*y = 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 PM and 5:35 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -151.375 + -55.19.\nAnswer: -206.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(700)*2*1 + 4*(sqrt(700) + 2))**2*-6*6.\nAnswer: -908496 - 25920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -1) + 8 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*w - 2312 - 481 = 106*w. Put -1\/4, 1\/2, w, 2\/21, 0.1 in descending order.\nAnswer: 1\/2, 0.1, 2\/21, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 - 2\/(2 - 4). Let j be (5\/(-20))\/(f\/84). Let p be 4\/3 - j\/21. Solve -p = -2*t - 11, -4*t = 5*n + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 0 - 3*m**3 + m**2 + 3 + 7*m**3 to the form g*m**2 + c + n*m + h*m**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -150 (base 12) to base 14.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0081 + 0.3919. Let v = 0.99 - 1. Let z be 4\/(-36) + -1*75\/(-189). Which is the nearest to z?  (a) -4  (b) m  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8562 + 8561.8. Which is the smallest value?  (a) g  (b) -2\/9  (c) 2\/17  (d) 3\/2  (e) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -13*v**3 - 34*v**2 - 177*v - 7. Is b(-31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 1 = i + 4*d, -3*i = 4*d - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -4.44906001542 and 427.\nAnswer: 422.55093998458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = -u. Suppose k + 4*h = 6*k - 206, 4*k + 4*h - 172 = 0. Suppose 9*l = -k*l + 153. Which is greater: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000327712 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*d = 40*d + 42. Let o(j) = -4*j**2 - 2*j + 3. Let h(q) = 9*q**2 + 5*q - 7. Determine d*o(b) + 3*h(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11 - 34 - 10)*(58 + 12*f - 58)*(-4*f + 5*f + 2*f) to the form m + x*f + i*f**2 and give i.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7128174*j - 437115*j + 338728*j.\nAnswer: -7226561*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-86\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 3*y**2 - 3*y - 6. Let r be d(5). Let w = 8 - r. What are the prime factors of w?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, g: 4, h: 2, f: 8, v: 2}. What is prob of sequence hvgu?\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -1. Suppose -2*g + 34 = s - h*s, 56 = -3*s + 4*g. Let j(t) = t**2 + 11*t + 5. What is the units digit of j(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 619265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004251161 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 23225745 <= 23225745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 5*i = 97 - 72, 0 = 3*i + 6. What is the least common multiple of 24588 and s?\nAnswer: 172116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3907495 is divided by 2532.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 10*k**2 - 3*k + 3. Suppose b + 3*b + 4 = -3*u, 0 = -u + 3*b - 23. Let s be -5*(u\/(-5) - 2). Is m(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-4)\/(32\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 8 - 1 = 4*g, -2*i + 5*g = 5. Suppose -12*x + i*x + 133 = 0. Let p = 42 - x. What is the remainder when p is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 5*g. Let f(d) = 3*d. Let s(r) = -8*f(r) + 5*m(r). Let p(a) = -15*a - 16*a + 54*a - 16*a. What is p(s(v))?\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37896951 is divided by 5168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, 7 in decreasing order.\nAnswer: 7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**2 - 8*j + 6. Suppose -3*u = -0*u - 18. Let v be g(u). Factor -8*t + 2*t - 5*t**2 + 11*t + v.\nAnswer: -5*(t - 3)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(13)*2 + (sqrt(13) + 2)*1 + (sqrt(13) - (sqrt(78) + sqrt(78)*-1)\/sqrt(6) - (2 + sqrt(13) + 0))*-3.\nAnswer: 10 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25529820?\nAnswer: 2, 3, 5, 463, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 + 10*u + 1. Let f be 8\/36 + 83\/(-9). Let k be (4\/((-36)\/(-21)))\/((-3)\/f). Is 5 a factor of t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**4\/2 - m**3 = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than -40905655?\nAnswer: -40905655.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/((i**3\/i)\/i)*i))\/(i\/(i**19\/i)))\/((i*i\/(i*i**12))\/i*i**9\/i) assuming i is positive.\nAnswer: i**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (9 - (-7 + (17 - -3 - 8) + 10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1918.7 + -1916.7. Which is the nearest to 0.0593?  (a) 1\/4  (b) -1  (c) t  (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4362, -8892, -13782, -19212, -25362?\nAnswer: -32412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 4904 = 4*i - 3*i, -3*s = 3. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 332677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gpp when three letters picked without replacement from {g: 1, f: 2, h: 9, p: 4}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19.671 - 48.671. Let b = -0.5 + 1.2. Let i = 0.4 - b. What is the second biggest value in 0, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61826 is divided by 36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*o - 4*o. What is the closest to 0.4 in 2\/3, o, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -17*n**2 + 4*n - 10. Let l(s) = s**3 - 2*s**2 + s - 1. Let u(z) = 2*l(z) + w(z). Is u(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -17*x**7\/210 - 221*x**5\/60 - x**4\/12 + 380*x**3\/3 + 3415*x**2 - 2. What is the second derivative of r(t) wrt t?\nAnswer: -204*t**2 - 442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7452\/(-5))\/6 - -3. Let o = -245 - b. Determine y, given that -o*y**2 - 18\/5 + 12\/5*y = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 1:58 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 648.7016 milliseconds in microseconds?\nAnswer: 648701.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4775, -4758, -4741, -4724?\nAnswer: -4707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 268 = 2*p + 176. Let w = p + -42. Suppose -7*v + w*v - 6 = -3*o, 4 = -3*o - 2*v. What is the second smallest value in o, 0.3, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 PM and 9:50 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*z + 620 - 306 + 39*z - 314.\nAnswer: 63*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*i - i - 3*i + (-4 - 2 + 4)*(-4*i + 0*i + 2*i) + i + 5 - 5 + 5*i - 4*i - 3*i + 324*i + 1084*i - 1975*i to the form j*i + n and give j.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -431 + 864. What are the prime factors of w?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9310931.3 to the nearest 1000.\nAnswer: -9311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 320 and 860825440?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 198 and 26229402?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 341699990\/(-6) + 30*(-19)\/342. Round f to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -8. Solve -4*w - x - 8 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 - 9. Let d(y) = 2*y**2 + y - 17. Let v = -42 + 38. Let f(i) = v*d(i) + 7*h(i). Let w be 3\/(-9) + (-11)\/3. Calculate f(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 56\/9 + (-2)\/9. What is the first derivative of -o**4 + q - 1 - 4*o**4 + 0 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3709, 3705, 3701, 3697, 3693?\n\"Answer: -4*w + 3713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 30, 143, 342, 627?\n\"Answer: 43*u**2 - 16*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 + 5*n + 10. Let l be z(6). Suppose -3*u = 2*w - 5*u + 4, 15 = 5*u. Solve 3*g + l = w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/7 - 32*w**2\/7 - 115*w\/7 - 12.\nAnswer: -(w + 1)*(w + 3)*(w + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, 0, 21, 5 in ascending order.\nAnswer: 0, 5, 21, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*h - 9. Solve -4 = -2*j - n, 6*n - 12 = -2*j + h*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r - 3. Let j(l) = -8*l - 7. Let z = -5 - -8. Let o(m) = z*j(m) - 7*f(m). Let s(a) = -a. Determine s(o(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -51 by -1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(2057) + (sqrt(2057)*-3 - sqrt(2057)).\nAnswer: -33*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -3 + 4. Let b = m - -13. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 5*m - 2 - 4*m + m**3 - 2*m**3 in the form l*m**2 + w*m**3 + a*m + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 2*p + 30. Suppose 3*w = -4*u + p, -3*u - 3*w - 1 = 2*w. Solve z - 3*f + 12 = 0, -f + 9 = z - u*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26568181 is divided by 587.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 g when three letters picked without replacement from gccgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**2 + 0*p**2 + 1477*p**3 - 3*p**2 - 1478*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -7.3. Let x = q - 0.1. Let w = -298 + 297.5. Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1985 and 35730?\nAnswer: 35730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -7. Let k be (-7)\/h - 7\/21. Let i(q) = -k*q**2 - q**2 + 0*q + q. Let j(b) = b**2 - b + 1. Calculate i(p) + j(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, -0.3, 74, -4.5 in ascending order.\nAnswer: -4.5, -0.3, -2\/13, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/22942?\nAnswer: -3\/22942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 1:17 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4141, -1, -2\/3?\nAnswer: -4141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 15) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -51, -160, -331, -564, -859?\n\"Answer: -31*s**2 - 16*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 34 and 701862.\nAnswer: 701862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.5571 - -3.5571. Sort 3, 4, h, -0.1, -0.474 in ascending order.\nAnswer: h, -0.474, -0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (4 - 4) + -8 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22143311414 - 0?\nAnswer: -22143311414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1.787285 meters?\nAnswer: 1787.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/((-1)\/(-3) - (-56)\/21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 84*p**2 + 99*p - 1306. What is i(85)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 210 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 364.56*-1\nAnswer: -364.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2171161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-5 - (1 - 0))\/(7294\/28) and -13\/9.\nAnswer: 4689","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 671119 is divided by 1653.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x - 2. Let q be l(2). Solve q = 2*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 337279 - 186558. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -1\/9  (c) -18961  (d) 3.08  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 7:30 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2772*q**2 - 3*q - 301*q**2 - 1067*q**2 - 723*q**2 - 613*q**2.\nAnswer: -5476*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*(v*v*(v\/(v**(-2\/5)*v)*v)\/v)\/v)\/v**(-1\/9))**(2\/19) assuming v is positive.\nAnswer: v**(316\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*z + 572 = 561 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 21\/1890 - (-2)\/20\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 - -27. Calculate the remainder when 36 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 5 + -11 + (11 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of -w**6\/60 - 39*w**4\/8 - 371*w**3\/3 - 1991*w**2. What is the first derivative of q(y) wrt y?\nAnswer: -6*y**2 - 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 + 86 = 5*y. Suppose -l = -y + 34. Solve -3*p - l - 5 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 278 + -277.6. Sort 2, 8, q in increasing order.\nAnswer: q, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 - 17 = 4*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + 1 + -33 + (8 - -13)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 - 8*d**2 - 10*d + 43. Give j(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 4*g = 4*c - 6, c = 4*g + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 - -25. Let m(u) = 36*u**2 - 11*u + 13. Is m(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13.05 and 1.243.\nAnswer: -16.22115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 - 14. Let j = 9 + -6. Suppose -j*m + 32 = m. Calculate the highest common factor of a and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 88\/220*(-2)\/(-4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/(-32) + 17\/4. Suppose -b*w = -6 - 6. Calculate the least common multiple of 8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eehm. Give prob of sequence mee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*a + 3*n - 88 + 130, -3*a = -5*n + 17 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 547\/408 + -1\/136. Which is the smallest value?  (a) -16  (b) g  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 874 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 4*i - 248 = 0. Suppose 0 = 5*x + i - 42. Let t(l) = -15*l - 40. What is the units digit of t(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3063 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/((-3)\/29))\/(-1 - -2). Suppose -z = -l + 18. Let h = l - 10. Is 36 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14 is divided by 3\/(-1) + 0 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from broxqxrrqxxrror. Give prob of picking 1 r, 2 q, and 1 x.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 2*f + 26 - 37, -4*f + 6 = -4*r + 42 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 108306372 divided by -58042?\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 81\/(-2)*(-41968)\/(-15738)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2 + 14064*w + 28144.\nAnswer: -4*(w - 3518)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c - 39 = -423. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 2*f + 4676, 4*q - 26 - 3710 = 4*f. Is q a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -206*h**2 - 134*h**2 + 61*h**2 + 1 - 1 + 282*h**6 wrt h?\nAnswer: 33840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -569001*o + 569005. What is h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 4*x + 9. Let u = 18 - 15. Let g(f) = 2*f + 4. What is u*r(j) - 7*g(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 greater than or equal to -23\/379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rlrllrlrrl. Give prob of picking 4 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*j + 17 = 5, 5*j + 44 = 2*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 19.02  (b) 3\/4  (c) -1\/81  (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 4\/7, -2, 0.152, 0.107?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 10:47 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvddvvd. What is prob of sequence dvdv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 485.9 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -151, -332, -513, -694, -875, -1056?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29.706 + 4.716. Let k = 5 + 20. Let n = i + k. What is n rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3548 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: Calculate the smallest common multiple of 649140 and 69800.\nAnswer: 6491400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (37\/5 + -1)*-5. Suppose 5*i + 7*i + 36 = 0. Let f be (0 + k\/6)*i. Calculate the highest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - 4. What is o in 2 - 7*o**2 + b*o + 4*o + 25*o**2 = 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 0)*(0*v - 4*v + v) + (v + v + 0*v)*(2 - 1 + 1) - 2 + 2*v + 2 + v - 9*v + 3*v + (-76 + 22 + 32)*(2*v - v + v) + 4*v - 2*v + 0*v.\nAnswer: -47*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/305)\/(2 + (-2673)\/1260). Let a = j + -6\/61. Let -4\/17*m**2 + 2\/17*m**3 + a*m + 0 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 185883 and -2.28?\nAnswer: -423813.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2392 + -2130. Solve -263*d = -h*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 72 + -69. Suppose 19 + 2 = y*b. Suppose 3*s = 2 - 11, g + 4*s = -b. Solve 0 = g*d - 25, -4*a + 2*a + 2*d = 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 - 59. Let h = q + 54. What is the greatest common factor of h and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 14 + 1, 5*c - 80 = -4*x. Suppose 3*u - 390 = -j, -4*u - 5*j = -543 + c. What are the prime factors of u?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.4 - -0.7. Let v = 0.1 + 0.9. Let p = 4838 + -4836. Which is the closest to p?  (a) v  (b) -1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -99 + 98.882. What is m rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -95 + 1?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6729 * -0.5.\nAnswer: -3364.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 31 and -14.2?\nAnswer: -440.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -296206, -592420, -888646, -1184890, -1481158, -1777456, -2073790, -2370166?\n\"Answer: -w**3 - 296207*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (2 - 1) + -5 + 6 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 2\/15, 3, -5 in descending order.\nAnswer: 3, 2\/15, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 278168.\nAnswer: 278168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of 2*k**3\/3 + 13. Let z(t) = 6*t. Give z(o(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + -2ad?\nAnswer: -2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22*60\/141900*129.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 447*y + 721*y = -28032 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10991*z**3 + 31726*z**3 - 9698*z**3 - 11000*z**3.\nAnswer: 37*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3098630893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -28259*k - 70414?\nAnswer: -28259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -173\/222 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 13401*s - 239. Is w(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -1764510?\nAnswer: -1764513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 15 - (12\/12 - -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.195969*0.146.\nAnswer: -0.028611474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/18)\/(6\/27*3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 126*o + 46. Let a be w(4). Let f = a - 548. Solve -20 = 2*m + 5*r, -5*m + f*r - 7*r - 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 2:31 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18395752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33278 - 23487. Let z = 5391 - v. What is z rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence krpj when four letters picked without replacement from kjjrp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1547*w**3 + 7766*w wrt w?\nAnswer: -9282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0485 and 6.\nAnswer: -0.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 31.9, -5, -0.5, 4 in increasing order.\nAnswer: -5, -2, -0.5, 4, 31.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - -1 - (2 + 0) - (56 + -60)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -18  (b) -3  (c) 0.5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 24*k**2 - 5*k + 7. Let u be j(-8). Factor 1583*r - 1 - 2*r**2 - u*r + 3.\nAnswer: -2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 403*t = 401*t - 7*y + 8*y - 23, 0 = -4*y - 12 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-40)\/(-4230)*(-93)\/18 and -51\/10.\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1035587879.\nAnswer: 12097, 85607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 9:44 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2833 a factor of 101608378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 1. Let x be (-66)\/(-30) + (-1 - 1). Let n = -128 - -509\/4. What is the closest to -0.1 in n, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 - 286 = -2*i + 5*s, 3*i - 309 = -3*s. Calculate the greatest common factor of 153 and i.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of 2387*g**5\/5 - 3931*g**3\/3 + 3392. Find the third derivative of r(f) wrt f.\nAnswer: 57288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -47538*a + 47926*a - 1552 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -815, -669, -427, -89, 345?\n\"Answer: 48*d**2 + 2*d - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54556 is divided by 27124.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 5*p + 104, -2*w = 2*p - 5*p + 30. Let o = -12 - w. Calculate the remainder when o is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, -105\/8, 2\/9, -0.2, -0.3 in descending order.\nAnswer: 5, 2\/9, -0.2, -0.3, -2, -105\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 197587309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 z when three letters picked without replacement from {d: 1, w: 1, z: 1, v: 1, y: 1, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-228)\/(-133)*(1540\/15)\/44?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -53856316.\nAnswer: -3\/53856316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*v, 0 = -3*h + 4*v + 23 + 21. Suppose -3*g = -5*s + 12, -h = 3*s - g + 5*g. Solve s = 3*f - 0*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 114, 231, 348, 465, 582, 699?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1100487 is divided by 91660?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 2975.1.\nAnswer: -892.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/18)\/(146710\/12945*2\/8*-2)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q + 5*q + 39*q**3 + 0*q - 36*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - c + 10 = 0, 2*c = 4*o + 131 - 117. Sort 2, 0, 5, o, 1.\nAnswer: o, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -96 - 0. Calculate the greatest common factor of w and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5298 divided by 6.\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 490 - 3268 = -3*u, -3*u + 4640 = 5*w. Suppose 3*c + w = 10*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -84 or -1101\/13?\nAnswer: -1101\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2, 2\/11, -3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5609504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -193\/304458 and -57\/202972.\nAnswer: 608916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2193 - 2193 + 2*l**2. Let j(g) be the first derivative of 2*g**3\/3 + 1. Give j(n(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from zhhhhhhzhhhh.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide (360\/(-105))\/(4\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.2  (b) -5  (c) -0.55  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 54531 - 14?\nAnswer: 54514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4225 - -4225. Let z(r) be the third derivative of 0*r + y - r**2 + 1\/80*r**6 - 1\/16*r**4 + 3\/40*r**5 - 3\/4*r**3. Factor z(t).\nAnswer: 3*(t - 1)*(t + 1)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + -5)*9\/6. Let w = 3 + y. Let c be (5 - -41)*(w - -4). Calculate the greatest common factor of c and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(104)*1)\/((sqrt(8) + sqrt(16)\/sqrt(2))*1) - (2*sqrt(13) + -5 + (2*sqrt(65) - sqrt(65))\/sqrt(5))*-6.\nAnswer: -30 + 41*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - 18)\/((-1)\/2). Suppose -2*b = -36 - 58. Let y = b - d. Sort -2, -4, y in increasing order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to -2\/451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of 0*b**5 + 8\/3*b**4 + 0*b**6 - 11*b + 0*b**2 + 0*b**3 + 0 + 4\/7*b**8 + 0*b**7. Find the third derivative of c(l) wrt l.\nAnswer: 3840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r - 4*r = -65 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {i: 1, t: 1, f: 1, c: 1, q: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 41775 * 0.0419.\nAnswer: 1750.3725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4412 - 4400. Solve u + 0*d - 12 = 4*d, -4*u - 2*d = -t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.95 - 2.35. What is the biggest value in i, 0.3, -4, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.293 - 0.3. Let p = 53.3 - 53.767. Let c = y - p. What is c rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -3*m - 2*m. Solve 9*x - 6*x = -m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 36740.44 years?\nAnswer: 3674.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41014607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-369) + 15 + 167550\/(-11275)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 13696*z + 917. Let q(v) = 3*v**2. Give t(q(p)).\nAnswer: 41088*p**2 + 917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2040, 2322, 2588, 2832, 3048, 3230, 3372?\n\"Answer: -g**3 - 2*g**2 + 295*g + 1748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15226464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o. Let t(l) = 2184*l. Determine c(t(g)).\nAnswer: 4368*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -9 - (374\/(-23) + 22 + (-195)\/13). Factor -g - 8\/23*r - 2\/23*r**2.\nAnswer: -2*(r + 1)*(r + 3)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*q**2*u**3 + 10*q**2 + 17*q*u**3 + 2*u**3 + 10*u**2 wrt u.\nAnswer: -24*q**2 + 102*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 68 + -58. Find the third derivative of 28*o**2 + 52*o**3 - 56*o**2 - d + 26*o**2 wrt o.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -81225*o - 1\/3*o**3 - 285*o**2 - 7716375.\nAnswer: -(o + 285)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/13 in -0.2, 7, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 0.002, 12, 3?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 267 + -227.2. Let i = f + -40. Let v = 34 - 35. Which is the nearest to v?  (a) i  (b) 0.4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -19, -27, -37, -49, -63?\n\"Answer: -v**2 - 5*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/1*3\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hqhzhqqeeeqzq. Give prob of picking 1 z and 1 e.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.2 - 0.2. Let o = -28.625 - -25.625. Let k be (2\/(-4))\/(4 - 2). Sort 2\/5, o, k, u in descending order.\nAnswer: u, 2\/5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - 3)*1*-10. Suppose -c*z + 9 = -17*z. Solve 4*r = -2*h + 5*h + z, -r - h = 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1590041459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 7*d - 5. Let m(c) = 1 + c - 2 + 0*c. Suppose f + 6 = w + 11, 2*w + 20 = 4*f. Determine f*m(k) - h(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**5 + 0*x**5 - 2*x**5 + 3*x**2 + x**5 - 3*x**2 + (-3*x**2 + 3*x**2 + 3*x**4)*(-x + 0*x + 4*x) + (-x**5 - 3 + 3)*(-4 + 2 + 4).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, c: 1, t: 5, p: 5}. What is prob of sequence tttt?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -15*h + 17. Give r(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 1. Let o(v) = -16*v - 5. What is -3*i(p) - o(p)?\nAnswer: 16*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of 1338*l**7\/7 - 679*l**3\/3 - 634. Find the third derivative of r(k) wrt k.\nAnswer: 160560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 - -28137549081671\nAnswer: 28137549081672.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6624 + 33*i + 6624.\nAnswer: 33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -9*y**3 + 5*y**2 - 12*y + 45. What is h(3)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j**2. Let l(u) = u**3 - 5*u**2 - 3*u + 17. Let g be l(5). Let y(a) = 4*a**g + 10*a**2 + 16*a**2 + 13*a**2. Calculate y(d(o)).\nAnswer: 172*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 111, 132, 153, 174, 195, 216?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 AM and 8:30 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 123*f - 27*f + 384 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*o - 24, 3*r - 31*o - 254 + 271 + 151 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 + 0 - -5) + 2. Let a be ((-24)\/432)\/((-2)\/(-6))*-12. Suppose -47 = -s*b - a*p, -4*p = 5*b - 0*b - 49. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 171.29 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130*x + 191 = -69. Solve x*k = 8, 35 = 3*a + 2*k + 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -521 + 151244?\nAnswer: 150423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 13127 divide 3605396185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ftqqqttdtftqqqqtqd. What is prob of picking 4 q?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 439 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-12)*24\/(261\/(-36) + 8).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*-1*24*(-51)\/(-680)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 2*s + 2586, 1395*q + 1289 = 1396*q - 3*s. Is 34 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 63 + -117446?\nAnswer: -117363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1796 by -41.\nAnswer: -1796\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2, -5394, 4, -0.4, 387?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*x + 41*x + 45*x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*b**4\/2 - 8939*b**3\/2 - 264364*b**2 - 19558*b = 0.\nAnswer: -254, -77, -2\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 72496 = -3*d - 22304. Round d to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -62*d**5 - 62*d + 2?\nAnswer: -1240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -82\/76755 and 64\/1071?\nAnswer: 230265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -147, -0.5, -1\/423?\nAnswer: -1\/423","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 651708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -5. Suppose g + 4*v - 14 = r, 3*g - 3 = -0*g + v. Solve 2*c = -2*a + 6, 4*a + 3*c - 7 = g*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -254 - -256. Find the second derivative of -22*i**3 + 158*i**u + 87*i - 159*i**2 - 11*i wrt i.\nAnswer: -132*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34969115?\nAnswer: 5, 6993823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuuuuuuuuuuuuuvuu?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of 7*t**3\/3 + 27*t**2\/2 + 73*t + 38. Does 45 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-1*(sqrt(2352) + -1)*-5)**2.\nAnswer: -1400*sqrt(3) + 58825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 22, 2875.5, 2\/9, 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 189*a**3 - 23*a**3 + 789*a**2 - 785*a**2 + (-2 + 2 + 1)*(a**3 - 4*a**3 + 4*a**3) to d + z*a + j*a**2 + v*a**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -78 + 143. Calculate the common denominator of 2\/3 + 100\/6 and ((-34)\/(-1))\/(1 - (h + -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((6 + -4)\/(-2))\/(-1) - -60. Let h = -7 + c. Calculate the remainder when h is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2341, 2752, 3417, 4336?\n\"Answer: 127*g**2 + 30*g + 2184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of -2*t**3\/3 + 8*t**2 + 8*t. Let w be n(5). Let i be (-1)\/(w\/(-18)) + 3. Does i = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/(-4))\/((-6)\/12). Let v(y) = -33*y**2 + 2*y. Let q be v(d). Let k = q - -35. Which is the second biggest value?  (a) k  (b) -1\/4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8435 and 16165075.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 228599 and 7571?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 14. Let l = g + 1. Let h = -879 + 884. Sort 0.04, h, l in descending order.\nAnswer: h, 0.04, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 444552 (base 16) to base 8\nAnswer: 21042522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - sqrt(57)\/sqrt(3)) + -5)**2 - (1 + 1 + sqrt(19)) - (sqrt(95)\/(-2*sqrt(5)) - (sqrt(475) + 1 + sqrt(19))).\nAnswer: 11*sqrt(19)\/2 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of w**5\/60 + 29*w**2. Let n(j) = 7*j - 2*j + 0*j. What is l(n(x))?\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 + 1)*20\/(-6). Let a(j) = j - 2. Let i be a(l). Is 6 a factor of i\/10*(-10 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170843 is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - d**2. Let a(f) = f**2 + 11*f + 13. Let r be a(-10). Let y(n) = -3*n**2 - r*n**3 + 2*n**3 - 2*n**2 + 1 - 3*n**3. Determine 5*s(v) - y(v).\nAnswer: -v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -284*b**4\/19 + 14766*b**3\/19 - 173420*b**2\/19 + 157818*b\/19 + 1120\/19 = 0 for b.\nAnswer: -1\/142, 1, 16, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/17)*l)**44\/(l\/(l\/((l**(-5\/6)\/l)\/l))*l**(-25)) assuming l is positive.\nAnswer: l**(7855\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6086 = -4*f - 17922. Let z = -1561 - f. What are the prime factors of z?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/4*-4 - -3 - -2. Suppose -5*r = -p*z + 164, 4*z - r + 3*r - 184 = 0. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(1216) - (sqrt(1216)*1 - sqrt(1216)) - sqrt(1216)) + sqrt(1216) - sqrt(1216)) + 0 + 5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 202 and 1313?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 + 5)*1*-787 - 2. Let j = -779 - b. Solve -3*m + j*m = -35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.3 - -545?\nAnswer: 542.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.05347083 - -0.00547104. Let l = 0.048 + t. What is l rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 6*m - m - 743, -5*m - 566 = -3*g. Calculate the greatest common divisor of 33 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 370392 and -14.\nAnswer: 370378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 - 14*p**5 + 27 + (p - p + 2*p**2)*(-p**3 + p**3 - p**3) + 0*p**5 + 0*p**5 - 2*p**5 - 2*p**5 + 0*p**5 - 9*p**5)*(-3 - 3 + 4)*(1 + 3 - 2)*(2 + 3 - 3).\nAnswer: 232*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 281563.\nAnswer: 281563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2013420110 - -10?\nAnswer: 2013420120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 3*x = 7, -5*f + 4*x - 662 = -638 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1953\/340 + 26\/85. Calculate the common denominator of p and ((-2)\/(-8))\/(266\/108).\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.80755843 to three dps.\nAnswer: -6.808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13292947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + -254500411?\nAnswer: -254500413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 5110, 4582, -1606, -13466, -31010?\nAnswer: -54250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l**2 + l - 1. Let r = 10 - 12. Let a be m(r). Suppose -g + o = -4 + 1, 15 = 2*g - a*o. Solve 0 = -3*j + 4*c - 12, -c - 20 + g = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*y - 3 + 29*y + 34*y + 3 - 34*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 2*a - 4 - 1, -4 = 2*t - 2*a. Let x(i) be the first derivative of 1\/3*i**3 + 2 - t*i + 3*i**2. Determine x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f. Let q(z) = 9*z + 9*z + 4*z - 73 + 5*z - 26*z. What is u(q(x))?\nAnswer: -2*x + 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i + 3*t + 38, -8*t - 42 = -5*i + 65 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 PM and 7:05 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25 - -24.9964. What is i rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -5*z**3 + 3*z**2 - 4*z + 9. Let j(v) = -6*v**3 + 4*v**2 - 5*v + 9. Let i(y) = y**3 - 32*y**2 + 219*y + 18. Let m be i(22). What is m*j(p) + 5*w(p)?\nAnswer: -p**3 - p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3738 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -s**2\/4 - 42*s = 0.\nAnswer: -168, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -4*z - 60. Let x be h(-17). Let t(o) = -o**3 + 4*o**2 - o - 3. Let i be t(2). Suppose i*b - 4*b + 5 = 0. Solve j + x = b*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1474763?\nAnswer: 31, 113, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 833, 1571, 2309?\n\"Answer: 738*f + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -5 + -4*sqrt(19)*-3.\nAnswer: -3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 4  (b) -4  (c) 5  (d) -5\/8  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.26?  (a) 0.1  (b) 1  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42 by -20.\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-853 + 371 + 239 - 49028*m**2 + 243)*(2*m**3 - 2*m**3 + 2*m**3).\nAnswer: -98056*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -8*z - 152. Let o be l(-19). Solve 5*b = -o*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/24))**(2\/17)*y**(-2\/57)\/y*y\/y**(1\/16)*y assuming y is positive.\nAnswer: y**(4689\/5168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-512)\/120*(-10)\/(-2)*(-2334)\/(-1556)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-80)\/(-12) - 5)\/(7\/(-21)). Let d(v) = 12*v + 60. Let x be d(y). Solve -3*j - 12*j - 45 = x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.024 + 0.476. Sort -2.2, 5, 1, w in increasing order.\nAnswer: -2.2, w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42633 divided by -1579\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0.2  (b) 1\/111  (c) -3  (d) 0.0358  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 11 = 2*s - 37, -20 = -3*i - 2*s. What is the remainder when (-8 + 12)*10\/4 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + w + 11 = 0, w = -r - 0*w + 1. Suppose -3*z + u + 1651 = z, 4*z - 1655 = -r*u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 9*q - 7. Let d be k(-6). Let p = -8 + d. Suppose p*g - 6*g = -51. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12 - -2)\/(-2))\/1. Let h(y) be the second derivative of -y**4\/4 + 4*y**3\/3 - y**2 - 115*y. Let n(c) = 2*c**2 - 7*c + 2. Calculate g*h(u) + 6*n(u).\nAnswer: -3*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4*i + 14. Suppose 6 = -2*a, 18 - 70 = -d - 5*a. Let h = d - 56. What is the units digit of n(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -1\/2  (b) -30  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -5*y - 64, -99*y = 4*k - 292*y + 99*y + 97*y + 56 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4310 and 9051.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 10:03 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 3 - (-34 + 34).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 79795226 to the nearest integer?\nAnswer: 8933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 531169*f**3*x + 497890*f**2*x + 1 wrt f.\nAnswer: 3187014*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 61 = 9. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((0 + 0)*8\/32)\/2. Solve j = -3*h - 8*h - 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -501, -982, -1843, -3132, -4897, -7186, -10047, -13528?\nAnswer: -17677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 2) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 356164375 and 700?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*p - 7526 + 7525 - 6*p.\nAnswer: -24*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 622591385 to the power of 1\/2, to the nearest integer?\nAnswer: 24952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(720) - ((sqrt(720) - (4 + sqrt(720)))*2 + sqrt(720)) - (-3*sqrt(720) + 5))**2.\nAnswer: 216*sqrt(5) + 6490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of 2*o**3\/3 + 2. Let y(g) = -6*g**2. Determine l(y(s)).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 - -22. Let i = -8 - x. Suppose b + 1 - 4 = 0. Is b at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1160355?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 5 = 3*f + 2*f, f = -2125*u + 2128*u + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/182 and -105\/4362826.\nAnswer: 30539782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -10112 (base 3) to base 6\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1486 is divided by 371.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of d**6\/240 + d**5\/40 - d**4\/6 + 9*d**2. Let n(w) be the second derivative of z(w). Determine n(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -27\/27875 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-10))\/((-80)\/200) - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2)\/((m\/m**(1\/8))\/m*m))\/(m\/((m*m**1\/m*m)\/m))**17)**(-4\/5) assuming m is positive.\nAnswer: m**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 162175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 7054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-28802)\/(-16) - (-1 - -4). Let g = p - 1800. Find the common denominator of 18\/11 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003753 rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/59, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 1)\/(1\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*a**3 + 6*a - 6*a + 17*a**3 - 18 to the form j + q*a + d*a**3 + v*a**2 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51844.\nAnswer: 2, 13, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kquhqhhwkhkhq. What is prob of sequence ku?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5685, 10979, 15481, 18795, 20525?\n\"Answer: -66*n**3 + 5756*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24469?\nAnswer: 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/3 + 26*d + 448\/3.\nAnswer: 2*(d + 7)*(d + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gedggixixxgiiix. Give prob of sequence eid.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 7*a = -5*v, -v - 16 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1127 + 24133. Suppose m + 492 = 24*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 + 30*q**2 + 3*q + 8. Calculate k(-30).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 16*c + 2253. Calculate o(-140).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/(-30) - (-14)\/15. Let z = h + -21\/10. Which is the closest to 2?  (a) 0.2  (b) z  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -51590.0349923 - -51590. Let u = 0.175 + -0.14. Let i = u + m. Round i to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -4*r**3 + 139*r**2 + 29*r + 396. Let k be s(35). Solve 26*w = -5*w + k for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 87 + -1351484?\nAnswer: -1351397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9730 and 272045935.\nAnswer: 4865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-334)\/(-4175))\/(8\/1132) - 2\/(-25). Factor 3\/5*v**2 + 54\/5 - o*v.\nAnswer: 3*(v - 18)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*18\/15)\/(42\/(-15))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 899 a factor of 33225448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 94084.6 nanograms?\nAnswer: 0.0000000000940846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (22 + -25 - (-8 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 43*x**2 - 132*x - 61. Is h(37) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 3*k**2\/2 - 27. Let n(f) be the first derivative of f**3\/6 + f - 3. Let o(j) be the first derivative of n(j). Give o(g(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 328\/747 + -18\/83. Which is the nearest to 0?  (a) 0  (b) 1  (c) m  (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 3*k**2 - 51*k + 4. Let c(i) = -i**2 + i + 2. Let y(h) = -6*c(h) - v(h). List the prime factors of y(-19).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4  (b) -36  (c) -1.439  (d) -126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201110110 + 1?\nAnswer: -201110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.929 rounded to one dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(297)\/sqrt(324) - ((sqrt(1617)*1 - sqrt(1617)) + sqrt(1617)))\/(sqrt(88)\/(5*sqrt(8)*1)*1).\nAnswer: -205*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3935*-24\nAnswer: -94440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b3 (base 13) in base 7?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c6307 (base 15) to base 10.\nAnswer: -628432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiiy when four letters picked without replacement from pipy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 + 110\/33)*18\/5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 - 2)\/(-9)*6. Solve -q*j + 14 = 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 729 = -0*x. Let i = 164 - x. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -5*m + 160, 3796 = -4*m - c + 3924 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*o**3*w**2 + o**3*w - o**2*w + 20576864*w**2 - 42547253*w wrt w?\nAnswer: -4*o**3 + 41153728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of 3*a**3\/2 + 29*a**2\/2 - 85*a. Let c be v(3). What is the highest common factor of 24 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-22867)\/78 + 0\/(-2). Let l = 859\/3 + k. What is the common denominator of l and 19\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 + -5. Let s(t) = t**2 + 3*t - 4. Suppose -d + 5*d + 20 = 0. Calculate the smallest common multiple of s(d) and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*l**3 + l**2 + 168*l.\nAnswer: 84*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 331662 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 n(u) = -u + 4. Let f be n(4). Suppose 10*z - 5*z - 35 = f. Solve 2*i = -t, 2*i = -3*t + 1 + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-22)\/33)\/(17\/(-510))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, n: 3}. Give prob of sequence nn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 + 9.99. Let u = -0.010003 - q. What is u rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 d, and 1 h when three letters picked without replacement from dnhik?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 5*m**2 - 3*m - 2. Let h be u(8). Suppose -37 = z - h. Calculate the remainder when z is divided by (-4)\/74 + (-7712)\/(-296).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dldllzdlxloxdlzdz. What is prob of sequence zox?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -4*p - 1. Let a be 4 + 1 - (-25080)\/(-1254). Put p, 2, -2, a in increasing order.\nAnswer: a, -2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4423.4676 + -4437.4675972. Let d = 0.17 - -13.83. Let l = d + a. What is l rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 - 5*z - 6. Let k be s(5). Let j(u) = 3*u**3 - u**2 + u + 1. Let o(i) = 20*i**2 + 7*i**3 + 0 - 16*i**2 + 7. Let f(r) = 2*j(r) - o(r). Give f(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:21 PM and 5:45 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 2*q - 4, 4*q = 2*q - 4*i + 8. Suppose -y + 31 - 12 = q. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.054785 and 1.44.\nAnswer: 0.0788904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/4 != 43\/760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - (7 + 16 - 0) - -43.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1506, -4, 1769, -0.2 in ascending order.\nAnswer: -1506, -4, -0.2, 0, 1769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l**2 + 108*l - 368 = 0.\nAnswer: 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 4:41 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 9*p - 6. Let x be f(3). Let c be 4 + 7\/(x\/(-6)). Let k be c + 9\/5*-1. Which is smaller: k or 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 118, 98, 62, 4, -82, -202, -362, -568?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3908 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 738, 3051, 6908, 12309, 19254, 27743, 37776?\nAnswer: 49353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 1431107*x + 321. Let j(u) = -u. Give j(y(k)).\nAnswer: -1431107*k - 321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/(sqrt(8) + 2*((sqrt(8) - (sqrt(8) + sqrt(288))) + sqrt(8))))**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4166 is divided by 356.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 16 = -4*r, 2*r - 43*w + 46*w + 0 = -8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, r: 1, k: 2, t: 2, f: 2}. Give prob of picking 1 k, 2 f, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19041602.\nAnswer: 2, 557, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 102*u**2 - 83*u**2 + 10*u**4 - 3*u**4 wrt u?\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1170 = -40*m + 49*m. Calculate the greatest common factor of m and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3*k**2 - 9*k. Let u(p) = -7*p**2 - 19*p. Let j(v) = 9*t(v) - 4*u(v). Determine j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 572\/22*11\/(-6) - 1177\/(-321).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4297723 and 17185.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r**3 - 90*r**2 + 80*r - 177. Let g be t(-46). Solve 4*o = -71*o - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(2 + sqrt(117))*-2 + 1*(sqrt(117) + -2*(0 + sqrt(117) + sqrt(117))))**2*3.\nAnswer: 1944*sqrt(13) + 28863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210*c = 159*c + 204. Solve -c*t + 6 = 2*a, 0 = -20*a + 19*a + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 4. Let a be (-101)\/(p\/1 + -1). Suppose 4*f = 5*f + a. Round f to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -13. Let m(k) = -k**3 + 4*k**2 - 3*k - 3. Let n be m(3). Which is the third biggest value?  (a) p  (b) n  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1722 a factor of 387704856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 14) in base 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 90697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 9 = d, -3*d = 2*i + 2 + 5. Let j be 1 + 1 - (d + -43). Suppose 4*m + 2*s = 82, -2*m - s - s + j = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 4*c - 2 - 30*c**3 - 3 + 25*c**3 to the form u*c + l + b*c**3 + r*c**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3404 = -1638*t - 1639*t + 3203*t for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**4\/2 + 68*q**3 + 2202*q**2 + 8008*q + 7744 = 0.\nAnswer: -88, -44, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -13224 and -2?\nAnswer: 13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 33814*s**2 + 2*s - s**3 - 16910*s**2 - 16 - 16910*s**2. Suppose 5*f - 21 = o + 2*o, o + 7 = 3*f. What is the remainder when z(o) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1043?  (a) 75  (b) 12  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-2)\/2)\/(888\/178 - 5).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/10)\/(38\/((-104500)\/66)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1502*y + 398 wrt y.\nAnswer: -1502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 - 29 = 3*j + g, -2*g = 2*j - 42. What is the remainder when 35 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*r**3 + 52*r**2 + 13763*r + 14944607 wrt r.\nAnswer: -15*r**2 + 104*r + 13763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(330)\/(sqrt(6)*3) - sqrt(165)\/sqrt(3)*1)\/((sqrt(40) - -6*(sqrt(40) - sqrt(640)))\/((sqrt(88)*2)\/sqrt(11)))*4.\nAnswer: 16*sqrt(11)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3 - 81043*k**2 - 162093*k + 243135.\nAnswer: (k - 81045)*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 7. Suppose 4*s - 4 = 4*z, -2*z + f = s - 1. Find the third derivative of 2*t**4 + 0*t + 0*t - t**s wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1575020.16 to the nearest ten thousand.\nAnswer: 1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/(12\/8 - 1). Suppose -7*i + 11*i - l = 0. Let q(j) = j**2 + 5*j + 4. Is q(i) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2512967602 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 2:39 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10384930531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11650.041 months to centuries.\nAnswer: 9.7083675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 82\/(-105) + 45\/63 - (-4314)\/(-90)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(4\/7)*q*((q*q\/(q*q*q**(-2)*q))\/q)\/q*q*(q*q**(-11))\/(q\/q**(1\/9)))**23 assuming q is positive.\nAnswer: q**(-13501\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -45*d + 430. Calculate t(16).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7663\/13  (b) -2  (c) -2\/11  (d) 1\/4  (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2072 + -32?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 24 = 3658*t - 3661*t, 0 = 5*f + 10 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6251881 to the nearest integer?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2775 + -1195. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 - 26. Solve 4*k + 5*n - 15 = 0, -3*k + 4*n = -5*k + s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -150 (base 7) in base 8?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.4, 2\/11, -1, -0.2, -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1286748 and 55344.\nAnswer: 5146992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-35)\/11 - (-2)\/11. Let i(y) = y**3 - 5*y**2 + 2*y**2 + 0*y**2 + y - 2. Let w be i(3). What is the third biggest value in -0.3, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1332\/(-148)*(-2)\/((-7)\/((-21)\/18)))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2076 + 240?\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 16 = -9*g. Let c(n) = n**3 - 5*n**2 - 7*n + 9. Let s be c(6). Let h = 4 - s. Sort h, -2, g.\nAnswer: g, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l + l - 7*l)*(0*l**3 - l**3 - l**3)*(-2 + 2 - 1)*(l - l + l).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 35\/((-175)\/90) + 1272. What is the greatest common factor of l and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 19. Solve b = -2*x - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 513, 513, 503, 477, 429, 353?\n\"Answer: -o**3 + o**2 + 4*o + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -1, -51, -4 in descending order.\nAnswer: 7, -1, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2029 + 165 + 1364)*(4*i - 3*i - 2*i) - 2 - 2*i + 2.\nAnswer: -3560*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (51\/136)\/((15\/(-20))\/(-1)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4*p = -9. Let n be 210\/25*(-200)\/p. What is n rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128*o - 96 = -4*w - 132*o, -2*w + 5*o = -20. Solve -19*y = -29*y - w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90, -170, -364, -726, -1310, -2170?\nAnswer: -3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 + 31*y**2 - 60*y + 79. What is f(29)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 25*n - 66. Suppose 5639995 = 4*t + k, -3*t + n*k + 3745687 = -484323. What is t rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 8 = -13. Let t be (c + -2)*-1 - -78. Suppose 4*g + t = 337. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (45\/6)\/(-5)*2. Let t = x - -6. Suppose -4*f + t = -1. Calculate the smallest common multiple of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 200\/(-30) - (-14)\/21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 4*h + 6. Let j be d(5). Let w = j + 3. Suppose 5*s - 5 = w*s. Calculate the remainder when 14 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*j - 35. Let b(f) = -f**2 - 2*f + 17. Let x be b(j). Suppose x*g + 6 = 36. Calculate the remainder when 27 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 3*g - 25, -10 = j - 5*j + 2*g. Let z(o) = o**2 + 18*o + 22. Let n be z(-14). List the prime factors of (n\/j)\/((-9)\/45).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -835 - 58*j - 832 + 1673 + 58*j + 60*j**2.\nAnswer: 60*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = 4*u - 26, 132*u - 136*u + 3*l = -10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(475) + -2)**2 + sqrt(475))*-2 + 0 + (-1 + sqrt(931) + -1)*1.\nAnswer: -960 + 37*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -69219*y. Let r(n) = n**2. What is d(r(h))?\nAnswer: -69219*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from lxllhxxhlhh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18730380 and 3668?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18865 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 39231.47 kilometers?\nAnswer: 39231470000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15236?\nAnswer: 2, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/13 in 3\/7, -1\/5, 0.5, -3\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 130 and 611670?\nAnswer: 7951710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19873\/8 + 2484. Let a = -77\/25 - -1987\/150. Calculate the common denominator of o and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/8)*g)\/g)**(1\/80) assuming g is positive.\nAnswer: g**(-1\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 246968.4 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -552564 + 1155587. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of -w**4\/4 + 9*w**3 + 29*w**2\/2 - 42*w + 25. List the prime factors of h(27).\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 42 in -4\/3, -9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -6 + 2 + -44 + 51 - 4 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1032937 and 4607.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*j**5 + 0*j**5 + j**5 + (3*j**2 - 2*j**2 + 0*j**2)*(j**3 - 4*j**3 + 5*j**3) + (2*j**3 + 2*j - 2*j)*(-4*j + 3*j - j)*(-j + 0*j + 3*j).\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -11 + 3. Let c = -148 + 142. Let s be 6 - (6\/c + 2). Put q, 0, s in descending order.\nAnswer: s, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15988 is divided by 219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 37 and 29.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -748.3 + 748.4. What is the nearest to j in -153, 0.3, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/20082 and -85\/18.\nAnswer: 60246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 110 + -769\/7. Sort -5, -0.2, 3, q in descending order.\nAnswer: 3, q, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 978 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -5*j, 3*s - 6*j + 8*j = 0. Are s and 7\/40 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 260, 362, 570, 938, 1520, 2370, 3542, 5090?\nAnswer: 7068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lalalajllljljlja. Give prob of sequence jj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 10 = -4*f + 14, 5*f = 25. Let v(x) = -x**2 + 7*x - 6. Let t be v(k). Suppose -s + 9 = -t. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -15*l**3 - l**2 + 10*l + 10. Let z be f(-1). Solve 0 = z*d - 18*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/2, 3, -2\/11, 80.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63903963 is divided by 31951981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19630 + 62141. List the prime factors of v.\nAnswer: 7, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106856.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9813548 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2 + 5910148*k + 4366231172738.\nAnswer: 2*(k + 1477537)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 - (2 - -4)\/3. Let d be (0\/(-2) - 0)\/x. Suppose 0 + d - 2 + 3*f**2 - f**2 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2890 = -32*h + 7434. What is the remainder when h is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -17*p - 1576. Calculate o(-94).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2. Let m(z) be the second derivative of -1\/6*z**4 - 3*z + 0*z**2 + 0 + 0*z**3. Calculate q(m(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -316*a - 139*a = 16*a + 16883 + 1486 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g = n - 3*g - 3398, -3395 = -n - 2*g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.35 in -0.4, 8, 8\/47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 - 4*f + 3. Let v be i(4). Suppose 5*u - v*c = 3, u - 3 = -0*u + 3*c. Suppose u = -5*h + 145 + 90. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.09043922 * -0.5.\nAnswer: -0.04521961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 + 2*i + 2*i**2 - 3*i. What are the prime factors of u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 3*s - 4*s)*((3 - 5 + 1)*(-3 + 0 + 2) + 2 + 6 - 4 - 2 + 4 - 1).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(128))**2*-4 + 5.\nAnswer: -511 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**2 - d + 8*d + 2*d + (8*d**2 + 5*d**2 - 6*d**2)*(5 - 4 - 2) to the form o*d**2 + x + i*d and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 6*k - 6. Let w = -18 + 36. Suppose 5*o + q - w = 0, -4 = -2*o - 2*q - 0. Solve h = -0*f + o*f - 3, k*h = f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l - 11*l + l)*(l + 0*l - 3 + 2).\nAnswer: -15*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 1. Let y = d + 5. Let v = y - 4.96. What is v rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 12*i**2 - 5*i + 12. Suppose -911*w + 875*w = -396. What is p(w)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 3, 1 = 2*v - j - 10. Suppose 4*n - 14 = -b + 3*b, n - 20 = -v*b. What is the remainder when 14 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -6*x. Let a(f) = 5*f**2 - 37916. Calculate z(a(b)).\nAnswer: -30*b**2 + 227496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/6)\/(75\/(-4725)*6\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1648?  (a) -228  (b) -2\/5  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the third derivative of 5*s**9\/252 + 7*s**5\/60 - 8*s**2. Find the third derivative of i(h) wrt h.\nAnswer: 1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of 7*p**4\/12 + 49*p + 3. Let x(z) = -z**3 - 2*z**2 - 2*z - 1. Let j be x(-2). Let d(n) = j*n - n + 0*n. What is m(d(v))?\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of y**5\/120 - 13*y**4\/24 - 9*y**3\/4 + 14*y**2 - 117. Let z(x) be the second derivative of d(x). Find k, given that z(k) = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -320063601 divided by -9698897\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 34456662241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 = -2*t - 8*t - 189 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1227048 and 2064?\nAnswer: 2454096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -23, -4411, 0 in increasing order.\nAnswer: -4411, -23, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-168)\/(-60)*14\/147)\/(8\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100835 = 9*k + 16*k + 10*k. Which is greater: k or 2882?\nAnswer: 2882","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -14*(4 - (-27)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -3*c**3\/2 - 9*c**2 + 32*c. What is u(-10)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 229\/63 + -34\/9. Suppose -6 = -2*w - 2. Let v = w + -1. What is the third smallest value in c, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 10*h**2 + 18. Let b(q) = -q**3 - 7*q**2 + 12. Calculate 7*b(c) - 5*t(c).\nAnswer: -2*c**3 + c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-37 - 25 + 10)*(0*q - 3*q + q)*(q**2 - 2*q**2 + 4*q**2) to the form s*q + d*q**2 + h + w*q**3 and give w.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 + 11*o**2 + 10*o - 110. Let u be j(-8). Let x(b) be the first derivative of 1 + 1\/2*b**2 - u*b. Give x(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 8*o + 11. Determine l(-9).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d - 1. Let b be a(-5). Factor 5 - 2*g**2 + 0 + g**b - 4.\nAnswer: (g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000539032314 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1819 - 1788. Solve 4*q + 56 = 5*b + 16, 4*b = 3*q + o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of 2*k**5\/5 - k**2\/2 + 2. What is the second derivative of n(g) wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 1\/3, -214?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 2*n**5 - 23*n**4 - 58*n**3 + 253*n**2 - 70*n - 104 = 0?\nAnswer: -4, -1\/2, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 4*f = -2*f + 33, -3 = 3*w - 3*f. Let n = 23.3 + -19.3. Let g = -2\/69 - -9\/46. Which is the second biggest value?  (a) n  (b) w  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 455?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 1. Let b(n) = -n**2 - 19*n - 5. Let f(l) = 2*l**2 + 20*l + 4. Let r(s) = h*f(s) - 3*b(s). What is the tens digit of r(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**2 + 6*o - 6. Let h(f) = f**2 + 5*f - 5. Let m(w) = 5*g(w) - 6*h(w). Let p(x) be the second derivative of -x**3\/2 + 64*x. Determine p(m(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-108)\/26*(-111111)\/17094?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-503)\/(-6) + 200\/1200\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1927 + -1150. Suppose 0 = -4*b + i - 61. Suppose -o + 32 = -4*v, v = -6*o + 2*o + b. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(399) + sqrt(399)*1*-4 - sqrt(399))\/(2*sqrt(343)))\/(4*-3*sqrt(3) - (sqrt(3) - sqrt(12))*4).\nAnswer: sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 312  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s - 3*s**2 + 9*s**2 - 3*s**2 + 3. Give c(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*2\/10*-4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 357?  (a) 2\/9  (b) -0.4  (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zle. Give prob of picking 1 l and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12716 and 1034.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 w when three letters picked without replacement from mmxmklmcmxmxxkwxcxm.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 15912890*p**2 - 9028834 wrt p?\nAnswer: 31825780*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3\/14 - -61\/154. What is the biggest value in c, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15793631 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1461 is divided by 613.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (0 - 1)*106\/(-4) and (-4 - -5) + 61\/(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-3*((sqrt(2400)*3)\/sqrt(8) + (sqrt(3) - (sqrt(18)\/sqrt(6) + -5)) + -4).\nAnswer: -360*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(285)*-3)\/sqrt(5))\/((sqrt(108)\/sqrt(6))\/sqrt(6)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 22380.65 + 125674?\nAnswer: 148054.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 256668866*y - 181709135 wrt y?\nAnswer: 256668866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -79 - -81. Suppose -5*d + 3361 + 1379 = 5*g, -1908 = -j*d + 2*g. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 9 = k, -4*d - 3*k + 4 - 15 = 0. Let y = 16 + -30. Let b be (y\/(-21))\/(d\/(-36)). Solve -l - 3*l + b = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 21*a - 5796 = 0. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 144  (b) -2  (c) 14  (d) -0.061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -408 + 438. Solve 10 - o = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -4, -1\/16, 521\/5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 516 + -4478?\nAnswer: -3a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 7) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2)*a*a**(-3\/5)*a**4\/(a**(-3)*a)*(a**(-7)\/(a\/(a*a**(-2\/13))))**(2\/3) assuming a is positive.\nAnswer: a**(-24\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 1:24 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*c**5*j + 42240213*c**4*j + 4*c**2*j + 793*c**2 + 853*c*j + j wrt c.\nAnswer: 360*c**2*j + 1013765112*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 59*p**2 - 19*p - 14. Let m(n) = -25*n**2 + 10*n + 7. Let y(t) = -7*m(t) - 3*q(t). Determine y(-9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17774718517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 222389 + -3?\nAnswer: 222386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f - 1. Let d be b(3). Let s(q) = 9*q - 3. Let n be s(d). Suppose 0*x + 5*m = 2*x + n, 4*x = 4*m - 12. Solve j = -x*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5279897 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 a factor of 95314969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 66588385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 2*z = -27, 716*l + 26 = 721*l + 3*z for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 93355 rounded to the nearest 1000?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3258131528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 5 = 2*g - 2*a, 5*g - 4*a = -13. Let p be 5*(3 + -4)*g. Solve -p*l - 21 = -2*m, -l + 6*m = m - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 1061197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4647 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 5*n = 0, -2*c = -2*n - n + 2. Suppose -3*a = -c*a. Solve a = -h - h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 - 5*w + 3. Let a be r(4). Let p = 46 + a. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/6 or 68.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - 19*c**2 - 33*c + 10. Does 8 divide l(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 274 and -81678.\nAnswer: -22379772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 2. Suppose 5*m - 13 = -p. Let b = -157 + 162. Solve 3*k + b*c + 22 = 4*k, 0 = 3*k + m*c + 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*j - 99. What is the remainder when 789 is divided by j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 743404 is divided by 427.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44932 is divided by 8985.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, u: 3, v: 4}. What is prob of sequence uovv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13218994?\nAnswer: 2, 107, 223, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3488251.91 rounded to the nearest one hundred?\nAnswer: 3488300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a. Let y(s) = 36 - 12*s - 36. What is y(j(t))?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*y**2 + 0*y**2 - 2*y**5 - y**5 - 11*y**5 wrt y?\nAnswer: -840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3201299*f*k**5 - 466*f*k - 20*f + 2*k wrt k.\nAnswer: 64025980*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7658?  (a) 4  (b) 0  (c) 0.4  (d) -17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -101\/167 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 157 + 3d8?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 0. Suppose -21 + 66 = p*z - u, z = -u + 19. What is the greatest common factor of 176 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18 + 23. Suppose j = 6 - g. Calculate the least common multiple of 4 and (-1)\/(0 + j\/(-11)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5923.4 + 5923. Which is the nearest to -3?  (a) -0.2  (b) w  (c) -1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4927 - 4918. Let x(v) = 111*v**3 - 9*v**2 + 9. Let q(u) = -28*u**3 + 2*u**2 - 2. Calculate c*q(w) + 2*x(w).\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 5:03 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 > 484017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.7059 and -869.\nAnswer: -2351.4271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16697041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -412906 at least as big as -413643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86, -78, -60, -26, 30, 114, 232, 390?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 0*m - 4*j = 4, 0 = 2*m - 5*j + 2. Let o = m + -14. Let l = -4 - o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08 times 2049?\nAnswer: 163.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 1533 = -4*i, i - 523 = -4*m - 126. Suppose 6*w + 217 + i = 0. Are -99 and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 14090, 56360, 126820, 225476, 352334, 507400, 690680, 902180?\n\"Answer: y**3 + 14089*y**2 - 4*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x - 3*q + 145, -5*x + 14*q = 849 - 977 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6911 - 409?\nAnswer: 6504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -v**7\/630 - v**6\/360 - v**5\/120 + v**4\/4 - v. Let z(d) be the third derivative of t(d). Calculate z(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675.2718 tonnes in nanograms?\nAnswer: 675271800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/7)\/(4\/7). Let a = 753\/14 + -107\/2. Sort u, a, -0.2 in descending order.\nAnswer: u, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 90803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1*k)**36*(k\/(k\/k**(1\/3)))**(1\/39))\/((((k*k\/k**(-1\/4))\/k*k)\/k**(-3\/2))\/(k**(3\/5)\/k**1)) assuming k is positive.\nAnswer: k**(158789\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1351, -1349, -1355, -1375, -1415, -1481?\n\"Answer: -c**3 + 2*c**2 + 3*c - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 0 + 96072*b**2 - 95994*b**2.\nAnswer: 78*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126\/4 + 18\/(-12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*c - 39*c**4 + 21\/2*c**5 + 3 + 51*c**3 - 24*c**2.\nAnswer: 3*(c - 1)**4*(7*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9596.013ug in milligrams?\nAnswer: 9.596013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 + 8*x**2 - 12*x - 13. Let m be o(5). Suppose -2*u + m = -3*y, -4*u = 4*y + 26 - 10. Which is the nearest to 2\/5?  (a) u  (b) 1.1  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 b, and 1 p when three letters picked without replacement from {r: 2, p: 1, b: 1, h: 4, f: 10}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 856 - 13\/((-104)\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61425 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 70 + (132 + -74 - 106)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -78 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -16855.3 times -4?\nAnswer: 67421.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of 409*t**5\/20 + 83*t**3\/2 + 2*t - 779. Find the second derivative of o(h) wrt h.\nAnswer: 2454*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 774381*k**2 - 473881*k?\nAnswer: 1548762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27227 or -27229?\nAnswer: -27229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -93*z**2 + 8*z + 21*z**2 - 39*z + 299*z - 61*z**2 wrt z.\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 7022645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0879432l in millilitres?\nAnswer: 87.9432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*b + 20 + 24 = -173*b + 155*b for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.10382901 rounded to four dps?\nAnswer: 0.1038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -57 + 52. Let l be -3 + 4 + f + 8. Factor 8*k**2 + 9*k**2 + 6*k**2 - l - 19*k**2.\nAnswer: 4*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 214 = -34. Calculate the remainder when -1 + 4 + t - -2 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 140 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 - 158 = -46*c. Solve 3*o + 0 = -c*n - 12, -5*n - 20 = 5*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-105)\/28 - 2\/4*(-90)\/36?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*v - 12402 = -1736*v - 72120 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 227 - 105. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1873813986 a multiple of 7194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvivi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 - h + h)*(-h**2 + 4*h**2 - h**2) - h**2 + 134*h**3 - 242*h**3 + 2*h**4 + 133*h**3.\nAnswer: -2*h**4 + 25*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-152)\/(-3496) - 2152*(4 + 2238\/(-552)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -127\/2 + 66. What is the biggest value in 0, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000069887215 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172 is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - a**2 - 3*a + (3*a - 4*a + 2*a)*(-a - 2 + 2) - 3*a - a**2 + 3*a)*(0*a - 2*a - 3*a).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26 and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/63)\/(-96*156\/(-8736)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) 1\/7  (b) 1\/4  (c) 4  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -141 divided by -210.\nAnswer: 47\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v. Let s be j(-2). Let y(n) = -21*n**2 + 20*n**2 + 3 + 5*n + s - 3. What are the prime factors of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -41740, -8 in increasing order.\nAnswer: -41740, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0409 less than 25?\nAnswer: 24.9591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 11835*z + 4272562. What is l(-361)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 57  (b) -2952  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 1760735.\nAnswer: 3521470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(((-12)\/9)\/(-4)). Suppose 3*x + 5*p + 3 = 0, -1 = x - 0*p - a*p. Put x, 4, 5 in increasing order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 16 = 11, -12 = -3*g - 3*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/3  (b) 5  (c) -2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6323 is divided by 631.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 53370 = 6630. Suppose -5*g - 1 = -h, -5*g - h = -6*h + 5. Suppose g*t = t - i. What is t rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(15*8\/(-24)) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -177 + 357 - 180 + s - 3*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 10:23 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -a + 4*t, -44*a + 41*a = -t - 12. Let k(o) = o**2 - 25*o + 111. What is k(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 503*q + 16089. What is c(-32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 4*sqrt(325) - (5 + sqrt(325) + 1)) + (3 + 1 + sqrt(325) - -1*(3*sqrt(325))**2).\nAnswer: 20*sqrt(13) + 2918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 142350 and 520.\nAnswer: 569400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 55, 60, 65, 70, 75, 80?\n\"Answer: 5*v + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11605 - 0.9?\nAnswer: -1.01605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k = -4*k - 20. Let b(q) = -q**3 + 8*q**2 - 14*q - 10. Let p be b(k). Let t(z) = -10*z**2 - 5*z. Let u(x) = 5*x**2 + 3*x. Determine p*u(n) - 3*t(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49*x**3 + 49*x**3 + 2*x**4 + 24*x)*(-x + 0*x + 4*x).\nAnswer: 6*x**5 + 72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53 + -47. Let a(m) = -2*m - 3. Let k be a(-4). Solve 19 = k*y - j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (52 + 3 - 4)*6. Let d = 462 - k. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 6*l = 1000. Suppose 80*h + 1420 = 85*h. Let q = l + h. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**3 - 3*o**2 - o - 3. Let f be -5*(-5)\/((-75)\/(-24)). Suppose q + 3*p + 2*p = f, -q = 3*p - 6. Calculate the remainder when v(q) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -167 + 236. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**2 - 4*j**3 - 2*j**2)*((2 - 2 - j)*(-1 + 0 - 2) - 2*j + 6*j - 3*j + (-4 + 1 + 5)*(-2*j + 0*j + j) - 4*j + 3*j + 4*j).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/sqrt(800).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of 135*n**4\/8 + 328*n**2. Let w(h) = h**2. Give w(f(d)).\nAnswer: 164025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, 5, -4, 1, -6, -5552, 17.\nAnswer: -5552, -6, -4, 1, 5, 17, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 55*u**3 + 72 - 34*u + 34*u - 71 as n*u + f*u**2 + b*u**3 + w and give b.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 5. Suppose -5*g - 22 = 3*j, 2*j = 5*g - 10*g - 18. Let b be 0\/(-1)*g\/4. Solve b = y + a*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.069344 to 4 dps.\nAnswer: 0.0693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of -n**4\/24 + n**2 + 43*n. Let a(d) = -17*d + 1. Give c(a(h)).\nAnswer: 17*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -8326, 197, -1, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-4 + 9 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 182846028 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 176\/(-24) - 4\/6. Let t(s) = -6*s + 2. List the prime factors of t(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3068758641 or -3068758640?\nAnswer: -3068758640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b**3*h*p**3 - 13*b**3*h*p**2*u + b**3*h - 2*b**2*h*p**2 + 4*b**2*h*u - 3*b*p**3*u - 2*b*u wrt b.\nAnswer: 6*h*p**3 - 78*h*p**2*u + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -a - 4*s, -3*a + 4*s - 22 = 3*s. Let b be a\/14 - 155\/(-35). Suppose 4*k - b*l = 840, -k - 3*l = k - 425. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 3*m**2 + 3*m - 2. Let h be d(3). Suppose -5*v - 345 = 40. Let b be (v\/(-3))\/(2\/6). What is the greatest common divisor of b and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 197895165 and 465.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -5*g. Let r(j) be the third derivative of -1\/6*j**3 + 21*j**2 - 1\/24*j**4 + 0 + 0*j. Determine r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 450 and 600.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3867505 by 773501.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 942*m**4*x**3 + m**4 + 3*x**3 + 164*x - 2 with respect to m.\nAnswer: 3768*m**3*x**3 + 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + a**2 + 194*a**2 - 88*a**2 + 246*a**2 + 9.\nAnswer: 353*a**2 - a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rmvwwm. What is prob of sequence rmmv?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2604165322 to the power of 1\/2, to the nearest integer?\nAnswer: 51031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43000 - 20058. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/5 + (-30)\/(-50). Let f be 1*(-6)\/(a - -2). Let t(v) = v**3 + 3*v**2 + 3*v + 3. Let z be t(f). Let u(c) = -c**2 - 7*c + 4. Calculate u(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*h + 41 = -49*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppe when three letters picked without replacement from {p: 11, e: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 976 = 15*a + 14*a + 251 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-10 - (-3 + -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 6\/8625289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -348540 - 1?\nAnswer: -348541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10017913981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/24 and -113\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3177*q + 3804*q + 3068*q)*(3 - 3 + 2*q).\nAnswer: 20098*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3995309 (base 10) to base 5\nAnswer: -2010322214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*a + 3*a + 10*a + (-1 + 0 - 1)*(a - 2*a + 2*a) to the form d*a + l and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 175505873 to the nearest integer?\nAnswer: 13248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**2. Let j(w) = 1803*w**2. Give f(j(t)).\nAnswer: 6501618*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 - -6.81177\nAnswer: 7.01177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-5*sqrt(130))\/((sqrt(150)\/sqrt(3))\/sqrt(5)).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 348\/25 + 1120\/14000 - (7 - -144)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4 = 15. Let t = 28 + n. Suppose 3*r = t*r. Which is the second biggest value?  (a) 2  (b) r  (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*1\/(-3) + 0. Let w(z) = -z**2 - 6*z + 2. Let a be w(-6). Let x be -3*2\/(0 - (a - 0)). What is the second biggest value in x, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of -v**8\/3360 - v**7\/840 - v**6\/720 + v**3\/6 - 3*v. Let x(p) be the second derivative of m(p). Solve x(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.1, -0.24 in descending order.\nAnswer: 4, 0.1, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 69 by 196.\nAnswer: 69\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 9*i**2 + 10*i + 3. Is b(10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 1. Let n(g) = 2*g**2 + 2 - 76*g**3 + 3*g + 40*g**3 - 52*g**3 - 30*g**3. Is n(h) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -300290*u - 212142 wrt u?\nAnswer: -300290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4 = 5*l, 282 = 2*n - 4*l. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 468 + 711 = -5*b - 4*f, 5*b - 2*f = -1203. Let i = b + 118. Let t = 171 + i. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 28*q - 152*q - 161*q - 258*q as h*q + u and give h.\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 4:23 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3080283 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-17\/4)\/s)\/s*s)\/(((s**(-16\/7)\/s)\/s)\/s*s)*((s\/(s*s\/(s*s**18\/s*s)*s))\/s)\/(s*s**(-1\/4)) assuming s is positive.\nAnswer: s**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - -1a9d6?\nAnswer: 1a9d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.3689*0.1\nAnswer: -0.03689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 212*k = 192*k + 140 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + 2 + sqrt(288) + 4)**2 - (sqrt(288) - (-1 + -1*sqrt(288))).\nAnswer: 264*sqrt(2) + 1187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211797 is divided by 7842?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-2))\/(655\/(-2358)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 558 = 63*v - 1371 - 65 - 274 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 3*c + 2*c + 49 = 0, -x + 3*c = 49. Let j = -41 - x. Suppose 0*d - 3*d = t + 6, 0 = -5*t - 4*d - j. Solve -n - 4 + t = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 360 - 76*y**2 - 110*y**2 + 186*y**2 + y**3.\nAnswer: y**3 + 360","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -5, 16, 5289, -1, -4.\nAnswer: -5, -4, -1, 6, 16, 5289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*k + 5*k - k)*(-k - 5*k - k)*(-3 - 4 + 2)*(0 - 2 + 3) to the form y*k + i*k**2 + l and give i.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2. Let o(x) be the third derivative of 32*x**2 + 0*x**4 + 1\/20*x**5 + 0*x + 0 - 3*x**3. Give o(t(d)).\nAnswer: 3*d**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + 36*g**2 - 80*g - 151. What is c(-38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -171, -169, -5 in increasing order.\nAnswer: -171, -169, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 3*u + 4*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 PM and 1:29 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/30*(-74)\/(-37).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 939 - -713. Let z(b) = u*b + 3289*b + 1359*b - 17 - 931*b. Let c be z(-7). Round c to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 2:40 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 345.3 times 5709\nAnswer: 1971317.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 15*i + 118. Determine t(-18).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1010220102 + 101211?\nAnswer: 1011022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8\/5 + -19\/15. Let x = 13403.4 - 13404. Which is the nearest to x?  (a) i  (b) -3  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -51828 by -51828.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*g + 101 - 446 = 162 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e, 1 v, and 1 r when four letters picked without replacement from eirvteittere?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 6*s + 6 = 0. Suppose 3*j = 2*x - 48, 5*x = s*j - 43 + 172. Calculate the greatest common factor of 18 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13990*k**4 - k**3 + 16746.\nAnswer: 55960*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -50090078*z + 2549402.\nAnswer: -50090078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 156 and 807?\nAnswer: 41964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 107\/6076 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -10*r - 14. Let m = 4 - 14. Let g be t(m). Suppose 3*l = l + g. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 PM and 2:07 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 185 and 172990651?\nAnswer: 864953255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 2\/15*v**5 + 0*v**4 + 2*v + 0 + 0*v**3 + 2*v**2. Let a(h) be the first derivative of o(h). Let p(z) = z. What is a(p(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 3 - 26 = -t, 32 = -4*z + 3*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2267619 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from {f: 1, b: 1, m: 1, x: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47538.\nAnswer: 2, 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -153 + 207*y**2 - 74 + 227 - 106*y**5 wrt y.\nAnswer: -6360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v**2 - 6*v + 4. Let m be y(4). Suppose 0 = -r + m + 2. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 - 12*r + 21. Give g(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3 = 5*y, -72*m = -3*y - 68*m - 19. Put -80, y, -2 in decreasing order.\nAnswer: y, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - -231?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 5*r. Let y(f) be the first derivative of 84*f**2 - 52. What is a(y(m))?\nAnswer: 840*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(105)\/sqrt(3))\/sqrt(5) - (sqrt(7) - (sqrt(7) - sqrt(14)\/(sqrt(2) + sqrt(2)*-2))) - (3 + (sqrt(7)*-2 + 0)**2)) + 3.\nAnswer: -28 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1813314\/133 + 13634. Let k = j - 1237\/665. Put k, -5, -1\/3, 2 in ascending order.\nAnswer: -5, k, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**3 - 33*h**2 + 69*h + 13. Let d be o(14). Sort 1, d, 9.\nAnswer: d, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56105, -112219, -168347, -224495, -280669, -336875, -393119?\nAnswer: -449407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**5 - 6*a**3 + 102*a. Let g(s) = -s**5 + s**3. Let q(v) = -6*g(v) - l(v). Find the second derivative of q(x) wrt x.\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41501 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - o - 20 = 0, 3*s - 5*o = -2 - 15. Let k(y) = 2*y + 38. Let t be k(-17). Let j = t - s. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/9 + 87\/27. Suppose 2*a + l*c - 680 = 0, -1009 = -3*a + c - 0*c. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40 + 15. Let g = w + 20. Which is the biggest value?  (a) g  (b) 2  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**3 + 27*c**2 + 14*c - 454. Is t(-23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-2) + 0 + -2. Let j(v) = -2*v + 13. Let a be j(6). Let d = a - x. Solve -2*r = f - 4, 4*f - 4*r = -9 + d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*x + 44 = -158*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 9 = -21. Let m be (g\/6)\/(10\/(-8)). Let t be (-19)\/15 + 10\/15. Which is the third smallest value?  (a) 0.05  (b) t  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13657 is divided by 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2345\/10*(9\/27 + 106\/42). What is the highest common factor of f and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 110 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k + 8*k - 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -659, -11, 47 in decreasing order.\nAnswer: 47, 2, -11, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 26\/(-6) + 38\/(-57). Let d be 25 + k*(-15)\/25. Let o = d - -12. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 4*a, 0 = 3*l - 4*a. Suppose -b = -l*b - 10. Let f = b - 6. Solve 9 = -h + f*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, -2, -154, 0.57429, 2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z**2 - 16*z. Determine o(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10\/(-6))\/(-3*5\/45). Solve 0 = p*c - 3*x + 27, -4 = 3*x - 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - (sqrt(114)\/sqrt(2))\/sqrt(3))*5 + 4 + ((3*sqrt(2299))**2 - (0 + -3*sqrt(19) + sqrt(19))))*6.\nAnswer: 12*sqrt(19) + 124170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(35\/(-119)*(90\/(-25))\/(-9))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4*o + 22 = -0*o, -4*o = 2*l - 16. Suppose 2*k + 4*j + 30 = -0*k, 2*k - 5 = 3*j. Let y = k + l. Solve -h + 2 = y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1560066056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 5:32 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 861 is divided by 285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -2) + (-132 - -118) + -11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14567681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 27*m - 484. What is c(17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -y**3\/9 + 287054*y**2\/9 - 574105*y\/9 + 95684\/3 = 0.\nAnswer: 1, 287052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -75, -115, -155, -195, -235?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/24 and 61\/580.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 89, 272, 815, 1898, 3701, 6404?\n\"Answer: 30*t**3 - 27*t + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 47 + -163 - -204 - (3 - 41)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*(w*w**(-10))\/w)*w*w**(-3\/13))**(-5\/2) assuming w is positive.\nAnswer: w**(-350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.199 times 901?\nAnswer: 179.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110221 - 1?\nAnswer: 110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iifmmf. What is prob of sequence mmif?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9883563 micrograms in kilograms?\nAnswer: 0.0000000009883563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00095717776 to five dps.\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 1\/2. Let j = 0 - 0.2. Let h = -0.3 - j. What is the biggest value in 3, n, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.41*0.5\nAnswer: 0.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 53 + -43. Suppose -4*n + 642 = 2*g, 2*g + 273 = 3*n - 219. Let c be (n\/15)\/(3\/x). Calculate the greatest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 140734876.\nAnswer: 2, 1297, 27127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/8, 0.01, -5, 2 in decreasing order.\nAnswer: 2, 3\/8, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 2, 5, 4 in increasing order.\nAnswer: -17, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 455 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 7*v - 26 = -3*v, 0 = -12*u + 10*u + 4*v + 20 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -168 at least -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1806639 and 4498.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 3, 4, -789, -1\/11 in descending order.\nAnswer: 8, 4, 3, -1\/11, -789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -10, -37, -62, -85, -106, -125?\n\"Answer: b**2 - 30*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xvxlrhxxlrrxrrrxlvx. What is prob of picking 1 x and 1 v?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 + 2. Does 23 divide ((-21)\/l)\/(6\/92)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9563 is divided by 308?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 103579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -6*f**3 - 16243*f**2 + 10*f. Let i(u) = 2*u**3 + 5413*u**2 - 3*u. What is 3*a(l) + 10*i(l)?\nAnswer: 2*l**3 + 5401*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*q + 170 = -2*q, -5*q = 5*k - 830. Let i = -1784\/11 + k. Suppose -5*m = -15, 0*o + m = -4*o + 7. Which is bigger: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 5 = -f, 61 = 3*g - 5*f. Let i be ((-9)\/(-6))\/(3\/6). Let d be 4\/7 + (-7052)\/(-301). Solve 2*s + q - g = -s, 5*s = -i*q + d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*h = 51*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/320 and 41\/1600.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k*y**6 - 8*k*y**3 + 22*k + y**6 + 5*y**2 wrt y.\nAnswer: -120*k*y**3 - 48*k + 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 + 15. Is (-771)\/p*(-3 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -630 = -50*s - 20*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-4) + (-21)\/(-36). Determine b, given that 1\/3*b**2 - r + 3\/2*b - 3\/2*b**3 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 6 = -18. Solve o + 1 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -34, -4, 71162 in descending order.\nAnswer: 71162, 9, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 60*i - 110909 - 40291. What are the prime factors of i?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3108.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 17, 20, 3, -5, -935, 4 in descending order.\nAnswer: 20, 17, 7, 4, 3, -5, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -352*i - 302. What is p(-2)?\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57250079.\nAnswer: 97, 590207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -102 - -105. Suppose -g*o + 69 - 54 = 0. Let u(v) = 3*v**2 - 4*v + 5. Does 5 divide u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 9 = -5*i, q - 17 = 2*i. Suppose -3*w + q*s - 3*s + 36 = 0, -2*w - s = -13. Calculate the smallest common multiple of w and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18439364 is divided by 1227.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + j**2 + 9. Let q = -1 - -1. Let b(y) = y**3 + 3*y**2 + 2*y + 2. Let s be b(-2). Let p be (2 - 2) + q\/s. Calculate l(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, z: 7}. What is prob of sequence uu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-3 + (sqrt(1872) - sqrt(1872)*-3) + sqrt(1872))**2 + sqrt(1872)).\nAnswer: -140427 + 1044*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29796*c = -23722*c - 346218 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -13*z - 13*z - z**2 + 30*z. Let l(n) = n**2 - 14*n + 3. Let r be l(14). What is y(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 126 divided by 21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence veva when four letters picked without replacement from {a: 2, v: 2, b: 1, e: 1, r: 2, g: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -139494.89 * 0.077.\nAnswer: -10741.10653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bpvbpbbpppmppxppppbb. What is prob of sequence bvxp?\nAnswer: 11\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 0 + 4 + 4 + 2*g + 0. Let s be w(-8). Is -8 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9 - (-8 - -11 - 0). Let o(x) = x**2 - 9*x + 1. What is o(k)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33 + 57. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 43 + 15*w - 14*w - 43. Let j(r) = -1026*r. Determine j(h(u)).\nAnswer: -1026*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (s + 2*s**2 - s)*(12*s - s + 3*s) + 2*s**2 - 2 - 2*s**3 + 2 in the form a + b*s**2 + y*s**3 + k*s and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - (-1*2 + 2). Let o = -43\/240 + 1\/80. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4 - (-65)\/(-15))*-51. Calculate the greatest common factor of b and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 255.7 + 40.3. Let x = c + -334. Sort x, 2, 2\/5, 1\/2 in descending order.\nAnswer: 2, 1\/2, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(228) + (sqrt(228) + sqrt(228) + sqrt(228)*-4)*2))\/((sqrt(108) + 4*sqrt(108) + sqrt(108))*3 - sqrt(108) - sqrt(108)).\nAnswer: sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/5*3\/2. Let a(g) be the second derivative of -3\/40*g**5 + 0 - 3*g - 7\/12*g**i - 1\/2*g**2 - 1\/3*g**4. Solve a(j) = 0 for j.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, k: 6, r: 5, g: 4}. Give prob of picking 2 k and 1 t.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 26, -39 in descending order.\nAnswer: 26, 0, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -65  (c) -5  (d) 5  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/10*4*10\/(-160).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z + 33 + 0*z - 33.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 342, -6, 0, 100 in descending order.\nAnswer: 342, 100, 0, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4134.232 rounded to the nearest ten?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 68 * -9681.\nAnswer: -658308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1c97a (base 14) to base 2\nAnswer: 10001111000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -4, -7556, 3 in descending order.\nAnswer: 3, -4, -8, -7556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -3 - (76 + -83)) + (-35 - -4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -455818 divided by -6\nAnswer: 227909\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 85 and 11.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -205085 + 744*s**2 + 205085 + s**2 + 5*s - 5*s + (2*s + s - 4*s)*(2*s - s - 3*s) as i*s + g + k*s**2 and give k.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - 6*j - 6. Let g be a(-4). Suppose 0*s + 14 = -g*p + 5*s, 0 = 4*s. Let x = 11 + p. Is 4 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3881 - 3881. Let p = 3.6 - 3. Let m = 1 - p. Which is the third smallest value?  (a) d  (b) 2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, a: 8, q: 11}. Give prob of picking 1 k and 1 q.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, -0.03, 617\/4, -2, 0.4.\nAnswer: -2, -1\/7, -0.03, 0.4, 617\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*c + 72 - 20 = c. Solve c*x + 3*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0756 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 65919 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(7\/2)\/g*g*g**(-2)*g*g)\/(g**(2\/13)\/(g*g**(-27\/5))))**35 assuming g is positive.\nAnswer: g**(-959\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-66)\/(-12) - 4)\/((-2)\/4). Is (196 - (-3)\/x) + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 5 + (sqrt(68)*-1 + sqrt(68) - sqrt(68) - sqrt(68))*6)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 37908 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 287216681*p**4 - 355890201*p**2 wrt p?\nAnswer: 6893200344*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6885 and 220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 98794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/((-24)\/(-30))*2\/(-1). Suppose o - w - 1 = 0, -4*w - 20 = w. Let g be 1\/((-9)\/15)*o. Calculate the highest common factor of g and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -7*s**2. Suppose 6*c = c + 12*c. Let v(f) = -3*f**3 + f**2 + 2*f - 1. Let q be v(c). Determine w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/5  (b) 7  (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 119\/((-1 - 0)*-1). Suppose -2*x + 108 = -q, -2*q - 207*x = -202*x + 261. Let g = j + q. What is the smallest common multiple of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**3 - 1 + b - 1297*b**2 - b**4 + 3*b**3 - 2*b - 4*b**4 + 1298*b**2 to m*b**2 + c + w*b**4 + r*b + v*b**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.163702 + -0.063702. Let y = 7.3 - -45.7. Which is greater: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4\/3)*k**5)\/(k*k*k**(-5)\/k*k**(-2)) assuming k is positive.\nAnswer: k**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/2)\/(0 + -1). Let y = 0.048 - 5.048. Let u = 289\/245 + 1\/49. What is the second biggest value in y, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -1791\/2*x + 3\/2*x**2 + 0 = 0.\nAnswer: 0, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - n + 1. Let y(t) = t**3 - 7*t**2 + 8*t - 9. Let b be (2 - (-10)\/(-4))*-12. Let s be y(b). What is the units digit of r(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - n + 3*n + 20 = 0, -g - 5*n = 8. Let o(x) = 13*x - 9. Let k(j) = -3*j + 2. Let c(w) = -9*k(w) - 2*o(w). What is the units digit of c(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9.68 - -0.51. Let k = r + -0.19. Let v = -10.1 + k. Which is the closest to v?  (a) 2\/9  (b) -0.4  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8919 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1145 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 212649 + 2?\nAnswer: 212650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**2 + 2*n - 2*n)*(-5*n - n - 4*n) + 4*n**3 - 5*n**3 + 7*n**3 + 2*n - n - 8*n + n**3.\nAnswer: -3*n**3 - 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -15\/98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 2  (c) -0.434  (d) -5  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -521 + 364. Let f = 273 + q. Suppose 0*i = -4*i + f. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40980101?\nAnswer: 40980101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, -0.3, 0.3, 0.2, 4.49, -33?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000015357 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000009296 to seven dps.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-3 - (-4 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 172 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64 - 73. Which is the nearest to i?  (a) -1  (b) -2  (c) 1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 3213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13001 + 74503 - 37164 = -2358*b - 102930 for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1198771513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(1\/3))**(-2\/17)*((j\/j**(-5))\/j)\/j**(-6))**40 assuming j is positive.\nAnswer: j**(22120\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2578 + 2580. Solve o*k + 5*t = -15, 0*k + 5*k + 4*t = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 3:44 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 8*q - 52. Suppose 0 = -4*z - 4*l + 8, -2*l = z - 3 + q. Let p be (z + 2 + -2)*1. Solve 3*y - 4 = 2*k, 0 = -k + p*y - 7*y + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -632753\/30044 - -27\/1073. Let m = 83\/4 + b. What is the closest to m in -5, 5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 1\/362454, -0.04, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, 1\/362454, 0, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11011, -22021, -33031, -44041, -55051?\nAnswer: -66061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3*k**2 - 74*k - 143. Give o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 6*g**2 + g - 7. Let a(s) = -5*s**2 - s + 6. Let z be 20\/25*(-10)\/(-4). Let q be 7 + 0\/(z + -4). Calculate q*a(w) + 6*n(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.382359 * -700.\nAnswer: -267.6513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 3*j = -3811698 + 3811737, -4*j + 32 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 118 - 20\/5 - 3. Suppose -y = -4*y + r. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - 1*sqrt(2))*5 + (sqrt(2) + -1*sqrt(2) + 0 - sqrt(2)) + -4.\nAnswer: -4 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1103032732.\nAnswer: 2, 43, 6412981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12221\/63 - -194. Let r(d) be the second derivative of 0 + 0*d**6 + 1\/15*d**5 - s*d**7 - 1\/9*d**3 + 0*d**4 - 2*d + 0*d**2. What is z in r(z) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 AM and 6:55 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*29\/(78213\/(-62))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 3*v**4 - v**3. Let j(o) = 526*o**4 - 10*o**3 + 6*o + 4. Let g(q) = -j(q) + 10*m(q). Find the second derivative of g(h) wrt h.\nAnswer: -5952*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 7*n + 12 + 32 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -6. Suppose 0 = -q - i*q - 20700000. Round q to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 5*k - 9*k + 505, -3*k + 4*l = -395. Suppose 21*c + 4*c = k. Solve -16 = -c*y + 9*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*o - 189*o = -4*r - 8, 12*r = -12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*c - 2*d - 8, c - 3*d + 6*d = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) -1  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/9 + -2)*-3. Suppose 2*s - 28 = -2*y - y, 2*y = x. Suppose -3*l - 3*k = -9, 3*k - s = 4*l - 2. Solve l*v = -3*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 13, 5, 8, -3\/10, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 7 = -4*z + 23, 2*z + 4*g - 20 = 0. Let c be -2 + (z - 0) + 0. Suppose -2*h + 10 = c, 5*h = 4*b - 99 - 144. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -35, 1 in ascending order.\nAnswer: -35, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0.001, 3, 512, 2\/9, -2\/7 in descending order.\nAnswer: 512, 3, 2\/9, 0.001, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2483 = 1266*z - 1457*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*a**3 - 3*a**3 - 3*a**3)*(126*a - 45*a - 28*a + 8280 - 55*a).\nAnswer: -2*a**4 + 8280*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 - 26. Solve 1 = 2*a - k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/(30\/21655) - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/18 - (-220)\/45. Which is smaller: 25\/6 or k?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-406)\/2 - -1)*(3 - 4). Let w = u - 196. What is the greatest common factor of 150 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of -v**6\/220 + 2*v**5\/55 - v**4\/11 - 17*v**2. Find t such that n(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (79196\/(-41121))\/(-2*3\/(-2)*4\/(-18))?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 5*j - 2. Let c(o) = 10*o - 5. Let k = -112 - -137. Let u be (k\/10)\/((-1)\/(-2)). Calculate u*t(l) - 2*c(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/73050 and 29\/97400?\nAnswer: 292200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 6:13 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 386849, 386855, 386873, 386909, 386969?\n\"Answer: t**3 - t + 386849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000017093 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -12.7 and 93708304.\nAnswer: 93708291.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2967?\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 + 1. Put -4, 5, u in ascending order.\nAnswer: u, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6 - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*k + 4*k - 6*k - 4*k in the form b*k + c and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 48635981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 16\/(-8)*6\/(-4). Suppose 5*n - 128 = -2*v, 2*v = 7*v + l*n - 358. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 4 + 5)*(-4 + 0 - 1) - 4 + 2 + 3)*(85*d - 85*d - 25*d**5).\nAnswer: -275*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -121092219 and 5.\nAnswer: -605461095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k and 1 t when four letters picked without replacement from {k: 1, b: 1, t: 1, r: 4, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 2753974828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 350774483 to the nearest integer?\nAnswer: 18729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119*a + 105*a = -14. Solve -a = 7*h + 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 - 5*z + 13. Let u be 1*(-3 - (2 + -6))*-7. Let q be k(u). Let t(i) = -895*i. Is t(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/(-75)*(-352335)\/(-2547)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -11257, -53110, -156153, -350980, -668185, -1138362, -1792105, -2660008?\n\"Answer: -5099*t**3 - t**2 - 6157*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of -a**4\/4 + a**3\/3 + a**2\/2 + a - 21. Give h(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -9. What is the second derivative of -3*r**5 + s*r**5 + 3*r + 0*r**5 - 3*r**5 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3592253, -3592257, -3592263, -3592271, -3592281, -3592293?\nAnswer: -3592307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Let u(v) be the second derivative of 2\/21*v**7 + 0*v**3 + 0*v**5 + 0*v**6 - 8*v + 2\/3*v**4 + 0 + 0*v**2. Find the third derivative of u(q) wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2921 + 2921 - 57748*j.\nAnswer: -57748*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(15) - (sqrt(15) + sqrt(45)\/sqrt(3))))\/sqrt(3).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y + 2*y + 3*y - y + 1 - 1 + (4*y + 0*y - 2*y)*(3 - 3 + 1) - 4*y - 5*y + 5*y + 2*y - 27*y + 77*y + 54*y.\nAnswer: 107*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 68377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2)*(0*p - 2*p + 4*p) + 0 + 13*p + 0 - 1 - 2*p + 2*p + p.\nAnswer: 16*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/1 - (9 + (-110)\/15). Let g = -0.12 + -1.88. What is the smallest value in g, u, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 53  (b) -5  (c) -1  (d) -4  (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.6 in 4, 3\/17, -1.1, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3570720379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*h**3 - 200*h**2 + 197*h\/7 - 1.\nAnswer: (h - 7)*(14*h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12204, -95933, -323202, -765783, -1495448, -2583969?\nAnswer: -4103118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-231)\/(-24) - (-6 - 45\/(-8)). Calculate the smallest common multiple of 1 and ((-5)\/m*712)\/(-2).\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 248193 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*b - 7 + 71, -184 = -3*r - 2*b. What is the highest common factor of r and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18636 divided by 7?\nAnswer: 18636\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*c + 2*c + 3*c)*(-3 + 2 + 5) + c - 2*c + 2*c in the form f*c + o and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.39403, 2\/33, -3 in increasing order.\nAnswer: -3, -1.39403, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1297, 2591, 3885, 5179, 6473?\nAnswer: 7767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1037*f + 14729 = -2170*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1029, 8082, 27229, 64518, 125997?\n\"Answer: 1008*x**3 - x**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-72)\/(-32)*(-992)\/12. Let x = -147 - d. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 753 - 730. Calculate the greatest common divisor of b and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of 5*l**4\/4 + 41*l**3 - 63*l**2 - 2*l. Is v(0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 231 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -80b7 (base 13) to base 4\nAnswer: -10110332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - f - 1. Let v(z) = -37*z**2 - 21*z - 151. Let c(j) = 4*q(j) - v(j). What is the hundreds digit of c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -895*g - 15185. Give t(-17).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*f**3 + 166*f**3 - 67*f**2 - 925*f**2.\nAnswer: -3*f**3 - 992*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y - 2*y - y)*(-2 + 2 + 2*y**2) + (-2*y + 27 - 12*y + 17*y)*(14*y**2 - 7*y**2 + 6*y**2) to the form i*y**2 + u*y + v + x*y**3 and give i.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o - 7. Let c = 17 + 1. Suppose 0 = t - 4*k + 3, -c = -t - t + 2*k. Calculate the remainder when t is divided by r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*(n\/(n*n**7*n*n))\/n*n)\/((n\/(n\/(n*n**7)))\/n))\/(n**(-2))**41 assuming n is positive.\nAnswer: n**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + (-1 - -303)\/2. Let h be ((-5)\/2 - -2)*158. Let n = y + h. Calculate the remainder when n is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(700)*-1*2 + -3 - (sqrt(1400)*6)\/(sqrt(72)*-3))**2.\nAnswer: 200*sqrt(7)\/3 + 17536\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-10 + 3 + (-3 - -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-34)\/(-4))\/1*2. Find the first derivative of k*f**2 + 7*f**2 - 9 - 34 wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 176400 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 9931 (base 10) to base 3\nAnswer: 111121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -4*u**3 + 5*u + 4. Let o(h) = 5*h**3 + h**2 - 6*h - 4. Let p(l) = -3*o(l) - 4*v(l). Suppose 5*w + 0*k = 3*k + 29, -5*w + k = -23. Determine p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*v**3 - 12*v**2 + 12*v**2 + (2*v**2 + 5*v**2 - 5*v**2)*(-3*v + 6*v - v).\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 70*s + 157707 = 0. What is the highest common divisor of 99 and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = 5*n - 8*n. Let u = 91 - 164. Let q = n - u. What is the remainder when q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 13*f + 82 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of f**2\/2 - 2*f + 4. Calculate the smallest common multiple of k(4) and (72\/(-20) + 4)*20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 11 = -2*h - 4*t, -2*h + 2*t - 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1036606, -2073734, -3110862, -4147990, -5185118, -6222246?\nAnswer: -7259374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30 - 29.6. Let n = -14.47 + 14.4. Which is the closest to 1?  (a) n  (b) 1\/2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 13770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 15 = -3*l, 0 = -3*l - 4*c + 18 - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/(-90))\/(((-1)\/(-1))\/2). Let o(q) be the third derivative of -4*q**2 + 0*q + 0 + t*q**3 - 1\/600*q**6 + 0*q**5 + 1\/40*q**4. Factor o(l).\nAnswer: -(l - 2)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 2 = -5*o. Let g(b) = -b**2 + 398*b + 800. Let n be g(-2). Sort o, -24, n in increasing order.\nAnswer: -24, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a factor of 926317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -45, 3, 5 in increasing order.\nAnswer: -45, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 404 and 4444.\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 4:01 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 5*j + 70 = 0, -4*c + 2*j + 45 = -39. Find the third derivative of 9*w**6 + 21*w**2 - c*w**6 + 41*w**2 - 15*w**6 wrt w.\nAnswer: -3120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o = 107 + -83. What is the second derivative of 2*f**3 - o*f - 7*f**3 + 63*f + 6*f**3 + 21*f**5 wrt f?\nAnswer: 420*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 367.75 + -136.75. Is g greater than or equal to -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -9*h**2 - 4*h - 4. Let m(k) = 5*k**2 + 2*k + 2. Let x(q) = 5*m(q) + 3*u(q). Suppose 15*v - 33*v = 54. Give x(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -239\/635 + -3\/127. Which is the closest to h?  (a) 4  (b) -0.3  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - 575\/10)*8\/4. Calculate the remainder when 35 is divided by (88\/(-6))\/(74\/b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 539.6 - 646. Let w = o + 108. Let d = -0.9 + 0.4. Put -2, w, d, 1\/4 in decreasing order.\nAnswer: w, 1\/4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5337.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 PM and 5:49 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 2*h + 8 = 0, -h + 6 = k + 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 51*m**2 - 137*m + 359. Calculate the remainder when b(-56) is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 4*y**2 + 6*y + 6. Let d be s(-4). Let k = d + 35. Let h(n) = k*n - 8*n - 6*n + 16*n. Let q(i) = 2*i. What is h(q(z))?\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 1699 = -5*c - 1931, -4*c - 2*p - 2926 = 0. Let z = c - -1316. Let o = 1000 - z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9929 + 8939 = 211*k + 18211 for k.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 6:22 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15112691 is divided by 5869.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + -46. Let v = 39 + a. Calculate the greatest common factor of v and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -5*s. Let d(u) = 4*u. Let m(h) = -6*d(h) - 5*n(h). Let g(l) = -22*l**2 + 12. Let r(z) = -29*z**2 + 10. Let f(a) = -5*g(a) + 6*r(a). Give f(m(y)).\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t + 245 - 7*t + 244 - 484 to the form a*t + j and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -12350  (b) 0.1  (c) -775  (d) 1\/4  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-18)*7\/21*33.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14503804 is divided by 4834601.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 4 = -34. Suppose -551 = f*c + 223. Round c to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 889211657 to the power of 1\/2, to the nearest integer?\nAnswer: 29820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8063.415ns in hours?\nAnswer: 0.0000000022398375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 + 18*o + 42. Let g be x(-2). What is the highest common divisor of 13670 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrmxxemmrm. Give prob of picking 2 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 5*h**3 + 1. Let j be m(1). Suppose -b - 80 = -j*b. Suppose f = 2*y + 3*y - 324, 2*y - 148 = 5*f. What is the greatest common divisor of b and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34 and 5882.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - (-12)\/((-12)\/4). Let z be (-718)\/x - 2\/(-6). Let o = 238 - z. What is the remainder when o is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19995 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 412863745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -555091 = 372*n - 581875 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 179*x - 2022 = 484. Suppose 0 = -q - 3*h + 121, 0 = 4*q - h - 147 - 389. What is the greatest common divisor of x and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (70\/(-6))\/(-5)*(-4)\/(-14). Solve y*z + 4\/3*z**2 - 4\/3 - 2\/3*z**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = 5*g + 6, -4*g - 7 = -4*s + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5526448200 - 5526448200 - 5*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 5}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 11:42 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*j + j - 718*j**2 + 0*j - 10*j + 2*j - 1323*j**3 wrt j.\nAnswer: -7938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 5*n = 46, -4*n - 16 = -7083*c + 7081*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 74\/469 - 1\/67. Let n = -0.76 - -0.6. Let k = n - -0.06. What is the nearest to k in g, 3\/4, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 433 is divided by 318.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -84, -667, -2246, -5319, -10384, -17939, -28482?\n\"Answer: -83*f**3 - 2*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 101953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5  (b) 1827  (c) -9  (d) 0.1  (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24546 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -436*h**2 + 480 + 3250 + 127*h**2 - 262*h**2 wrt h.\nAnswer: -1142*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 430045*i**3 - 2*i + 3545192?\nAnswer: 1290135*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1020 (base 9) in base 13?\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -8 - -11570*(5\/(-2) + 3). Calculate the highest common divisor of 106 and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 - 2388257?\nAnswer: -2388274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -5. Let i(o) = 2*o**2 + o - 2. What is the units digit of i(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*6\/18 - 3. Let s be 38\/(q\/(-2)) - (13 - 8). Suppose 3*m - m - 4 = 0. Solve -4*l + m = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 675 = 3*w, -p - 2*w + 210 = 2*w. Calculate the lowest common multiple of 1 and p.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.7 - 1. Suppose -8*r = 1810 - 186. Let x = -198 - r. Which is the nearest to -2\/3?  (a) x  (b) s  (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-2 - -6) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 15264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/15108 and -93\/52?\nAnswer: 196404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1233 (base 8) to base 14\nAnswer: -359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -2*d**2\/7 + 509680*d\/7 - 32471712800\/7 = 0.\nAnswer: 127420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - 54\/15 - 23\/(-5). Suppose z - 39 = -o*m + 60, z + 1 = 0. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of 3*m**4\/4 + 4*m**3\/3 - 30*m**2. Find the first derivative of i(r) wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-14)*(-10290)\/(-4410))\/((-26)\/(-4))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-194)\/(-198) - 1) + 177\/(-1947)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, a: 1, n: 2, s: 5, o: 2}. Give prob of sequence eo.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 4*p**2 - 6*p - 3. Let d be t(-5). Find the third derivative of -6*w**3 - 2*w**2 + 11*w**3 + 7*w**d wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-3\/2)\/(r*r*r*r*r*r*r**(4\/9)\/r*r*r) assuming r is positive.\nAnswer: r**(-161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1107567 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009099609572 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(2\/17)*w**(-10)*((w**(-1\/2)*w*w)\/w)**(-32\/5) assuming w is positive.\nAnswer: w**(-1112\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/95 bigger than 100656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13371416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/9))**(9\/11)*i**(-8)\/i*i**8 assuming i is positive.\nAnswer: i**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c - 6*c = -36*c - 17*c + 164. Factor 2\/3*j + 8\/3*j**2 + 2\/3*j**3 - c.\nAnswer: 2*(j - 1)*(j + 2)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(1 - -1)*-3. Does 16 divide ((1 - -1) + h)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = -0*v - v - 4, 4*k = -43*v + 39*v + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 AM and 2:03 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**6)\/(s*s*s\/s**(-4)))\/(s**(2\/3)\/s*s*s\/s**(1\/9)*s) assuming s is positive.\nAnswer: s**(-23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 8*r**2 + r + 11. Let c be s(8). Suppose u + 5*p = 39, u - 5*p - c = 10. Is 6 a factor of u*(-2)\/(4\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 586*o + 79*o = -4115*o - 368060 for o.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11412244 + 460?\nAnswer: 11413034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 14272053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2 + 2)*(-6 + 3 + 2)*(552*w**3 - 53*w**4 - 552*w**3) as q*w**4 + h + j*w**2 + z*w**3 + n*w and give q.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -1.49?\nAnswer: -3.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*m - 82*m = 5. Let r(g) be the first derivative of -10*g - 2 + 0*g**3 + 6\/5*g**m + 0*g**4 + 0*g**2. What is the derivative of r(u) wrt u?\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.2 - -0.2. What is the biggest value in 2, 0, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -8, 1\/4, -0.4, -0.12119?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*m - 18*m + 510. Suppose 123 + m = n. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -9900*b**2 - 9904*b**2 + 442*b**3 + 19805*b**2 + (1 - 1 + 3)*(-4*b**3 - 2*b**3 + b**3) in the form m + x*b**3 + k*b**2 + l*b and give x.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 4 = 3*c. Let u be (7\/(-2) + c)*-2. Suppose -5*a = 3*w - 104, 5*w = -a + 17 - u. What is the least common multiple of a and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 199 = -2*j + 3*h, 413 = -4*j - 0*j + h. Suppose -5 = n, 2*n = 5*s + 7*n + 995. Let u = s - j. What is u rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 149 - 41. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46 - -48. Suppose 2*q + 0*g - 234 = 2*g, q - 114 = d*g. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0\/(-1) + -3)*-1. Suppose c*z + 5 = -7, 4*l - z = 8. Let v be l - ((-1)\/5 + 12\/10). Solve 0 = 5*r - v*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 2*u + 4, -u - 13 + 2 = 5*r. Let v = -8 - -3. Let q be ((-5)\/30)\/((-1)\/4). Sort r, v, q in increasing order.\nAnswer: v, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + x - 3 - 5*x)*(-2*x + x + 138 - 246).\nAnswer: 4*x**2 + 431*x - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -24. Factor -4 - 2*z**3 - 4*z**2 - 2*z**2 - 2*z**2 - g*z.\nAnswer: -2*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 5*r = 4*c + 20, 0 = 3*c - 4*r - 7. Suppose -c*l + 4 = -11. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22900 divided by 25\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -5*r**3 - r**2 - 4*r - 14. Let b(t) = 2*t**3 + t**2 + 2*t + 8. Determine 7*b(q) + 4*i(q).\nAnswer: -6*q**3 + 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -95281 + 151581. Let z = 153700 + x. What is z rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6, 13, 58, 141, 274, 469, 738?\n\"Answer: 2*k**3 + k**2 + 2*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -7*k + 250. Suppose -r = -2*g + 12, -3*g + 18 = 3*r - 5*r. Suppose -g*a + k = -a. Calculate the highest common divisor of 40 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 120*26229\nAnswer: 3147480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/17 + 280\/(-6426).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3 = o, -4*o - 1 = -m - 2. Suppose 3*c = c - 3*u - 6, 4*c + 4*u = -12. Let t be ((-1)\/1)\/(c\/(-6)). Put -18, m, 1, t in increasing order.\nAnswer: -18, t, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27454445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 5)*(-j + 7*j - 4*j) + 9 + 5*j - 9 - 4*j + 2*j + 3*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2. Suppose 0 = p + 2*f + 8, -3*f + f = -p + 8. Let w(i) be the first derivative of 2 + p*i - 1\/2*i**2. Give d(w(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -24. Suppose 2*p - 112 = -5*c, 0 = -0*c + c + 4*p - 8. Let d = c + u. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 25*i**3 + 2*i**2 + 8*i - 17. What is the remainder when u(4) is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) 1  (c) -1003329  (d) 2  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.7463 - 147.7937. What is g rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/31 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 321*c**3 - c + 292*c**3 + c - 608*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) + 2*sqrt(85) + sqrt(85))*5 - sqrt(85)) + sqrt(85) + sqrt(85) + 1*sqrt(85)*1)\/(((sqrt(15)*2 + sqrt(15))*-1)\/sqrt(3)).\nAnswer: 17*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12209196.\nAnswer: 2, 3, 17, 97, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2\/13 + 4497138*i\/13 + 691868.\nAnswer: -2*(i - 2248571)*(i + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 261888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52519312?\nAnswer: 2, 3282457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -847, -15, 4, -1, 1 in increasing order.\nAnswer: -847, -15, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m = 23*m - 3057. Suppose 2*z - 258 - m = -5*x, 2*x - 530 = 4*z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 997855.8ml to litres.\nAnswer: 997.8558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 + 45*o**2 + 11*o - 195. Let h be i(45). Let v = h + -297. Solve -v*k + 2 = -10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**3 - 2*z - 2*z**2 + 3 + 4*z**2 - 2 + 5 as c*z + g*z**2 + n*z**3 + o and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2*2*sqrt(475) - (sqrt(475)*2 + 4)) - (4 + (sqrt(1900) - (1 + sqrt(1900) + -2*sqrt(1900))) + 4)**2.\nAnswer: -7641 - 220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15689, 32911, 51673, 71975, 93817?\nAnswer: 117199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/5 - 6\/(-10))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 69082823 or 69082813?\nAnswer: 69082813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - f + 22 = 0, -17 = -14*z + 12*z - 3*f. Let d(r) = r**2 - 2*r - 33. Let w be d(z). Solve -2 = -0*l - w*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*f + 3*n - 3, 12*f - 401*n - 30 = 10*f - 199*n - 199*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**3 + 0*n**3 + n**5 + (15*n**2 - 4568*n + 4568*n)*(6*n**3 - 2*n**3 - 2*n**3) + 2*n**5 - 14 + 14 - n**3.\nAnswer: 33*n**5 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 7*b**2 - 51*b - 114. Let t(g) = 12*g**2 - 101*g - 224. Let m(o) = 6*t(o) - 11*z(o). Let m(i) = 0. Calculate i.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - (-4)\/(8\/(-26)). What is the units digit of (32\/20)\/((-2)\/x) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 228*q**2 - 2*q. Let j be t(-1). Suppose g = 3*g - j. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/15, 13, -18\/13?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 23.09851 micrometers?\nAnswer: 0.002309851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -102.3 - -102. Let n = 1540.78 - 1569. Let f = -28 - n. What is the second biggest value in f, 0.4, -0.5, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06073 rounded to 3 dps?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -874 - 182 = -11*c. Let y = 95 - c. What is the nearest to y in -11, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 3 - (144 - 114)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 60*g**2 - 92\/3*g**3 + 22\/3*g**4 + 18 - 2\/3*g**5 - 54*g = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**4\/2 + 169*w**3\/2 + 4733*w**2 + 17548*w = 0. What is w?\nAnswer: -41, -4, 0, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -4*d**2 - 3*d - 1. Let f be b(5). Let u = f - -460. Suppose u = 3*s + 113. Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -4*g**2 - 17. Let f(k) = k**2 + 6. Calculate -17*f(w) - 6*u(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 771140263 from 35.\nAnswer: -771140228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 6. Let h(k) = 1. Let f(v) = -3*h(v) - n(v). Find the first derivative of f(i) wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - m - 2*m)*(-1 - 3 + 3) + 3 - 292*m - 6 + 341*m.\nAnswer: 51*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 591, 610, 641, 678, 715, 746, 765, 766?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 3074.1607 to the nearest ten.\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1415 is divided by 704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 50901 divided by 270\nAnswer: 16967\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of -m**5\/20 + 7*m**4\/12 + 2*m**3 - 6*m**2 + m. Calculate the lowest common multiple of n(8) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence swkk when four letters picked without replacement from {s: 1, z: 1, w: 4, k: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 11*t**2 + 27*t + 10. Let h be r(7). Suppose h*n = 7*n - 2*d - 140, 3*n + 3*d = 105. Solve -n*j = -29*j - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -614 - -341. Let u = 134 - p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 469621 is divided by 1909.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*i**3 + 18*i + 3*i**2 - 18*i + 2*i**2.\nAnswer: 101*i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 119091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37539 + 75377 - 8*c**2 + 22*c**2 - 37838.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5*s + 44. What are the prime factors of l(8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 26 - 805?\nAnswer: -7ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 210 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 AM and 2:02 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 4) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2553 - 746?\nAnswer: -3299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3035.99 - 3177.2. Let d = l + 140. Round d to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78)*3)\/sqrt(6) + (1*sqrt(1573))**2.\nAnswer: 3*sqrt(13) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + 8*w**2 + w + 11. Let q be g(-8). Suppose 0 = q*f + f. Suppose 0 + f*a + 2\/3*a**2 + 0*a**3 - 2\/3*a**4 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of -11*j**6\/75 + 5139*j**5\/50 - 467*j**4\/15 - 3*j + 1681. What is f in y(f) = 0?\nAnswer: 0, 2\/11, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.7 - 1.3. Let r = -14421434\/231 + 62430. Let t = r + -4\/33. Sort 0, t, z in decreasing order.\nAnswer: 0, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 588411650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101110 - 100100010?\nAnswer: -1000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = -2*m + 12, -m + 7*o - 2*o = 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14525967521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + 14*w - 26*w + 0*w + 7*w + 2*w. Suppose 0 = 8*n - 3*n - 15. Give l(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -h**3\/3 - 5*h**2\/2 - 3*h - 11. Give q(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 2*a + 36, 0 = o + 3*o + 5*a - 42. Let f be 7*1 + -16 + 17. Calculate the highest common divisor of f and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -859 = -5*m - 989. Let i(q) = -q**2 - 24*q + 52. Let k be i(m). Solve k = -5*b + 2*d - 6*d - 21, 0 = -4*b + d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 0*w - 3*w - 2*w + 7*w. Determine c(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, u: 3, c: 1, n: 1, j: 4}. Give prob of picking 1 c and 1 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 342223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sjqyz. Give prob of picking 1 q, 1 z, and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*a + 1575 = 63*a. What is a rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -5*m - 35, 2*u - m - 9 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 231703078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 7:38 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(154)*3 - sqrt(154))\/sqrt(7) - (-2*sqrt(66))\/sqrt(3))\/(5*sqrt(8)\/sqrt(4) - -2*sqrt(288)).\nAnswer: 4*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11524092887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -991a1b - 4?\nAnswer: -991a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*((-48)\/3168*-33)\/(14\/4)*12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yllzlzzyyly. Give prob of picking 2 y and 2 z.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 119 = 26. Suppose 0 = u + 4*u - 20, -4*u + q = -i. Let d = i + 26. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-3\/4)*t*(t*t*t\/(t**(1\/8)\/t*t)*t*t)\/t*t**(-1\/8)\/t**(1\/7))\/((((t*t**0\/t)\/t)\/t**(-2))\/(t**1)**(-35)) assuming t is positive.\nAnswer: t**(-218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-2)*12\/(-9). Let s = -43.7 + 44. Which is the nearest to -0.2?  (a) s  (b) -4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21\/5 - -18\/5. Let p = -0.63 - -0.03. Let u = 0.4 + p. What is the biggest value in u, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.3 + -0.4. Let s = 0.31 + 0.69. What is the closest to s in 0, c, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 93862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 121*a - 844. Let w be t(7). Let d(z) be the first derivative of 2\/5*z**5 + 13 - 4*z**4 + 40*z**2 + 4*z**w + 50*z. Factor d(y).\nAnswer: 2*(y - 5)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 177581 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + 16)*(-7 + 14). Let g be (-105)\/(-280) + -2*(-5742)\/96. Is k != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 255 = -6*x + x, x + 4*h = -46. Let m = 80 + x. Suppose -460 = -2*t - m. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 AM and 9:14 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6600, 29474, 67598, 120972, 189596, 273470, 372594?\nAnswer: 486968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4004 divided by -2002\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2*z + 8 = z, h = -z + 8. Let d(y) = -y**2 + 3*y + 4. Let j be d(h). Let w be (-5)\/(-8)*4\/10. Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 PM and 3:19 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102222 - 1033?\nAnswer: 101123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8165b905 - 1?\nAnswer: 8165b904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, h: 5, j: 4, k: 2}. What is prob of picking 2 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 5*n**2 + 7*n - 2. Let q be t(6). Suppose z + 2 = q. Differentiate 3 - z - l**3 - 2 wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -370 = -15*l + 10*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = -3*r - 14, -4*r + 25154 = -4*b + 25178 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2081\/9 - -231. Let q = 5.2 - 1.2. Put q, s, 5 in descending order.\nAnswer: 5, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 7:41 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -68054*t + 954*t**3 - 917 + 68056*t + 126 wrt t.\nAnswer: 2862*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 200*l + 85. Let j(x) = -15*x - 4. What is 10*j(g) + s(g)?\nAnswer: 50*g + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q + 1. Let d(m) = 1. Let p(a) = -1. Let u(y) = d(y) + 2*p(y). Give -o(l) - 3*u(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 121124 - 121129. Suppose -3*l + 17 = -10. Which is the second smallest value?  (a) 2\/7  (b) i  (c) l  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2550)\/20)\/(-17)*(-2)\/(-40)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(315) - (sqrt(315) + sqrt(315) + sqrt(315) + (sqrt(315) + -6*sqrt(315))*6 + sqrt(315) + sqrt(315)))\/sqrt(7))**2 + 3 + (sqrt(45)*4*1)**2.\nAnswer: 31147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + r = 164. Let t = r + 82. Let d = t - 27. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7b (base 16) to base 9\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1610)\/200)\/(69\/(-24))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -4*d + 2544. Let s = d - 312. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/(-3))\/((-1)\/(-9)). Suppose 2*t - 5*t = -q - k, -3*t = -12. Let n be 3\/7*35\/(-20). Which is the third biggest value?  (a) q  (b) n  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37624504?\nAnswer: 2, 23, 204481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -5.4  (b) 0  (c) 0.2  (d) -4  (e) -14.36  (f) -0.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 567, 4527, 15269, 36183, 70659, 122087, 193857, 289359?\n\"Answer: 565*n**3 + n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 + 16*w - 43. Let h be r(4). Sort 3\/2, h, 0.1, 0 in decreasing order.\nAnswer: h, 3\/2, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-32 + 30)\/((-4)\/14) - (-144)\/(-20)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -542 - -9216\/17. Let y = 129\/4 - 32. What is the closest to y in u, 5\/3, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 9 = 6. Suppose -3*x = -5*m + i, -4*x - m + 25 = 6. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16014 is divided by 7997?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 17.751 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -8  (b) 1  (c) 0.2  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 10*x**2 + 220*x + 1120. Calculate a(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - l + 3*l - 78 = 0, -29 = -2*d - 3*l. Suppose -q + 123 = 36. What is the remainder when q is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/(-7))\/(-1))\/((-3)\/(-9))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 209894255 and 0.978401.\nAnswer: 209894255.978401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of -2*u**7\/315 + 2*u**5\/45 - 2*u**3\/9 - 5*u**2 - 6*u. Let f(p) be the first derivative of q(p). Factor f(m).\nAnswer: -4*(m - 1)**2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 7*p - 226. Give c(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3908*o - 3904*o + 2*a = -6, 5*a + 27 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -c**8\/672 - c**7\/420 + c**6\/48 + c**5\/120 - c**4\/6 + c**3\/3 + 40*c**2. Let b(d) = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 532 and 26154241.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c = 3*c. Let j = 14 + -9. Let m = c + j. Solve -2*w - 8 = -2*a, -5*w - 3 = -a + m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(2\/5)\/k*(k**(-3)\/k*k)\/k*k)\/(k*k**(-7)*(k\/k**(3\/2))\/k))**13 assuming k is positive.\nAnswer: k**(507\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -84 - -97. Suppose p*n - 9944 = 26703. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 129 = -157 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6249791 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 2:28 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.985 + -0.015. Which is the nearest to 1?  (a) 0.4  (b) w  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(95) + 1*sqrt(95)))\/(sqrt(80)*1).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-60)\/(-144))\/((-5)\/(-9))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3013638.\nAnswer: 2, 3, 101, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16591 - dbd?\nAnswer: -1745e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o + 140 = -22*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 4*d**3 - 1590. Let c(n) = -31*n - 2. Determine p(c(m)).\nAnswer: 11532*m**2 + 1488*m + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42650, -42348, -41844, -41138?\nAnswer: -40230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yt when two letters picked without replacement from tytytytyyytt?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*g - 9*g - 18. Let q be (3\/g + (-2)\/(-4))\/(-1). Which is the second biggest value?  (a) 0  (b) 5  (c) q  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 3:21 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 26751328579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -y + 2*y. Let g be 20\/70 - (-26)\/7. What is the third derivative of 3*h**2 + 607*h - 607*h - y*h**g wrt h?\nAnswer: -168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -n**9\/168 + 2*n**5\/15 + 4*n**2. What is the third derivative of a(r) wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (16 - (23 + -10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**18)\/g**(-5)*((g*g**17)\/g)**(-2\/139) assuming g is positive.\nAnswer: g**(3302\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/((-5)\/(-1)))\/((-1)\/(-5)). Let z(t) = t + 1. Let p(h) = -5*h - 2. Give v*p(i) + 6*z(i).\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 327746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4900 - -4899.9990148. What is a rounded to five decimal places?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2412159\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -266*v - 26801 = -6851 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -786, -3184, -7190, -12804, -20026, -28856?\nAnswer: -39294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/((-132)\/194) - -3. Let z(v) be the first derivative of -m*v**3 + 0*v**2 - 5 + 8\/11*v. Solve z(y) = 0 for y.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 3*l - 96 = 0. Find the common denominator of (1\/(-10))\/(18\/705) and (-20)\/15*(-278)\/l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.861374 nanometers to meters.\nAnswer: 0.000000007861374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -304.\nAnswer: -1\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000237146 to six decimal places.\nAnswer: -0.000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/7 in 546, -3\/7, -1, 0.5, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 68403461 and 1008866.\nAnswer: 11731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 19. Let o(q) = -4*q + 8. Let l be o(v). What is the highest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 - 16*i**2 + 72*i - 73. Determine d(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 + -90?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 260\/9 + -5962\/207. Let t = -0.1896 - 0.0104. Which is the closest to q?  (a) -3  (b) 0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from krq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {c: 3, u: 2, o: 1, e: 3, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 3*g + 6 = 0, 5*u = 5*g. Let o be 31\/(-12) + 3 - (-4)\/(-24). Let -o + 1\/4*m**4 - 1\/2*m + 0*m**u + 1\/2*m**3 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 84 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**5 - 2*i**5 - 3*i**5)*(2 + 1 - 1) - 15513*i**2 + 15513*i**2 + 198*i**5.\nAnswer: 194*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 69200597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -240*t**3 - 33*t - 177. Let a(h) = -15*h**3 - 2*h - 11. Let f(g) = 33*a(g) - 2*z(g). Differentiate f(n) wrt n.\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163492460.\nAnswer: 2, 5, 8174623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gfucv. Give prob of sequence cvu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -23489885 or -46979767\/2?\nAnswer: -46979767\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2*v + 458 = 0, -3*f - 63 - 288 = -3*v. Let q = 116 + f. Solve -2*u - 6 + 0 = 4*o, -q*o + 3 = -u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s - v - 4, -21*s + 4*v + 8 = -23*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/(-10))\/(12\/(-40)). Let y(m) = -m**3 - 10*m**2 - 5 + m + 12*m**2 + j*m**2. Let r be y(6). Solve z + 0*z - r = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-51 - -50) + (2 - (9 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -516814622 + 28*i + 516814622.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.682?  (a) 1\/2  (b) -8  (c) -1  (d) -8.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 5:36 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32373332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**(-5)\/n))\/n**(2\/5)*((n*n\/(n\/(n\/(n*n\/n**5))*n))\/n)\/(n\/n**(-4))*n**(-5)*(n\/(n*n**(2\/15)))\/n*((n*n**0)\/n)**(19\/5) assuming n is positive.\nAnswer: n**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*w + w**2 - 127*w**3 + 62*w**3 + 3 - w + 61*w**3 to n*w**2 + r + m*w**3 + a*w and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*u - 208 + 17*u + 206 + (1 + 2 - 2)*(-4 + 4 - 4*u) to the form m*u + w and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1353 a factor of 318881805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/15 - 16648*w**2\/15 - 726632*w.\nAnswer: 2*w*(w - 8934)*(w + 610)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 3*i**2 + i + 1. Let z be p(3). Let m be 0 + 3*z\/6. Suppose -h - 5 = -m*h. Solve 0*a - 5 = -h*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 130176 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, g: 2}. Give prob of sequence ggc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 6. Let h = -100 + 95.9. Let n = h - -1.1. Which is the nearest to n?  (a) p  (b) -0.1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9576 and 9912.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in -22, -2\/3, 1409, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -279 by 3.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 588, 1182, 1778, 2376?\nAnswer: 2976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -3*r - 23. Suppose g - 4*i = -26, 0*g - 30 = 5*g + 5*i. What is the units digit of w(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -1. Let i(u) = -5*u - 1. Let h be i(-5). Let t be h\/60 + 1*-1. Which is the nearest to r?  (a) t  (b) -1\/5  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -332*d + 357*d + 451 + 24 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37810 is divided by 18605?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 649 - 718. Suppose n*o - 18708 = 11*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1317198*j**3 - 516135*j**2 - j + 2 wrt j.\nAnswer: 7903188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 694.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*i + i = -11217, -11211 = -5*g + 4*i. Suppose g = 3*j - 520. Suppose 4*p - p = j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 4*j**2 + 11*j**2 + 10 + 3*j**3 - 7*j**2 - 2*j**3. What is s(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -50702676 less than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 5*f - 2. Let m(u) = u**2 + 21*u - 7. Let y(l) = 2*m(l) - 9*s(l). Let w(z) = -2*z**2 + 4*z - 5. What is -5*w(h) - 6*y(h)?\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 111*f**2 - 530*f + 5. Let m be d(5). What is the greatest common factor of 1010 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 650 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of s**4\/4 - s**3 + 5*s - 1. Let l = -18641 - -18637. Let t be d(l). Is -108 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 3*h**3 + (-3*h**2 + 0*h**2 + 2*h**2)*(-2*h - 6*h + 4*h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y + 2. Let v be (-2)\/(-8) - 24\/(-32). Let f = -4 - v. What is the units digit of u(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-12)*-2*(-5 + 0). Solve 3*q - x*f = -1, f - 3 = -1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 - ed?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5 - -3 - (0 - 0). Let g = l + 5. Let s(f) = f**3 - 2*f**2 - 3*f + 3. Calculate s(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-132)\/3*3\/6. Let k be -2*(-1)\/(-2) - w\/26. What is the nearest to 0 in 0.2, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-3)\/18*-3)\/(3\/450).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -439977322 bigger than -439977321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1068*w = -1066*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 737003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11.88 + -0.12. Let a = 13 + y. What is the closest to -1 in a, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/22593983 and -5\/1574?\nAnswer: 45187966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/7*j**3 + 18\/7*j - 20\/7*j**2 + 0 = 0. Calculate j.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.893064 days to weeks.\nAnswer: 2.556152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -15*f**3 + 2*f**2 + 12*f - 2. Let r(l) = 74*l**3 - 11*l**2 - 60*l + 11. Let o(g) = -11*d(g) - 2*r(g). Find the second derivative of o(t) wrt t.\nAnswer: 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114) + (sqrt(114) - (sqrt(114) + -2*sqrt(114)*2)) - sqrt(114) - (sqrt(114) - (sqrt(114) + sqrt(114)*2*4)))\/(3*1*sqrt(600)).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -13*f**2. Let d(m) = -180106*m. Give u(d(s)).\nAnswer: -421696226068*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 29 - (5 + (-2 + -2 - 15))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 900308.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2 - 1 + 51*n**2 - 53*n**2 - 1. Let x(d) be the third derivative of -5*d**4\/12 + d**2. What is x(l(a))?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 37825*q**2 - 3*q + 1. Let r(c) = 102*c. Calculate r(i(z)).\nAnswer: 3858150*z**2 - 306*z + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 34 = 4*d - 0*k, -3*k + 39 = -3*d. Let i = 12 + d. Suppose 5*c - 1 = 9. Solve -c*b = -i + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -27. Let y = p - -23. Let l(s) = -s**3 + 3*s**2 + 4*s + 3. Give l(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 105916\/7 and 15132 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20188 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64673 is divided by 655.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 119802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 262705.\nAnswer: 5, 52541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/17 - 32*x**2\/17 + 2*x\/17 + 32\/17.\nAnswer: -2*(x - 1)*(x + 1)*(x + 16)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8326675 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -0.3  (c) -811\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 58444667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of -2*k**5\/5 - 17*k**4\/4 - k**3\/3 + 244*k**2 - 4*k - 786. What is the second derivative of b(c) wrt c?\nAnswer: -48*c - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 319974060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - l + 1 = 36, -t = -l - 11. Let p(z) = z**3 - 138*z**2 - 1172*z - 9. What is the remainder when p(-8) is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 13  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 15 = 5*a, 2*a + 12 = -4*o + 2. Let c(g) = 6 + g + 5 - 3 + a. Let x(j) = -3. What is 2*c(k) + 9*x(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that v**4 - 9*v**3 - 316*v**2 + 660*v = 0.\nAnswer: -15, 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -84, -6, -4\/7, 0.4, -1, -2\/11, 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 181\/(5611\/248)*19\/8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is 9131 times -1.67?\nAnswer: -15248.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3 - 44*z**2 - 381*z + 1566.\nAnswer: -(z - 3)*(z + 18)*(z + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -14285?\nAnswer: -14283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2.2, -2, -1.3, 6\/13, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -2*h**3 - 7*h**2 + 11*h - 7. Let y(f) = f**3 + 4*f**2 - 6*f + 4. Determine -4*u(n) - 7*y(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 45767.79 centuries?\nAnswer: 4576779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 + 31704*j - 2555520.\nAnswer: 3*(j - 80)*(j + 10648)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 5*b = 20, 17564*y + 24 = 17565*y + 6*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1605 is divided by 794.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, 6, 70, 192, 390, 682, 1086, 1620?\nAnswer: 2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112311 - 28401 = -5*t. Let i = -184831\/11 - t. Let z = -21 - i. What is the closest to z in 0, -2\/3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*a + 14*a + a + 20*a)*(-a**3 + 55*a**3 + 29*a**3).\nAnswer: 2324*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(2\/5)*o*o**(-1)*o**(-1\/3)\/o*(o\/(o*o\/o**(2\/7)))\/o)\/((o**(-6)\/(o\/(o*o**0*o)))\/(o**(-1\/4)*o*(o**(1\/5)*o)\/o)) assuming o is positive.\nAnswer: o**(1807\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m + 2. Give a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(5\/((-35)\/7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 11212*p + 11216.\nAnswer: -4*(p - 2804)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -48 + 18. Let m = v + 2. What is the lowest common multiple of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (260\/26)\/((-3)\/((-6)\/(-4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*5*sqrt(500) + 1.\nAnswer: 1 + 250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -4. Let x(s) = 3 + y*s**2 + 1 - 4. Let k(q) = -q**2. What is x(k(w))?\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of n**5\/20 + 5*n**4\/24 - n**3 - 13*n. Let v(q) be the second derivative of x(q). Is v(6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -99 + 153. Let t = s - 19. Solve 4*g + 46 - 10 = -4*m, -5*g - 3*m - t = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - 16. Put b, -3, -10 in increasing order.\nAnswer: -10, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 27*v + 4944. Give g(-184).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**3 + 7*r + 1. Let c be p(-5). Suppose m = 3*m - c. Let s = m - 62. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dcbdzbddbb. What is prob of picking 2 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3*t - 13 = -3*a, 0 = 5*a + t - 13. Suppose -3*s = a - 12. Calculate the greatest common factor of s and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-81)\/(-15))\/(3\/10). Let t be (-3118)\/6 - 6\/q. Round t to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 93.7 + -92.7. Let g(v) = v**3 - 3*v**2 + v. Let c be g(1). Let a be 13\/(-11) + (-1)\/(-1). What is the second biggest value in k, 2, c, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*k - 12*k + 42*k)*(3 + 1 + 7) + 1 - 1 - 3*k.\nAnswer: 481*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 24137*w**3 + 21*w**2 - 37*w - 470. Let j be a(-10). Round j to the nearest 100000.\nAnswer: -24100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 785 divided by 157.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1261?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppttutbuttupttuppppt. Give prob of picking 1 p and 2 t.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ooacocvcvo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 630138181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 4*n - 59. Let h(x) = 18*x - 101. Let b(j) = -16*j + 99. Let g(f) = 6*b(f) + 5*h(f). Let t(s) = -5*g(s) - 8*y(s). Calculate t(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/(-12))\/(17\/((-306)\/(-405))).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9683 or 9685?\nAnswer: 9683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5108 divided by -1.\nAnswer: 5108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 368*b + 51*b - 548 = -129 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 113.3 - 118.61. Let f = 5.310462 + l. What is f rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -1927333.\nAnswer: -3854666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (6 - 2331)\/((-3)\/2*31\/806).\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8.03 + -8. Let u = 1.27 + y. Let k = -0.8 + u. What is the third smallest value in 0.3, k, 0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23209 - -7095. Is f a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 205613, 0, -0.5, 7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7\/312  (b) -20  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -25679, -25682, -25687, -25694, -25703, -25714, -25727?\n\"Answer: -y**2 - 25678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 0.5, -1\/2, 7 in descending order.\nAnswer: 13, 7, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000010111000001111001 + -10000?\nAnswer: -10000010111000010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 9485 less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 188.000000372 + -188. Round l to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - f - 8 = 0, 0 = 4*y + 5*f - 2602. Is 45 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -845, -1691, -2537, -3383, -4229?\nAnswer: -5075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-5)\/(25\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of w**10\/2520 + w**6\/360 - w**3\/6 - w**2. Let y(t) be the first derivative of l(t). What is the third derivative of y(u) wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7504 - 7436 - (184 - -2).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 15.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 736 and 861426912.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/6 - (-1128)\/(-18). Let q = x + 73. Suppose q*n + 4160000 = 2*n. Round n to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -4*w**2 - w - 2. Let d(j) = -5*j**2 - 1. Let l(b) = 3*d(b) - 4*p(b). Let v be (-20)\/(-6)*(0 + (-18)\/12). What is l(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q**2\/7 + 28376*q\/7 - 50324836\/7 = 0. What is q?\nAnswer: 3547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15 - ((-168)\/(-7))\/(-4). Suppose 3*o = 4*d - 135, d + 140 + 21 = -4*o. Let p = o - -146. What is the greatest common divisor of p and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -7*j - 4 + 1 + 1 - 3 + 11*j**2. Let n(a) = 5*a**2 - 3*a - 2. What is -9*n(i) + 4*s(i)?\nAnswer: -i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((-2 + -1*sqrt(2736) + -1*sqrt(2736)*-2)*6 - (5 + 3*2*sqrt(2736) + (sqrt(2736)*2*1 - sqrt(2736)))))**2.\nAnswer: 384*sqrt(19) + 2992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 divided by 27.\nAnswer: -17\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -304 at least as big as -300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 161177 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/((b*(b**(-2\/7)*b)\/b*b)\/b)))\/b)**(-1\/54) assuming b is positive.\nAnswer: b**(1\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l = -38114 + 37910 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 458244?\nAnswer: 2, 3, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*v + 3*v + 3219. Calculate the remainder when v is divided by (-7 - 0)*(-30)\/7.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m**2 - 31*m - 14. Let l be n(-15). Let k = -2.6 + 2.1. Put l, k, 0.7 in decreasing order.\nAnswer: l, 0.7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + 2*h**2 + 2*h**2)*(2 + 7 + 0 + (-4 + 1 + 1)*(1 + 4 - 3))*(-2*h - 5 + 3 - 3).\nAnswer: -20*h**3 - 50*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i + 6. Let d be u(-5). Let p = -0.03 - -64.03. Let k = p + -62. Which is the second smallest value?  (a) k  (b) -0.1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*d - 81305 = 196303. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77 + 280 = 7*c. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(sqrt(5) + 3*sqrt(10)\/sqrt(2) + sqrt(5)) + -1.\nAnswer: -1 + sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 9*h. Let p(d) = -33*d + 1. Give p(o(c)).\nAnswer: -297*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 39899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56 + 5*n + 81 - 1 - 35 - 8*n.\nAnswer: -3*n + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -714*n = -730*n - 48 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-138)\/(-460))\/((-2)\/10). Sort -1, -63, b in descending order.\nAnswer: -1, b, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of 0*m**3 + 0*m**2 - 1\/30*m**4 + 0 - 3\/25*m**5 - 8\/105*m**7 - m - 4\/25*m**6. Factor q(w).\nAnswer: -2*w**2*(2*w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((90\/35)\/(-9))\/(48\/42).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 24, -1\/12 in ascending order.\nAnswer: -1\/12, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3011 is divided by 721?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 7:25 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 4 = -h, -4*h - 55 = 2*v - 71. Let j(a) be the second derivative of 0*a**4 + 0*a**3 - 9\/20*a**5 - 1\/2*a**2 - h*a + 0. Differentiate j(g) wrt g.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2, 1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 1405.\nAnswer: 140.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -8*y**2 + 67*y + 60. Give d(5).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 203 - -31310320?\nAnswer: 31311023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -2\/15, 1, -1.9, -2\/3 in increasing order.\nAnswer: -1.9, -2\/3, -2\/15, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11260 + 11530?\nAnswer: 23010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/(-8))\/((-1)\/(-12)). Let h(b) = -3*b - 6 + d. Let k(v) be the third derivative of v**4\/24 + 32*v**2 + v. Determine h(k(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of q**4\/8 - 13*q**2. Let h(o) = -8*o. What is v(h(k))?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = m - 32, 23 = -2*m + 3*m + 2*y. Calculate the remainder when 281 + -287 - 10*(-44)\/8 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of 135*k**4\/4 + 105*k**2\/2 + 17. What is the second derivative of z(v) wrt v?\nAnswer: 810*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-190 + (14 - -163) - (1 + -2 + -47)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1672890493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 116505351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/10)\/((0 + -1)*(-82)\/(-205)). Let m = -1 - -5. Solve -h + 0*q + 2 = q, m*q = s*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 15*f + 179. What is s(-4)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4\/(-10) + 3768\/20 + 1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237 = 6*d + 2541. Let r = 1136 + d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 285, 1142, 2571, 4572, 7145, 10290?\n\"Answer: 286*p**2 - p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5.753293 decades?\nAnswer: 690.39516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k\/((((k*k\/(k**(-24)*k))\/k*k)\/k)\/k)*k*k**(1\/7)*k**(5\/6)*k*k\/(k\/k**3)*k assuming k is positive.\nAnswer: k**(-589\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3578072130 plus -0.05?\nAnswer: 3578072129.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + a4b484?\nAnswer: a4b486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b**5*r - 11*b**3*r - 3*b**2*r + 5*b**2 wrt b.\nAnswer: 60*b**2*r - 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = -366*h + 362*h - 4, 5*r = -5*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bsbysysjbsbjjj. What is prob of picking 2 y and 1 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -6*d**3 + 83*d**2 - 1570*d + 25116. Calculate t(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 5*q - 20, 5*a - 125 = -3*q. Suppose -a = 3*l - 4*l. What is the remainder when l is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2644707, 2644708, 2644709, 2644710?\nAnswer: 2644711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6281531 centuries to millennia.\nAnswer: 0.06281531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (100 - 100 - 14*j**3)*((1 + 3 - 3)*(-2*j + 1 - 1) + 5*j - 2*j - 2*j + 6*j + 5*j - 8*j).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = n - 2*u, 0 = n + 3*u - 13 + 11. Suppose -2*d = n*s - 7*s - 921, 2*s = -2. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -387*d + 6171 = -3504 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 15.11 and -4385233.\nAnswer: -4385217.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3*c. Let o = -18 - 3. Let y = -15 - o. Let q(l) = -3*l. Give y*a(h) - 7*q(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44 + 1 + 9 - 88.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1516 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 167864 and 1208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + -3. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 2*k**2 + 2*k - 5. Let g be m(-4). Let r = g - 47. Let t = -3 + r. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*y + 2*y + u - 9, -4*y - u = 0. Let z be 312\/(-60) + y\/(-5). Which is the closest to z?  (a) -4  (b) 0.2  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 12:04 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1331677 or -1331674?\nAnswer: -1331674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t + 4 + 4 + 4 - 5 - 10. Let w(x) = 1. Suppose 2 + 0 = 2*c. Determine c*i(d) + 4*w(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 4*y - 4*h = -24, -5*y = 3*h - 32. Suppose 3*b = y*b - 5*g - 6199995, -g + 24800001 = 4*b. Round b to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -114*c**2 + 93*c**2 - 132 + 126*c - 3*c**3 - 6*c = 0. Calculate c.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vqvqqqvvqqqvq. What is prob of sequence qq?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 31561274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*i**3 - 2*i**3 - 9*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.1, -2371.28, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: -196 divided by -2\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1885641, 0.2, -0.4 in decreasing order.\nAnswer: 1, 0.2, -0.4, -1885641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of x**2 - 2*x + 5. Let c be h(3). What is the greatest common divisor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22300299*q - 723881*q + 18660512*q.\nAnswer: 40236930*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -247, -354, -461, -568?\n\"Answer: -107*r - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13169117527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -2016240 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6696669, -6696670, -6696671, -6696672, -6696673?\n\"Answer: -o - 6696668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.371587 millennia to years.\nAnswer: 3371.587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08 - -6634377?\nAnswer: 6634377.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 534 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 455466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-6)*i**6*(i**(3\/7)\/i*i)\/i**(1\/4))**(8\/3) assuming i is positive.\nAnswer: i**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 2:35 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 88008900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15226 - -15225.5115. Round u to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 0 + 1 + sqrt(972) + sqrt(12) + 1*sqrt(1728) + -2 + (sqrt(12) + 4)**2.\nAnswer: 30 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -5*t**2 - 54*t + 20. Let k be m(-6). Solve 4*f + 3*a = k, 0*a + 4*a = -3*f + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o - 4. Let x(r) = r + 1. Let v(c) = 2*i(c) - 2*x(c). Determine v(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 - -6 - 3)\/(-1). Suppose 2*l + 2 = -b. Is l + 4 + (-6)\/(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12146 - 3433?\nAnswer: -15612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/(-3))\/(4\/(-18)). Which is the third biggest value?  (a) 1\/2  (b) -2  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*a**2\/3 - 46*a\/3 + 4.\nAnswer: 2*(a - 3)*(7*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13914654?\nAnswer: 2, 3, 13, 178393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -4*s - 6. Suppose 14*g + 15 = 9*g. Let j be 13\/g + (-4)\/(-12). Let p be r(j). Calculate the highest common factor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*30\/(-4)*1\/(-5). Let f(i) = -i - 4. Give f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5421 and 12838596.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-810)\/(-24)*22\/396.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 1\/4133349294 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + -1 - -30) + -62 + 65 + (-1 - 9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1249001177 - 0.1249. What is w rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.0562 rounded to two dps?\nAnswer: -3.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 963038759?\nAnswer: 569, 1692511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 - (10 + -2 + 21)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 9*v**2 + 7*v + 7. Let y be o(8). Let h = 30 + y. Suppose -h + 11 = -2*d. Solve -w + 5*w + 12 = -x, 3*w + d = 5*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 12 = 0, 5*m - f + 16 + 47 = 0. Let x be (-1)\/(-1) + (-6)\/m. Do x and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -6*s**2. Let m(r) = 20*r**2. Determine t(m(z)).\nAnswer: -2400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17255 = 106*f - 60256 - 349669. Solve f - 4021 = s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 76772 = -22*l. Let f = -2600 + l. Round f to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0568 and 13.0656975.\nAnswer: 13.0088975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8637, -69085, -233097, -552435, -1078861, -1864137?\nAnswer: -2960025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9375, 9345, 9265, 9111, 8859, 8485?\nAnswer: 7965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 24\/3 + -6 - (-55 + 37). Suppose 0*r = r. Solve 2*o - 4 = -2*t, 7*o - 2*o - 5*t + x = r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 2*o, -7 - 5 = -4*o. Suppose 3*y = -4*g + 69, -g + 7 = -z*y + 1. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*g - 8*g - 3*g + (2 - 6 + 2)*(0*g + 1 - 2*g + g).\nAnswer: -14*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of k**5\/180 - 5*k**4\/72 - k**3\/3 + 20*k**2. Factor c(x).\nAnswer: (x - 6)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1296628, -2593215, -3889802, -5186389, -6482976, -7779563?\nAnswer: -9076150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2101*a**2*p + 4*a**2 - 3*a - 14 wrt p.\nAnswer: -2101*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbms when four letters picked without replacement from {s: 5, b: 9, w: 1, m: 5}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -1662\nAnswer: 5\/1662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 770*s**3 + 789*s**3 - 2742*s**3 + 1204*s**3.\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4993838, 9987662, 14981488, 19975316, 24969146, 29962978?\n\"Answer: t**2 + 4993821*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 186*i**2*q**2 - 602*i**2 wrt q.\nAnswer: 372*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 1328*y. Let p(t) = -16*t. What is p(m(j))?\nAnswer: -21248*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -80 - -79.9. Which is the closest to m?  (a) -0.5  (b) 1  (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2419757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24 + 14. Do a and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -48, -37, -16, 15?\n\"Answer: 5*z**2 - 4*z - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*w - 75 = 0. Let y = w - 18. Suppose y + 41 = 3*d. Calculate the highest common divisor of d and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 1018?\nAnswer: 10180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1434.3 - 1434.4. What is the nearest to l in 1\/4, -4\/9, 1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 19, 130 in descending order.\nAnswer: 130, 26, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-154)\/(-77) - (54\/8)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -50*n + 105293 + 435247. What is the greatest common divisor of n and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.0498  (b) -83  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*3*sqrt(75))**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 11400\/1710*(-3)\/180\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 274*f. Let o(a) = 26*a**2. What is o(l(b))?\nAnswer: 1951976*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 23621006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -4, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -10*j - 93. Let f be h(7). Let b = 258 + f. Calculate the greatest common divisor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36515419 is divided by 205?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38184 = -s + 5*s. Let c = -4277 + s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -2. Let m be -1 + (8 - w)\/2. Differentiate -m*r - 3 + 2 + 0*r + 2 with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 17292522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - 65. Let d = f - -206. Let w = d + -154.99999917. What is w rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + h + 3. What is v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u**2\/u)*u))**(-1\/4))**(-32) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -109*d - 46. Let k(n) = 55*n + 23. Let l(x) = -5*k(x) - 2*p(x). Is l(-3) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34 - 28) + (-1 - 14\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4870*f**3 + 3*f**2 + 3*f + 3. Let j(t) = -262982*t**3 + 161*t**2 + 161*t + 161. What is 6*j(g) - 322*l(g)?\nAnswer: -9752*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-58)\/(32\/(-14) - -2). Let f be 2*((-10)\/8)\/((-10)\/12). Suppose 4*y - f*r = 5*y - 91, -5*r = -3*y + t. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 + 31 + (-44 - 59) - (-3 + 10)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 531.2279 millennia to years.\nAnswer: 531227.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5aa400 (base 16) to base 3\nAnswer: -102011210110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -428 (base 10) in base 11?\nAnswer: -35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39 + -7. Let q = j - -266. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 11*v**2 - 2*v + 22. Let r(n) = 12*n**2 - 4*n + 19. Determine 4*l(s) - 3*r(s).\nAnswer: 8*s**2 + 4*s + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 255048683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 2)*(286\/55)\/13*1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246196047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, e: 2, b: 2, q: 3}. What is prob of sequence ggqq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.298 + -0.166. Let k = 1.132 - w. Let d = 10 - 6. Sort d, -0.1, k, -2 in decreasing order.\nAnswer: d, k, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 7*s**2 - 2*s + 3. Let o be w(6). Let n be ((-18)\/o)\/(2\/40). Is 1*134\/(n\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -73432 and 0.02844?\nAnswer: -2088.40608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 + 3*i + 6. Let b be q(4). Find the third derivative of -8*r**3 - 2*r**3 + 7*r**2 - b*r**3 + 2*r**3 wrt r.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3536726013 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7704, -28, -1.\nAnswer: -28, -1, 7704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28a (base 11) to base 13.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18\/(-3 + 6)*14\/3. What is the tens digit of (-204)\/(-10) + b\/(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0  (b) 1  (c) -49\/5  (d) -5\/2  (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 34*l - 2. What is the remainder when (2 + (-20)\/7)\/((-26)\/416689*19) is divided by r(2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1232 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 3:11 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.518 - -0.008. Let v = w + 0.01. Which is the nearest to -0.2?  (a) 5  (b) 2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.32 + 2.32. Which is greater: 2\/5 or m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 8421381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -4, -3, 26, 13 in decreasing order.\nAnswer: 26, 18, 13, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -267314, -534628, -801942, -1069256?\n\"Answer: -267314*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.2823 - 0.28230189. Round h to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l**2 - 10476243*l**3 + 10477780*l**3 + 6*l**2.\nAnswer: 1537*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/2*(-24)\/9. Let a = -1 + k. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 3) + (-1 - (-5 + 4 + 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wjn when three letters picked without replacement from gwjjnjjjj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6948020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 248.86668 hours to days.\nAnswer: 10.369445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 57548 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15989*y + 18785*y - 44561*y - 9365*y**4 + 16610*y wrt y.\nAnswer: -112380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 288 - 101 = -17*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-81)\/(-15) + (-4)\/10. Let z(k) = -6*k + 2. Let t = 4 + -3. Let p be z(t). Sort 3, p, v in ascending order.\nAnswer: p, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p + p - p)*(-2*p + 6*p - 3*p)*(2 - p - 2) + 2*p**3 - 5*p**3 - 7*p**3 to the form r*p**3 + i*p + t + v*p**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 6) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119 = -5*s + l + 3*l, 0 = -2*l + 8. Differentiate 14*g**2 - 23*g**2 + 32 - s*g**2 with respect to g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d08 + 3?\nAnswer: d0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -1.4. Let i = u + -0.5. Let r be (-2)\/(-2)*-1*30\/75. Sort 1\/4, i, r in descending order.\nAnswer: 1\/4, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (71\/(37701\/(-59)))\/(-2*1\/45)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + -1. Let f = 9.5 - 16. Let k = 6 + f. Which is the closest to 1?  (a) k  (b) t  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -914, -3809, -8904, -16421, -26582, -39609, -55724?\nAnswer: -75149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (66\/(-99))\/(-1 - 0)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 + 0)*(-4 + 4 + 2*i)*(-22*i + 22*i + 9*i**2) to the form y + q*i + m*i**3 + a*i**2 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/333?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 122112011021 (base 3) in base 2?\nAnswer: 1010100001101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = -57*s + 61*s. Calculate the greatest common factor of 77 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -48*l**4 + 53*l - 58 + 4*l**2 + 58 + 2*l**3 + 21*l wrt l.\nAnswer: -1152*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i - 2. Suppose 0 = -l + 13*l + 72. Let x(q) = -3*q - 2. Let o = -44 - -49. What is l*x(m) + o*z(m)?\nAnswer: 8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -134, -5, -24, 3.\nAnswer: -134, -24, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -82 - -74. Let a(y) = 5*y**2 - 4*y - 4. What are the prime factors of a(s)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -365443 divided by 392?\nAnswer: -365443\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -159*s + 171*s + 48. Suppose -3*i + 2*k = -272, -4*i - 2*k + 432 = i. What is the remainder when i - (s\/1 - -2) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 + j + 2. Let b(i) = -16*i**2 - 27*i + 4. Give b(v) - 2*g(v).\nAnswer: -14*v**2 - 29*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 40734135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 + 10*c - 10. Let v be i(6). Is v + 2\/2 + 2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-39*a**3 + 47*a**3 - 32*a**3)*(-a - 4 + 3 + 2) - 90*a**4 - 143*a**4 + 66*a**4 to the form u*a**3 + o*a**4 + c*a**2 + r*a + l and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = f + 4. Let l be f - 2 - (6 + -6). What is the first derivative of -156*v**3 + l*v**4 + 156*v**3 + 28 wrt v?\nAnswer: 88*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yqqnnqqnqqqqqqq. What is prob of sequence nn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 17600700 divided by -12?\nAnswer: -1466725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/7)\/(61\/(-122)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 53130000 to the nearest 1000000.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -546 - 182 = 5*f - 4*m, -4*f - 4*m - 604 = 0. Let h = -568 + 290. Let z = f - h. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.01  (b) 7\/52  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -1\/131  (c) -6  (d) 4  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 171*l**2 - 29*l + 127. Let i be k(5). Let m = i + -2511. List the prime factors of m.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fflll. Give prob of sequence llf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 480 is divided by 123?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 338624 or 338627?\nAnswer: 338624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -303 = -8*o + 5*o. Suppose 20 = -t + o. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -4*r**2 - 1. Let q be n(-1). Let v be (-2)\/(28\/(-7))*(-6 + 6). Which is the closest to -0.1?  (a) q  (b) v  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t + 14*t + 20 = 0. What is the least common multiple of 1*-2 + (-50)\/t and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -74748\/11 less than or equal to -6795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*l**5 + 21193*l**4 + 496*l**2 wrt l?\nAnswer: 120*l**2 + 508632*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from {u: 4, a: 1, i: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 5*l**3 + 16*l + 32. Give o(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 2*h = -2*w + 11, 4*h + 24 = 5*w. Suppose a - 13 = -3. What is the units digit of (15\/a)\/(2\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1178038, -2356073, -3534094, -4712101, -5890094, -7068073, -8246038?\nAnswer: -9423989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -4, 4, -35, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -187\/713160 and 59\/48384.\nAnswer: 68463360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.03 and -0.035.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*g, -2*b - 125 = 3*b - 4*g. Let r = b + 35. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 3*v + 1 + v**2 - 15*v + 9*v - 2*v**2. Calculate c(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6874346 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1658 and 17200092?\nAnswer: 17200092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 - 8*p**2 - 9*p + 10. Let y be l(9). Suppose 0 = -3*u + 5*u + 2. Let k = y - u. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + d)*(-d**2 + 3*d - 3*d) + 40136*d - 7029*d**3 - 40136*d.\nAnswer: -7030*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 10031 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**2 + x**2 - 5*x**2 - 3*x + x**2 + 3*x + (-5 + 5 + 2*x)*(-x + 1 - 1) - 34*x**2 - 130*x**2 + 78*x**2 + (-x - x + x)*(-x + 2*x - 3*x).\nAnswer: -87*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6431461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1156\/5 + 232. Which is the nearest to 0.1?  (a) i  (b) -0.2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 5\/9  (b) -2\/33  (c) 0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 72*m - 73*m + 0*m**2 - 33*m**3 + 2*m**2 - 3*m**2 to y*m**2 + j*m**3 + w*m + s and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -415 - -420. What is the common denominator of (-7 + (-1665)\/(-120))*(-2)\/k and ((-122)\/54)\/((-2)\/6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 0*z + 14 = 4*z, 6 = -g + 2*z. Suppose -g = c - 42. Suppose -26 = -2*o + c. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 7*r + 1. Let w(l) = l. Give -v(c) + 4*w(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.52 + -0.456. Let u = 1.936 + m. What is the second smallest value in 1\/8, u, -1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s + 6*s - 12*s**3 + 10*s**3.\nAnswer: -2*s**3 + 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -47 + 35. Put q, 2, 0, -3 in decreasing order.\nAnswer: 2, 0, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 20\/88*(-3832)\/(-3). Let a = -863\/3 + d. Find the common denominator of 3\/(-21) + -1 + 1 and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4175.6 and 1828.\nAnswer: -7632996.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11545?\nAnswer: 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -13) + 3 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 158*z**5 + 4*z**4 + 16030*z**3 - 5*z**2 + 859*z + 30032 wrt z.\nAnswer: 9480*z**2 + 96*z + 96180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 2 q, and 1 i when four letters picked without replacement from {i: 1, q: 4, u: 10, l: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -11*y - 55. What is d(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 12. Let v(f) be the second derivative of f**5\/20 - 5*f**4\/12 - f**2 + 3267*f. Calculate v(c).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3105 and 3450.\nAnswer: 31050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/((c\/c**35)\/c)*c*c**(22\/9) assuming c is positive.\nAnswer: c**(355\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 274*s = 260*s + 19 + 9. Which is the second biggest value?  (a) s  (b) 3\/8  (c) -5  (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4.04 and 422.\nAnswer: 1704.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -7. Is 1 - -1 - (v - 110) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1707)\/5121)\/(((-1)\/45)\/(-1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 - 161694*o**2.\nAnswer: o**2*(o - 161694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62538950, 62538948, 62538946, 62538944, 62538942, 62538940?\nAnswer: 62538938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 69 - 39 = 0. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 4*k - 33272, -28484 = -4*n + 5*k + 4787. What is the thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-82)\/31)\/((-98)\/(-7) + -2) and 25\/9?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - w + 166, 3*m = -2*m + 2*w - 162. Let i = 665 + m. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**4\/(s\/s**(-1\/16)))**(6\/11)\/((s*s*s\/s**(-4\/9)*s*s**9)\/((s\/(s*s**0)*s)\/s)**(-19\/3)) assuming s is positive.\nAnswer: s**(-9379\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1242, 1.3, -9, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.9 - 7.9. Let b = -1.658 + -0.042. Let t = 1.3 + b. Sort 0.3, t, 0.04, n in decreasing order.\nAnswer: 0.3, 0.04, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 - 3*g**2 - 11*g - 8. List the prime factors of s(6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 4*s = 12, -42*n = -47*n - 2*s + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5796 = -7*p - 7*p. Suppose -p = -30*q + 3366. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19 + 40. Let k(r) = c*r + 2189 - 2189. Let b(h) = -h. Calculate b(k(j)).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -625, -1643, -2653, -3655, -4649, -5635, -6613?\nAnswer: -7583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -26*m**2 - 8*m - 16. Let j(c) = 3*c**2 + c + 2. Let f(u) = -b(u) - 8*j(u). Let p(g) = 3*g - 688. Determine f(p(s)).\nAnswer: 18*s**2 - 8256*s + 946688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*i**3*n**2 - 512*i**3*t**2 - 4*i**3 - i*n**2*t + 2*n**2 wrt t.\nAnswer: -1024*i**3*t - i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1574669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-3 - 85\/(-15) - 3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-one halves of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-39)\/(-5343))\/((-2)\/(-4)). Is 4 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**2 + 35*h - 27. Suppose 2*o + 652 = -2*i + 688, 5*i - 4*o - 81 = 0. Determine t(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -896 + 412. Suppose 3*j + 697 = 130. Let v = j - d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6\/11, -2, -1\/10, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41431.\nAnswer: 13, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wggg when four letters picked without replacement from gggggggwgggg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -20c31 (base 15) in base 8?\nAnswer: -313074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 567401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 29 - 24 = -t, -3*f + 2*t = -9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 0*w - 3*w + 20 = 0, 0 = -3*a + 4*w - 10. Let n(r) = r**2 + r - 2. Let o be n(a). Suppose 0 = -o*m - 0*m + 32. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 72\/5 of a kilogram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1951 + -19509\/10. Let m(i) be the first derivative of -i**3 + 3 - 9\/20*i**4 + 0*i - 3\/5*i**2 + u*i**6 + 3\/25*i**5. Determine n so that m(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 5*o = -183, -2*h + 3*h = 3*o + 44. Calculate the remainder when 128 is divided by h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 32, 8, -5 in decreasing order.\nAnswer: 32, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -20, 0, 1, 5, 80 in ascending order.\nAnswer: -20, -17, 0, 1, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 4*c**3 + 296*c**2 + 858*c + 13. What is o(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6.45?  (a) -97  (b) 1  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, i: 2, u: 7, n: 1}. What is prob of picking 1 u, 1 i, and 1 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from ifyfffffsifiyei.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 6 = -440*f + 881*f - 445*f + 3, 7 = 2*y + 3*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.014364673 - 0.5.\nAnswer: -0.514364673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1400 - -931. Let f = 440 + n. What is the fourth smallest value in f, 2\/5, 2\/13, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**3 - 3*t**2 - t + 1. Let z be l(2). Solve -5*j = 7 + z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/(-10) + (-22)\/(-30))*-1. What is the second biggest value in -2, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -539787 + 2*f**3 - 539766 + 1079553.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 1 - 4 + 55*s - 30*s - 33*s. Let p(u) = 7*u + 2. Let c(a) = 2*l(a) + 3*p(a). What is the hundreds digit of c(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 777 + -441. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 13*s**2 - 2800*s - 4557. Let t be a(217). Let -2\/5*h**2 + t - 62\/5*h = 0. Calculate h.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 20 = -0*b. Calculate the remainder when 70\/b*(-1 - 1) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6692, -6696, -6710, -6740, -6792, -6872?\nAnswer: -6986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o + u + 3*u - 295, 5*u + 515 = 5*o. Suppose -2*n = -3*i + 36 + 29, 0 = -5*i - 4*n + o. What is the common denominator of -25\/2 and (-3 + 2)*135\/i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 14 = 2*c, 0 = -3*j + 6 - 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 67472 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197694 is divided by 557?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/((-345)\/117 - -3). Find the common denominator of 53\/7 and (-21)\/35 + y\/36.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jlktttltlwljttk. What is prob of picking 1 w and 3 l?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**2 - 6*k + 16. Let q be o(4). Let v be (-30 - -29)\/((-2)\/q). Let w(g) = 3*g - 2. Let t be w(1). Solve 0 = 4*a - c + 2 + 3, 5*c - t = -v*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y - 7. Let n be v(-5). Let d(k) = k**2 - 3*k + 5. Let a be d(n). Let r be 3\/((-9)\/5)*(-4 + 1). Solve a*t - r + 0 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 7:41 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - b - 3 = 0, -5*s = -5*b + 31 - 26. What is the third derivative of -36*x**2 + x**5 + 180*x**3 + 222*x**s - 21*x**2 wrt x?\nAnswer: 60*x**2 + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 25*q**2 - 25*q - 25. Let u be y(26). Solve 5 - u = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40858693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 5*v = 1728. Let y = v - -224. Solve -5*s + 3*a - 11 = -1, -4*s - y = 2*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3967\/15630 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - 29. Let h = -93.9 + 9.9. Let a = h - g. Which is bigger: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 3*a**2 - 2*a - 6. Let l be s(-4). Suppose -3*t = 2*y - 45, y + 4*t - l = 7. Suppose -84 = -3*b - y. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 5 = 2*x, 2*a = -6 - 0. Let i be (-801486)\/35 - x\/5. What is i rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjj when three letters picked without replacement from xjxxjjx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -638*q - 112 = -610*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 31557606 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 15 = 0, 3*j - 1 = 2*p + 2*p. Suppose -3*z - 3*o + j = z, 13 = z + 3*o. Does 4 divide 1 + 1*z + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -26.6272904 to 3 dps.\nAnswer: -26.627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1777996 divided by -40409?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 83*a + 87*a - 25*a**2 - 189*a + 1 wrt a?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -4*v**2 - 2. Let s(j) = 5*j**2 - j + 1. Determine -3*a(z) - 2*s(z).\nAnswer: 2*z**2 + 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78073.\nAnswer: 101, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9\/581 or 11750?\nAnswer: 9\/581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 0. Let f be (-1)\/((i + -8)\/(-3)). What is the nearest to f in 4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (102 + -41 - 81) + (-3 - 1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - q)*(5*q**2 - q**2 - q**2) + (-q**3 + q**3 - 3*q**3)*(2 - 3 - 1) in the form d*q**2 + i*q + m*q**3 + w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 28 = 4*s - 3, 5*s + r = -31 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -135*n + 180. Does 66 divide v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 - w + 4. Let d be i(0). Determine o so that 4*o**3 + 2*o**5 - 6*o - o**2 - o + 7*o - 5*o**d = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/9 - 44\/(-72))\/((-450)\/(-135)). What is the smallest value in -0.1, -9, t, -0.52?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55.77277 milligrams to nanograms.\nAnswer: 55772770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (156\/(-36))\/((-8645)\/(-57855))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*x**3 + 9652725*x - 224777415?\nAnswer: 39*x**2 + 9652725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j**4 + 185*j**3 + 130*j**2 + 37908*j wrt j.\nAnswer: 12*j**2 + 1110*j + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1315495177?\nAnswer: 11437, 115021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -2\/7  (b) -0.9  (c) -2  (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/6 - 1\/(-3). Let c(i) = -86*i - 1028. Let a be c(-12). Solve -q - q = 5*y + 28, -4*y + a*q = o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1.846979 micrograms?\nAnswer: 0.001846979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5307666 divided by -252746.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -231003\/31 - -7452. Calculate the common denominator of f and 71\/744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (372\/155)\/((-4)\/(-23930))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p + 0*p - 2*p + (-2 + 3*p + 2)*(3 - 2 + 3).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 times 2.24?\nAnswer: 78.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 + 6*g**2 + 5*g + 1. Let i be r(-5). Let z(b) be the second derivative of 0 + 4*b - 1\/2*b**2 + 5\/6*b**3. Calculate z(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4148 * -0.256.\nAnswer: -1061.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 39, 37, 33, 27?\n\"Answer: -l**2 + l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 78 = 4*l. Let t = l + 59. Is 33 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -154*w + 2. Let t be (35\/15)\/(-7) - 8\/12. What is the hundreds digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 - 5 = -i + f, -4*i + f + 22 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 376.72842 rounded to 0 decimal places?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9192750 - 3142557 = -177*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 2, -5, -16.\nAnswer: -17, -16, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -0*l. Let m(p) = -p**2 + 0 - 2 + 6. What is the remainder when m(l) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (4 - (2 - ((3 - (-3 - -4)) + -126)))\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of -8*r**7\/21 + 47*r**6\/10 - 407*r**4\/3 + 206*r + 1. Find the third derivative of i(o) wrt o.\nAnswer: -960*o**2 + 3384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 140 - 154. Which is the nearest to 2?  (a) -0.4  (b) g  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -683, -1283, -1825, -2315, -2759, -3163?\n\"Answer: -j**3 + 35*j**2 - 698*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20691347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 5:25 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 141901601591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8255394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*(g**(-9\/7)*g)\/g*g*g))\/(g*g*g**(1\/13))*((g\/g**(-2\/31)*g)\/g)\/g**(-1\/20) assuming g is positive.\nAnswer: g**(-94599\/56420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 36*l**3 + l - 2. Let q be ((-6)\/4)\/((-3)\/2). What is the units digit of t(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3024 and 505008?\nAnswer: 505008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of g**2\/2 + 134. Let l(a) = -77*a. Give l(z(d)).\nAnswer: -77*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 15 = -2*a. Let l(g) = a*g + 5*g + 0*g - 5*g. Let s(z) = z**2. Determine s(l(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 141, 303, 535, 843, 1233, 1711, 2283?\nAnswer: 2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.3  (b) -5  (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-13)\/((-6 - -4) + 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-5*(sqrt(162) - (sqrt(162) + sqrt(162)*2 + 0) - sqrt(162)) + (6*(2*sqrt(162) + sqrt(162)) + (sqrt(162) - 3*(-1 + sqrt(162))))**2).\nAnswer: -248886 - 5994*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 4*m**3 + 3*m**2 - 7*m + 7. Suppose -3*d = 3*q - 33, -9*d + 13*d + 2*q - 34 = 0. Is g(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.3  (b) 0.5  (c) -1\/4  (d) -6423\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 11033814 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*((u*u**(-3))\/u*u)\/u*u)\/u**5)\/(u\/u**(-2\/9)*u*u\/((u*u**(2\/9)*u)\/u)*u))**(-2\/85) assuming u is positive.\nAnswer: u**(18\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1940 is divided by 479.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 2*x - 31, -5*x + 9*x = 12. Let d(s) = -7*s - 5. Let h(r) = 5*r + 6 + 5*r - 2*r + 0. Let m be (3\/(-2))\/(2\/(-8)). Determine m*d(i) + t*h(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -138 + 100. Let a = p - -37.5. What is the nearest to -1\/4 in a, 3\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2514, -9823, -22010, -39069, -60994, -87779, -119418?\n\"Answer: x**3 - 2445*x**2 + 19*x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 641*r + 1. Let h(z) = -6*z. Determine 18*h(i) - 2*x(i).\nAnswer: -1390*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l + 2 + 0*l**2 - 3*l + 2*l**2 - 1 as m*l + y + z*l**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -4 - (-12 - -13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 1\/7, 2\/923, -1.27, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/40 or -26?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4*n - 18 = 0, 0 = -4*j + 5*j + 3*n - 14. Suppose 5 = x - j. Is x + 12\/(-3) + 124 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*i + i + 0*i + (2 - 2 - 2*i)*(-3 + 4 + 1) + i - 6*i + 0*i - 5*i + 4*i + 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.3036 + 0.11354?\nAnswer: 5.41714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - 3*d - 188 + 50, -132*p + 137*p - 2*d - 49 = 50 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 34 = 2*c - 6*s, -4*s - 37 = -3*c. Suppose -3*w + 9 = 5*x, x - 3*x - 3*w = -9. Let l be ((x - 1) + 0)*1. Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 322730 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3889\/3 or 1296?\nAnswer: 3889\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2402, 4790, 7178?\n\"Answer: 2388*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2047886.93 rounded to the nearest 10000?\nAnswer: -2050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 18, -4975 in decreasing order.\nAnswer: 18, 2, -4975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -60*t + 51*t + 63. Suppose q + 12 - 3 = -2*s, 0 = s + 3. Let b = q + t. Solve 5 - 1 = b*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 u, 1 p, and 1 t when four letters picked without replacement from hhpppqntnhtnntnptu?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -16*j**4\/11 - 3882*j**3\/11 - 80500*j**2\/11 - 189600*j\/11 - 8000 = 0.\nAnswer: -220, -20, -2, -5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/7))**(-5)*((k**(-3\/10)\/k)\/k*k)\/k**(-9) assuming k is positive.\nAnswer: k**(639\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 229 and -4.4721.\nAnswer: -1024.1109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -31 - (-27 - (43 - 35))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -1 + 3*c - 11*c**2 - 58*c**3 + 226*c**3 + 0 - 1. Is r(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 3*l + 3*v - 766 = 0, 5*v + 142 = -l. Let s = 279 + l. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -2\/3*c**6 + 0*c + 0*c**5 + 0*c**4 - 1\/3*c**3 + 0*c**2 + 3. Find the third derivative of d(m) wrt m.\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h + 20 = -3*h. Suppose -3*s - 2*g + 1 = 0, s - h*g + g - 15 = 0. Solve 5*j + 22 = s*q, 3*j + 3 = 2*q - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1782 + 0.22.\nAnswer: -1781.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1960 is divided by 394.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (11 - (-33714)\/27) + -10 - (-15)\/(-9). What is the highest common factor of 1300 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.4  (b) -2\/21  (c) -4  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1223 + -153?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 67 - 68. Is (-9777)\/9*(1 - (3 - m)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2012010 (base 4) to base 15.\nAnswer: -2820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2346 - -6?\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 650 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32002 divided by -70.\nAnswer: 16001\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 47 + 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 - 0)*8\/(-6). Suppose 11 = 5*h + 2*j - 17, -j - 25 = -k*h. Solve 0 = 4*q - h*y + 2*y, 4*y = -4*q + 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 - x**2 + x - 4. Let p be w(2). Solve -p*t - 16 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - ((-18)\/3 + 4). Solve 5*f - 8 = w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -34216*g**2. Let f(p) = -21*p**2. What is f(c(h))?\nAnswer: -24585427776*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2*q = -5*d - 30, 9 = -3*d. Let c(n) = -n**3 - 5*n**2 - 3*n + 1. Let k(s) = s**3 + 4*s**2 + 2*s - 1. Calculate q*k(b) + 2*c(b).\nAnswer: b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/3)\/((-782)\/68)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-75)\/((-3375)\/72) - 172\/120. Factor a*o**3 - o**2 + 0 + 0*o.\nAnswer: o**2*(o - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -3*n - 0 - 2, n = -1. Let k be (0 - 0)\/(h + 2). Is 9 - (k + 2 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -68517 greater than or equal to -68517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/((-2)\/(-1))*-2. Suppose -q - q = t. Is (-78)\/q*(-7)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -362 and -17.\nAnswer: 6154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203 is divided by 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -3\/11  (b) -0.1  (c) 1153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1894242 by 6443.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + h**2 - 8*h + 6. Let y be r(0). Solve 12*g + 12 = y*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2815765 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -9c (base 16) to base 4\nAnswer: -2130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/2)\/(3\/104). Suppose 0 = -4*g + z + 8. What is the greatest common factor of g and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 34 and -241.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + 3*w**2 + 6*w - 3. Let c be q(4). Suppose -24 = -c*u - u. Suppose 0*k + 25 = 3*m + u*k, 3*k = 3*m - 39. Solve 5 = -4*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1426 take away 8509241344?\nAnswer: -8509239918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27836.\nAnswer: 2, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100011011011101000010 (base 2) to base 14.\nAnswer: 60b550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of -j**4\/12 - 11*j**3\/3 + 34*j**2 + j + 14. Is 5 a factor of z(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 27676103 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 954327 and 22227.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1\/7, -839790, -3, 0.3 in descending order.\nAnswer: 3, 0.3, -1\/7, -3, -839790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 129, 192, 253, 312, 369?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 1157*w - 253456. Determine j(219).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/((-34745)\/(-5790) - 6). Suppose -6*o - 834 + w = 0. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 54*f - 29*f. Solve f = -9*l - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/1884  (b) -9  (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 3*k - 21. Let f be r(12). Suppose -c = -6*c + f. Solve 5*i - 6*i + c*j = 1, 4 = -4*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -19*h**2 - h - 1. Let u be w(-1). Let k = -9 - u. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-15)*4\/(56\/14)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, e: 6, s: 2, w: 2, m: 6}. Give prob of sequence emw.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3109 + -3000. Solve -v = 10*b - 149 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -368.9 + 367.9. Let i = 287 - 1428\/5. Let l = i + -1. Sort l, 0, -2\/9, n in descending order.\nAnswer: l, 0, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.04 + -1.46. Let p = -0.5 - r. Let j be (9\/(-12))\/((-21)\/8). Which is the third biggest value?  (a) 3  (b) p  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -111, 3, -0.7, 0.1, -5.\nAnswer: -111, -5, -1, -0.7, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 230647013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 7*m**2 + 14*m - 1. Let s(y) = 6*y - 119. Let v be s(19). Let i(g) = -g**2 - 3*g - 1. Let j(t) = v*i(t) - k(t). Determine j(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3575291 days to milliseconds.\nAnswer: 30890514.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206*d + 8 = 104*d + 100*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = -3*t - 27, 0 = 17*h - 15*h - 4*t - 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 291721 by 270.\nAnswer: 291721\/270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*f**3*m - f**3 + 1298*f*m**2 + 224*m**2 - 4*m with respect to f.\nAnswer: -6*f**2*m - 3*f**2 + 1298*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3 - 164\/16*2 and 69\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -4, 0.1, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 121616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -179 + 191. Let q(n) = n**3 - 12*n**2 - 3*n + 35. Let w be q(l). Let s = -6 - -3. Sort s, -2, w in ascending order.\nAnswer: s, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-76)\/(-18) - 4\/18. Suppose w + 49 = m*j, -3*w = -3*j + 24 + 24. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 54 + -50. Let f(w) = w - 6. Let p(k) = -k + 2. Let g(d) = a*f(d) + 7*p(d). Determine g(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 6:18 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 30451 (base 6) to base 3\nAnswer: 12120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 5*z - 13, z = 5*w - 0*z - 21. Let 16\/9*y**3 - 8\/9*y**2 + 2\/9*y**5 + 0*y - 10\/9*y**w + 0 = 0. What is y?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 + (-2068)\/(-55) + -3.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4652437 to the nearest integer?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -105334603764 and -1327?\nAnswer: 105334602437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7031 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (56\/21)\/(-4)*(-1008)\/(-32)*(-8)\/(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of 0*z**3 + 7\/3*z**6 + 0*z**4 + 0*z**5 + 0 - 50*z**2 - 100*z. What is the derivative of l(x) wrt x?\nAnswer: 280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 341*o**6 + 2*o**4 - 8060*o**2 wrt o?\nAnswer: 40920*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 6 = o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -5, 5, -4292?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -2394*a**3 - 56*a - 54*a**4 + 2178*a**3 - 99*a**2 - 6 - 81*a**2 = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 191, 384, 545, 656, 699, 656?\n\"Answer: -3*q**3 + 2*q**2 + 208*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27615617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/15*318\/(-53).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 1, 0.5, 2\/67 in increasing order.\nAnswer: 2\/67, 0.1, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 69 + -49. Let q = k - 18. Which is the nearest to q?  (a) 3  (b) 0.5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**2 - 16*a + 12.\nAnswer: 4*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05 * 266.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 153 + 51. What is the remainder when o is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = -2*u + 42 - 48, 2*u - 15 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*l + 5*p + 72, -2*l + 2*l + 11*l - 4*p = l - 2*p + 120 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 685 and 1.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.0724427868 rounded to 2 decimal places?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddku.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -391*q + 396*q = 2*l - 81903, 4*q = -3*l + 122843. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13754751.\nAnswer: 3, 17, 269701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of -g**8\/784 - g**7\/35 - 39*g**6\/140 - 54*g**5\/35 - 297*g**4\/56 - 81*g**3\/7 - 242*g**2. Factor h(o).\nAnswer: -3*(o + 2)*(o + 3)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i**2 - i**2 - 13 + 18*i**3 - 14 wrt i.\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lpllplpllplplmlpll. What is prob of sequence pp?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, b: 2, t: 2}. Give prob of picking 1 v, 1 b, and 2 t.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -3. Let z = b - -3. Let j be 6\/15 - (-13)\/5. Solve z + j = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 788*u + 792*u - 8 = 0, -4*q + 28 = -4*u for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.6 and -2431.\nAnswer: -1458.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -3082936551 at least -3082936552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4125782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 PM and 7:36 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.086028 decades in centuries?\nAnswer: 0.4086028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -517?  (a) -0.5  (b) -9  (c) 64  (d) 62  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = 3*w + 74, -586 = 2*w + 2*w - 10*p - 500 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 - 16 = -18*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u = -6*u - 8. Suppose a - 4*g - 4 = 0, -4*g - u = 2*a + a. Is 3 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 381 - 377. Solve -3*i + 5*n = -t, -3*n + 31 = 5*i + 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32095 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -78*y - 141. Let f be u(8). What is the least common multiple of 104 and (-3741)\/(-36) - (f\/108 + 7)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6813720, -13627506, -20441292, -27255078?\nAnswer: -34068864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 3*p = -5*f - 140, -2*p = -f - 51. Let u(x) = 5*x**2 - 2*x - 1. Let w be u(-2). What is the greatest common factor of w and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.382878 rounded to 2 dps?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 49660380 by -45.\nAnswer: -1103564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 24571, 49140, 73709, 98278, 122847, 147416?\n\"Answer: 24569*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2*u**3\/9 - 3632*u**2\/3 + 846720*u + 2407449600 = 0.\nAnswer: -1032, 3240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and 41.22.\nAnswer: 40.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.344139 micrograms in kilograms?\nAnswer: 0.000000000344139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10012 + 22?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 8 = -5*j. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1338 a factor of 9493015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -55 - -274\/5. Suppose 10 = 2*h - 3*h - 3*u, -12 = 4*h + 5*u. Put j, h, 3 in ascending order.\nAnswer: j, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(2 + 6*(sqrt(1216) - (sqrt(1216) + 5 + sqrt(1216) + 0) - sqrt(1216)))*2)**2*-5.\nAnswer: -3517760 - 107520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -30204403 (base 5) to base 8\nAnswer: -727114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - f + 1. Let q(y) = 3*y - 526*y**2 - 2 + 527*y**2 - y. Let j(o) = -q(o) - 2*s(o). Let x(z) = 160*z**2. Give j(x(a)).\nAnswer: 25600*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 946*b**3*k**3 + b**3*k - 186*b**3 - 455*b**2*k**3 + 2*b*k**2 + 74*b + 5*k**3 + 3 wrt k.\nAnswer: 5676*b**3 - 2730*b**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.7169 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + -590*154\/(-11440)?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 352304 and 84584.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.3674 to one decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 less than -69699.970196?\nAnswer: -69651.970196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -626 - -630. Let d(a) be the second derivative of 2*a + 1\/4*a**v + 0*a**2 - 1\/40*a**5 + 0 - 3\/4*a**3. Factor d(o).\nAnswer: -o*(o - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**5\/4 + 33*w**4\/2 + 941*w**3\/4 + 564*w**2 = 0. What is w?\nAnswer: -47, -16, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 12 = 2*w. Let p(i) be the first derivative of i**3\/3 + 5*i**2\/2 + i + 1. What are the prime factors of p(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-26)\/(-104))\/((-5)\/40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -2*r**2 + 11*r + 11. Let z be w(9). Let s = z - -83. Let v = 32 + s. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rbguggu. What is prob of sequence uug?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*g + 8*g = 3*g - 559 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 0*x + 3*x - 17 = 0, -5*o + 3*x + 1 = 0. Let c(l) = l**3 - 4*l**2 + l - 2. Let z be c(4). Suppose -72 = -o*f - z*f. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/8)\/(o*o**(2\/21)*o))\/((o\/(o**(-1)*o))\/o**(-7))*(((o\/(o\/o**(2\/21)*o))\/o)\/o)\/o*o*o**(-2\/9)*o**(1\/7)\/o**2 assuming o is positive.\nAnswer: o**(-7537\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**5\/60 - 7*s**4\/8 + 5*s**3 - 96*s**2 - 1. Let o be l(-22). Sort 5, 0, o, -2 in decreasing order.\nAnswer: o, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (80 - 16 + 4)*(4 + 2 + 0)*(0*l + 2*l - l) as f*l + v and give f.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 3*g**5\/5 - 162*g**4 + 35307*g**3\/5 + 549816*g**2 + 2075760*g = 0.\nAnswer: -36, -4, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (2 - (5 - (-7 - -10)) - -10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3*j - 9. Let g be k(-3). Let s be -1*(g + (3 - 3)). Suppose -6*z + 2*z + 700 = s. What is the greatest common factor of z and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 9) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 519 and 47 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and ((-4)\/5)\/((-4)\/170).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 5*k - 5. Let d(g) = g - 1. Let r(u) = -33*d(u) + 6*t(u). Let v(j) = -j**2 - 4*j + 4. Let z = -63313 - -63310. Calculate z*v(x) + 4*r(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -11\/83, -43, 87 in ascending order.\nAnswer: -43, -11\/83, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 93511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 722442 (base 8) to base 3.\nAnswer: 110010200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1575)\/(-60) + -24)*(122\/(-6) + 3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -6.5. Let b = -17.9 + 13.9. What is the smallest value in b, g, 2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -3*g**3\/2 - 2*g**2 + 132*g. Let r(u) = -19*u - 9. Calculate -5*p(l) + 2*r(l).\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 8338.232t?\nAnswer: 8338232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004069588 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 868239?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**3 - 45*a**2 - 45*a + 4051. Calculate v(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - 6*r - 6. Let o be t(-1). Are o and -3\/196 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -6*r - 3. Let n = 2291 + -2289. Let w(j) = -j - 1. Calculate n*w(t) - i(t).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -432619*b + 432621*b + 1 - 1.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 4. Let k(c) = 1 - 2*c + j*c + 2. Calculate k(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g**2 - 38*g - 39. Let b be f(-17). Suppose 0 = 3*m + b*m - 512. Let s(i) = 27*i**3 - 2*i**2 + i. What is the least common multiple of s(1) and m?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92360623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 5*x**3 + 7*x**2 - 147*x - 16. Is h(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.367 take away -82832799630?\nAnswer: 82832799625.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -2\/71  (c) -0.1  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -370\/627 + 16\/33. What is the nearest to -1\/5 in -0.2, 2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0126469 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 166571 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1687, -1690, -1703, -1732, -1783, -1862, -1975, -2128?\nAnswer: -2327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.27 + 26.73. Let k = -21 + p. Let n = -59\/15 + 13\/5. Which is the third biggest value?  (a) -2  (b) n  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ewxwx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 51819 = 4*i, -q - 2*i = -0*q + 17283. Let n = q + 36938. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -2*v**5\/15 + 2*v**4 + 202*v**3\/15 - 2*v**2 - 40*v\/3 = 0?\nAnswer: -5, -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -169*j + 47. Let o(x) be the third derivative of x**6\/120 + x**5\/60 - x**4\/8 - x**3 + 26*x**2. Let a be o(0). Is u(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (178\/(-979))\/((-4)\/(-11)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of 8*b**7 + 7*b**3 + 2*b - 89. What is the third derivative of a(m) wrt m?\nAnswer: 6720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 759283098 is divided by 244.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of b**7\/42 + 13*b**6\/24 + 13*b**5\/6 - 65*b**4\/6 - 100*b**3 + b**2 + 15*b + 6. Solve a(s) = 0 for s.\nAnswer: -10, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2891 and 1909383.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -47 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -725.584006 rounded to one dp?\nAnswer: -725.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2119486 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1021030023 (base 4) to base 3.\nAnswer: -120020020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19023 - 152181\/8. Which is the fourth smallest value?  (a) 4  (b) 0.01  (c) 2  (d) v  (e) -22\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nlnwllnll. What is prob of picking 3 l and 1 w?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - ((-6 - -8) + -5 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c - 11. Let d be f(8). Suppose -9*m + d*m = -2212. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5280\/66*((-6)\/(-12) + 0). Suppose -n = 3, -2*g + 9 + 8 = n. Calculate the greatest common divisor of g and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11637 divided by -24883\nAnswer: 11637\/24883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5168 + 5171. Find u such that 0*u + 3\/5*u**4 - 3*u**2 + 0*u**d + 12\/5 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n - 8. Let j = -9 + 5. What is the remainder when (-76)\/95*10\/j is divided by b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -636\/486775?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 25, 5*q = 4*x - 6*x + 6035. Suppose -k + 17 = -3*c, 23 = -4*k - 4*c + 123. Calculate the remainder when k is divided by (-2)\/7 + q\/91.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5051 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d**2 + 2*d - 5. What is the tens digit of n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*5*((1*sqrt(78))\/sqrt(6) + (sqrt(78) + -1*sqrt(78) + sqrt(78))\/sqrt(6)) + 2 + 2.\nAnswer: 4 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*x + 3*x, -2*x = -3*d - 15. Let s = 2 - d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2502, -9942, -22340, -39696, -62010, -89282?\nAnswer: -121512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 - 4*b**2 + b - 3. Let i be x(4). Let y be i\/(1\/(-3))*-1. Solve -o - 1 = w, 9 = -w - 8*o + y*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-17)\/(102\/60) + (0 + -4)*2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -698, -697, -696, -695, -694?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -132, -199, -266, -333?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of 3*b**5\/20 - 2*b**4 + 169*b**3\/6 + 14*b - 1. What is the second derivative of o(y) wrt y?\nAnswer: 18*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 21*c + 1. What are the prime factors of y(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 3 - (-4 - -8)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 168.0298mg in kilograms?\nAnswer: 0.0001680298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1153864?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e + -23aa02?\nAnswer: -23a9e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6, -15, -10, 15, 66?\n\"Answer: f**3 + f**2 - 19*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**4 - 1 + 1)*(-363 - 329 + 187).\nAnswer: 1010*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 43, 116, 225, 364, 527?\n\"Answer: -l**3 + 24*l**2 + 8*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 277895 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 451457*t + 4966038. Determine v(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -9, -6.\nAnswer: -9, -8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 4.1. Let j be 54\/4*10\/15. Let o(m) = -m**3 + 9*m**2 - 2. Let x be o(j). Which is the nearest to x?  (a) 0.1  (b) 2\/3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 946, 1895, 2844, 3793?\n\"Answer: 949*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000170916367 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (102\/8 + -16)*-4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 530 a factor of 1856017600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 + 8*m + 8. Let n be g(9). Does 2 divide n - (-17 + 12\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 561*m**3 + 4 - 125*m**3 - 4.\nAnswer: 436*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - 9. Let f = -150 + 603\/4. Put g, 2, f in ascending order.\nAnswer: f, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -457*v + 24 = -456*v. Suppose 936 - 24 = v*s. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 384*i - 432. Let q(t) = -t + 1. Calculate -2*m(l) - 864*q(l).\nAnswer: 96*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2341, -4699, -7053, -9403, -11749, -14091, -16429?\nAnswer: -18763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -41 - -60. Let g = o - 20. Let v(h) = -h**3 + 9*h**2 + h - 9. Let t be v(9). Sort g, 4, t, 3 in ascending order.\nAnswer: g, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(28\/6) - (-120)\/(91560\/(-30193)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2133 + -2133. Let k(o) = o**2 + o + 1. Let u(f) = 5*f**2 + 7*f + 9. Let g(h) = 6*k(h) - u(h). What is g(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21220000033 (base 4) to base 3\nAnswer: -11202012010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((5 - 2)*(-20792)\/(-12))\/(150\/75) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 5:46 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -142480 divided by 13?\nAnswer: -10960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 227 divide 70511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 73840603 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 150073 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 6 = -p, 1946*p = 1945*p + 2*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 2:49 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 9*c**3 - 271*c**2 + 332*c - 1034. Determine n(29).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*3 - (-4 - 1767). Let v = 46079\/26 - n. Let r = v - -1051\/104. What is the common denominator of 87\/10 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 57214  (c) -4  (d) 0.1  (e) -38  (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1905, -8062, -18323, -32688, -51157?\n\"Answer: -2052*t**2 - t + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25084*b - 25086*b - 25087*b + 75259*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 85697562 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ivwiwqyhihiy. Give prob of sequence vyhi.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 0.06427  (c) 2\/7  (d) -2\/3  (e) -5  (f) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5276430001 to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 300.58958 rounded to 0 dps?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10320411233 (base 5) to base 9.\nAnswer: 22808026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 237 a factor of 374223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1084?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 12:30 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -1. Let u(o) = -o - 28. Let p(i) = -i + 25. Let g(d) = -5*p(d) - 4*u(d). Is 12 a factor of g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11458987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - 5*w**2 + 4*w + 2. What is the units digit of u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37307 - 2*s - 37310 + 74633.\nAnswer: -2*s + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/(-30) - 4\/12. Put 9, 0.5, -4\/3, t in decreasing order.\nAnswer: 9, 0.5, t, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 3:35 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/12 + 111*b**2\/4 + 324*b + 963.\nAnswer: (b + 6)**2*(b + 321)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1181*x + 160382 = -1877*x + 1581 - 49143 for x.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2552 times -0.24792\nAnswer: -632.69184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of -3\/8*y**4 + 1\/15*y**5 + 0*y**7 + 0*y**6 + 0*y**3 - 7\/24*y**8 - y + 0 - 68*y**2. Find the third derivative of c(m) wrt m.\nAnswer: -5880*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 28*s - 37368 + 8518 = 0. List the prime factors of s.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62*i**2 + 114*i**2 + 179*i**2)*(-1 - 3 - 1)*(1 + 3*i - 1).\nAnswer: -3465*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 PM and 5:24 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-18096)\/130*(-20)\/6. Is 464 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2568*x - 2574*x + 222 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -10*(-1)\/(-4)*-2. Solve 0 = -5*l + 4*m - 7, -2*l = l - 2*m + w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -2\/19  (b) -47  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 6*r**2. Let f(h) = -h**2 - 4*h - 2630. Calculate f(c(w)).\nAnswer: -36*w**4 - 24*w**2 - 2630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 - 5*p**2 - p - 245. What is j(0)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5 - (6 + -1 + 2). Let n be ((-2)\/(-2))\/(3\/(-201)). Sort b, n, 0.\nAnswer: n, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) - 3*(sqrt(17) - (-1 + sqrt(17))) - sqrt(272)*-1)*6)**2 - (sqrt(153) + 2 + sqrt(153) + (sqrt(68)\/sqrt(4))**2 + 1).\nAnswer: -1086*sqrt(17) + 15604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13051 - -13177. Calculate the highest common factor of d and 7875.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(1377) - ((sqrt(1377) - (-2*sqrt(1377) + 0)) + sqrt(1377)))**2 + ((sqrt(1377) + -3 - sqrt(1377))*1)**2).\nAnswer: 74412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of a**6\/600 - 4*a**5\/75 - 7*a**4\/24 - 3*a**3\/5 + 9*a**2 - 2. Suppose m(z) = 0. Calculate z.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -1.0197242.\nAnswer: -3.0591726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13874, -27354, -40450, -53162?\nAnswer: -65490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*o + 6*h - h, 0 = 2*o + 3*h + 11. Suppose 2 = -2*p - 4. Let m be (2 + p)*3 + 0. Sort -1, m, o in ascending order.\nAnswer: o, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, 3, -52 in descending order.\nAnswer: 3, -1, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20 - -26. Let x(b) = -28*b + 170. Let a be x(u). Factor -10\/9*s**3 + 2\/9*s**4 + 0 + 16\/9*s**a - 8\/9*s.\nAnswer: 2*s*(s - 2)**2*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 94 - 31. Let o = 67 - b. Solve -o*i - 12 = -0*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*f**2 + 229*f**2 - 103*f**2 + 2*f + 136*f**2 + 175*f**2.\nAnswer: 369*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1853 - 1827. What is the greatest common factor of l and 1261?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-114*b**2 - 1954 + 1954)*(b**2 - 4*b**2 + 4*b**2).\nAnswer: -114*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1))**(17\/4)*((v**(-1\/3)*v)\/v)\/v*(v**5*v)\/v*v*v**(3\/8)*v**(1\/2)*(v\/v**(-1\/6))\/v**(1\/2) assuming v is positive.\nAnswer: v**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-13 - -54) + -2*1. Let r be -312*(-5 + (0 - 45\/(-10))). Calculate the highest common factor of r and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11534 = 2*o - 11544 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - k + 6. Suppose 3*l = -2*l. Suppose 3*u - 53 = -t, 0 = -2*u + 6*u + 5*t - 78. Calculate the remainder when u is divided by j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - f - 2, r - 2*f + 7*f - 26 = 0. Let l be (102\/10)\/(-3) + (-242)\/(-605). Does 27 divide (-246)\/(-4) - l\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-7))\/(3\/54*3)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 + f**2 + 2*f - 3. Calculate i(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/9 + (-2)\/(-2). Suppose -3*a = 4*i - 5, -i + 6*i - f = -2*a. Solve 2*z - 5 + a = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1724.6 rounded to the nearest ten?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 14*s - 30 = -12*s, 3*j - s + 18 = 0. Let d be 2*j\/(-8)*6. What is the greatest common divisor of d and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of p**8\/6720 - p**7\/1260 + p**5\/30 - 3*p**4\/8 + 6*p**2. Let l(d) be the second derivative of g(d). Is l(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t + 3*t + k + 24 = 0, 1816*t - 1811*t - 3*k = 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -8*d + 2. Let w(a) = 7*a - 15. Let n(j) = -8*j + 11. Let m(g) = -3*n(g) - 2*w(g). Let x(q) = -3*c(q) - 2*m(q). Let i(r) = 44*r**2. What is i(x(s))?\nAnswer: 704*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (0\/3)\/(-3)*137\/274\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-142)\/(-8) - 3\/(-12) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42385 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 1 + h + 35*h**4 - h**2 - 36*h**4 + 0 to i*h**2 + q + f*h**3 + o*h**4 + g*h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-182)\/20 + 6 + (-2 - 189\/(-90)). Which is the nearest to 3\/10?  (a) -1\/4  (b) m  (c) 2\/121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*l**4*s + 379*l**2*s*x + s*x + 3814*x wrt l.\nAnswer: -20*l**3*s + 758*l*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 4649566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 59*d - 51*d. Let y(v) be the first derivative of -5\/3*v**3 + d*v - 3\/2*v**4 + 0*v**2 + 3. Find the third derivative of y(r) wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 21, 4, -2, 5 in decreasing order.\nAnswer: 21, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11302 (base 4) to base 16.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -28 + 22 + 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -184*c**3*i**3*o - 2*c**3*i*o + 8*c**2*i**3*o - 36*c**2*i**3 - i**3 wrt c?\nAnswer: -1104*i**3*o - 12*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 - 8 = 2*b. Let i(j) = 6 + 183*j - 95*j - 86*j + 5*j**2. Calculate the remainder when i(-3) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fc when two letters picked without replacement from {c: 3, f: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 41550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42.19 + 42. Let s = -0.01 + g. Sort s, -2\/11, 0.4 in ascending order.\nAnswer: s, -2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*n - 0*p - 4*p, -9 = -n + 4*p. Find the first derivative of 24*x**4 - 13 - 14*x**4 + 3 + n wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2531, -2537, -2555, -2591, -2651, -2741?\nAnswer: -2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 311954575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 19 - -326c60?\nAnswer: 326c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d**2 + 4*d. Let q(m) = -3*m**2 - 1 - 614*m + 5*m**2 + 622*m + m**2. What is 7*j(s) - 4*q(s)?\nAnswer: 2*s**2 - 4*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -14 - 1. Suppose 5*p + 3*i + 16 = 5*i, 5*i = -2*p - 18. Let x(b) = b - 11. Let d be x(8). Sort p, s, d in descending order.\nAnswer: d, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165000065?\nAnswer: 5, 1153, 28621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of 0 + 20*i**2 + 0*i**3 + 0*i**4 - 1\/12*i**5 + 0*i. Let v(a) = 3*a. Calculate w(v(p)).\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -9, -2, -249, 5.\nAnswer: -249, -9, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v**3 - 1870*v**2 + 2758935*v = 0.\nAnswer: -953, 0, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = -5*y + 29, 0 = -2*y - j - 32 + 43 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k + 2. Let j(r) = -2*r**3 - 4*r**2 - 2*r + 2. Let c be j(-2). Let d be v(c). Let x be (6\/4)\/(3\/d). Sort -4, 1, x in ascending order.\nAnswer: -4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*d + 3*t, d = 3*t + 3 + 2. Suppose 4*y - 4 = 2*y, d*f + 2*y = 44. What is the smallest common multiple of 3 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 9, 2, 1 in decreasing order.\nAnswer: 9, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*q - 5*g, 2*q - 7*q + 3*g = -4. Find the first derivative of w + 2*w**4 + q - w**4 - w wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 4*v + 203 = -29, 444 = -4*u + 3*v. What is the lowest common multiple of u\/(-14) - (-24)\/84 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4152 is divided by 216.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - l = -5, -16*k + 188 = -2*l + 128. Factor 2\/5 + k*w - 93\/5*w**2.\nAnswer: -(3*w - 1)*(31*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36163 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1\/3 - ((-672)\/18)\/(-7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 279 - 2374?\nAnswer: -20c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21102*u**4 - 9*u**2 + 8889291*u wrt u.\nAnswer: -253224*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/(o**17\/o)))\/o*o**(-1\/20) assuming o is positive.\nAnswer: o**(299\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -5*d - 2*z, -4 = 5*d - 3*z - 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 1443*p - 7. Let x(a) = -5775*a + 31. Calculate -18*c(y) - 4*x(y).\nAnswer: -2874*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 368?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11907 and 546?\nAnswer: 309582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9090405 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/36  (b) 23\/5  (c) 235\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1211730 by 717.\nAnswer: -1690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1709 and -0.4.\nAnswer: -1709.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 646785?\nAnswer: 3, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 61080393 and 3338.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i\/(i\/(i*i**9*i)))\/i))\/i**(-29\/2)*(i**38*i)\/i*i*i**(-8) assuming i is positive.\nAnswer: i**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -281  (b) -0.6  (c) 313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 53*o**2 - 5*o + 5. Let q(s) = 25 - 14 + 0 + 3*s - 13 - 23*s**2. Let f(n) = -5*q(n) - 2*y(n). Let g(m) = 2*m. What is g(f(v))?\nAnswer: 18*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49, 4, 0, -1, 107, -4 in descending order.\nAnswer: 107, 4, 0, -1, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 3*p - 52. Let h be a(18). Suppose -522 = -3*o - 9*d + 4*d, -4*d - 370 = -h*o. List the prime factors of o.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 39.93284 + -4.27265. Let h = 35.69119062 - o. Let s = h - 0.031. What is s rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from ossooosoaqosao?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-350)\/1225*(-35)\/(-60))\/(15\/(-20)*-23).\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 26413685 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1543810584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3470*s - 4742*s - 32848 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 15\/75 - 698\/(-10). Suppose -g + 2*g - 23 = 4*b, 4*b - u = -2*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000101001 - 100111011111001100?\nAnswer: -100111001110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 - -10 - -14) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.298306 rounded to 2 dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -310, -300, -270, -208, -102, 60, 290?\n\"Answer: 2*f**3 - 2*f**2 + 2*f - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -5*w + 10, 2*w = -l + 2*l. Let s be 24\/9 + l\/6. Find the first derivative of -7*c**s + c**2 + 4*c**2 - 6 + 3 wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4858803 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + p + p + (4 - 1 - 1)*(3 - 2*p - 3))*(3 - 4 + 0).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 12:17 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -j**7\/14 + 3*j**5\/10 - j**3\/2 - 3*j - 1. Let v(i) be the first derivative of s(i). Factor v(y).\nAnswer: -3*y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 - 9*h**2 - 42*h - 4. Calculate the least common multiple of 45 and m(-6).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20972 = -93*o + 370*o + 799*o - 34980 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 150488 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-161868)\/(-2132) + -76)\/(1\/(-3))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*q**2 + 18*q**3 - 88*q**2.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -480?\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -117\/2  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5.73 + 6. Let m = 0.02 - o. Let v = m + 0.05. What is the second biggest value in 0, v, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.234 take away 1061.8?\nAnswer: -1064.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2072\/(40 + 16) - -10?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + -5*sqrt(117)*-1 + sqrt(117))\/(sqrt(27)\/sqrt(3)*-3) - ((-1 + sqrt(1573))**2 + ((2*sqrt(13)*3 - sqrt(13)) + sqrt(13))**2).\nAnswer: -2042 + 59*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4 = 3*p. Let v be 2\/(-1*p\/3). What is the second derivative of i - i - i - 2*i**v wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-231)\/28)\/(9\/(-48)) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*s**3 - 17*s**2 - s - 21336.\nAnswer: -18*s**2 - 34*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -8\/5  (b) 2\/7  (c) -208  (d) -3  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7 - (-2)\/4*(-42 + 34). Solve 3*t - r*p + 3 = p, 3*p = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*s**2 + 66*s**2 - 95 + 32*s**2 + 95.\nAnswer: 119*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16236\/109593)\/((-200)\/45).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 1 - 2)*(-8*k - 5*k + 2*k) - 21*k - 59 + 59 in the form j + l*k and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 - 119148*z + 4. Let m(l) = 15*l. Give k(m(h)).\nAnswer: 225*h**2 - 1787220*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -3*m + 2. Let v be (-6*(-4)\/(-16))\/((-36)\/60 - 0). Let j(k) be the second derivative of 0 + 11*k - v*k**2 + 7\/6*k**3. Give 2*j(n) + 5*x(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*d**3 + 0*d**3 + 15*d**3 - 134*d**2.\nAnswer: 7*d**3 - 134*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-77)\/(-385))\/((-2)\/(-140)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/2832 and 52\/1971249.\nAnswer: 31539984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -29. Suppose m - d = -m. Let q(f) = f + 1. Let v be q(6). What is the highest common factor of m and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 4*y + 38676. Let t(z) = -3*z. Give t(j(q)).\nAnswer: -12*q - 116028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3022?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.365 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-4600)\/(-14000) - (-2)\/20\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 133*n - 796. Let h be f(6). Factor -12\/7*s + 0 - 4*s**h - 16\/7*s**3.\nAnswer: -4*s*(s + 1)*(4*s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 2695.\nAnswer: 1347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xwv when three letters picked without replacement from vvwvjwwwwvhwhjwvxvvj?\nAnswer: 49\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from {x: 1, c: 6, w: 2, q: 3}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1570 - 0.9663\nAnswer: -1570.9663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -305523 (base 8) to base 11\nAnswer: -6a043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 121*0.079631.\nAnswer: 9.635351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 + 2 + -59 - -13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 498080 divided by 2264.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8144 + 49432. What are the prime factors of u?\nAnswer: 2, 3, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 59 - 58.99938. What is z rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 3*d - 12, -464 = -3*y - 5*d - 444. Let m(t) be the second derivative of 1\/2*t**3 - 2*t - 3*t**2 + 1\/4*t**4 + y. Factor m(o).\nAnswer: 3*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10\/700)\/(102\/45). Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5334827?\nAnswer: 23, 163, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4\/30)\/((-34)\/(-153)))\/1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*u + 2 - 5*u + 2*u**3 - 4*u**4 + 62*u**2 - 60*u**2 in the form a*u**4 + x*u**2 + f*u**3 + h*u + i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/2 - 66*x + 2835\/2.\nAnswer: (x - 105)*(x - 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1*((-2*sqrt(242) + sqrt(242))*-5 - (sqrt(242) + -3 + sqrt(242) + 1)))**2.\nAnswer: -132*sqrt(2) + 2182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 150365.\nAnswer: 5, 17, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -2 - 22. Suppose -v = -4*v + j. Let w = -1194478\/9 + 132724. Which is greater: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 + 43 - 29 = -b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -23393.1 times -89?\nAnswer: 2081985.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 2426.661ug?\nAnswer: 0.000002426661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93 = 4*d - 53. Let s be d\/(-20)*(1 - 15). Let o = s + 20. Calculate the lowest common multiple of 11 and o.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -414, -417, -420, -423, -426, -429?\n\"Answer: -3*g - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 26 = 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1955 greater than -9815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19)\/532*4)\/((80\/42)\/(-5))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -3*m - 8, 5*m + 5*b + 3 + 2 = 0. Let j be m\/(-6) - (-13)\/(-12). Suppose -f - 2 = f. Put f, j, 1\/2 in increasing order.\nAnswer: f, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 193, 189, 185, 181?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence odmo when four letters picked without replacement from otomootmmotdoomsdss?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 9*t**2 - 26*t + 205. Calculate d(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.1+1161\nAnswer: 1160.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-1 + sqrt(162))*3*-2.\nAnswer: -54*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -7*i**3 - i**2 + 6*i - 4. Let r(w) = 6*w**3 + w**2 - 5*w + 3. Suppose -u + 2*a = u + 8, 4*u - a + 19 = 0. Let p = -5 + -1. What is p*r(l) + u*f(l)?\nAnswer: -l**3 - l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/16 and (0 - -63)*(-434)\/3255?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 101 + -300. Let n be v\/(-2) + -2*2\/8. Which is greater: 98 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tdqt when four letters picked without replacement from {q: 1, z: 4, t: 2, d: 1, a: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144035 is divided by 47902?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 98, 752, 2504, 5900, 11486?\nAnswer: 19808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -404 + 359526*h**3 - 1086512*h**3 + 404.\nAnswer: -726986*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 100542755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 0 + 202*c + 1 + c to u + q*c and give q.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 4 - 4)*(2 - 6 + 3)*(2 - 7113*s**2 + 3234*s**2 + 3878*s**2 + 640*s**4) to the form z*s**4 + r*s**3 + a*s**2 + t + p*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0657433 and -0.1.\nAnswer: -0.00657433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 + 75 = -4*f - 5*r, -3*r = 4*f + 121. Let q be (36\/8 - 7)\/(2\/f). Calculate the greatest common factor of 21 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 214 + 1\/2*-2. Let y = d + -1487\/7. Let w be 1\/(-1) + 1\/3. What is the nearest to 1 in y, 0.3, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 5, -1, -3, 22 in ascending order.\nAnswer: -11, -3, -1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -298.30009.\nAnswer: -1491.50045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*h**3 + h**3 + 3*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 992873.\nAnswer: 7, 29, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 681645 and 200?\nAnswer: 27265800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 217 + -225. Put 5, -3\/7, 3, m in increasing order.\nAnswer: m, -3\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -7389, 4, -5, 5 in ascending order.\nAnswer: -7389, -5, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -q - m - 1, 0 = -3*q - 2*m - 2. Suppose -4 = -u + 5*z - q, -5*u + 44 = -z. List the prime factors of (-2)\/u - 191*(-6)\/54.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2697*f**5 + 334*f + 5 wrt f.\nAnswer: 53940*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2538.464 - -2539. Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1f352 (base 16) to base 12\nAnswer: -61b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of o**4\/12 + o**3\/3 + 3*o**2 + 3*o. Let u be p(0). Let h = -1 + u. Solve 15 = -h*n, 5*n + 11 = r + n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of -j**5\/20 - 5*j**4\/12 - j**3\/6 + j**2 - j - 14. Let g be ((-1)\/(2\/(-20)))\/(33 - 35). Calculate k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*b**3 + 65*b**3 + 58*b**3 - 635*b**3 + 66*b**3 + 392*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 841220 is divided by 8498.\nAnswer: 8416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-428 - 117*k + 121*k + 825 + 403)*(-3*k**4 + 5*k**4 - k**4).\nAnswer: 4*k**5 + 800*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -313302295 divided by 1\nAnswer: -313302295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -1 - i**2 + 1 + 227*i**3 + 228*i**3 - 459*i**3. Suppose -10*o = -2*o - 8. Let t(s) = -s**3. Give o*p(k) - t(k).\nAnswer: -3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*b - 57 - 128 = -66 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, j: 2, f: 1, m: 2, w: 1, l: 4}. Give prob of sequence jtlm.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 958992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*z + 53*z - 1480. What is the remainder when z is divided by (5\/2 - 2)*24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6403?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5167693558 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do -7 and -674 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a**4\/10 + 3*a**3\/10 - 3*a**2\/10 - 7*a\/10 + 3\/5 = 0. Calculate a.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 6:33 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 60*f - 123. Let q be v(2). Let p be (-16)\/104 - 205\/195*q. Solve -p*j + 4 = -0*d + 2*d, -2*d = -10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -21*s**2. Let b(q) be the second derivative of 37*q**4\/3 + 19*q. Let h(r) = -3*b(r) - 20*p(r). Let t(w) = 3*w**2. Determine h(t(c)).\nAnswer: -216*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -641886 by -5394.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 63, 226, 657, 1488, 2851, 4878, 7701?\nAnswer: 11452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -6, -5, 0 in descending order.\nAnswer: 0, -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 9*k + 5. Give b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 61.4333 to 0 dps.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 1. Suppose 0 = m + p - 12, -17 = d*p - 5. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15901?\nAnswer: 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 26 - (-1 + 14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23394738.\nAnswer: 2, 3, 19, 163, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/10 and 49\/18810?\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + 2*z + 3*z)*(-6*z**4 + 34*z**4 + 10*z**4).\nAnswer: 76*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - 33) + -20 + 1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/18600 and -31\/400?\nAnswer: 37200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-10) + 2 + (-64)\/(-5). Factor 6*z**2 + 15*z - 18*z**2 + w*z**2.\nAnswer: 3*z*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.61 in 3, -0.6, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = t + 3*y - 73, t - 38 = -2*y. Let s = -42 + t. What is the remainder when 57 is divided by 20*5\/30*(-12)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**3 + 6*g**3 - 4*g**3 + (0*g**2 + 0*g**2 + 2*g**2)*(-3 + g + 3) + 0*g**3 + 13*g**3 + 0*g**3.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-258)\/(-9)*807\/538\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1218, -1027, -822, -597, -346, -63, 258?\n\"Answer: u**3 + u**2 + 181*u - 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 362204 and 1017829.527.\nAnswer: 1380033.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5214718177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 3)*(-3 + 1 + 3)*(5*w**2 + 0*w**2 - 2*w**2)*(-w + 2*w**3 + w).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5857 + -11512. Calculate the common denominator of ((-86)\/(-80) + -1)\/(1044\/y) and -119\/144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - 15905.\nAnswer: -15909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03*11054.2.\nAnswer: 331.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 4*q + 3. Let n be f(3). What is the third derivative of 44*j**6 + 5*j**2 - 22*j**6 - n*j**6 wrt j?\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 45*f**3\/4 - 3495*f**2\/4 - 1180*f - 395 = 0. Calculate f.\nAnswer: -2\/3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12765682 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -36031*a + 324314. Give p(9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that r**3\/2 - 1987*r**2 + 7942*r - 7940 = 0.\nAnswer: 2, 3970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + -2. Let b = t + 7. Suppose 0*h = -v + h + b, -8 = -5*v + 4*h. Is v not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 7*g + 8 = -2*b, -7 = 4*b - 5*g. Suppose -25 - 7 = -b*d. Solve -5*x + d = -4*n, -2*x - 2*n = 3*x + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 182 - 194. Calculate the remainder when 12\/(-8)*j\/(-18)*-269 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 3:19 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, o: 9}. Give prob of sequence odo.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 0.3, 1\/4, 301, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + 3*y - 3*y)*(5*y + 2*y**3 - 5*y)*(1 + 1 - 8).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.065 in -1\/4, -0.3, -1.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 153*j**3 - 68*j**2 - 72*j + 357. Let l be k(-57). Round l to the nearest one hundred thousand.\nAnswer: -28600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 135.7 + -136. Let f = 33.4 - 33. Let n = 4 - 3.5. What is the fourth biggest value in b, f, n, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 4286*v - 4 - 4120*v)*(9 - 5 - 14 + (-1 - 3 + 3)*(4 - 2 - 1))*(0 - 3 + 1) - 3*v + 3*v - 2*v - 2*v + 1 - 1 to u*v + c and give c.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 80774*b**3*o + 6*b**2*o + 353*b*o wrt b.\nAnswer: 484644*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-37)\/((-5698)\/66)*(-7)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6309 rounded to the nearest one hundred?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 70472491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 103 - 17 = 5*a, 58 = 4*a - 3*q. Solve -a*i = 4 + 60 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*g + 14 = 34*g. Let w(z) = -71427*z**2 - 21*z - 14. Let v be w(g). What is v rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 62844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 + 5*w**2 - 5*w + 6. Suppose 4*x = -2*n + 14, -5*x + 4 = -3*x + 4*n. Let h be y(x). Let z(v) = 4*v. What is the units digit of z(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/7))**12*(l*l\/l**(-2\/3)*l)\/l**(-13\/4) assuming l is positive.\nAnswer: l**(1013\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uckkuucukk. What is prob of sequence ukkk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1155, 2549, 3945, 5343, 6743?\nAnswer: 8145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*k**3 - 2*k**2 + 2*k**3 + 4*k**2 to u*k + t + v*k**3 + s*k**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jcjcmcjmxcjcmjj. What is prob of picking 1 j, 2 m, and 1 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2 + 7*c**6 - 11*c**6 - 19*c**2 - 2 wrt c?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35774 and 136172?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 4*c = 0. Suppose c = -17*h + 14*h. Solve h = 3*z - 0*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 105639078 to the nearest integer?\nAnswer: 10278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3732024749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mnnm. Give prob of sequence mmn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h + 2*h + 3*h)*(5*h**3 - 9*h**3 - 1 - 10*h**2 + 2*h**3).\nAnswer: -4*h**4 - 20*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 47872 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13415 or -147572\/11?\nAnswer: -147572\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-617136)\/(-260) - 4\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98*c - 2*c**3 - 98*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22.552 - -22.2. Let q = i + 0.552. Let z = -3 - -7. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 2\/3  (b) 0.01  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58.19266 years to millennia.\nAnswer: 0.05819266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from mmgggmgdmgdgggdddgg.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 23383322 divided by 7?\nAnswer: 23383322\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 4*f - 36, -34*k + 50 = -38*k + 3*f. Is ((-20392)\/k)\/((-12)\/(-42)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 31*r**2 + 4*r + 119. Let o be x(-31). Suppose 2*y - 5 = 1. Let u(n) = -6*n + y*n**2 + 5*n - 7*n + 0 + n**3 - 7. Give u(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 PM and 3:08 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 151 + -155. Let y = 596 + -595.7. Which is the fourth smallest value?  (a) 2\/9  (b) 9\/4  (c) f  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 10:02 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110111110001101010101 (base 2) to base 15.\nAnswer: -2617e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1347 + 621?\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -52*r. Let i(b) = 4*b. Calculate x(i(k)).\nAnswer: -208*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 111 and 424892164?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-15)\/75 + (-272)\/(-10). What is the second smallest value in -4, t, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 4 = 2*r. Let a(q) = 56*q**2 + 33*q**r - 6*q**2 + 4 + 8*q + 50*q**2. Let v be a(-4). What is v rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*w = -11*w + 31063 - 4393. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-51)\/(-9) + 2\/(-3). Suppose -2*j = -j - q, -2*n = -j - 101. Let d = n + 11. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7.2, -399, -4?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*q = 50*q - 58 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + -13. Let f = 219 + d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of 3*s**3\/2 + 91*s**2\/2 - 75*s. Let g be l(-11). Let k(d) = d - 3. Calculate k(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*z + 1)*(-2 + 2 + 2*z**3) - 2*z**3 + 2*z**3 + 2*z**4 - z + 7*z**4 + 66607*z**3 + 22 - 66607*z**3.\nAnswer: 13*z**4 - z + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) + 1 + -3)**2.\nAnswer: -24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9793700 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45, 290, 699, 1266, 1985, 2850, 3855, 4994?\nAnswer: 6261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 6161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -75\/829406 or 1?\nAnswer: -75\/829406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 82248*h + 8. Suppose 3*y + 4*m - 9 = -0*y, 5*y - 5*m = -20. Let s be 1 + (-7 - -4)*y. Let v be q(s). Round v to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 213, 1036, 2471, 4512, 7153, 10388, 14211, 18616?\nAnswer: 23597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 6, 5*d - 4*d = -4*z + 338. Let a(q) = -210*q. Let k(s) = 15*s. What is z*k(b) + 6*a(b)?\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a30 (base 13) in base 9?\nAnswer: 8353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192) - -5*(3*sqrt(192))**2.\nAnswer: 8*sqrt(3) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7942, -16106, -24460, -33016, -41786?\nAnswer: -50782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**3 - 7*t**3 + t**3 + (22*t**2 - 33 + 66 - 35)*(-3 + 5 - 4)*(2*t - 5*t + t).\nAnswer: 78*t**3 - 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -1 + 2*o + 1 - 1. Let n be (-10 + (-477)\/(-54))*-6. Calculate i(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 = 4*y + y. Let o = 32 + y. Suppose 0*q + 5*q - o = -2*r, 0 = -4*r + q + 42. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand v - v - 2*v**2 + (-3*v**2 - 4*v**2 + 4*v**2)*(21 + 17 + 13).\nAnswer: -155*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 = 13*t + 271. Let j be (-4)\/t - -12*66\/21. Suppose 2*b = 5*z + j, -b - 5*z + 28 = -3*z. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of -37*w**4\/2 + w**3\/3 - 112*w**2. Let u(b) = -3*b. What is u(i(h))?\nAnswer: 1332*h - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 - r**2 + r - 4. Let v be y(0). Sort v, 0.1, 3 in decreasing order.\nAnswer: 3, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51937, 103883, 155835, 207793?\nAnswer: 259757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1200\/(-2625) + 9\/((-126)\/16)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 - 1 - (-4 + 7). Suppose r = 3*u - u - 44. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 35*h - 1175. Calculate the smallest common multiple of 2312 and c(36).\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 5:43 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.2 - -7.9. Let z = 3 - c. Let s = -2.51 + 6.51. Sort 0, s, z.\nAnswer: 0, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(3\/(-2))*(-6)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 3)*(-17*d**4 + 95*d**4 - 4*d**4).\nAnswer: 370*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 193890 and 56200.\nAnswer: 3877800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 + 11*y**2 + 434*y + 32. Let j be f(-16). What is the closest to j in 30, 1, 2\/3, 3.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8008796 + -195.5?\nAnswer: -8008991.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -9.4 and -0.013.\nAnswer: -9.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40960 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.1 minus 699?\nAnswer: -657.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 2\/(-5)*4 - (1191262\/145)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 265 + -258. What is the greatest common divisor of q and 973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -253931797*a**2 - 430815*a - 81 wrt a?\nAnswer: -507863594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 21*v**2 - 5*v + 220. Let t(i) = 43*i**2 - 11*i + 438. Let y(x) = -7*d(x) + 3*t(x). Differentiate y(c) wrt c.\nAnswer: -36*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1204 - 562?\nAnswer: -2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iphhxiddhih. Give prob of picking 1 h and 2 d.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -465\/7 - -66. What is the nearest to -124 in 5, z, -4, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 659 + -21713\/33. Let n = 601\/231 - l. Let r = -14 - -17. Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of 153\/2*o**2 - 202 + 154*o. What is the first derivative of y(d) wrt d?\nAnswer: 153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (15*(-27)\/180)\/(-30*(-6)\/(-24))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14366, 14289, 14212, 14135?\nAnswer: 14058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -55.56 to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a35b9 - -a30?\nAnswer: -1a2989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - q + 194 = 0, -2*q = -3*q + 5. Suppose 3*j = 2*r + m, j - r - 4*r - 50 = 0. What is the remainder when j is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3654400 to the nearest ten thousand.\nAnswer: -3650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000668675152 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 633.6043 centimeters to meters.\nAnswer: 6.336043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0, -0.07617, -2, 113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 732\/90 - (-2)\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -14910, -17827, -22688, -29493?\n\"Answer: -972*n**2 - n - 13937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -0*y + 48. Let l be (-19)\/(-38) - (0 + (-23)\/(-2)). Let o(b) = -b**2 - 11*b + 6. Calculate the lowest common multiple of y and o(l).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -11 - (25\/(-125) - 4578\/(-15)). Is t <= -1269\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ysp when three letters picked without replacement from yopyoooyyyssp.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3605*y - 2199*y - 1537 + 1050*y - 2519 wrt y?\nAnswer: -4754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -120, -280, -514, -828, -1228, -1720?\nAnswer: -2310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 100049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 123437221.\nAnswer: 2\/123437221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10538, 84596, 285722, 677456, 1323338?\nAnswer: 2286908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 11.2, 2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of 7*r**6\/360 - r**5\/40 - r**4\/12 - 30*r**3 - 61. Let t(g) be the third derivative of v(g). Determine t(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -6. Let g = -8 + s. Let d = 2 + -1. What is the second smallest value in g, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(240)\/((sqrt(10) - ((sqrt(70)*-1 - sqrt(70)) + sqrt(70))\/sqrt(7)) + sqrt(10)))\/(sqrt(360)\/sqrt(5) - -5*(sqrt(8) - 2*sqrt(8))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**3 + k**3 + 2*k**3 - 3*k)*(-4*k**2 - 5*k**2 + 12*k**2 - 4).\nAnswer: 3*k**5 - 13*k**3 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -290639*g*o**3*y**2 + g*o**2*y**3 - 101*g*o**2*y**2 + 3*g*o*y**3 - 2*g*o + 48*g*y**3 + 94*o**3*y**3 + 2*o**2 - 2*y**2 wrt o.\nAnswer: -1743834*g*y**2 + 564*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*g + 2*g, 4*q - 5*g + 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 12*r + 16. Let m be w(-23). Let g = -271 + 10. Is m greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.3 + -1.6. Let d = -0.1 + r. Let h = -12 - -7. What is the biggest value in 3, d, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -686 - -2749\/4. Factor 0 - z*l**2 + 15\/4*l.\nAnswer: -5*l*(l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 4*y - 26. Is r(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26002 - 51898 = 5*o - 25971 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + 4*v**2 - 3*v + 1. Let o be n(3). Let a be (3 - o - -16)\/(-1). Let m be 16\/90 + (-4)\/a. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*v = -142 - 43 - 25 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/6 + 0)\/(2\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or -122\/8227?\nAnswer: -122\/8227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 2*t = -0*s - 8, -5*t + 3 = -s. Suppose 679 = -s*g + 6117. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/20 or -0.524687?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/9*30\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*t - 9*t + 6*t**2 + 7*t**2 - 6*t**2 to h*t + x + m*t**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**0)**(-49)\/(k\/k**6*k*((k**0\/k)\/k*k)\/k*k))\/((k*k**(2\/7))**(-47)\/(k*k**3\/k*k*k*k**(-6\/11)*k*k)) assuming k is positive.\nAnswer: k**(1762\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 123 + -123.63. Let q = 1.3 + a. Let i = 0.6699929 - q. Round i to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, h: 1, b: 2, d: 1}. What is prob of picking 2 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1821957 to the power of 1\/2, to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 PM and 4:23 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -9675*i + 4008. Let k(z) = 2418*z - 1001. Let v(u) = 15*k(u) + 4*l(u). What is the derivative of v(r) wrt r?\nAnswer: -2430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28211512 + -421\nAnswer: -28211933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*s + 1251 + 3913 - 478 = 0 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.264 + -2.736. Is i < 241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 AM and 11:28 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2495265 rounded to two decimal places?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/7 and ((-88)\/(-32))\/(716\/16)*(-7)\/98?\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r - 32*r + 4*r)*(-10 + 9*r + 10).\nAnswer: -288*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -17966 (base 10) in base 7?\nAnswer: -103244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1128, 1063, 962, 825?\n\"Answer: -18*z**2 - 11*z + 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 53*r**3 - 6*r**2 - 6*r + 3. Let m(q) = 156*q**3 - 17*q**2 - 16*q + 8. Let p(h) = 4*m(h) - 11*o(h). Calculate p(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35496 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100221120102001 - 201?\nAnswer: 100221120101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 + 6*w**2 + 9*w - 12. Let i be s(7). Factor 32\/5 - 16\/5*b + 2\/5*b**i.\nAnswer: 2*(b - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**3 - b**2 - 4*b. Let j(v) = 5*v**3 - 2*v**2 - 9*v. Let p(n) = -14*h(n) + 6*j(n). Let w(k) = k**2 + k. Determine -p(r) + 2*w(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 161 + -161.001045. What is b rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240768 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 - 11. Let v(x) = 2*x - 4*x + s*x. Let w(z) = -86 - 17*z + 33 + 23 + 30. Calculate w(v(a)).\nAnswer: -34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 8*f**3 - 3*f - 17. Let i(r) be the first derivative of -7*r**4\/4 + r**2 + 16*r - 3575. Calculate -4*g(v) - 5*i(v).\nAnswer: 3*v**3 + 2*v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 15 = q, 3*q + 3*k + 0 + 30 = 0. Let f be -1*(1 + -2)*12\/(-4). Let t(h) = h**3 - 4*h**2 + h - 1. Let y be t(4). Sort q, y, f.\nAnswer: q, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 77298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**2 + 2*v**2 - 3*v**2 - 55*v**3.\nAnswer: -55*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 48.26579 + -0.26579. What is the closest to -1\/2 in l, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 8:09 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 226636 (base 7) to base 15.\nAnswer: c14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -70, -139, -206, -271?\n\"Answer: m**2 - 72*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 69.04 + -67. Let l = 0.04 - k. Let t = 5 + -5.3. Which is the third biggest value?  (a) -0.2  (b) t  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 + l - l)*(5*l**2 - 8*l**2 + 20*l**2).\nAnswer: 17*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 58643341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3757*w**4 - 188*w**2 + 45262588 wrt w.\nAnswer: 15028*w**3 - 376*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -67 + 67. Suppose 3*a - 472 - 4374 = 5*k, c = 2*k - 4*a + 1944. Round k to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d**2 + d**2 - 19*d + 4 + 17*d as k + f*d**2 + v*d and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 176, 419, 698, 1031, 1436, 1931, 2534, 3263?\n\"Answer: 3*z**3 + 222*z - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -139 + 143. Suppose 0*s + s - 3*v = -1, -2*v = -4*s - o. Which is the second smallest value?  (a) 3  (b) 1.1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 9, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 197793641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 31872736.\nAnswer: 286854624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6504 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -30*u**2 - 57*u**3 - 88*u**3 + 29*u**2 + (3 - 3 - u)*(u**2 - 5 + 5) - u**2 + u**2 - u**3 - 8*u**3 - 5*u**3 - 4*u**3.\nAnswer: -164*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 206377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 42*b + 1165. Give i(-27).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-20)\/(-6))\/(1\/(-3)). Let x be ((-24)\/(-15))\/((-2)\/c). Let s = -10 - -14. What is the highest common factor of s and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -87 + 106. Suppose -18 = -4*n + 2*t + 3*t, 5*n - 20 = 5*t. Solve n*y = 4*g + g + 4, 5*y + 2*g = -d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from zfzffffffffzfffzfff?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 23319, 23332, 23367, 23436, 23551, 23724, 23967, 24292?\n\"Answer: 2*o**3 - o**2 + 2*o + 23316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19013382 is divided by 20848.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - -2a91a122?\nAnswer: 2a91a119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 5*g - 2*g = 31, 32 = 3*u + 4*g. Let r = 29\/84 - 2\/21. Let 0*t**2 - r*t**5 + 0*t**u + 0 + 1\/4*t**3 + 0*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 1:33 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x + q + 26, -292 = -10*x + 10*q - 32 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 4  (c) -24  (d) 5  (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/15)\/((-2)\/3). Let k = -0.035065 + -0.064935. Sort 0, -12, k, p in decreasing order.\nAnswer: p, 0, k, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 100\/(-18)*288\/160*(-1)\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.29 + 0.15. Let o = m - -0.09. What is the second smallest value in o, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 2 + 8*l**3 + 14*l**4 - 5\/2*l - 21\/2*l**2 = 0?\nAnswer: -1, -4\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -75*f**5 + 1989*f**4 - 11103*f**3 - 7821*f**2 + 11178*f + 5832 = 0.\nAnswer: -1, -12\/25, 1, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 12*a**2 + 3*a + 9. Let l(o) = o + 18. Let i be l(-3). Let b be u(i). What is the units digit of (-1 + 0)\/(b\/(-144) + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -5*c + 17. Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236 a factor of 5723746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 59.37482 millilitres?\nAnswer: 0.05937482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 5. Let p = 4 - 1. Let s = p + -8. Put s, g, 0.1 in decreasing order.\nAnswer: g, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11290991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 81 + -75. Solve s*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -368 + 379. Let d = -17 + 26. Let h = d - -2. What is the highest common factor of j and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33344 and 2175696?\nAnswer: 8702784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4536\/(-91) - 1\/(13\/2). Let g = p + 166. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40073 is divided by 229.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2\/3 - 2396*o\/3.\nAnswer: 2*o*(o - 1198)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 428*p + 40*p**4 + 428*p - 855*p + 120 wrt p.\nAnswer: 160*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 276785746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/78331 or -94\/3?\nAnswer: -94\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87, 68, 39, -6, -73, -168, -297, -466?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 + 37 = 4*a + 5*x, 0 = -2*a - 3*x + 22 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 803*n**5 - n**2*u**3 - 17*n*u**3 + 9*n*u - 2*u wrt n.\nAnswer: 16060*n**3 - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.337 + 4.603. Let i = -4.8 + j. Let x = -2\/119 - -248\/595. Which is the fourth smallest value?  (a) i  (b) x  (c) -4  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -3595*f**2 + 37*f + 24. Let r(k) = 1198*k**2 - 14*k - 9. Determine -8*r(t) - 3*w(t).\nAnswer: 1201*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 3, v: 13}. What is prob of sequence vmvv?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 899917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1192822\/215 + -5548. Which is the smallest value?  (a) k  (b) 2  (c) -1  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1008 divide 4664318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 344, -1821 in increasing order.\nAnswer: -1821, 2, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2063.284 litres?\nAnswer: 2063284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/4 + (-276)\/(-16). Let f = 27 - y. What is the units digit of 2\/4*(62 + f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*m + 5. Suppose m + 7 = k - 5*i, 4*k + i = -48. Let q = k - -18. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-6) - ((-37)\/74)\/1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/((-28)\/8))\/(23\/(322\/196))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6516 and 92672?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 456*h - 229*h - 31 = 228*h, p + 155 = -5*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-58*q**2 - 73*q**2 + 159*q**2)*(4 - 13*q + 2*q + 14*q) to the form j*q**3 + z*q + w + r*q**2 and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 33938985061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and -1.36?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 85*z**2 - 84*z + 5. Give u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 295327973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.12 in 56, 1\/5, 2118?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4549?\nAnswer: 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432)*-1 + 3 - (-3 + sqrt(432) + 1))**2 + (2*(sqrt(6)\/sqrt(2) + sqrt(3)) - (sqrt(300) - sqrt(300)*3)).\nAnswer: -216*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152 + 163 + 170 - 24*h**2 - 13 - 634 + 162.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18235281 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 949*u + 202. Is s(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 153664\/5 - 784\/5*m + 1\/5*m**2.\nAnswer: (m - 392)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of g**3*x**2 + 704*g**3 + 261*g*x**2 + 2*g*x wrt g?\nAnswer: 6*g*x**2 + 4224*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.4 - -0.4. Let x = -17 - -17.4. Let o = -65 + 65.5. Which is the third biggest value?  (a) m  (b) o  (c) x  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -3*n**3 + 132*n**2 + 273*n + 138 = 0.\nAnswer: -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44088 and 4699046.\nAnswer: 3674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -143 in -0.1, -5, -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 PM and 4:55 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/10 at most -736292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -455, 34, -4, 1 in increasing order.\nAnswer: -455, -4, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*f + 38*f - 35*f)*((-2*f**3 + f**3 + 4*f**3)*(5 - 3 + 1) - f**3 + 2*f**3 - 3*f**3 + (-2 + 2 + f**2)*(5*f - 4*f - 2*f)).\nAnswer: -108*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -76 - -107. Suppose i - 8 = z, 0 = -4*i + 3*z - 0*z + b. Let l be (-5)\/15 - i\/(-3). Solve 0 = -5*u - 4*s + 9, -3*s - l = -5*u - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -91, 3, 2, 32 in increasing order.\nAnswer: -91, -1, 2, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a + 5*j - 57, 0 = -2*a - 44*j + 46*j - 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.016912286 rounded to 5 decimal places?\nAnswer: -0.01691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 10*j**2 - 3*j. Let g(n) = 2*n. Give g(z(c)).\nAnswer: 20*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 724*h + 103*h**3 - 177*h - 193*h - 177*h - 39*h**3 - 178*h.\nAnswer: 64*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 132, 242, 362, 498, 656, 842, 1062, 1322?\nAnswer: 1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11416 is divided by 290?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -4*q**3 + 6*q**2 + 5*q - 13. Let l(h) = -3*h**3 + 7*h**2 + 6*h - 14. Let r(f) = -6*l(f) + 7*t(f). List the prime factors of r(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 356*x**2 - 356*x**2 + 35*x**3 + (0 - 2*x**2 + 0)*(-2*x + 7*x + 0*x)*(3 + 0 - 1).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-774)*-43*13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 364?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - r = -12. Suppose -5*s + 3 - 8 = 5*c, 4*s - 5*c - 32 = 0. Find the first derivative of j**r + 0 - 2 - j**4 - s*j**4 wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(1\/29)*(f\/(f\/(f**(-4\/11)\/f))*f)\/f*(f\/f**(1\/31))\/(f*f**(-1\/23)*f))**(-2\/43) assuming f is positive.\nAnswer: f**(599520\/9780221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -12. Let k(c) = c**3 + 5*c**2 + 4*c + 1. What is k(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/189*(-49)\/315*-9.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 + 6*t - 3. Let b be z(5). Suppose -5*j = -b*i - 0 + 28, -i + 4*j = -20. Let o = i - -3. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 3*t - 23 = -4*t, -2*v + t = -13. Suppose -2*l - 240 = -v*l. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 5*g - 6, 0 = 4*c + g + 3*g. Let v be -2 + 0*(28\/8)\/7. Let i be (c\/v*0)\/3. Solve j = -d + 6*d, -5*d = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*r + 2*j + 26, 5*r - 3*j = -52. Let q be ((-4)\/(-3))\/((-2)\/27). Let n = r - q. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -14  (b) 17  (c) -2\/5  (d) -2\/17  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -27*c**3 - 3*c**2 - 2*c + 2641.\nAnswer: -81*c**2 - 6*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 - -14. Suppose 0 = -n*d - 0*d + 16. Suppose -d*l = x - 5*l - 1, -3*x - 4*l + 10 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 327 divide 257860087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 714.9 - 786. Let h = s + 71. Which is the third biggest value?  (a) 3  (b) -1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -12, 4*g = 2*w + 8*g + 16. Let z be 3 - (18\/12 - w). Which is the closest to z?  (a) -3  (b) 2  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1120956203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from ataa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 76 - 54. Suppose -5*k + 45 = 2*l - 35, 0 = k - l - 9. Calculate the lowest common multiple of k and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 873984 and 210630144?\nAnswer: 210630144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17279 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(0 + 2\/8). Suppose -5*v = -4 - m. Let a = -213939 - -213947. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100998 plus 0.067?\nAnswer: 1100998.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6114*u + 19 + 1931*u - 19.\nAnswer: -4183*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5e0d04 (base 15) to base 8.\nAnswer: 21145612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 19*n + 3240 = 0. What is the remainder when n is divided by 60?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-207)\/12 - 2\/(-8). Suppose 115 = -4*w + 3*u, w - 4*u = 14 - 59. Let z = p - w. Solve 0*s + 4*s = z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -4*p**3 + 2*p**2 - 2*p - 1. Let b(k) = 7*k**3 + 9*k + 10*k**3 - 2 - 9*k**2 + 7. Let q(n) = -4*b(n) - 18*x(n). What is the derivative of q(g) wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -28*k**3 + 7*k - 37. Let u(c) = -14*c**3 + 3*c - 18. Let z(r) = 3*q(r) - 7*u(r). Differentiate z(g) wrt g.\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*o - 5*b - 28, 0 = 5*o - 3*b + 6 - 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -43503 and -133.\nAnswer: 5785899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 133 + -13. Suppose 3*c + 4*k + a = 0, -3*c + 2*c - 2*k = 38. Let o be (-60)\/25 + 2 + c\/(-10). What is the highest common divisor of o and 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 n, 1 r, and 1 q when four letters picked without replacement from xrxnnzrrrnnqxnznr.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 3*c - 7. Let o be i(2). Is o greater than or equal to 6\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.131 plus -1.8?\nAnswer: -1.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -114, -8\/19, -2\/9, 0, -4, 35 in decreasing order.\nAnswer: 35, 0, -2\/9, -8\/19, -4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1499505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 12:52 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/5  (b) 8128  (c) 3  (d) 5  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 15 - 3*p**2 + 25*p - 8 + 2*p**2 - 21. Does 16 divide b(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 1, -5, 27535, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/10795136 and 123\/77440.\nAnswer: 53975680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 566126 and 874922.\nAnswer: 9624142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j**2 - 23245*j = 0 for j.\nAnswer: 0, 4649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4058, 4056, 4054, 4052, 4050?\nAnswer: 4048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 373485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -3*m - 16, 5*i + 10 = 5*m + 25. What is the third derivative of -13*u**3 - 10*u**3 + 8*u**2 + i*u**3 wrt u?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 283*((-2)\/(-6) + (-10)\/(-15)). Suppose 277*t = l*t - 36. Suppose 2*v - 18 = -v. Is v < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83243152 to the power of 1\/3, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 6*t + 7. Let b be (-6)\/27 - (-6)\/27. Let p = -5 - b. Calculate the lowest common multiple of v(p) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-1 - (-5 + 9) - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by -2\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 16*u. Let l(a) be the third derivative of a**5\/30 - 12*a**2. Give l(t(k)).\nAnswer: 512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**0\/l*l\/(l*l**(-3\/5)*l))**13 assuming l is positive.\nAnswer: l**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i + 1600 - 537 - 533 - 532. Suppose f - 2*o - 2*o = -14, 3*o - 22 = -5*f. Determine g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6806.997t?\nAnswer: 6806997000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1\/3))**31*p**(2\/17)*(p*p\/(p*p*p**(-2\/3))*p)\/p*p assuming p is positive.\nAnswer: p**(1145\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3823406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.5 + 2. Let p = -503 + 2514\/5. Which is the second biggest value?  (a) -4  (b) i  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 269 - 268. Solve 0 = 3*p - 5*h + b + 1, 0 = -4*p + 4*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2 + g + 1. Let t be u(-1). Is 2*(t*10 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 16*n + 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -246*p - 26 = 3*v - 248*p, 2*p - 6 = v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 82080 and 1701.\nAnswer: 5171040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**3 - 39*q**2 + 153*q - 189.\nAnswer: 3*(q - 7)*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.04 != 9.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*v**4 + 2*v**4 + 0*v**4 + (3*v**3 - 3*v**2 + 3*v**2)*(-3 + 3 - v) + (0*v + 7*v**3 - 2*v - 5*v**3)*(13*v + 3*v - v).\nAnswer: 25*v**4 - 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 + 33*g**2 - 458*g + 1049. Determine i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 1 + 2)*(-1 - 4 + 3) - 2 + 4 - 3 - 6 + 4 + 1 + (0 + 0 - 1)*(-4 + 2 + 4))*(-2*m - m**4 + 2*m).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 12:57 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -348 - 216. Let a be (-1 + i)*175500\/(-91). What is a rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**15\/(o*o\/(o\/o**(5\/8))*o))\/(o*((((o\/o**(-1\/14))\/o)\/o)\/o)\/o*o*o\/(o\/(o**(-7)*o))))**49 assuming o is positive.\nAnswer: o**(7567\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -f + 163, 0 = -f - 26*g + 28*g + 143. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 151*f**2 + 158*f**2 - 310*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + r = -248, -2*r + 34 + 80 = 2*d. List the prime factors of d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1366172000 to the nearest 1000000.\nAnswer: -1366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 v, and 1 c when four letters picked without replacement from {t: 1, v: 9, q: 5, c: 1}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*d - 5 = 2, -12 = -4*d. Let s be ((-3)\/9)\/(1\/(-3)). Let z be ((3\/10)\/(-3))\/s. Which is the third biggest value?  (a) z  (b) k  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + 1)*(23 - 23 + 13*k**2 + (5 - 5 - 1)*(96*k - 96*k + 4*k**2) + 2*k**2 - 2*k**2 + k**2) in the form r + c*k + d*k**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19922046605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 72\/4*(-2 + 18 + 0). Suppose 0 = 8*x + 8*x - j. Calculate the remainder when 50 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -153460 (base 8) to base 2.\nAnswer: -1101011100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 5*j**2. Let x be d(-1). Suppose -22 = x*k - 52. Suppose -n + 3*v = -12, -5*n + v - k*v = -80. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + 212130023?\nAnswer: 212130100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-72506)\/7)\/(4\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 16. Suppose 0 = -0*z + l*z. Suppose 40*o + 9 = -51 - 20. Sort -5, o, z.\nAnswer: -5, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 579, 564, 549?\n\"Answer: -15*w + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*g**4 + 4*g**4 - 4*g**4 + (-2 - 3 + 4)*(0*g**4 + 0*g**4 + g**4) + 0*g + 0*g + g**4 + g**3 to the form n*g + l*g**3 + z*g**2 + x + h*g**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10212000 rounded to the nearest one hundred thousand?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -25*b**2 + 1325*b - 61. Calculate r(0).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6132534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 74d89 (base 15) to base 6\nAnswer: 11541133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4940 and 1710.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/571?  (a) 2.065  (b) 1\/4  (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of -n**5\/60 - 2*n**2 + 70. Let l(t) = 2*t. Let h(a) = a. Let u(y) = -4*h(y) - 2*l(y). Calculate u(s(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 62 + 126 - y**3 - 115 + 93*y**4 + y**3 with respect to y.\nAnswer: 372*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24414, -95150, -212206, -375582, -585278, -841294?\nAnswer: -1143630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1041\/5 + -206. Let i = n - 107\/35. Suppose -2*j = -3*b - 3*j - 4, -4*b - 5*j = 9. Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 335087, 335011, 334935, 334859?\nAnswer: 334783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 8991.66 nanometers?\nAnswer: 0.00000899166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80 and 74362240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 7, b: 2}. Give prob of picking 2 n.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 - 1) + (-142 - -117).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -5*b. Let m(c) = c. Let x(v) = -g(v) - 3*m(v). Let a(d) be the first derivative of 4*d**3\/3 + 274. Give a(x(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 9 = 7*u. Suppose 0 = u*x + 74 - 80. Solve x*h + 25 = -3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.149 + 297.149. Let n = -294 + l. Put 2, n, -177 in ascending order.\nAnswer: -177, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + (-1 - 16 - (472 - 465))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13288254 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 73473 + 21*d**2 - 73473 - 14*d in the form t*d**2 + n + z*d and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -262 + 22 = 120*o. Put 8, o, -24 in decreasing order.\nAnswer: 8, o, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 513, 717, 741, 495, -111, -1167?\n\"Answer: -15*k**3 + 309*k + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1345*r + 88*r**3 - 1345*r + 15*r**3.\nAnswer: 103*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 4\/9, 29.\nAnswer: 4\/9, 8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000311223166 to 7 dps.\nAnswer: -0.0003112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22.61*18.\nAnswer: 406.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -155*f + 155*f + 19*f**2 + (1 + 1 - 4)*(f - f + f**2) + f**2 + f**2 - f**2 + (-5 + 6*f + 5)*(-3*f + f + 0*f) in the form b*f + y*f**2 + v and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 467892?\nAnswer: 467892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = -4*l + 4*v, 94*v - 89*v + 34 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-15)\/4 - -3) + (-78)\/(-8). Solve 4*x - 35 = -5*s, -2*x - x = -2*s - u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16254, 19975, 23708, 27459, 31234, 35039, 38880?\nAnswer: 42763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3500 and 225.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/(1*sqrt(128)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 411581\/62 + -6638. Calculate the common denominator of 71\/16 and j.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 3*n - 64 = 0, -2*f + 3*f = n + 14. Let q = 54 - 51. Suppose -q*g = -0*c + 2*c - 353, 3*c + 15 = 0. Calculate the highest common factor of f and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -7*w**2 + 13*w. Let i be (-315 - -314) + (2 - -1). What is j(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10166\/1275 + -8)\/(340\/(-50) - (-10 + 3))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/10*(-460)\/828)\/(1100\/(-240))\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -6*f + 174. Suppose 34 = -s + 62. Let v be m(s). Solve z + 3 = 5*k, z - v = 3*z + 3*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**3 + 2*m**3 + m**3 + (-2*m**3 - 2*m**3 + 2*m**3)*(2 - 1 - 2) - 4*m**3 - 46*m**3 + m**3.\nAnswer: -46*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.8 - -8.8. Let w = -5 + s. Which is bigger: w or -1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -400*t - 8507 + 699 = 576*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k - 7*k + 10*k + 5*k + 10*k - 3.\nAnswer: 20*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 204.247\nAnswer: 204.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4832 and 2224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 5*n + 18 - 17*n - 4.\nAnswer: -12*n + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 11\/3 + 10\/(-15). Suppose -103*b = -97*b - 30. Solve 2 = b*h - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -44.4 + -0.03.\nAnswer: -44.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51281 is divided by 1384.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 1049, 21 in ascending order.\nAnswer: -5, 4, 21, 1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 367, 609, 1297, 2665, 4947, 8377, 13189?\nAnswer: 19617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.058460601 rounded to 3 dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/27876 and -64\/2501871.\nAnswer: 10007484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -311*j**6 - 7*j**2 + 822*j**6 + 8*j**2 + 273*j**6 - 155 wrt j.\nAnswer: 94080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -7*c**3 - 6*c**2 + 1. Let q(n) = -2*n - 16. Let i be q(-5). Suppose -5*y - 13 + 18 = 0. Let s(u) = -u**3 - u**2. What is i*s(r) + y*m(r)?\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09 - 8166946575671.\nAnswer: -8166946575671.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16\/(-48) - 10\/(-3). Solve 1 = m*w - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14517 and 1804203.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.3 - -77.3. What is the fourth smallest value in -5, 3, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2 = 4*o, 2*u - o + 3 = 10. Let k = 0 + 3. Suppose -33 = -k*n - 9. What is the remainder when n is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from hsgyf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60.3 - 32251587.\nAnswer: -32251647.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.209847cm to millimeters.\nAnswer: 42.09847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 14960, 29941, 44924, 59909, 74896, 89885, 104876?\n\"Answer: s**2 + 14978*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2010 = -9*m + 375. Let s = m + 414. List the prime factors of s.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 146368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*c - 7 = 43*c. Let l be (-21)\/(-7) + 0 + 1 - c. Solve 0*j - 12 = -l*p - j, 0 = 2*p - 4*j - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 21*j + 18*j - 939 = 0, 3*y + 2*j + 937 = 0. Let d = 625\/2 + y. Suppose p = -2*p - 3. Which is the closest to d?  (a) 2  (b) -0.3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 162 - 170. Let l(u) = -488*u - 23. Is l(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -11410412204?\nAnswer: 11410412212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 PM and 5:23 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 66161 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: What is the greatest common factor of 2048 and 1616?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 3*b**2 + 2*b. Suppose -389*d + 392*d + 37 = -26. Let i(n) = -3*n**3 - 9*n**2 + 7*n. Give d*w(s) + 6*i(s).\nAnswer: 3*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 743\/12 - 151\/3. Let n = 3169\/3390 - -94\/113. What is the common denominator of n and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/1*(-2)\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -3. What is the third derivative of -q*h**2 + 0*h**5 - 5*h**2 + 4*h**2 + h**5 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z**4 - 966 + 1024 - z**4 - z**2)*(z - z - 2*z).\nAnswer: -6*z**5 + 2*z**3 - 116*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/2)*b*b**(-1\/4)*(b**(-5))**(4\/3))**(-14) assuming b is positive.\nAnswer: b**(455\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gggkvawgakggagaggaa. What is prob of picking 2 g, 1 v, and 1 k?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*-11*30\/(-3465)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-68)\/(-102))\/(1 + (-145)\/135)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -20  (b) -3320  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 86027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t + 23 = k - 3*t, 3*t = 2*k - 20. Calculate the smallest common multiple of 117 and k.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2047870302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 172512.8118 nanoseconds?\nAnswer: 0.0000000002852394375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -212250 + 4?\nAnswer: -212242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**4\/5 - 120544*l**3 - 3616234*l**2\/5 + 4218956*l\/5 = 0.\nAnswer: -301354, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 292894758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-121660)\/(-1995) - -2*(-1)\/3. Let g = s - 60. Let 4\/19*x - 4\/19*x**3 + 0 + 6\/19*x**2 - g*x**4 = 0. Calculate x.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 14 + -9 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1958 + -1856. What is the remainder when 187 is divided by r?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - (1 + -4 - (35 + -6 + 5))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 103, 246, 447?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -4*y**4 - 2728*y**3 - 211248*y**2 + 97979112*y + 695278836 = 0.\nAnswer: -411, -7, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4072 and 22.\nAnswer: 44792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*v = 54*v + 106. Suppose -3 - 3 = -2*h. Suppose 0 = h*f + 2*f. Sort v, f, 5, -2 in increasing order.\nAnswer: -2, f, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -31?  (a) 0.171  (b) 9  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.151404  (b) -0.2  (c) 7920\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*i**4 - 48 + 47 - 3*i**4)*(-4*i - 2*i + 3*i).\nAnswer: -9*i**5 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 5 + 11 = 0. Suppose 0 = q*d - 1202 + 268. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnlnnnnnnnlnnnnnnnn. What is prob of sequence ln?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223275661.\nAnswer: 7, 31896523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -587640*h**2 + 293836*h**2 + 293832*h**2.\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1099526 and -0.0277?\nAnswer: 30456.8702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*h - 23*h = -3*k + 11, 5*h + 3*k = 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122472 is divided by 59578.\nAnswer: 3316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 506 - 360. Suppose 0*t - m = -4*t - n, 2*t - 5*m = -82. Let y = t - -56. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - ((-1 + 0 - -10) + (-66 - 10 - -99))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1031, 3873, 8537, 15023, 23331, 33461?\n\"Answer: 911*o**2 + 109*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**4\/d**0)\/(d*d**1)**(-25) assuming d is positive.\nAnswer: d**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5937332 and 1236?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9607 + -4726. Let y = 7155 - g. Let s = 3755 - y. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 12:20 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9\/6)\/((-9)\/(-696)). Let p = b + -4. What is the highest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*t + 452 = -89*t - 131 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.0549 + -2.6451. Sort 3, -4, 4, b in descending order.\nAnswer: 4, 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -1.01. Let j = -0.39 + l. Let f = 332.357 + -331.957. What is the closest to -1 in j, 8\/7, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -256, -518, -782, -1048, -1316, -1586, -1858?\n\"Answer: -r**2 - 259*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4551*z - 392*z**2 + 1593848762 - 1593848762 wrt z?\nAnswer: -784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 1:25 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 14 = 7. Let b be (-4 + j)\/((-1)\/(-3)). Factor -1 + b*m - 8*m - m**3 + m**2 + 0.\nAnswer: -(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i + 1. Suppose -6 = -3*b + 3*k, -4*b + 5*k - 5 + 17 = 0. Let f(u) = -2*u. Calculate b*r(m) - 3*f(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 + -6 - 0) + 12. Suppose i = -0*i - j. Calculate the common denominator of -73\/8 and ((-6)\/(-44))\/(i\/39).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -8083, -8062, -8015, -7930, -7795?\n\"Answer: 2*m**3 + m**2 + 4*m - 8090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 10*v**2 - 3*v - 6. Let i be a(-10). Suppose 0 = 7*y - i - 4. Let w be ((-10)\/8)\/((-1)\/(-4)). Sort w, 2, y.\nAnswer: w, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 - p**2. Let c(a) = a**3 - 2*a**2 + 1. Suppose 2*f + 41 = 39. Let x(y) = f*c(y) + 2*w(y). Differentiate x(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddppdptggdddfd. Give prob of sequence gg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -9*u**2 - 30*u + 65. Determine b(5).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide (-95460)\/(-1221)*55\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203154047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 271 - 266. Let r = 0.5 - -2.5. What is the smallest value in -2\/5, w, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -69.57 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/7)\/(2\/((-120)\/(-45)))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 724 - 387. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(20) - 1*sqrt(320).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v**2. Let k(u) = -u - 11 - 3 + 14. Give c(k(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, 7, 0.\nAnswer: 0, 7, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -366494, -732644, -1098794, -1464944, -1831094, -2197244?\n\"Answer: -366150*y - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2 + 98*q - 2499.\nAnswer: (q - 21)*(q + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 + -51\/2. Let g = -64 - -68. Let f be (18\/28)\/(((-21)\/g)\/(-7)). Which is the closest to y?  (a) f  (b) 1  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*o - 6*w + w, 2*o + w - 1 = 0. Suppose 0 = -5*k + o*m + 1678, 237 = 5*k + 2*m - 1445. Calculate the greatest common divisor of k and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2245 is divided by 874.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*((1 - 3 + 1)*(-3*f + 0*f + 2*f) - 2*f - f - f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3*m**3 - 10*m**2 - 18*m + 66. Let o be c(5). Calculate the highest common factor of o and 3232.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 139545 and 3325.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -47416, -47422, -47432, -47446, -47464, -47486, -47512?\n\"Answer: -2*f**2 - 47414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -2*l**3 + 1638*l**2 - 444000*l + 39777664 = 0.\nAnswer: 227, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -10*c - 6. Suppose -759*z + 40754 = -27556. What is the smallest common multiple of z and d(-6)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 909608 and 11880218.\nAnswer: 6146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 + (12 - 0))*-1. Is -46\/5 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 5:39 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**5\/9 + 1668*u**4 - 13937876*u**3\/3 + 51218089432*u**2\/9 - 7773208306006*u\/3 + 5159412416356 = 0. What is u?\nAnswer: 2, 1541, 2211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 4*a = -5, 2*l = -2*a + 28. Suppose -2*m + l = -97. What is the remainder when m is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2612984681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 795527?\nAnswer: 795527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 + x - 7. Let c be k(0). Let p(l) = l + 11. Let h be p(c). Suppose 0 = 5*v - m - 1, m - 12 = -h*v - 4. Which is smaller: -1\/3 or v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -480, -691, -904, -1119, -1336?\n\"Answer: -x**2 - 208*x - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 28*f**2 - 376*f + 197. Determine c(-10).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -0.3, -0.232, 5, -0.5, -3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 58101761389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -129  (b) 5  (c) -2\/43  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -39 + -7 - 5 - -11?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/564 and 53\/66.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -21298*p - 149061. Calculate w(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y - 1. Let s be r(-1). Suppose s = 5*k + 4*z + 10, 4*z = -k + 5*k + 44. What are the prime factors of -1 - (k\/(-3) - 22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-7))\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -5. Let n = -63 + 60. Which is the third smallest value?  (a) h  (b) -3\/5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 46859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 7*w + 27 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6280 + 6269. Sort d, 0, 187 in increasing order.\nAnswer: d, 0, 187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - -6 - (-1 + -1 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 0.06  (c) -0.1  (d) -10  (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 181467?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/15*-5*6\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 5:11 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3143 - -3147. Let r = -2 + 0. Sort r, o, 2.\nAnswer: r, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 not equal to -6081\/430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.42, -20, -2\/11 in decreasing order.\nAnswer: 0.42, -2\/11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -778 and 33.\nAnswer: -25674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25564 and 168.\nAnswer: 153384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 - 13 + 12 - 10 + (2*s - 3*s - s)*(-4*s + 2*s + 3*s) + 36 - 30*s**2 - s - 36 in the form c + d*s**2 + b*s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*d**3 - 6*d**2 + 2*d**3 - 4*d**3.\nAnswer: 15*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 19*z - 14*z + 340, 4*c = -4*z + 340. What is the greatest common factor of c and 1207?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 0.027, 2\/15 in ascending order.\nAnswer: -6, 0.027, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -49036639\nAnswer: -2\/49036639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8535000870?\nAnswer: 2, 3, 5, 11, 8621213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 317\/4 - 1133\/12. Let l = 781\/4 + -197. Calculate the common denominator of c and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 22. Let n = -11.1 - h. What is the third biggest value in n, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -5, -1 in increasing order.\nAnswer: -5, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(228)*5)\/((sqrt(84) - 1*sqrt(84))\/sqrt(7) + sqrt(12) + sqrt(12)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 times 84.9266?\nAnswer: 76.43394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 + 21 + -35 - -29) + 37.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mimimi. What is prob of sequence mim?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -3*s**2 - 121*s + 766. Calculate p(-46).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 12*i**2 + 92*i - 17. What is d(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 59519\/6 or 9920?\nAnswer: 59519\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126389 is divided by 68?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of b**5\/5 - 13*b**2. Let t(r) = -2*r**2. Calculate t(q(s)).\nAnswer: -288*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, -46, -6 in descending order.\nAnswer: 0, -3, -6, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 17 = -z, 0 = -3*z + 30*w - 27*w + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60)\/(sqrt(4) - (sqrt(196) - 1*sqrt(196))))\/(6*(sqrt(5)*-2 - sqrt(5)) + (-1*sqrt(60) + sqrt(60))\/sqrt(12)))**2.\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of p**5\/20 + p**4\/2 + p**3 + 2*p**2 + 10*p. Let k be u(-5). What is the tens digit of -6*8*k\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 7*x**2 - 6. Let b(m) = -6*m**2 + 5. Give -6*b(c) - 5*h(c).\nAnswer: 5*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86, -213, -418, -707, -1086, -1561, -2138, -2823?\nAnswer: -3622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -435*a + 437*a - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - -121*(-1)\/62. What is the biggest value in 1\/6, t, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194931 is divided by 27835.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 19*g + 60 = 0. Suppose -2 + 8 = 2*y, g*y = -4*l - 159191. What is l rounded to the nearest one thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55185 is divided by 55069?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (27\/(-6))\/(-2 + -4). Let x = -5 + 5.43. Let q = 1.43 - x. What is the second biggest value in a, -0.4, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3162095 + 7*y**3 - 3162095.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -115978.339 less than 9?\nAnswer: 115987.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21296.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 662 + 8619340060.\nAnswer: 8619340722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(384\/90)*-2*(-40)\/(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 235 - 227. Solve 0*r - 4*r = -4*v + l, -4*r - 9 = -3*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 5*s**5\/2 - 2245*s**4\/4 - 14565*s**3\/2 - 116795*s**2\/4 - 30910*s + 23700 = 0?\nAnswer: -5, -4, 1\/2, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, 193 in decreasing order.\nAnswer: 193, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 3 = 2*o + 5, 0 = -5*o + 5*i + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - 5) + 96 + -14 - (1 - 4 - 0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (x + 0 + 0)*(0 + 4 - 5)*(2 - 2 - 2)*(0*x + x + x) to h*x + b*x**2 + i and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 887*b + 94648 - 163834 for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tdjg when four letters picked without replacement from ttdkgkojkkotk?\nAnswer: 1\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 4. Let u = -0.2 + 0. Let y = -0.06 + -3.94. Which is the closest to -1?  (a) z  (b) y  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280013 is divided by 40001.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nii when three letters picked without replacement from {i: 3, x: 2, n: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 649 - -147. Let c = l - 796.000000733. Round c to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 2123099.\nAnswer: 6369297","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-104*(1 + 0)\/(-4)). Let u = -150 + 146. Which is the smallest value?  (a) -1\/4  (b) u  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.091 - 11012.\nAnswer: -11011.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 364*a**2 - a + 2. Let y be z(1). Suppose -26*p + 31*p - y = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 10 = 11. Let s(l) = -22*l - 1. What is the common denominator of s(c) and -97\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 123001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -7170 (base 15) to base 9\nAnswer: -35766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 8.193144 tonnes?\nAnswer: 8193144000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39649.96 kilograms to milligrams.\nAnswer: 39649960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 - 25*k - 36. Let c(g) = g**3 + 7*g**2 + g + 8. Let y be c(-7). Let i = -11 - y. What is the units digit of h(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 2*s + 8 = 0, 2*k - s - 1 = 4. Suppose 5*m - 65 = -5*h - 0*m, -2*m = -4. Suppose -42 = 3*w + h*w. Which is smaller: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 8:08 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21.999 + 22. Let p = g + -0.001046. What is p rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -4. Let q(h) = -2*h - 2. Let u(d) = -3*d - 3. Give g*u(a) - 5*q(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7473*h + 7473*h + 16*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -24*b**2 + b. Let m(a) be the first derivative of -3*a**2\/2 - 290. Calculate k(m(l)).\nAnswer: -216*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 803 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -124214.2 - -124214. Let a = -5.3 - -5. What is the closest to -2 in a, l, -23?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 101556, 406377, 914400, 1625613, 2540004, 3657561, 4978272, 6502125?\nAnswer: 8229108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*v + 240 = -26, p - 25*v + 1269 - 922 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((10 + -10)\/8)\/(1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 22*m + 33*m - 6.\nAnswer: 55*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -897880 divided by 10.\nAnswer: -89788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 1, -7, -19, -35, -55, -79?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 206*h**4 - 307*h**4 + 653*h**4 - h as i + m*h**2 + k*h**4 + q*h**3 + w*h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 146144\/7 - 20914. Which is smaller: -36 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.4, 5\/3, -2\/19, 0.4, -44\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1021221 - -1012101202?\nAnswer: 1020200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8364 and 7742358?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1984.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 301, 482, 6 in ascending order.\nAnswer: 6, 301, 482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(12))**2*-6.\nAnswer: -222 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 255 divide 113220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 0 + (-18 - -14 - 9) + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-3))\/(6\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81.17 - 0.17. Let b = i + -114. Let z = -33.23 - b. What is z rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-106)\/212)\/(((61101\/162)\/73)\/(1\/(-2))).\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*v**2*z**4 - 629*v**2*z**2 - 12613*v**2 wrt z?\nAnswer: -8*v**2*z**3 - 1258*v**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 5*d)*(0 - 1 + 4)*(5 - 1 - 2).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 3 = -5*u, -5*y = 4*u - 9 - 39. Differentiate -42*j**3 - 2 + y*j**4 + 42*j**3 with respect to j.\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*z + 2*z + 31*z)*(-7*z**3 - 4*z**3 + z**3) to i*z**4 + j*z + v*z**2 + n*z**3 + l and give i.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -84 + 88. Solve i + u = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5 - i**3 + 9*i - 2*i**3 - 10*i**2 + 0*i**3 + 4*i**3. Let b be d(9). Solve 0 = b*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 10. Let k = 18 + -14.9. Let h = -3 + k. Which is the second smallest value?  (a) h  (b) x  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3476 + -3477. Put l, -5, 1, 19, -2 in descending order.\nAnswer: 19, 1, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 - 8*c - 2. Suppose 9*u + 33 + 21 = 0. Let w be a(u). Suppose w*f + 10 = 12*f. Solve 3*x - 11 = -2*m, 0 = 5*m - f*x + 6 + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0*(2 + (-3 - -2)). Let r be -4 + 6 - o - 0. Suppose 3*f = -3*m, 5*m + 4*f = r*f + 12. Calculate the remainder when 18 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 421, 422, 423, 424, 425?\n\"Answer: c + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 a factor of 46494676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 521352106 and 1034?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28 + 9 + 16)*(-209*h + 286*h - 298*h).\nAnswer: -11713*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 615024700*y**2 + 1272599*y - 336?\nAnswer: 1230049400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -3*y + 18. Let m(j) = -1. What is -15*m(f) - p(f)?\nAnswer: 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5863*a + 14762*a - 20621*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 292.1 + -13.3. Let j = g + -279. What is the fourth smallest value in 0.5, -6, j, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r - 1 - 2 + 1 + 0*r. Determine i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**2 - 2 + r**2 + 1 + (-4*r + 41*r + 8*r)*(36*r - 30*r + 40*r).\nAnswer: 2069*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - -40?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 5*x**2 + 7*x - 1. Let p(c) = 4*c**2 + 6*c - 1. Let w(z) = -6*p(z) + 5*u(z). Let l(n) = -4*n**2 + 3*n - 6. Give -l(h) - 3*w(h).\nAnswer: h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1783)\/(-3) + 96\/(-72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2948 - 1110. Is p\/14 + (-6)\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12271885.\nAnswer: 5, 53, 46309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -47 + 0*h - 2*h + 160 + 33 + 0*h - h**2. Let o be t(11). Solve 4*k = -5*p - 5, -2*p - o*k = -p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 31536, 31573, 31644, 31755, 31912?\n\"Answer: p**3 + 11*p**2 - 3*p + 31527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t + 15. Let y be v(-10). Suppose -3 + 32 = y*x - 2*w, 20 = 2*x - 5*w. Suppose z - 4*u = 20020, 0*u = x*u + 25. Round z to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2015 + -122?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 5*w + 46, -3*j + 20 = -w + 2*j. Let r be (-102)\/(-15) + (-2)\/w. Calculate the highest common factor of 63 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3217704849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5243, -10485, -15727?\n\"Answer: -5242*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 9:27 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 11975 = -2967. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 704, 882, 1470, 2708, 4836, 8094, 12722?\n\"Answer: 40*f**3 - 35*f**2 + 3*f + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7645 and 292039?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -44.5 + 45. Which is the biggest value?  (a) g  (b) 5  (c) 3  (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**2\/3 - 237270*n + 42222789675 = 0. What is n?\nAnswer: 355905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, v: 6, i: 3, s: 4}. Give prob of picking 2 s and 2 i.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000005273 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0155 + 40.8155. Let r = -35.8 + l. What is the biggest value in -4, -0.2, 25, r?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**2 + 65*a + 38. Let q be g(33). Suppose 5*s - 210 = -3*w, -q*s - 2*w + 129 = -86. Solve 10*m - m = s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 231 - 435?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -76\/11 < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1643107 (base 11) in base 9?\nAnswer: 5237564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1277.0613 nanoseconds to minutes.\nAnswer: 0.000000021284355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/1694 and 73\/392?\nAnswer: 47432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9.8 - -10. Which is the nearest to 0.1?  (a) f  (b) 0.07  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 563 - -867. Suppose g = 5*u + 5*f, 5*u + 0*f + f - 1442 = 0. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*c**5\/9 + 44386*c**4\/9 - 961958*c**3\/9 - 2151994*c**2\/9 + 1102600*c\/3 - 26488 = 0 for c.\nAnswer: -301, -3, 6\/79, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 + (-9 - 24) + -28.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 21 = 2*b, 0 = 5*o - 2 + 17. Let y(q) = -b*q + q - q. Let l(x) = 108333 - 108333 - 5*x. Calculate y(l(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.9 times -6.2?\nAnswer: 296.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -213*l + 2. Is j(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1225 and -0.18?\nAnswer: 0.02205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12 - 106195060866.\nAnswer: -106195060854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 - (-1826)\/(-242) - (-6)\/11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4*m = 3*t + 37, -3*t + 4*m = 43. Let g be 0\/1 + t\/(65\/2). Let a = 58.7 - 59. Are a and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12562060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 - -46. Let i = s + -44. Let p = i - -22.8. Which is the second smallest value?  (a) -0.3  (b) p  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -6*x + 10. Suppose -2 = -x*f - d, 4*d = 5*f - f - 4. Solve 2*y - 2 = -5*n - f, 3*n = 5*y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 40965.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 57045925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -82*j + 81*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5436 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -454, -1062, -1382, -1270, -582, 826, 3098, 6378?\nAnswer: 10810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*z = -111 - 34 - 131 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of -2*v**3\/3 - 3*v**2 + 5*v + 2. Determine w(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 - (-18 + 896\/21).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/170843490 and -151\/136674792.\nAnswer: 683373960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p**2 + 14732*p + 5892 = 0. Calculate p.\nAnswer: -2946, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*n - 16*n - 24 = -16*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12\/6 - (-2 - (14 + -8)) and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 + -17.22. Let v = t - 0.28. Let p(w) = -2*w**2 + 3*w. Let r be p(2). Which is the biggest value?  (a) v  (b) r  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 828 is divided by 95.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -15*o**2. Let n(d) = -114*d**2. What is n(t(p))?\nAnswer: -25650*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 2 = 5*i. Let x(v) = 2*v**2 + 8*v - 16. Let y(n) = 5*n**2 + 25*n - 47. Let l(d) = -8*x(d) + 3*y(d). Let m be l(10). Sort m, i, -8.\nAnswer: -8, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 348504673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34281275*f**3*w + 6260*f**2*w + 2*f - 52 wrt f?\nAnswer: 205687650*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:47 PM and 7:41 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 597116899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/((-532)\/(-70))*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 3 = -15. Suppose 2*c = n + 3. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2759\/122 + -7\/61. What is the common denominator of -33\/74 and k?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 134895 and 335515605?\nAnswer: 7935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 3 = w + c, -3*w + 3*c + 21 = 0. What is the third derivative of w*p**6 - p**6 - p**2 + 2*p**2 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 4  (b) -19  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 18938.\nAnswer: -5681.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 14) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -328*f**2. Let j(b) = -35644*b. Calculate h(j(v)).\nAnswer: -416722273408*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9.03 - -9.33. What is the third smallest value in u, -4\/41, -5, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0*((-6)\/2)\/(-3). Suppose 4*d - 84 = -x*d. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cu when two letters picked without replacement from zsuzsjssuluzsssssc?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16) + 3*(1*sqrt(16) + sqrt(16)))\/(sqrt(800)*-2).\nAnswer: -7*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 473960363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 28*r**2 + 4254*r. Let l(t) = 13*t**2 + 2126*t. Give -13*l(j) + 6*v(j).\nAnswer: -j**2 - 2114*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 5*z - 8 = 0, 2*b + 2*b + 4*z - 8 = 0. Suppose -s + 170 = 4*n, -2*s + s + 128 = 3*n. Calculate the least common multiple of n and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that t**4 + 2108*t**3 - 64207*t**2 - 143150*t + 205248 = 0.\nAnswer: -2138, -3, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + 1. Suppose 6 = r*o - 15. Suppose 43 = 4*q + o. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64552.\nAnswer: 2, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 490032 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = -2*h - 2*d, 5*d - 3*d = -4*h + 182. Calculate the remainder when (-6)\/3 - (-252)\/3 is divided by h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.06, 8 in descending order.\nAnswer: 8, 5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -471*s**2 - 421. Let h(p) = -1409*p**2 - 1265. Let n(l) = -4*h(l) + 14*k(l). What is the first derivative of n(o) wrt o?\nAnswer: -1916*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**2 - 13594535*w - 13594540.\nAnswer: 5*(w - 2718908)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 11:23 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z - 3*z - 4*z + z. Let r = -35 + 20. Let t(d) = d**2 - 2*d + 2. Let j(k) = 2*k**2 - 5*k + 5. Let a(f) = r*t(f) + 6*j(f). Calculate o(a(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 2*i - 4)*(6*i + 2*i - 3*i) - i**2 + i**2 + 2*i**2 - 2*i**2 + 7*i**2 - i**2)*(0*i - 2*i + 4*i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 14*f**3 - 5*f**2 - 3*f + 3. Let x = -1 + 5. Is z(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**2)**22\/(u**(-2\/9))**49 assuming u is positive.\nAnswer: u**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-6))\/((-18)\/18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.4252596 millennia?\nAnswer: 4.252596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27*136\/(-8262))\/((-4)\/15).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 43.92 + -43.82. What is the closest to 0.2 in -3, -7, 37, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 14*q + 17*q + 19850 = 0, 0 = 4*b + 2*q - 79358. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -j**2 - 3*j + 15. Let s(u) = -4*u - 6. Determine -13*c(p) + 6*s(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 207 - 167. Suppose 0 = w*a - 41*a + 802. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 11:47 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -287029 + 286249.977. Let u = r + 844.05. Let p = u + -65. Round p to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of 0*b**5 + 0*b**4 + 0*b + 1\/120*b**6 + b**2 - 1\/6*b**3 + 0. What is the first derivative of a(u) wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 + 6*n**2 - 7 + 15*n**2 + 82*n**2 - 8*n**2 + (-2 + 4*n + 2)*(2*n + 1 - 1).\nAnswer: 103*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(3\/5))\/f**(2\/11))**(1\/25))**(-2\/29) assuming f is positive.\nAnswer: f**(-156\/39875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 3*v**4 - 14*v**3 + 37*v**2\/3 + 40*v\/3 - 16 = 0.\nAnswer: -1, 4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -2*c**2\/3 + 2*c\/3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 290792086.\nAnswer: 2, 13, 11184311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -112 + 120. Let w(v) = 6*v + 0*v - 16*v + s*v - 1 - 4*v**2. Determine w(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -c - 19, -c + 13 = -832*j + 835*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10548, -42141, -94784, -168477?\n\"Answer: -10525*k**2 - 18*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16813190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -9*(3\/20)\/((-26397)\/1676)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (-1 - -2)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 12:23 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 15 - bd2c?\nAnswer: -bd17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttdttttt.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39507 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of u**5\/70 + 67*u**4\/42 + 22*u**3\/7 + 1384*u. Factor y(j).\nAnswer: 2*j*(j + 1)*(j + 66)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of a**6\/120 + a**5\/15 - 2*a**3\/3 + 10*a**2. Let u(v) = v**2 - 1. What is 2*f(y) - 9*u(y)?\nAnswer: 2*y**3 - y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7417 + 51922\/7. Let y = -1.7 + 2. Sort 3, y, -5, r.\nAnswer: -5, y, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of d**2 - 5*d + 56. Let r(t) = -t + 1. What is -c(v) - 5*r(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 2*z = 66. Let k = z + 32. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00014571618 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 47*s**2 + 44*s - 95. Calculate h(-46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3090, 3032, 2974, 2916?\nAnswer: 2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + 15 - 9 - -596373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j + 23. Let h be i(-9). Let s = -4 - h. Suppose s = 2*m + 42 - 272. List the prime factors of m.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of 3*c**6\/40 - c**3\/2 - 3*c**2\/2 + 1. Let g(m) be the second derivative of z(m). What is the derivative of g(u) wrt u?\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 78029632 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 3*z = -2*z - 5, 4*z - 8 = 4*k. Let u = 8 - k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -1, -5*s + r - 1 + 27 = 0. Find the second derivative of -26*v**s - 3515*v - 14*v**5 + 3519*v wrt v.\nAnswer: -800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 - 13. Suppose 0 = 4*f - p*f + 30. Calculate the remainder when 10 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2117.919 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2083*i**3 - 149*i + 583. Let r be n(4). Round r to the nearest 1000.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 + -2 + 6)\/(0 + 3). Suppose -5*o - 11 + k = -4*u, -2*o + 3*u - 10 = 0. Let n(f) = -f**2 + 4*f - 4. Let j be n(4). Sort o, j, 6.\nAnswer: j, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-1\/4)*w*w)\/w**(3\/8))**(1\/63)*(w**6*w\/w**(6\/11))**16 assuming w is positive.\nAnswer: w**(572797\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 252908470 is divided by 81452.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -8*1\/(-2) - (89 - 3). Is -82 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**5 + 43 + 10*d**3 - 85 + 2*d**2 + 41 + 2*d**3 + d**5 - 2*d**3 + (d**4 + 0*d + 0*d)*(-2*d - 3*d + 0*d) - d**5 + 5*d**5 - 5*d**5.\nAnswer: -7*d**5 + 10*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 154201 at most 154197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 4*y + 2 - 6 = 0, -3*d - 12 = -3*y. Let k(t) = 7*t**2 + 2*t + 29. What is the hundreds digit of k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of -i**4\/6 + 2*i + 47. Let o(z) = 15*z**2 - z. What is p(o(n))?\nAnswer: -450*n**4 + 60*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b6b (base 15) to base 3.\nAnswer: -10112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-20)\/60 - (16\/(-15))\/2. What is the nearest to 3\/4 in d, 5, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l**2 + 6. Let i(h) = 4*h**2 - 6. Let x(s) = -5*i(s) - 6*y(s). Let w(f) = -174*f. Let g(r) = 55*r. Let c(z) = -19*g(z) - 6*w(z). Calculate x(c(o)).\nAnswer: 10*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -151, 3, 5 in descending order.\nAnswer: 5, 3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -2, 0, -0.4, -75\/52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-148)\/1110)\/(17\/((-3570)\/49))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 84*d*j**4*z**2 - d*z**2 + d*z + 5*j**2*z**2 + 3*j*z wrt j.\nAnswer: 1008*d*j**2*z**2 + 10*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 16, 0.5, -2\/83, 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1074924.\nAnswer: 2, 3, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 4*h**3 - 2*h**2 - 3*h + 3. Let d be j(2). Calculate the greatest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 95 + -65 + -29 + 0. Let s = -1927 - -53947\/28. Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 3025 + 29560 = 5*s, 2*n - 10 = 0. List the prime factors of s.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 + -29.52. Let o = -0.527 + q. What is o rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27\/344 - 2\/43. Let w = -7 + 6.5. Which is the nearest to 1\/4?  (a) 0  (b) w  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2214667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 2*p**2. Let b(w) = 13*w + 9 - 9 + 8*w - 9*w. Calculate u(b(k)).\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (325 - 127*n - 325)*(n - n - 2*n**2).\nAnswer: 254*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3*x + 992 = 0, -14*x = -s - 15*x + 968. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -14*l**3 - 7*l**2 + 14*l + 3. Let c(n) = 21*n**3 + 10*n**2 - 20*n - 4. Let u(z) = 7*a(z) + 5*c(z). What is u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2\/5, -4, 2, -13072 in decreasing order.\nAnswer: 2, 2\/5, -4, -5, -13072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35363.\nAnswer: 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 304967473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 - 19. Suppose 5*y - b = -2*b + 98, -66 = -3*y + l*b. Solve 2*n = -3*n + y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2 + 2*r**2 + 2. Let o(h) = 7*h**2 + 6. Let u be (18\/(-42))\/((-16)\/14 - -1). Let x(w) = -76*w**2 - 64. Let j(i) = u*x(i) + 32*o(i). What is g(j(d))?\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 328 = -7*l. Let y(t) = t**2 + 16*t - 17. Let q be y(4). Let p = l - q. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2723 divided by -6?\nAnswer: 2723\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 - 177.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 52293617 - 0.3.\nAnswer: 52293616.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence msws when four letters picked without replacement from mmssmmmmsswms.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/6413 and 10\/30899.\nAnswer: 339889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 69 - 70. Let v be 4 + (-5 - o) - -3. Solve 0 = f + w - 9, -v*w + 22 = f + f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 3*g - 14. What is the smallest common multiple of p(6) and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -120, -228, -324, -402, -456, -480?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2223.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/1*3*-1. Let b(k) be the first derivative of k**4\/4 + 11*k**3\/3 + 5*k**2\/2 - 12*k + 17. Is 21 a factor of b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - -22320?\nAnswer: 22320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9611?\nAnswer: 7, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*j = j, j = 1. Suppose 7*m - 78 = m. Let k = m + w. Solve 3*r = r + k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of -2*p**4\/3 + p**3\/6 + p**2 + 2*p. Let d(t) = -t**2 - t - 1. Let u = -633 + 634. Let x(l) = u*n(l) + d(l). Determine x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 111876515 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-3))\/(-2) - (-180 + 181)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-7\/8))\/i)**28\/(i**(-6)\/(i*((i**(-27)*i*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 184.4 * 0.18.\nAnswer: 33.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of -7*v**4\/24 - 2*v**2. Suppose -4*l + 2*l = -3*l. Let g(b) = 7*b + 7*b + 4*b + l*b - 21*b. Determine q(g(f)).\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6486, -6454, -6392, -6294, -6154?\nAnswer: -5966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004487308243 rounded to 7 dps?\nAnswer: 0.0000449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 133*s**2 - 2393*s - 24. Calculate w(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 37*s**2 + 67*s - 9. Determine m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -476142 + -3?\nAnswer: -476145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -169*u**3\/9 - 1168921*u**2\/9 + 359680*u\/9 - 27668\/9.\nAnswer: -(u + 6917)*(13*u - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 4 + -3 + 29 + -23\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(4*(-5)\/(-100))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 191979 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -26.5, -31\/15, 27 in increasing order.\nAnswer: -26.5, -31\/15, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 47017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/22?  (a) 0.7  (b) 0  (c) -1\/4  (d) 2\/9  (e) -82  (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*z - 12*z + 50. Suppose -v + 5*f + z + 19 = 0, 2*v + 4*f = 86. Factor -296*k**2 - 17 + 101*k + 151*k**3 + v*k + 137*k**3 - 7 + 20*k**5 - 128*k**4.\nAnswer: 4*(k - 3)*(k - 1)**3*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38\/3 + -10. Let a = -10\/3 + s. Put a, 0.4, -6 in decreasing order.\nAnswer: 0.4, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/11835 and -163\/15780?\nAnswer: 47340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5224 (base 7) to base 10.\nAnswer: -1831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 3*h = -55 - 1, 4*o - 3*h = 32. Calculate the highest common divisor of 33 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 o, and 2 c when four letters picked without replacement from zcczzooercoddozzorrr?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -427889 by 7.\nAnswer: -61127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 8:01 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8667.114 litres?\nAnswer: 8667114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + -14bb11?\nAnswer: -14bb0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -103 + -45595?\nAnswer: -45698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -68c + 110?\nAnswer: -57c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*s + 34545 = -369*s - 1246*s - 188*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/6*((-160)\/12)\/4. Solve -6*s + l*s = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 2:42 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*p**2*z**3 + 2*p**2*z**2 - 2*p**2*z - 704178*p*z**3 - p*z - 49235*z**2 wrt z?\nAnswer: -12*p**2 - 4225068*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from reeeeerrrrereeerrere?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1392704, 1392694, 1392684, 1392674, 1392664?\n\"Answer: -10*h + 1392714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -182574 divided by 98.\nAnswer: -1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 4, -1\/3, -12 in descending order.\nAnswer: 4, 3\/4, -1\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -72760.6 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/6)\/(4\/12). Let v(d) = d**3 + 2*d**2 - 1. Let p be v(i). Is p > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - v = -923, -2*u + 906 + 930 = 4*v. Calculate the remainder when u is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126932 divided by -2?\nAnswer: -63466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7\/10 - -1\/5. Which is the nearest to 0.1?  (a) 2\/15  (b) q  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 5. Let c be (-38)\/(-14) - (-4)\/14. Suppose 5*f - s*i = -15, -c = f + i + 2*i. Is f at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -5*t - 2. Let f(k) = -6*k + 31. Let x be f(5). Let m(q) = q + 1. Let w(r) = x*i(r) + 6*m(r). Suppose -8 = -3*d + 1. Calculate w(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 17*n - 5*n**2 - 13*n**2 + 8*n**2 + 5 + 2*n**3. Let r be f(3). Solve 4*y - 2*y + 5*u + 12 = 0, 3*y - 2*u = r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of a**5\/60 + a**4\/4 - a**3 + 39*a**2. Suppose -q - 2*m + 3*m = 11, 5*q - m = -35. Give u(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -5. Find the second derivative of h**4 + 0*h + h - 6*h - 5*h**y wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67839320 - 4?\nAnswer: -67839324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405) + (2*sqrt(405)*5)**2 + 0 + 2*sqrt(405)*2 + 5)*-6.\nAnswer: -243030 - 270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k - 4. Suppose 0*c = 5*c + 15, -3*n - 6 = -5*c. Suppose -3 + 47 = 4*s. What is the smallest common multiple of z(n) and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209 is divided by 96.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -127170 divided by -25434?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 332 + -330. Let d = -68.03 + 1.03. Let k = 72 + d. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-126)\/105)\/(1820\/350).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 2\/11  (b) 4  (c) 0.2  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14407046.\nAnswer: 2, 7203523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**2 + 4*x**2 - 21 + 4 - 3*x**2 - 11*x**2.\nAnswer: -12*x**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 + 12*r - 48. What is w(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + 1 + 1 + -1 + sqrt(468) - (-4 + 4 + -1*sqrt(468) + 5)) + -4)**2.\nAnswer: -192*sqrt(13) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 + 249.094.\nAnswer: 251.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 280484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -7 + 7 - 2 - 5*b**2. Let z(o) = 6*o**2 + 3. Let y(w) = 3*f(w) + 2*z(w). Let i(l) = -8*l**2. What is y(i(a))?\nAnswer: -192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 137720 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 420248.2 hours to seconds.\nAnswer: 1512893520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -334696, -669367, -1004038, -1338709, -1673380?\n\"Answer: -334671*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*2\/(-16)*-1. Let p = 40 + -132. Let h = -87 - p. Put h, u, -4 in decreasing order.\nAnswer: h, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2\/7 + 44*i\/7 + 363\/7.\nAnswer: (i + 11)*(i + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 488 divided by -4.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 21220101111 (base 3) to base 13\nAnswer: 55a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 33*z + 14. Let j be n(9). Let o = j + -210. Solve -5*u = i + 13, -o = 4*u - i - 3*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of l**5\/20 + 5*l**4\/6 + 3*l**3 - l**2 - 19*l. Let y be c(-8). Sort 4, y, 3 in decreasing order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 10:11 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*k**4*z - k**2*n**2 + 20*k*z**2 + n**2*z**2 + 186*n**2*z + 1 wrt k.\nAnswer: 28*k**3*z - 2*k*n**2 + 20*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*g**3*p**4 + 3*g**3*p - g**2*p**2 + 11695*g*p**4 + 575 wrt p?\nAnswer: -96*g**3*p + 280680*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/1036)\/((-22)\/3179). Let v = g + -1\/148. Which is the fourth smallest value?  (a) 3\/7  (b) -3  (c) v  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-318)\/(-636))\/((-30)\/(-12)*(-1)\/(-365)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 335260233 + -1132620?\nAnswer: 334127613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/134 and -99\/26?\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/450965 and -58\/18525?\nAnswer: 87938175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that x**2 + 2011*x - 2012 = 0.\nAnswer: -2012, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.09 - -0.19. Let j = 117 - 111.9. Let t = v - j. Which is the second biggest value?  (a) -1\/4  (b) t  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -b - 5, -20 = -5*t + 8*b - 4*b. Suppose 2*d - 30*w + 29*w - 17779 = t, 0 = d + w - 8882. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q = -9*q + 6. Solve -3*f - 5*s - 31 = 0, -2*s + 16 = -q*f - 4*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*k - 10 = 95 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2043052\/510818 + -6 + 2)*-7. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from wwwwnnnwww.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -12, -16, -12, 6, 44, 108, 204?\n\"Answer: f**3 - 2*f**2 - 5*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**2 + 16021340*n - 16021336.\nAnswer: -4*(n - 4005334)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96281380*m + 96281372*m = -416 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -1. Let z be 2\/p*6\/(-2). Let q(u) = -2*u**3 - u**2 + 3*u + 3. What is the units digit of q(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(3\/191973*-1). Suppose g + o = w - 2*g, 2*w - 4*g = 127988. What is w rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, n: 2, e: 1, b: 1, c: 1, o: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14*1*(6 - (-20)\/(-8)). Find the third derivative of 27*j**3 - 85*j**2 + m*j**2 + 64*j**2 wrt j.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.898 to one decimal place.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -4*p - 33. Let u be m(-8). Let n(v) = -690*v + 7. Let a be n(u). Calculate the highest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s + 1. Let k be z(-2). Solve 0 = k*l - l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 160.7 - 161. Which is the fourth biggest value?  (a) v  (b) 0  (c) 2\/3  (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -213974, -427970, -641980, -856004, -1070042, -1284094, -1498160?\n\"Answer: -7*a**2 - 213975*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3696 is divided by 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38*u**4 + u**3 - 43*u**2 - 5*u.\nAnswer: 912*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**2 + g - g + (8 - 1 - 2)*(3*g - 2*g**2 - 3*g) - 2*g**2 + 1 - 1.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*b + 9447 = 8299. What is the greatest common factor of 33334 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20769 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -74481*d**2\/7 - 372384*d\/7 + 15.\nAnswer: -3*(d + 5)*(24827*d - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 54064.7826 to the nearest one hundred.\nAnswer: 54100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11 * -136.\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 6\/(-2))*(-2397)\/102. Let y = o + 57. Calculate the smallest common multiple of y and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 154 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 + 5*p**2 - 5*p + 4. Give d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xoxtrxp. Give prob of sequence txt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -3*w - 24, -4*w + h + 2 = 14. Let c = 7 + w. Suppose 44 = -2*v + c*v. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of 0*o**5 + 0*o**4 + 0*o - o**2 + 0 - 1\/3*o**3 - 1\/40*o**6. What is the derivative of g(b) wrt b?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 26 and 12548.\nAnswer: 163124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1258, -5, 3, 7, 41 in increasing order.\nAnswer: -1258, -5, 3, 7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 13. Let t = -4.4 + 0.4. What is the closest to 1 in n, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 91*w**3 + 2*w**2 - 2. Let d(q) = 636*q**3 + 15*q**2 - 15. Give 4*d(b) - 30*o(b).\nAnswer: -186*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*-1*1\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 656.7723 decades to months.\nAnswer: 78812.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18*d - 35 - 37 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.5 + -1. Let d = 1.8 - 2. What is the nearest to -0.2 in d, o, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 432 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.037387 - 0.238097. Round n to three decimal places.\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 775474 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2*u = 0. Suppose -75 = -4*t + 3*i, 5*t + 3*i - 114 = -0*i. Solve 3*f = 4*j + t, 3*j = f - u*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**2\/2 - 30*k - 59\/2 = 0.\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*l - 17*l + 21321. What are the prime factors of l?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 + -14. What is the biggest value in 0.2, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94 = r - 162*q + 161*q + 95, -2 = -r + 2*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -337784386.4599975 - -337783998. Let p = 388.86 + l. Let s = p + -0.4. Round s to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p + 1. Let n(g) = 13*g**2 + 6*g - 6. Give 5*j(z) + n(z).\nAnswer: 13*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -222 + 223. Which is the second biggest value?  (a) -8  (b) j  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 73900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 14) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 112300 - -1023132?\nAnswer: 1202032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -6*j**3 - 15*j + 13. Let o(b) = -3*b**3 - 8*b + 7. Calculate 6*l(c) - 11*o(c).\nAnswer: -3*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 28 - 3 + 11 - 3*c**2 + 5 + 8 as u*c**2 + y + l*c and give y.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of 3*d**4\/2 + d**3\/6 + d. Let i(h) be the first derivative of -h**2\/2 + 2407. Calculate y(i(f)).\nAnswer: 18*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 0*z + 3*z)*((z**3 + 2*z**4 - z**3)*(0 - 3 + 6) - 2*z**4 + 2*z**4 - 5*z**4) + 2*z**5 + 3*z**5 + 2*z + 0*z**5.\nAnswer: 6*z**5 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 250 - 240. Let v = 10.2 - t. Which is the second biggest value?  (a) v  (b) -5  (c) -0.3  (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/10 - 216\/(-60). Solve -m*s = 14 - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -955, -1907, -2859, -3811, -4763, -5715?\nAnswer: -6667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -o**2 - 2*o**3 + 3*o**3 + 9*o**4 + 14*o**4 + o**3 - 8*o**3 in the form l*o**3 + p*o + j*o**4 + q + z*o**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 3*p - 2*p - 3*p. Let o(n) = n**2 + 5*n. Let j(l) = 4*l. Let c(y) = -5*j(y) + 4*o(y). What is q(c(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 12 + f**2 - 12. Let a(i) be the second derivative of 7*i**3\/3 - 373*i - 1. Give g(a(o)).\nAnswer: 196*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-49)*154\/33?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (60\/36)\/(4\/12). Suppose 3*h + 2*f = -2*h + 12, 0 = -2*h - 4*f - 8. Suppose -5*s + 129 = 6*q - h*q, 3*s = y*q - 307. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2202, -3, -237859 in descending order.\nAnswer: -3, -2202, -237859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 325*j - 6790. Give g(20).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8404)\/(-36))\/11 + 4\/(-18). Suppose 428 + 1189 = 11*y. What is the highest common divisor of v and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**4 + 48*o**3 - 270*o**2 + 595*o - 380. Let g(b) = -9*b**4 - 240*b**3 + 1350*b**2 - 2976*b + 1899. Let k(i) = 5*g(i) + 24*x(i). Factor k(z).\nAnswer: 3*(z - 5)**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -5203731, -5203749, -5203785, -5203845, -5203935, -5204061?\n\"Answer: -y**3 - 3*y**2 - 2*y - 5203725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -14*s**2 - 8*s. Let b = 28 - 17. Suppose b*h + 3*q + 31 = 6*h, 0 = -2*h + 5*q - 31. Let d(x) = 9*x**2 + 5*x. Calculate h*d(c) - 5*p(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -4*v - 12. Suppose 20 = -5*x + r, 8*r - 13*r = 25. Determine g(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -193395955*m*o**3 + 22052218*o**3 - 6*o**2 wrt m.\nAnswer: -193395955*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-3)*24\/4*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-seven fifths of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = -4*v - 15, -2*v + 2*p - 10 = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 277122.\nAnswer: 2, 3, 46187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/5 of a micrometer in nanometers?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 5 + 4 + (sqrt(275) + (sqrt(275) - (sqrt(275) - 5*(sqrt(275) + -2))) + sqrt(275) - sqrt(275)) + -1)**2.\nAnswer: -60*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -336996 divided by 37?\nAnswer: -9108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - 7. Let n(x) = -x**2 + 4*x + 8. Let c be n(u). Let l be 1\/(-4) + (-13)\/c. Solve 0 = 2*v - 1 + l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 6*v = 2*v + 105, 5*v = -5*k - 105. Let y be (-2)\/7 + (-69)\/k. Let a(z) = -4*z + y*z - 1 - 5*z. Give a(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 425 divide 644066267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3768*i + 3766*i + 1950 + 583 + 306)*(-4*i**3 + 3*i**3 - i**3) in the form r*i + q*i**4 + y*i**3 + b + l*i**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l + 0*l + 19*l - 160575 = 0. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 66955*i - 66926*i - 580 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214*c - 29*c = 370 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*f + 75 = 5*f. Let v be (-1 - (0 + 1))\/(-3). Put 0.3, v, f, 0.4 in descending order.\nAnswer: v, 0.4, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3159\/8 - 395. What is the closest to -0.1 in 2, -284, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 17*v + 14. Let c(h) = -8*h - 7. Let o(l) = 5*c(l) + 2*q(l). Find the first derivative of o(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/8*(-756*(-100)\/6750)\/(6\/5)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 40 = 2*s. Let f = 17 - s. Suppose -4*t + m = -17, -7*m - 18 = -4*t - 5*m. Is t at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 4*q = 5*j - 35, 1679*q + 5 = j + 1683*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -7.1. Let p = -2\/35 - 12\/35. What is the closest to h in -1\/3, p, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4 + 14*z**3 - 13*z**2 - 252*z - 324.\nAnswer: -(z - 9)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-16)\/(p\/((p\/p**10)\/p)))\/(p*p\/(p**(5\/3)*p)*p\/p**(-2\/27)))**(-44) assuming p is positive.\nAnswer: p**(32560\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 6 = -r, 0*r - r - 3 = 0. Let v be (-5 - 28) + (-3)\/(3\/2). Let q be ((-1)\/2)\/(v\/(-30)) - 0. Is d smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -2 + (-33 - -30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35464 and 18733.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.9 - 1.1. Let u = -0.62 - -0.02. Let j = 0.1 + u. What is the third biggest value in j, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-2))\/((-132)\/(-88))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -789 - 6084 = -237*h for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1056\/1232)\/(2 - (-65)\/(-35))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -311 (base 16) in base 8?\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33743550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, w: 1, o: 1, n: 2, p: 1}. What is prob of picking 1 n and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-84)\/35*(-10)\/(-3). Let b = -5 - n. Suppose b*p = -15 + 54. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of h**7\/420 - h**6\/60 - h**5\/60 + h**4\/4 + h**3\/3 - h**2. Let b(m) be the first derivative of q(m). Let b(g) = 0. Calculate g.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d**4 + 6*d**4 - 4*d**4 + (-2 + 7 - 3)*(0*d**2 + 2*d**4 + 0*d**2) - d**4 - 3*d**2 + 3*d**2.\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-6 + -2) - (6 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*w + 6 = -4*g - 22*w + 44*w, -4*w = 1117*g + 1109 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2002*t**6 + t**3 - 962*t**2 wrt t?\nAnswer: -240240*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17432589?\nAnswer: 3, 5810863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4*(sqrt(1900) + (-5 + sqrt(1900) - sqrt(1900))) - sqrt(1900)) + -4 - (-5*sqrt(1900)*3 - (sqrt(1900) + 1)*1))*2)**2*4.\nAnswer: 59840*sqrt(19) + 3683024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78, -158, -238, -318?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 - 3*o**2 - 5*o - 1. Suppose 0 = 2*f + 7 + 1. Let g be p(f). Suppose -4*x = x - g. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/2 + 113*o\/2 - 1564.\nAnswer: (o - 23)*(o + 136)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1146540, 384.\nAnswer: -2, 384, 1146540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3916111 to the power of 1\/2, to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -329c57 - -6?\nAnswer: -329c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) -0.05  (c) -212539  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 63141643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73672 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -7231837460 rounded to the nearest one million?\nAnswer: -7232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + 2976?\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -27*a - 49. Suppose -22 = 8*t - 6. Let h be c(t). Solve 0*r + h*r = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -be - 5?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n*n**(3\/7)*n*n\/(n*n**26) assuming n is positive.\nAnswer: n**(-158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 405 + -237. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h**5 + 10739467*h**4 + 4843645*h**2?\nAnswer: -120*h**2 + 257747208*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvvvvzvz.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 + 6. Let q = -2.56 - u. Let g = 3.56 + q. Which is the nearest to 0?  (a) g  (b) 3  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k - 11. Let g be a(-6). What is the remainder when 74 is divided by g\/(15\/19)*-3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/54 and (-68)\/29682*(-17)\/(-2).\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*t - c - 0*c, -c - 5 = 5*t. Suppose 2*p = d - 3 - t, -2*p + 8 = 0. Calculate the greatest common factor of 88 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 - v**2 - 8*v. Let b be a(-4). Let j = -43 - b. Solve 0 = -0*x + 3*x + j*w - 5, -4 = -3*x - 4*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 - (-90 + 156) - (-1 - 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112 = -54*h - 355 - 397 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3007671 is divided by 1260.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 + -9. Let c = r - -13. Let x(h) = 7*h**2 + h. What is the lowest common multiple of c and x(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 28 = r, 0*f + 5*r = 5*f - 60. Let a = 27 - f. What is the remainder when (0\/(-2) - -2)*10 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + s - 4*s)*(-1 + 7 - 3) + (66 + 18 - 18)*(2 + 1 - 4)*(1 - 2*s - 1).\nAnswer: 123*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 1005 divide 4148640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -86658.7445 to the nearest 1000.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9885051 is divided by 3035?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of -551*j**3\/6 - 351*j**2\/2 + 3*j - 136. Differentiate n(a) with respect to a.\nAnswer: -551","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 12:45 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 2*k - 15 + 3, -4*p = -5*k - 61. Let y = 420 - 289. Let g = y - 120. Solve 5*m = p + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, 165.\nAnswer: 3, 4, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3*x - 5*x - 4 + 81412*x**2 - 81408*x**2. Let s be h(-1). Solve 0 = -3*v + 2*v - s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -212 + 224. Let o(y) = 2*y**2. Let f be o(1). Suppose v - 9 = -5*q, -3*q - 2*q + t = -f*v. Solve q*i = 4*i + 5*h + 23, -13 = i + 3*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4397371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 41394446 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -21, -38, -55, -72?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 287588639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45598.\nAnswer: 2, 7, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3579998 to the power of 1\/2, to the nearest integer?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 124727194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1098 - 5\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 67963 and 11096?\nAnswer: 543704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5436 + 22*m**2 + 5436.\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16787 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -k**2\/3 + 2114*k\/3 + 39024 = 0.\nAnswer: -54, 2168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 2*p + 5*w, -3*p - 4*w - w + 86 = 0. Calculate the remainder when p is divided by 5 - (1 + -2) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + 3 - 3)*(10*w + 7*w + 11*w)*(1240 + 260*w - 1240).\nAnswer: 14560*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 AM and 1:08 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence giii when four letters picked without replacement from giggiggigggigggigi?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 39863664389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 9:37 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 369 - 367. Solve z = -p*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 30\/(-70) + 6*2\/12. Which is the second biggest value?  (a) r  (b) -0.09  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 - c. Let y(b) = -5*b**2 - 12*b - 5. Let x(h) = -6*u(h) + y(h). Let q be x(6). What is the units digit of (18\/q)\/((-4)\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5444 divide 116097179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3807828 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1627 - 1620. What is the nearest to k in 1, -1, -3\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 + 8. Let z = a + 130. Let w = -74 + z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 775.8517 nanograms to milligrams.\nAnswer: 0.0007758517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-192)\/512*476\/42\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 695 and 90350.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/2840 and -167\/900?\nAnswer: 127800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, -1, -97 in decreasing order.\nAnswer: 23, -1, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/7 + 15\/21. What is the units digit of 93\/15 + h\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (11 - (2 - -10)) - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f - 10. Let g be c(8). Let j be (7 - g) + 2 + -1. Let x = j + 3. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*a = -200*a + 56*a + 510 + 612 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**3 + t - t)*(0 + 1 - 2) + 33 + 144250*t**3 + 122 - 144251*t**3.\nAnswer: -3*t**3 + 155","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -4334, -4336, -4338, -4340, -4342, -4344?\n\"Answer: -2*n - 4332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -1005*o**2 + 3 + 1009*o**2 - 4. What is a(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7761263.\nAnswer: 277, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1090251 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 2 = -4*h - 2, -2*h - 2 = -4*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - b**2 - 2. Let r be f(-2). Let q(m) = 2*m - 2. Let c be q(2). Suppose c*w - w - 5 = 0. Calculate the highest common divisor of w and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -4*x**2 + 52*x + 45. Let q be a(9). What is the highest common divisor of 35 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -841\/5262 - 6\/877. What is the second biggest value in -2\/7, z, -21.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 367 + -7421\/20. Calculate the common denominator of (0 - 1)*(-10 - 231\/(-22)) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 13*w**2. Let n(t) = -18*t**2. Determine o(n(h)).\nAnswer: 4212*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -17*s + 22. Calculate x(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*p = -24. Let a(w) = 16*w + 2 - 1 + p - 4*w. Suppose -38*u - 39 = -35*u - 2*o, -u + 5*o = 39. Let m(v) = 3*v + 2. Determine u*m(b) + 2*a(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.4  (b) -4  (c) -100\/3  (d) 622  (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1769.51 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 7\/32?\nAnswer: 7\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 + 8*g**2 - 11*g - 4. Suppose -2*f + 59 = 47. Let c be t(f). What is the third derivative of 4*s**2 + 0*s**2 + 12*s**5 - 26*s**5 - c*s**2 wrt s?\nAnswer: -840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b989 (base 12) to base 7\nAnswer: -113334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 250857.99 from 4.\nAnswer: -250853.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 7*b - 4*o - 172, -80 = -2*b + 5*o. List the prime factors of (-22)\/(-99) - 5\/(b\/(-772)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60419, -60414, -60407, -60398, -60387, -60374?\nAnswer: -60359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 6. Let u = 116 + -115. Is c greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -5 + ((35 - 3) + -17 - 14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-68)\/119)\/(3\/(-2)*1680\/980).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 599 + 45 = 92*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12499479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1197827*j**3 + 5*j**2 + 781*j - 21 wrt j.\nAnswer: -7186962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {l: 3, h: 11, i: 1}?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*j - 9*j = 2*w + 2, 5*j - 1 = 3*w. Let o(m) = -13*m + 52. Is o(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6654.762cm?\nAnswer: 66547620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*k**5 + 21*k**5 - 25*k**2 + k**4 - 828*k - 1115*k + 24*k**5 wrt k?\nAnswer: 600*k**3 + 12*k**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -358785826*y**2 + 808891787.\nAnswer: -717571652*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that p**2\/5 - 6*p\/5 - 27\/5 = 0.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 450*j**2 + 84*j**3 + 65*j - 65*j - 169*j**3 + 5*j**4 - 20*j**3.\nAnswer: 5*j**2*(j - 15)*(j - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -9*t + 5345. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54186321619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/sqrt(160) - (sqrt(7) - (-1*sqrt(21))\/sqrt(3)).\nAnswer: -7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, 8, 47, 122, 245?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3680 by 2.\nAnswer: -1840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -z, -4*l - 5*z = -7*z - 1146. What is the remainder when l is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8468, -16873, -25278, -33683?\nAnswer: -42088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -6*(72\/(-16))\/(-9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ojojjojoooooj. Give prob of sequence jjoo.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 11:20 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, h: 1, u: 1, d: 1, m: 2, b: 1}. Give prob of picking 1 u and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -54 - -50.1. Let s = -3.4 - j. Which is the second smallest value?  (a) 1\/4  (b) -2\/3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 50780, 101532, 152246, 202904, 253488?\n\"Answer: -3*q**3 - q**2 + 50776*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 8*n**2 + 3*n + 4. Let f be w(8). What is the units digit of 21*f\/48*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((11\/(495\/(-12)))\/(4\/72))\/(4326\/(-4120))?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + (-6)\/(-3 + 0). Let q = 1 + k. Solve q*i - r = 20, 8*r + 12 = 3*i + 3*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -45*((-1552)\/(-3492))\/((-4)\/3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 1673*q + 7 = 1674*q, -7*r + 0*r + q + 5 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i + 1658 = 34754. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03?  (a) -4  (b) 0  (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-2*(sqrt(70) + (sqrt(70) - sqrt(70)*-3) - sqrt(70)))\/((sqrt(30)*-1)\/sqrt(3) + -1*sqrt(250)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -46, 3, -22926, 1, -4 in descending order.\nAnswer: 3, 1, -4, -46, -22926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.9 - -3. Which is the closest to d?  (a) -5  (b) -0.34  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 3*f - 3 = 3, -y = 3*f + 6. Let v be y + (0 - 3) + 5. Solve 0*c + 0 + 2\/3*c**4 - 2\/3*c**v - 2\/3*c**3 + 2\/3*c**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 4*g**2 - 151*g - 49. Is v(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 392\/9, 0.4, 0.39, -1\/8 in decreasing order.\nAnswer: 392\/9, 0.4, 0.39, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/3  (b) -1\/19  (c) -1\/6  (d) -1  (e) 347\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25 - 74\/3. Let z(n) = -3*n + 5. Let b be z(-5). Suppose 4*h - b = 0, t + 3*h - 5*h + 11 = 0. Sort q, t, 0 in decreasing order.\nAnswer: q, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3894 - -0.255222223191\nAnswer: 3894.255222223191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -47 - -47.3. Let b be 1\/2 - 3\/4. Let n be ((-1)\/(-3))\/((-7)\/3). What is the closest to 0.1 in n, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -4*m. Let u(d) = -16*d + 418. What is u(r(i))?\nAnswer: 64*i + 418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/(-16)*(-12)\/(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**5\/9 + 38516*a**4\/9 - 12838*a**3\/3 = 0. Calculate a.\nAnswer: 0, 1, 19257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*h**5*l - 11905*h**3*k*l - 157*h**2*k*l - 16*h**2*k + 18*h*k*l wrt h.\nAnswer: -480*h**2*l - 71430*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30038 divided by -2.\nAnswer: 15019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45 + 50661\/819)\/((-2)\/14)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 1271 + 13. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17 + 25. Let g(i) be the first derivative of -i**2\/2 + 11*i - 4. Let z be g(a). Sort 1, 4, z.\nAnswer: 1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 - 48*x**2 + 494*x - 109. Let c be t(33). Sort 2, -2\/7, c, -5, 2\/7.\nAnswer: c, -5, -2\/7, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/264 and -67\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-76)\/(-176) - 2\/11. Which is the closest to 0?  (a) -0.4  (b) q  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88894102?\nAnswer: 2, 11, 107, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k - 62 = -76. Solve 11 = -3*a + b, 3*a + 5*b + 0*b = k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 759*z**2 - 759*z**2 + 4*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12210312 - 31?\nAnswer: 12210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/(-210)*2)\/((-30)\/(-20)*(-30)\/150).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/(-16) + 7923\/152 is divided by (-130)\/(-104) - (-39)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (25\/(-315))\/(7205\/8646)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 2382 = -3*l - 18378. What is the highest common divisor of 16 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -351, -712, -1069, -1416, -1747?\n\"Answer: u**3 - 4*u**2 - 356*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -22*2\/(-4) - 2. Let p(c) = -60*c + 248. Let b be p(4). Let r = h - b. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 5:02 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20867793.\nAnswer: 3, 317, 21943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -43203827\/1694 + 25504. Find the common denominator of a and 93\/242.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21666855 is divided by 1446.\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11584324441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + j**2 + 4*j - 4. Let t(f) = 16*f + 136. Let v(q) = 1. Let k(o) = t(o) - 5*v(o). Let x be k(-8). What is s(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 68 and 812699620?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(450) - sqrt(450) - sqrt(450))*-5 - sqrt(450)*1*-2)*5)\/((sqrt(90) + -5*sqrt(90)*1 - sqrt(90))\/(sqrt(60)\/(sqrt(6) + sqrt(54)))*-5).\nAnswer: 17*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 4*h - 17962, 0 = 3*k + 16*h - 20*h - 17978. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l be (5 - (-8 - -5)) + -8. Suppose 3*b = 7*b - 4*c + 20, -5*b = 3*c - 7. Sort l, -4, -5, b in decreasing order.\nAnswer: l, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - 18. Let a = -13 - d. Calculate the least common multiple of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6731 - ((4 - 3) + 0). Suppose 4*d = -5*g + 17983, -5*g + y - 29265 = -5*d. Suppose 6*i - d = i + 3*v, i - 898 = 3*v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -61 + 58 - (0 - (-6 + -3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -5*(2 + (3 + (sqrt(300) - (-2 + sqrt(300) - sqrt(300) - sqrt(300))))**2 + -4)*-5 + 2.\nAnswer: 5000*sqrt(3) + 30580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 4*i + 1019, -i - 1096 + 92 = 3*r. What is r rounded to the nearest ten?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 50*l**4 - 24*l**4 - 23*l**4 + 2*l**2)*(l - 2 + 2).\nAnswer: 3*l**5 + 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**5)\/x*x\/x**(-2))\/(x**(-12)*x)**(1\/38) assuming x is positive.\nAnswer: x**(315\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 3*l - 28 = -l, -5*v - 3*l = 43. Let q = v + 29. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2398 + 0?\nAnswer: 2398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(720) - sqrt(720)*2) + 1)**2.\nAnswer: 96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -412.1 - -412.1. Let i = 50 + -49.9. Which is the nearest to 0.1?  (a) 1.8  (b) i  (c) -3  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1159263647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11776469, -11776471, -11776473, -11776475?\nAnswer: -11776477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 58592.01 months in decades?\nAnswer: 488.26675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 99110340 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-64)\/80*(-180)\/16\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1615 is divided by 233.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -309*n = -11*n + 2086 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 4 = 9*x. Let j(h) = -h**2 - 4*h - 3. Let o be j(x). Solve 3*c - o - 1 = k, 0 = -2*k + 2*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2152 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u + 18. Let b be 2\/12 - 826\/(-84) - 2. Calculate v(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 - 5*o**2 - o - 1. Let r be q(6). Let x = r + -28. Let v = 8 + -8.1. Which is the closest to -1\/4?  (a) x  (b) v  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -359*r + 1073*r - 361*r - 365*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 3 - 7 - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 b, and 1 f when three letters picked without replacement from {x: 7, b: 3, g: 2, f: 1, l: 2, s: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15 - 1236567?\nAnswer: -1236552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5*-1*36\/15. What are the prime factors of (-4 + m\/(-4))*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 + (-6 + -2 - (0 - (19 - 8))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d**3 - 22*d**2 - 23*d - 2. Let t be k(-10). Find the first derivative of -34*c**3 + 126 + t*c**2 - 36*c**3 + 102*c**3 - 29*c**3 wrt c.\nAnswer: 9*c**2 + 56*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -19*m**2 + 18*m - 88. Let z(t) = -22*t**2 + 17*t - 94. Determine -8*d(q) + 7*z(q).\nAnswer: -2*q**2 - 25*q + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 PM and 7:12 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d. Let r(q) be the third derivative of 5*q**4\/12 - 5*q**2. Calculate r(g(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 8:36 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-280 + 158 + 249)*(0*z - z + 0*z - 3 + 3 - z + (4*z - z - z)*(3 + 2 - 4) + z - 3*z + 4*z).\nAnswer: 254*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2*d = 11 - 4, -5*k - 25 = 5*d. What is the remainder when -14*k\/6 - 1 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/(-60) + 9\/(-15) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1331494055 to the power of 1\/2, to the nearest integer?\nAnswer: 36490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1919 - 1920. Which is the closest to -0.07?  (a) 10  (b) 2\/9  (c) i  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72871969.\nAnswer: 1831, 39799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/18*1*12. Let b be (32\/(-6))\/(k\/(-6)). Do 8 and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 272 - 272. Which is the second biggest value?  (a) 15\/28  (b) 2\/5  (c) u  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/2))**(-7\/12)*(j**1\/j)**(-5\/2)*(j**0)**(3\/35)\/((j*j**0)\/(j*j*j\/j**(-3\/7))) assuming j is positive.\nAnswer: j**(457\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 - 5*a**2 - 6*a - 15. Determine i(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -210 + 213. Let w = -104\/3 + 35. Which is the closest to -3\/4?  (a) w  (b) v  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-6*-2*sqrt(190))\/(sqrt(40)\/(sqrt(4)*-4)))**2*-3 + -5.\nAnswer: 131323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5\/123 - -12\/41. Sort 1\/7, -75, h in decreasing order.\nAnswer: h, 1\/7, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*a - 7*a + 15*a + 2 + 56*a.\nAnswer: 91*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + o + 1)*(5 + 35 - 8).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-5)*b**(-5\/4))\/((b**(-2)*b*b)\/b*b*b*b**(2\/33)*b*b) assuming b is positive.\nAnswer: b**(-1229\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6272\/11*t + 0 - 162\/11*t**3 + 2016\/11*t**2.\nAnswer: -2*t*(9*t - 56)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 60, 242, 546, 972, 1520?\nAnswer: 2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 47563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 0.46, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 161*r**3 - 2*r**2 - r + 2. Let d be f(1). Suppose -2*u + 37 = -4*q - q, q = -5*u + d. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 PM and 7:51 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76 + 1 + 3 + -9 - (-69 - -81).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.4  (b) 0  (c) 5  (d) -4\/5  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -b + 0*b + 0*b + (-1 + 2 - 3)*(-b + b + b) + 3*b - 2*b + b + (-2 + 1 - 1)*(2*b + b - 2*b) + 3*b + 3*b - 7*b as o + h*b and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 + 6*n**2 + 3*n - 4. Calculate the remainder when 27 is divided by x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 126654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 67391*s + 81500?\nAnswer: 67391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/495 - 15\/(-9) and -3\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c**2. Let x(i) be the first derivative of -7*i**5\/60 - 47*i**2\/2 + 29. Let j(g) be the second derivative of x(g). Determine j(l(m)).\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*(v\/(v*v*(v*v**(2\/5)\/v)\/v)*v)\/v)\/v**(3\/2))\/(v**6\/v**(-1\/9)) assuming v is positive.\nAnswer: v**(-631\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 2\/528087 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*j, 4*j = -4*i + 7*i + 33. Let g be 1 + 1*21\/i. Which is the second biggest value?  (a) g  (b) 2  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -133 + -102310310?\nAnswer: -102311103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -145*j**2*u**2 + 2*j**2*u*x - j**2*x + 2*j*u**2*x - u**2*x - 732*u wrt u?\nAnswer: -290*j**2 + 4*j*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -5. Does 2 divide (10\/d)\/(10\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277154.7 grams in micrograms?\nAnswer: 277154700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -310 - -327. Solve 1 = 6*r - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1279 + -1.992\nAnswer: -1280.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/3 - (-2)\/(-2). Let f = 0 - 0.1. Let u = 4.2709 - 3.8709. Which is the nearest to f?  (a) u  (b) -1\/8  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 458 divide 4938157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - 2134?\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -3*j + 178. Suppose 2*d - j = 5*x, x - 5*d + 7 = -d. Let h = 33 + x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1326*m**3 + 1491*m?\nAnswer: 7956*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 6*w + 27. Let m(f) = -f**2 + 4*f + 2. Calculate m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/22*(15\/9)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1331 - 1331 - 5346*v.\nAnswer: -5346*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19 and 2323?\nAnswer: 44137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-210))\/(((-60)\/(-5))\/(14\/(-1)))?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37*i + 2 - 57*i + 22*i**5 + 73*i wrt i?\nAnswer: 440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 161\/30 and 101\/1206.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -43, -161, -357, -631, -983, -1413, -1921?\n\"Answer: -39*n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.1 and 1.2261.\nAnswer: 0.1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 3*g**3 - 3*g**2 - 3*g - 2. Let n(u) = 7*u**3 - 5*u**2 - 5*u - 3. Give -3*n(y) + 5*o(y).\nAnswer: -6*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13.5 in 73, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1246079 is divided by 240?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 - -27. Let g be -130 - d\/4*1*6. Let u = 1 - g. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1351572 is divided by 3051?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004145 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*n - 20*n + 12 = 0. Is n bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from ajhahkkhaawskk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - 15. What is the lowest common multiple of f and 62\/6*(-8)\/(-20) + 434\/(-3255)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 - 5*d + 2. Let h(k) = 2*k**2 + 6*k - 2. Calculate -4*h(p) - 5*j(p).\nAnswer: -3*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 3*g**2 + 15*g + 4. Let d(u) = -u**2 - u + 1. Suppose -m - 10 = 4*m. Let l(a) = m*d(a) - x(a). Does 9 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166893 is divided by 413.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -7*s**3 - 4*s**2 - 3*s - 3. Let w be a(-3). Let l = 264 - w. Let q = -113 + 128. What is the greatest common factor of l and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 - h**2 + (5*h - h - 5*h)*(-3 - 4 + 4)*(-h + 1 - 1).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -49?  (a) -0.4  (b) -0.2  (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 1717765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r + 421003 - 421003. Let m(a) = 3*a + 2. Let n(t) = t + 1. Let x(g) = -m(g) + 2*n(g). Give s(x(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(-1\/3)\/v)\/v**(3\/8))**(31\/2))**(-31))**(-40) assuming v is positive.\nAnswer: v**(-197005\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 9:50 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*(-7 + 8 + 1843*m**3 - 30032*m**2 + 30033*m**2).\nAnswer: -1843*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 208 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add -5 and 2.47483.\nAnswer: -2.52517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10919 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 389 and 933989.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 117 - 120. Which is the second smallest value?  (a) 16  (b) -1\/2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 + -5. Suppose 23656*n = 23696*n - 2040. What is the remainder when n is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 + 3*h + 9. Let y be o(7). Let x = -91 + 193. Let q = y + x. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -191\/374 + 19\/22. Which is greater: -29 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14526 + 14526 - 4396*w + 1276*w + (2 - 1 + 0)*(-w + 2*w + w))*(23*w - 10*w - 10*w - 1) to the form a*w**2 + b + j*w and give a.\nAnswer: -9354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 44 (base 5) to base 8\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1513 - 7538\/5. Let q = h - 179\/35. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 82180 divided by 4109.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2510)\/(-120) + -21)\/((-72)\/(-108))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2493 - 1597. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**3\/3 - 15876*p**2 + 4942496*p\/3 = 0. Calculate p.\nAnswer: 0, 104, 47524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 673\/5 in -1\/6, 7\/8, -5\/3?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 386302 or 11975336\/31?\nAnswer: 386302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*l**2 + 16*l**2 - 35*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of j**3\/3 - 9*j**2\/2 + 4*j + 244. What is p(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of z - 2*z**2 + 2\/3*z**3 + 0. Let b = -263050 - -263047. Let a(k) = 5*k - 5. Give b*a(f) + 4*q(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**3\/4 - 38*s**2 + 1695*s\/4 + 351\/2.\nAnswer: -(s - 9)*(s + 39)*(5*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6387 - 5907. Calculate the lowest common multiple of 80 and w.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84*-3960.\nAnswer: -332640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 + 138*m**2 + 164*m**2 - 300*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 147\/8, -1\/60, -35 in decreasing order.\nAnswer: 147\/8, -1\/60, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 11*h**2 + 2*h - 1. Let c = -65 - -67. Suppose -2*o = -z - 4, 3*o = 11 - c. Suppose z*w = -4*g + 12, g = -0*g - 5*w + 21. What is m(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23 (base 13) to base 12.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3ae4e + -7?\nAnswer: 3ae47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*n**5 + 6*n**5 - 6*n**5 + (2*n**4 + 2*n**2 - 2*n**2)*(-2*n - 4 + 4 + (-n + 1 - 1)*(3 - 1 + 0)).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 53441 and 100.\nAnswer: 5344100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16701 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-158*k + 158*k + 29*k**2)*(k**2 + 2*k**2 - 9*k**2) in the form m + n*k**2 + c*k**4 + z*k**3 + r*k and give c.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7618098 and 12?\nAnswer: 15236196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 12:51 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6456 - -6451. Sort -50, c, -4, 3 in increasing order.\nAnswer: -50, c, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2193?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 2*j + 1, -5*l + 2*j - 14 = 3*j. Calculate the lowest common multiple of l\/(-21)*7*(18 + 0) and 11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 74 = -4*d + n, 2*n = -d + 19. Suppose -17*f - 8230 = -d*f. What are the prime factors of f?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4561189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.061 + 1.391. Let m = 1.330236 - k. What is m rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.4310836 rounded to 3 dps?\nAnswer: 44.431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1079501*u**2 + 1029023 wrt u.\nAnswer: 2159002*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -69417*s**3 - 321*s - 1057009980?\nAnswer: -208251*s**2 - 321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 984663668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 32528028389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15122, 1915, -1, 6.\nAnswer: -1, 6, 1915, 15122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8954 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -o**6\/480 - o**5\/240 + o**4\/48 - 34*o**2. Factor f(x).\nAnswer: -x*(x - 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -9*u + 4*u. Let f = u + -6. Solve 0*g = -2*g - f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 123*q**2 - 14*q**2 + 2 - 2 in the form m*q + j + h*q**2 and give h.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 235468 = 28*o + 235188 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 189 = l. What is the remainder when l is divided by (-24)\/(2\/(-8)*3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**5 + 4*u**5 - 4*u**5 + (-1 - 1 + 0)*(0*u**5 + 2*u**5 - u**5) + u**5 - 3*u**3 + 3*u**3 + 3*u**5 - 1 + 1.\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 3 + 20*q - 4*q to x + a*q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6*5*4\/60. Suppose 0 = l*g - u + 4*u - 29, -5*g = -u - 47. Solve -4*v = -2*v + g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -1967 - -5839\/3. Find the common denominator of (-2 + 4)*(-34)\/4 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -288318, 0, 42 in increasing order.\nAnswer: -288318, 0, 0.4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 - 2*o**2 - 288*o - 2255. Give q(-8).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -2\/19, 4 in decreasing order.\nAnswer: 4, -2\/19, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 76 + 85\/(-68)*8 - 4.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 16) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2243323322 (base 5) in base 2?\nAnswer: -10011010010110110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 556 (base 9) to base 6.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -1159*k**2. Let a(r) = 28*r**2 - 24*r - 6. Let n(x) = 24*x**2 - 20*x - 5. Let q(g) = 5*a(g) - 6*n(g). Calculate c(q(s)).\nAnswer: -18544*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241597 is divided by 1139?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 636661?\nAnswer: 79, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1984 and 4774952?\nAnswer: 1184188096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.822543 plus 15.598?\nAnswer: 17.420543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-9))**(2\/33))**14 assuming z is positive.\nAnswer: z**(-84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9.644 + -7.644. Let j = -0.1 - -0.04. What is the closest to j in 0.6, -5, q?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(245)*2 + 0)**2 - sqrt(245)).\nAnswer: -4900 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/376250 and 49\/20.\nAnswer: 752500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 + 14*z**2 + 16*z + 46. Let n be p(-13). Does 17 divide n\/(35\/1105)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 136432 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9*2\/10)\/(9\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 4*v = -8*y + 12, -2*y - 5*v = 0. Suppose 4*g = y*b + 92, -5*g = b - 92 + 6. What is the remainder when 85 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 52658*f**2 - 12*f - 3. Is i(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of 1\/2*d**4 - 1\/6*d**3 + 55 + 1\/4*d - 1\/4*d**2 + 1\/12*d**6 - 7\/20*d**5. Factor a(r).\nAnswer: (r - 1)**4*(2*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of 29\/6*u**3 + 12*u + 0 + 0*u**2. Let d(b) = 2*b. Determine d(j(w)).\nAnswer: 58*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 46 + -33. 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 i(n) be the first derivative of 5*n**4\/4 + 16*n**3\/3 + 6*n**2 + 615. Factor i(t).\nAnswer: t*(t + 2)*(5*t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4858465 - -6987726. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - (5 + 7 + (4 - 11) + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 279 is divided by 117?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -3*s - 8. Let z be (2 - 6)*15\/12. Let v be r(z). What is the highest common factor of v and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 43*r**2 + 21*r**2 - 63*r**2. Let v(l) = 16*l - l + 3*l. Calculate x(v(n)).\nAnswer: 324*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/6)\/(3\/762). Is j\/((2 - -1) + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 - 4 + 5)*(-o + o - 4*o) - 11*o + 19 - 19)*(-4 + 4 + 4*o)*(19*o + 158 - 158) to c*o**2 + f*o**3 + y + g*o and give f.\nAnswer: -2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - (-1 - (124 + 4)). Let b be ((-16)\/10)\/(7 - w\/20). Let r(l) = -l**2 - 5*l - 2. Give r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -503*z**2 - 5*z + 49. Let i be t(-8). Let q = -22030 - i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, -10, 803 in descending order.\nAnswer: 803, -10, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 1617  (c) -1  (d) -1174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81 - 3 = -21*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3964867, 3964869, 3964871, 3964873, 3964875?\n\"Answer: 2*b + 3964865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r + 6*r - 2*r + 0*r - 4*r + r + 0*r - 4*r + 3*r + (-r + r + 2*r)*(-5 + 2 + 2) + r - 4*r + r - 5*r + 5*r - 6*r to w + q*r and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.6297056 and 2.\nAnswer: 3.2594112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -482 - -467. Sort 0.3, l, 0.2, -3.\nAnswer: l, -3, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -1\/8, 88, 3 in ascending order.\nAnswer: -1\/8, 1, 2, 3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142590685 - 142590685 + 37*t**3.\nAnswer: 37*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32.79 - -32.74427. What is r rounded to three dps?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c + 0?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4870042405?\nAnswer: 5, 107, 9102883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -35014*g**4 + 1841*g.\nAnswer: -420168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 2028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 70392545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-6)*(0 + -2)\/(-14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -18*i - 1. Let b(u) = -333*u + 1401. Let f(w) = -b(w) + 2*s(w). What is the first derivative of f(m) wrt m?\nAnswer: 297","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 33 + -23. Calculate the remainder when 47 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -0.06  (c) 2\/11  (d) 6  (e) 2\/17  (f) -110.1  (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -6. Let r = 51 - 31. Let j be ((-56)\/r)\/(3\/(-15)). Calculate the greatest common factor of j and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -274 - -6025\/22. Let w = j + 59\/110. Which is the closest to w?  (a) 5  (b) -2\/5  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -3, -3\/5, 1\/6.\nAnswer: -3, -3\/5, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3542886, -3542882, -3542878, -3542874, -3542870, -3542866?\n\"Answer: 4*p - 3542890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.02 and 8428104092155.\nAnswer: 8428104092154.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -32*l. Let c(x) = 35*x**2. Give c(h(j)).\nAnswer: 35840*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1427, -1425, -1423, -1421, -1419, -1417?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c = -4*c + 2*v - 3880, -v = -4*c + 3880. What are the prime factors of c?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 621*a**4*g - 3*a**4 + 556*a**3*g + 3*a**2*g - 2*a**2 + 45*a*g + 5*a + 215*g wrt a.\nAnswer: 14904*a*g - 72*a + 3336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(99\/45 + 2\/(-1)). Factor -33 + 2*n**2 + 25 - 4*n**2 + r - 13*n.\nAnswer: -(n + 7)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + -2 - (-2 - 1). What are the prime factors of (1 + -3)\/(-2) + p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 6*o + 16. Let d be u(-2). Suppose 7*g - 2 = 9*g. Put -5, g, d in decreasing order.\nAnswer: d, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 562851574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21\/68 + 1\/17. Let m be (10\/(-8))\/((-20)\/4). Let b = m - g. What is the nearest to b in -0.4, 2\/13, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tx when two letters picked without replacement from hhtettttxttztnxttt?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234973 is divided by 234518?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**3 - 10*r**2 - r + 1. Let h be n(5). Suppose 3*v = 7*v - 60. Calculate the remainder when 2\/h*(3 + -118 + 1) is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, 7, 1, 10 in decreasing order.\nAnswer: 10, 7, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (72\/(-2))\/2 + 3870 + -3887.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(1 + -1*sqrt(425) + sqrt(425) + sqrt(425) + 3 + -3 + sqrt(425)) + -3)*-2)**2.\nAnswer: 320*sqrt(17) + 108804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 582502020 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (292\/(-2) - 6)\/((-124)\/(-93))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*x**5 - 2*x + 2318 - 2*x**2 + 4*x**5 - 2276 wrt x.\nAnswer: 20*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -533 + 530. Let p(s) = 0 - 6 + s - 4 - 7*s. Is 4 a factor of p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79*w**2 - 59*w**2 + 208*w**2 - 2 - 75*w**2 + 2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 - 108 = 2*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.5 - 4. Let d(m) = -2*m + 4. Let t be d(6). What is the biggest value in t, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 - 6*d**2 - 5*d - 9. Let h be p(-6). Let f = h + 1094. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a and 1 y when four letters picked without replacement from {a: 4, b: 1, d: 1, y: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26825 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-171748)\/52 + -7*(-8)\/(-364). Are -3302 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2 + (82\/42 - -4 - 4) and 85\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*-1 + 1)**2*-1.\nAnswer: -20 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from hohoocqhkc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**5 + 28*a**4 + 32*a**3.\nAnswer: -4*a**3*(a - 8)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4\/9  (b) 5  (c) 1\/5  (d) 2  (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 24, 0.2, 1\/4, -29 in ascending order.\nAnswer: -29, 0.2, 1\/4, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 6:09 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28.18 + 0.18. Let u = m + 28.62. Let k = u + -0.566. What is k rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -225 - -1535. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x**3 - 5*x**3 + 6*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*m + 39*l - 37*l - 154, 2*l = 5*m - 132. Let p(n) = 3*n**3 - 4*n**2 + 2*n + 2. Calculate the remainder when m is divided by p(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 4*f - 29 = 0, 0 = 46*s - 47*s - 3*f + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6479 and 31020.\nAnswer: 18270780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/20)\/(2\/(-12)*189\/126). Factor o + 2\/5*a**3 - 6\/5*a + 0*a**2.\nAnswer: 2*(a - 1)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -712, 1, -2\/1319, -5?\nAnswer: -2\/1319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 387935 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ohhshnnnnohhsssosss. What is prob of sequence nhn?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2+-421724450\nAnswer: -421724448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 4 = -4*n + 3*n, 0 = 3*v - 5*n + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + -5)*(117\/(-78) - 101\/2).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 4)*(z - 2*z - 3*z) + (4 + 19 + 22)*(2*z - 2*z + 3*z).\nAnswer: 123*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 20 = -2*b + 7*b, 5*i + 16 = 4*b. Suppose -3*h + i*h = -12. Let m(r) = 2*r + 5 - 5*r**2 + r**2 + 3*r**2. What is m(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0476 and 78.\nAnswer: 77.9524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -7. Let f be 6 - (q\/(-2) - -3). Find p such that p**f - 1\/2*p - 1\/2*p**4 - 1\/2 + p**2 - 1\/2*p**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooko when four letters picked without replacement from okkooooookkkkk.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 10)\/(-15*4\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 9*y**2 + 9*y - 14. Let n(r) = 5*r**2 + 5*r - 7. Let z(a) = 11*n(a) - 6*q(a). Let b = -13 - -19. Is z(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 4*j + 57. Give p(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pkkpppkpkpppppkppk. Give prob of picking 2 k and 2 p.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 60 + -30. Suppose 43*f + 7*d = 39*f + 48, 0 = 2*d. What is the highest common factor of t and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1300) - (-1 + sqrt(1300) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 PM and 3:43 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 38819480437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + (-21)\/(-12))*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -2*j - 762*i + 766*i, -2*i + 54 = 2*j. Calculate the smallest common multiple of j and (10\/(-8))\/((-1)\/8).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 8. Suppose -2*b = -5*q + 8, -3*q = 2*q + 5*b - 15. Solve 7 + q = k*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 30?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 - 5*k**2 + 2*k + 10. Let n be x(-5). Let d = 11 + n. What is the remainder when 18 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, -1, -4, -5, -501 in descending order.\nAnswer: 3\/7, -1, -4, -5, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n + 1. Let l(c) = -c**2 + 3*c - 3. Let j be (-1769)\/549 - 4\/(-18). Let y be (-3 - (-5)\/2)*2. What is j*h(g) + y*l(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 1311.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/4*h - 3\/4*h**3 - 3\/2 + 0*h**2.\nAnswer: -3*(h - 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -294, -654, -1156, -1800, -2586?\nAnswer: -3514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2*d = 12, 3*p + 5*d - 467 = 0. Suppose 148*j - p*j = -58. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-15)\/(-10))\/((-3)\/(-8)). Let b(j) = -j**3 + 5*j**2 + 3*j - 1. Let f be b(s). Solve -2*g = -5*m - f, 4*g = -0*g + m + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1281222496 to the power of 1\/3, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(102) + ((sqrt(102)*-4 - sqrt(102)) + sqrt(102))*-1))\/(sqrt(54)\/(sqrt(1089) - (sqrt(1089) + sqrt(1089)*-4) - sqrt(1089) - sqrt(9))) + -5.\nAnswer: -5 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6) - sqrt(24)\/sqrt(4)*-1)\/(-4*sqrt(3)*2) + (sqrt(450) - sqrt(2) - (sqrt(2) - sqrt(10)\/sqrt(5))*-6))**2.\nAnswer: 3025\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 + 1608\/132)*(-15 - (-9 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h - 90*h**3 + 249*h**3 - 104*h**3 + 454*h - 111*h**3 - 2*h**4 wrt h?\nAnswer: -24*h**2 - 336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2 + 64*f - 192.\nAnswer: -4*(f - 12)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 32*s. Let g(q) = -10*q**2 - 11*q + 11. Let r(h) = -2*h**2 - 2*h + 2. Let v(x) = 2*g(x) - 11*r(x). Give j(v(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 8*h + 6. Let g be r(8). Suppose 14 = c - g. Solve -2*a + 4*v = c, -4*v + 13 = -5*a - 19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -48\/7  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 3*s**4 - 3*s**3 - 9*s**2 + 3*s + 6 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, e: 5, b: 1, k: 1, y: 3}. What is prob of picking 3 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + -1.9. What is the nearest to -4 in -1, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22416.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from pipppppppppppippiipp.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -7*x**2 + 12*x - 12. What is w(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 168?  (a) 4  (b) 67.4  (c) 0.4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(152) + sqrt(152)*-3) + sqrt(152))\/(sqrt(1152)*-1).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10011 + -12022001112?\nAnswer: -12021221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*x**2 + x + 4*x**2 + 2 + x**2 - 4*x**2 + x**4 as j*x**3 + t*x**4 + c*x + i + b*x**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5220840 divided by -18780.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 3*v = 54, 2*q + 90 = 7*q - 4*v. Let w = 31 - q. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16*f**4 - 1133656*f**2*j - 209677583*j wrt f.\nAnswer: 64*f**3 - 2267312*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11789994?\nAnswer: 2, 3, 19, 103421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 340, 320, 300, 280?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**3 + 4*k**2 + 2*k + 3. Calculate r(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1463\/846 + -31\/47. Let y = -37069\/1107 + 1420\/41. What is the common denominator of y and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.727 less than -55?\nAnswer: -80.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8701*a**3 + 2229*a**3 + 2017*a**3 + 2230*a**3 + 2233*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/4*-4*55\/396\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117*o**5\/7 + 696*o**4\/7 + 10683*o**3\/7 + 78*o**2 = 0. What is o?\nAnswer: -7, -2\/39, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*v + 4920 = -49*v. Is v less than or equal to -204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 42\/593 and -37\/3129.\nAnswer: 1855497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 3*w**7\/35 - w**5\/15 + 14*w**2. What is the third derivative of z(m) wrt m?\nAnswer: 432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -360 - -614. Let x = d + -254.00299. What is x rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5\/(700\/116) + (-3)\/7. Put v, -0.1, 0.5 in decreasing order.\nAnswer: 0.5, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2741, -2394, -2049, -1706, -1365, -1026?\n\"Answer: -l**2 + 350*l - 3090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqqqqpqqqqqqppqqp. What is prob of picking 1 p and 2 q?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7072 + 23351 = 3*f - 3*k, -2*k = 6. Let q = -5138 + f. What is q rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/145  (b) 0.03852  (c) 3  (d) 2\/9  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of b**4\/3 - 4*b**3\/3 + 4*b**2. What is the units digit of z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(95)*5 - -1*sqrt(95)*4)\/(sqrt(35)\/((sqrt(70) - sqrt(70)*4)\/sqrt(10))).\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -7. What is the lowest common multiple of k and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*r - 3*c + 76, -3*c + 32 = r - 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y**3 - y - 7. Let x(s) = -s. Let u(l) = m(l) - x(l). Find the first derivative of u(v) wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 6*n - 2156 = 0. List the prime factors of (-14)\/(n\/63)*-4*10.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2652414 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 174*v + 89. Suppose -m - 5*f - 8 = 0, 2*m + 4*f - 2 = -0. What is the thousands digit of l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 divided by -98?\nAnswer: 43\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44 - 32 - 12 + 369*d)*(-3 + 5 + 0).\nAnswer: 738*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 313577.\nAnswer: 11, 29, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x - 3*x + x)*(-3*x**3 + 5*x**3 - 5*x**3) + (-2*x**2 - x**2 + x**2)*(-x**2 - x**2 + 0*x**2).\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 35*y + 29*y - 2)*(0*y + 2*y + 0*y)*(-2*y + 0*y + y).\nAnswer: 12*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 12\/549661 and -43\/33201.\nAnswer: 4946949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.21 + 26.69. What is p rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-18*(-2)\/2)\/(-1). Let y be z\/27 - (-148)\/6. Suppose -y*s = -25*s - 30. Is -30 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 492 + -491.99998985. What is q rounded to seven decimal places?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1722424?\nAnswer: 2, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 18 = 2*c. Let l(q) = -q**3 + 2*q**2 + q. Let k be l(c). Suppose k*o + 2*h - 1084 = 96, -2959 = -5*o - 2*h. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p - 5*p - 5 + 5*p. Suppose 3*v + 10 = 5*v. Let y be b(v). Solve 2*w + i + 2*i - 16 = y, -23 = -3*w - 4*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1048*d + 384*d + 7764 - 46276 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 1) + 0 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3 - 6 - 6 + 2*s. Let v be x(6). Suppose -b + 5 = f, -5*b - 5*f + 25 = -3*b. Solve b = -7*m + v*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1444808 and 23162?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 18 + 189?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(189)\/(sqrt(28)\/sqrt(4) + sqrt(7))*5.\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.349404682 + 20434?\nAnswer: 20434.349404682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 - 58 - -15) + 8 + -16?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-10) + 6\/(-10))*(-16)\/52. Which is the biggest value?  (a) -4  (b) -0.1  (c) m  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011100001011 (base 2) in base 3?\nAnswer: 22002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 2)\/(9\/(-528)). Suppose 0 = -11*o + 4*o + 224. Calculate the greatest common divisor of l and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42.19 + 0.81. Let h = -19 + u. Let a = h - 25.5. Which is bigger: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -63 + 87. Let w = -23 + c. Calculate the remainder when w is divided by (-10)\/(-6) - (-4)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23945 is divided by 7342?\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 593666528 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/6  (b) 3  (c) 0.5  (d) 116  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -891\/5 + 178. What is the second smallest value in s, -10, -0.1, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1988, 1989, 1990?\nAnswer: 1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 1.760094mg?\nAnswer: 0.000000001760094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 730 is divided by 182.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50 by 202.\nAnswer: -25\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 7*q**2 + 22*q. Suppose -2*g = w - 16 - 0, -3*w - 22 = -4*g. Is i(g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 4*a = -404, s - 3*s = -4*a - 206. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115*n + 1113 - 2729 = -1271. Let t(s) = 3*s**2 + 7*s - 7. Let j(r) = -4*r**2 - 10*r + 10. Let y(a) = -5*j(a) - 7*t(a). What is y(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/126 and 51\/112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 + 0. Let a(l) = -l**3 + 13*l**2 + 14*l. Let s be a(f). Suppose 17 = 5*m - 3*g - 107, 3*m - g - 72 = s. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 - y + 1. Let f be r(-2). Let z(l) = 2*l**3 + 11*l**2 - 7*l - 1. Let v(t) = t**3 + t**2 + 1. Let b(n) = f*z(n) + 3*v(n). What is b(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o. Let h(f) be the first derivative of -5*f**2\/2 - 99. Suppose 4*p - 2*p = -12. Let g = 2 - 1. Calculate g*h(q) + p*i(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -5, 15 in descending order.\nAnswer: 15, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 2*y)*(-93 - 144 - 542 + 124) to r*y + s and give r.\nAnswer: -1310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 0 + -1 + 2. Let x be q\/(-6)*27\/3. Solve -x*u - 20 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*i + 8 = 32*i + 3*s, s = 5*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -831 - 5. Let b = -503 - y. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1325 - 1311 = 2*p + 2*a, -a = 6*p - 32 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*n + 215 = 89 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 1 - 21. Solve g = 6*g - 3*x - 10, x = -n*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 13 + (-15 - -5 - -99)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -n + 1\/6*n**3 - 3 - n**2. Let c(h) be the first derivative of m(h). Let p(s) = -3*s + 6. Calculate 7*c(d) + 2*p(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*w**2 + 9*w**2 + 0*w**2 - 3*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 10 - 28 = -2*k, 58 = 4*k + 3*y. What is the remainder when 156 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5626413.\nAnswer: 3, 13, 19, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -328743 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 440 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(((-8)\/10)\/(4\/10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*d - 2*d + 2*d + (-2 + 1 - 3)*(-d + 2 - 2))*(0*d + 3*d - 4*d)*(6 - 53 + 4) to g*d + f*d**2 + m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 2*i - 105 = -100, 0 = w + 2*i - 9 - 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -535.2 + -35.8. Let z = 570.999998484 + y. What is z rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 98 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n, 681*n - 678*n = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 137 + -63. Calculate the remainder when l is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/(-9))\/(4571\/52893).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -489*v - 5586. Determine r(-12).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2619*c - 39841. Calculate y(-15).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62914637?\nAnswer: 17, 23, 160907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000094185 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7a - -1bc?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62, -520, -1758, -4166, -8134?\nAnswer: -14052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 151  (b) 5  (c) 88.72  (d) 5\/2  (e) 1  (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 310*z + 912 = 424*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.054 - -33.946. Let u = -33.9999974 + w. Round u to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}